JOHN ZINK Combustion Handbook
JOHN ZINK Combustion Handbook
                                                         COMBUSTIONHANDBOOK
                                                                                      THE J OHN                                              Z INK
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                                                                                             PUBLISHED TITLES
                                                                                      Oxygen-Enhanced Combustion
                                                                                              Charles E. Baukal, Jr.
                                       COMBUSTION
                                                HANDBOOK
                                                                   THE J OHN                                              Z INK
                                                                                     CRC Press
                                                                    Boca Raton London New York Washington, D.C.
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                                                                               The John Zink combustion handbook / Charles E. Baukal, editor ; Robert Schwartz, associate editor.
                                                                                          p. cm. — (Industrial combustion series)
                                                                                      Includes bibliographical references and index.
                                                                                      ISBN 0-8493-2337-1 (alk. paper)
                                                                                      1. Combustion engineering—Handbooks, manuals, etc. I. Baukal, Charles E.
                                                                                  II. Schwartz, Robert (Robert E.) III. John Zink Company. IV. Series.
                                                                      This book contains information obtained from authentic and highly regarded sources. Reprinted material is quoted with
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                   Foreword
                   As we enter the twenty-first century, the importance of                   tool in combustion research, development, analysis, and
                   energy for industry, transportation, and electricity generation           equipment design.
                   in our daily lives is profound. Combustion of fossil fuels is                Today’s diagnostic tools and instrumentation — with capa-
                   by far the predominant source of energy today and will likely             bilities unimaginable just a few years ago — allow engineers
                   remain that way for many years to come.                                   and scientists to gather detailed information in hostile com-
                      Combustion has played major roles in human civilization,               bustion environments at both microscopic and macroscopic
                   including both practical and mystical ones. Since man dis-                levels. Lasers, spectroscopy, advanced infrared, and ultra-
                   covered how to create fire, we have relied on combustion to               violet camera systems are used to nonintrusively gather quan-
                   perform a variety of tasks. Fire was first used for heating and           titative and qualitative information, including combustion
                   cooking, and later to manufacture tools and weapons. For all              temperature, velocity, species concentration, flow visuali-
                   practical purposes, it was not until the onset of the Industrial          zation, particle size, and loading. Advanced diagnostic sys-
                   Revolution in the nineteenth century that man started to har-             tems and instrumentation are being transferred beyond the
                   ness power from combustion. We have made rapid progress                   laboratory to implementation in practical field applications.
                   in the application of combustion systems since then, and                  The information obtained with these systems has consider-
                   many industries have come into existence as a direct result               ably advanced our knowledge of combustion equipment and
                   of this achievement.                                                      has been an indispensable source of CFD model validation.
                      Demands placed on combustion systems change continu-
                                                                                                Oil refining, chemical process, and power generation are
                   ously with time and are becoming more stringent. The safety
                                                                                             energy-intensive industries with combustion applications in
                   of combustion systems has always been essential, but empha-
                                                                                             burners, process heaters, boilers, and cogeneration systems,
                   sis on effective heat transfer, temperature uniformity, equip-
                                                                                             as well as flares and thermal oxidizers. Combustion for these
                   ment scale-up, efficiency, controls, and — more recently —
                                                                                             industries presents unique challenges related to the variety of
                   environmental emissions and combustion-generated noise
                                                                                             fuel compositions encountered. Combustion equipment must
                   has evolved over time. Such demands create tremendous
                                                                                             be flexible to be able to operate in a safe, reliable, efficient,
                   challenges for combustion engineers. These challenges have
                                                                                             and environmentally responsible manner under a wide array
                   been successfully met in most applications by combining
                                                                                             of fuel compositions and conditions.
                   experience and sound engineering practices with creative and
                   innovative problem-solving.                                                  Combustion is an exciting and intellectually challenging
                      Understanding combustion requires knowledge of the fun-                field containing plenty of opportunities to enhance fundamen-
                   damentals: turbulent mixing, heat transfer, and chemical                  tal and practical knowledge that will ultimately lead to devel-
                   kinetics. The complex nature of practical combustion sys-                 opment of new products with improved performance.
                   tems, combined with the lack of reliable analytical models in                This book represents the tireless efforts of many John Zink
                   the past, encouraged researchers to rely heavily on empirical             engineers willing to share their unique knowledge and expe-
                   methods to predict performance and to develop new products.               rience with other combustion engineers, researchers, opera-
                   Fortunately, the combustion field has gained considerable                 tors of combustion equipment, and college students. We have
                   scientific knowledge in the last few decades, which is now                tried to include insightful and helpful information on com-
                   utilized in industry by engineers to evaluate and design com-             bustion fundamentals, combustion noise, CFD design, exper-
                   bustion systems in a more rigorous manner. This progress is               imental techniques, equipment, controls, maintenance, and
                   the result of efforts in academia, government laboratories,               troubleshooting. We hope our readers will agree that we have
                   private labs, and companies like John Zink.                               done so.
                      The advent of ever-faster and more powerful computers
                   has had a profound impact on the manner in which engineers
                   model combustion systems. Computational Fluid Dynamics                                                                                        David H. Koch
                   (CFD) was born from these developments. Combined with                                                                                Executive Vice President
                   validation by experimental techniques, CFD is an essential                                                                                   Koch Industries
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Preface
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                   Combustion is described as “the rapid oxidation of a fuel                        processes so that theoretical correlations and predictions
                   resulting in the release of usable heat and production of a vis-                 can be made on the basis of secure and realistic models.7
                   ible flame.” 1 Combustion is used to generate 90% of the
                   world’s power.2 Regarding the science of combustion, Liñán                     Despite the length of time it has been around, despite its
                   and Williams write,                                                         importance to man, and despite vast amounts of research,
                                                                                               combustion is still far from being completely understood. One
                        Although combustion has a long history and great eco-                  of the purposes of this book is to improve that understanding,
                        nomic and technical importance, its scientific investigation           particularly in industrial combustion applications in the pro-
                        is of relatively recent origin. Combustion science can be              cess and power generation industries.
                        defined as the science of exothermic chemical reactions in
                        flows with heat and mass transfer. As such, it involves
                                                                                                  This book is generally organized in two parts. The first part
                        thermodynamics, chemical kinetics, fluid mechanics, and                deals with the basic theory of some of the important disci-
                        transport processes. Since the foundations of the second               plines (combustion, heat transfer, fluid flow, etc.) important
                        and last of these subjects were not laid until the middle of           for the understanding of any combustion process and covers
                        the nineteenth century, combustion did not emerge as a                 Chapters 1 through 13. While these topics have been satis-
                        science until the beginning of the twentieth century.3                 factorily covered in many combustion textbooks, this book
                                                                                               treats them from the context of the process and power gener-
                      Chomiak writes, “In spite of their fundamental importance
                                                                                               ation industries. The second part of the book deals with spe-
                   and practical applications, combustion processes are far from
                                                                                               cific equipment design issues and applications in the process
                   being fully understood.” 4 Strahle writes, “combustion is a
                                                                                               and power generation industries.
                   difficult subject, being truly interdisciplinary and requiring the
                   merging of knowledge in several fields.”5 It involves the study
                   of chemistry, kinetics, thermodynamics, electromagnetic radi-
                   ation, aerodynamics and fluid mechanics including multi-
                   phase flow and turbulence, heat and mass transfer, and quan-                REFERENCES
                   tum mechanics to name a few. Regarding combustion research,
                                                                                                   1. Industrial Heating Equipment Association, Combustion
                        The pioneering experiments in combustion research, some                       Technology Manual, Fifth Edition Arlington, VA, Com-
                        600,000 years ago, were concerned with flame propagation                      bustion Division of the Industrial Heating Equipment
                        rather than ignition. The initial ignition source was pro-                    Association, 1994, 1.
                        vided by Mother Nature in the form of the electrical dis-                  2. N. Chigier, Energy, Combustion, and Environment
                        charge plasma of a thunderstorm or as volcanic lava,                          McGraw-Hill, New York, 1981, ix.
                        depending on location. … Thus, in the beginning, Nature
                        provided an arc-augmented diffusion flame and the first of                 3. A. Liñán and F.A. Williams, Fundamental Aspects of
                        man’s combustion experiments established that the heat of                     Combustion Oxford University Press, Oxford, 1993, 3.
                        combustion was very much greater than the activation
                                                                                                   4. Chomiak, Combustion: A Study in Theory, Fact and
                        energy — i.e., that quite a small flame on a stick would
                                                                                                      Application, 1.
                        spontaneously propagate itself into a very large fire, given
                        a sufficient supply of fuel.6                                              5. W.C. Strahle, An Introduction to Combustion Gordon
                                                                                                      & Breach, Longhorne, PA, 1993, ix.
                     In one of the classic books on combustion, Lewis and von
                                                                                                   6. F.J. Weinberg, “The First Half-Million Years of Com-
                   Elbe write,
                                                                                                      bustion Research and Today’s Burning Problems,” in
                                                                                                      the Fifteenth Symposium (International) on Combus-
                        Substantial progress has been made in establishing a com-                     tion, The Combustion Institute, Pittsburgh, PA, 1974, 1.
                        mon understanding of combustion phenomena. However,
                        this process of consolidation of the scientific approach to                7.     B. Lewis and G. von Elbe, Combustion, Flames and
                        the subject is not yet complete. Much remains to be done                         Explosions of Gases, Third Edition, Academic Press,
                        to advance the phenomenological understanding of flame                           New York, 1987, xv.
                                                                                        ix
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                   Acknowledgments
                   The authors would like to collectively thank the John Zink               he has been involved with the art and science of burning
                   Company, LLC for the consistent help and support provided                wastes. Thanks also to all those who directly or indirectly
                   during the preparation of this book. Many of our colleagues              helped him gain the experience and knowledge to contribute
                   have helped in the ideas, the writing, and the preparation of            to his chapter. It is a continuing education process. Robert
                   figures and tables. We would like to especially thank the John           Schwartz thanks his wife, Stella, for her patience throughout
                   Zink management including Steve Pirnat (President), Earl                 the years. In addition, he would like to acknowledge the work
                   Schnell (Vice President of Burners), Roberto Ruiz (Vice
                                                                                            of each of the authors and thank them for their contributions.
                   President of Technology and Commercial Development), Jim
                                                                                            A very special thank you to David Koch for the opportunity
                   Goodman (Vice President of the Systems Group), and Andy
                                                                                            to work on this book and to Chuck Baukal and Dave Fitzgerald
                   Barrieau (General Manager of Todd Combustion) for their
                   interest and attention in this project and for providing the             for their untiring efforts. Prem Singh thanks his wife and
                   resources to complete it. The authors would like to thank Dr.            daughters for their constant encouragement and inquiry about
                   David Fitzgerald who spent countless hours formatting,                   this book that prompted him to prepare his chapters in time.
                   drawing figures, editing style, getting permissions, and col-            Joseph Smith would like to thank the Lord for His continued
                   lecting information for this book. The project would certainly           grace in his life. He gives all credit to Him for anything
                   have taken much longer without his help. The authors would               noteworthy that he’s done. Tim Webster would like to thank
                   also like to thank Kevin Hardison who drew some of the fig-              his parents, Lee and Marilyn Webster, for their continued
                   ures used in several chapters.                                           support and encouragement, which has made all his personal
                      Chuck Baukal would like to thank his wife Beth and his                and professional accomplishments possible. Jeff White thanks
                   daughters Christine, Caitlyn, and Courtney for their patience
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                                                                                            his wife and family who supported him even when he was
                   and help during the writing of this book. He would also like             very late at the office. He also thanks the John Zink Flare
                   to thank the good Lord above, without whom this would not
                                                                                            Group who continue to find new situations from which we all
                   have been possible. Larry Berg would like to thank his wife,
                                                                                            can learn something. Roger Witte would like to thank all his
                   Betty, who has always encouraged him to be his very best at
                                                                                            colleagues at John Zink Company for the wisdom and the
                   work. Without her support, much of his career would not have
                   happened. He would also like to thank God who has blessed                knowledge they shared with him in writing this book. He
                   him with the talent and ability to work as a research engineer           would especially like to thank Dr. Robert R. Reed, Herschel
                   and participate in the creation of this book. Joe Colannino              Goodnight, Don Iverson, Harold Koons, and Bob Schwartz
                   gives special thanks to his wife, Judy, for never complaining            for the knowledge and wisdom they have shared through the
                   (not even once) regarding the myriad of evenings and week-               years and their patience in letting him make the mistakes that
                   ends he devoted to this project. He knows that God is the giver          one makes in learning the combustion business. He would also
                   of every good gift whenever he hears “Hi, honey, I’m happy               like to thank his wife, Nancy, for putting up with the long
                   you’re home.” Joe Gifford gives many thanks to his wife                  hours of working at home in writing his chapters.
                   Barbara for typing, colleague Jim Heinlein, for suggestions
                   and review, Kevin Hardison, for preparing figures, and to                   The authors and especially the editor would like to give a
                   Charles Baukal and David Fitzgerald for guidance and editing.            special acknowledgement to Andrea Demby at CRC Press.
                   Bob Hayes would like to thank God, his family, and his wife,             This project would not have been nearly as successful without
                   for all of their love and encouragement. Paul Melton thanks              her tireless efforts working days, nights, and weekends on
                   his wife, Toni, (and daughter, Angela, before she left for col-          this project for many months. We salute her and thank her
                   lege) for her patience and understanding during the many years           for her unending patience with our numerous revisions!
                                                                                     xi
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                   CHAPTER 2
                   TABLE 2.1                    Alphabetical List of Atomic Weights for Common Elements. (From IUPAC Commission on Atomic Weights and
                                                Isotopic Abundances, Atomic Weights of Elements, 1995. Pure Appl. Chem., 68, 2339, 1996. With permission.)
                   TABLE         2.2            Molar Ratios for Some Combustion Reactions and Products.
                   TABLE         2.3            Molecular Weights and Stoichiometric Coefficients for Common Gaseous Fuels.
                   TABLE         2.4            Combustion Data for Hydrocarbons.
                   TABLE         2.5            Adiabatic Flame Temperature.
                   CHAPTER 3
                   TABLE 3.1                    Thermal Conductivity of Common Materials. (From S.C. Stultz and J.B. Kitto, Eds., Steam: Its Generation and Use,
                                                40th ed., The Babcock & Wilcox Company, Barberton, OH, 1992. With permission.)
                   TABLE 3.2                    Properties of Various Substances at Room Temperature.
                   TABLE 3.3                    Properties of Selected Gases at 14.696 psi. (From F.P. Incropera and D.P. DeWitt, Fundamentals of Heat and Mass
                                                Transfer, 4th ed. Copyright© 1996. Reprinted by permission of John Wiley & Sons, Inc.)
                   TABLE 3.4                    One-dimensional, Steady-State Solutions to the Heat Equation with No Generation30.
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                   TABLE 3.5                    Typical Convective Heat Transfer Coefficients.
                   TABLE 3.6                    Summary of Convection Correlations for Flow in a Circular Tube.29 (From F.P. Incropera and D.P. DeWitt, Funda-
                                                mentals of Heat and Mass Transfer, 4th ed. Copyright© 1996. Reprinted by permission of John Wiley & Sons, Inc.)
                   TABLE 3.7                    Constants of Equation (3.80) for a Circular Cylinder in Cross Flow.
                   TABLE 3.8                    Constants of Equation (3.85) for the Tube Bank in Cross Flow. (From F.P. Incropera and D.P. DeWitt, Fundamentals
                                                of Heat and Mass Transfer, 4th ed. Copyright© 1996. Reprinted by permission of John Wiley & Sons, Inc.)
                   TABLE         3.9            Spectrum of Electromagnetic Radiation.
                   TABLE         3.10           View Factors for Two-dimensional Geometries.
                   TABLE         3.11           View Factors for Three-dimensional Geometries.
                   TABLE         3.12           Normal Emissivities, ∑, for Various Surfaces.
                   TABLE         3.13           Mean Beam Lengths Le for Various Gas Geometries.
                   CHAPTER 4
                   TABLE         4.1            Viscosity Conversion Table.
                   TABLE         4.2            Properties of U.S. Standard Atmosphere at Sea Level.
                   TABLE         4.3            Equivalent Roughness for New Pipes.
                   TABLE         4.4            Loss Coefficients for Various Fittings.
1 Permission and source lines are in addition to or replacement of citations in the text.
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              CHAPTER 5
              TABLE 5.1                                                     Example Pipeline Quality Natural Gas. (From Gas Processors and Suppliers Association, GPSA Engineering Data
                                                                            Book, Vol. 1, 10th ed., Tulsa, OK, 1987, pp. 2–3. With permission.)
              TABLE                                                  5.2    Commercial Natural Gas Components and Typical Ranges of Composition.
              TABLE                                                  5.3    Composition of a Typical Refinery Gas.
              TABLE                                                  5.4    Typical Composition of Steam Reforming/PSA Tail Gas.
              TABLE                                                  5.5    Typical Composition of Flexicoking Waste Gas.
              TABLE                                                  5.6    Volumetric Analysis of Typical Gaseous Fuel Mixtures.
              TABLE                                                  5.7    Physical Constants of Typical Gaseous Fuel Mixtures.
              TABLE                                                  5.8    Physical Constants of Typical Gaseous Fuel Mixture Components.
              TABLE                                                  5.9    Quantitative Listing of Products Made by the U.S. Petroleum Industry. (From Gas Processors and Suppliers Associ-
                                                                            ation, GPSA Engineering Data Book, Vol. 1, 10th ed., Tulsa, OK, 1987, p. 6. With permission.)
              TABLE                                                  5.10   General Fraction Boiling Points.
              TABLE                                                  5.11   Requirements for Fuel Oils (per ASTEM D 396).
              TABLE                                                  5.12   Typical Analysis of Different Fuel Oils.
              TABLE                                                  5.13   Naphtha Elemental Analysis.
              TABLE                                                  5.14   Viscosity Conversion Chart.
              CHAPTER 6
              TABLE                                                  6.1    Combustion Emission Factors (lb/106 Btu) by Fuel Type.
              TABLE                                                  6.2    Uncontrolled NOx Emission Factors for Typical Process Heaters.
              TABLE                                                  6.3    Reduction Efficiencies for NOx Control Techniques.
              TABLE                                                  6.4    NOx Control Technologies in Process Heaters.
              TABLE                                                  6.5    NOx Reductions for Different Low-NO Burner Types. (From A. Garg, Chemical Engineering Progress, 90, 1, 46–49.
                                                                            Reproduced with permission of the American Institute of Chemical Engineers. Copyright© 1994 AIChe. All rights
                                                                            reserved.)
              CHAPTER 7
              TABLE                                                  7.1    The Ten Octave Bands.
              TABLE                                                  7.2    Octave and One-Third Octave Bands.
              TABLE                                                  7.3    Addition Rules.
              TABLE                                                  7.4    Sound Levels of Various Sources.
              TABLE                                                  7.5    OSHA Permissible Noise Exposures.
              TABLE                                                  7.6    Overall Sound Pressure Lever from Combustion.
              TABLE                                                  7.7    The Overall Sound Pressure Level (OASPL) Determined Experimentally and Using the Mathematical Model.
              CHAPTER 8
              TABLE 8.1                                                     Exit Mach Number, Area Ratio, Driving Force Ratio, and Driving Force Percentage Increase for Various Gas Pressures
                                                                            (γ = 1.33 and Pa = 14.3 psia+).
              TABLE 8.2                                                     Values for a 90o Mitered Elbow.
              CHAPTER 9
              TALBE                                                  9.1    Current CFD Applications n the Chemical Process Industry.
              TABLE                                                  9.2    Universal “Empirical” Constants Used in k-∑ Turbulence Model.
              TABLE                                                  9.3    Cartesian Differential Equation Set.
              TABLE                                                  9.4    Cylindrical Differential Equation Set.
              TABLE                                                  9.5    Composition of Acid Gas Used in CFD Study.
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                   CHAPTER 10
                   TABLE 10.1                   Flammability Limits for Common Fuels at Standard Temperature and Pressure. (Courtesy of R.J. Reed, North American
                                                Combustion Handbook, Vol. I, 3rd ed., North American Manufacturing Company, Cleveland, OH, 1986.)
                   TABLE 10.2                   Minimum Ignition Temperatures for Common Fuels at Standard Temperature and Pressure. (Courtesy of R.J. Reed,
                                                North American Combustion Handbook, Vol. I, 3rd ed., North American Manufacturing Company, Cleveland, OH,
                                                1986.)
                   TABLE 10.3                   Flammability and Ignition Characteristics of Liquids and Gases. (Adapted from D.R. Lide, Ed., CRC Handbook of
                                                Chemistry and Physics, 80th ed., CRC Press, Boca Raton, FL, 1999. With permission.)
                   TABLE 10.4                   Ignition Sources of Major Fires. (Adapted from the Accident Prevention Manual for Industrial Operations, National
                                                Safety Council, Itasca, IL, 1974.)
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                   TABLE 10.5                   Minimum Ignition Energies Required for Common Fuels.
                   TABLE 10.6                   Benefits of a Successful Process Knowledge and Documentation Program. (Adapted from the GPSA Engineering
                                                Data Book, Vol. II, 10th ed., Gas Processors and Suppliers Association, Tulsa, OK, 1994.)
                   CHAPTER 12
                   TABLE 12.1                   Gas Valve Data.
                   TABLE 12.2                   Data for Characterizer.
                   CHAPTER 13
                   TABLE         13.1           Some Potential Factors Affecting NOx Response from a Burner.
                   TABLE         13.2           NOx as a Function of Burner Geometry and Operation.
                   TABLE         13.3           Transforms for Table 13.4.
                   TABLE         13.4           Transformed Data for Fuel-staged Burner.
                   TABLE         13.5           Generic ANOVA Table.
                   TABLE         13.6           F-Distribution, 99%, 95%, and 90% Confidence.
                   TABLE         13.7           ANOVA Table for Equation 13.2 Applied to Data of Table 13.4.
                   TABLE         13.8           ANOVA for Table 13.7 with Separate Effects.
                   TABLE         13.9           ANOVA for Table 13.7 with Pooled Effects.
                   TABLE         13.10          Factorial Design with Replicate Centerpoints.
                   TABLE         13.11          Generic ANOVA for Factorial Design with Replicates.
                   TABLE         13.12          ANOVA for Table 13.10 and Equation.
                   TABLE         13.13          ANOVA for Factorial Design with Centerpoint Replicates Case 2 of Table 13.11.
                   TABLE         13.14          ∫ Fractional Factorial [FF(3,-1,0)].
                   TABLE         13.15          FF(3,0,4) in Two Blocks.
                   TABLE         13.16          Experimental Design with Categorial Factors.
                   TABLE         13.17          ANOVA for Table 13.16.
                   TABLE         13.18          CC(3,0,6) Design.
                   TABLE         13.19          ~CC(3,0,3) Design.
                   TABLE         13.20          ANOVA for Table 13.19 and Equation (13.38).
                   TABLE         13.21          Example of an Orthogonal Subspace for a q = 3 Simplex.
                   TABLE         13.22          FF(7,-2,0) Design Generating a Combined Mixture-Factorial in Five Factors – Two at Four Levels and Three at Two
                                                Levels.
                   CHAPTER 14
                   TABLE         14.1           Tulsa Natural Gas (TNG) Composition and Properties.
                   TABLE         14.2           Example Refinery Gas.
                   TABLE         14.3           Comparison of Refinery Gas to Test Blend.
                   TABLE         14.4           Test Procedure Gas Specification Sheet.
                   TABLE         14.5           Example Test Procedure.
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              CHAPTER 15
              TABLE 15.1                                                          Burner Throat Area for Different Tile Dimensions.
              CHAPTER 16
              TABLE                                                       16.1    Static Draft Effect per Foot of Height.
              TABLE                                                       16.2    Typical Flame Dimensions for Different Burner Types.
              TABLE                                                       16.3    Typical Excess Air Values for Gas Burners.
              TABLE                                                       16.4    Typical Excess Air Values for Liquid Fuel Firing.
              CHAPTER 17
              TABLE 17.1                                                          Ratio of Upper and Lower Explosive Limits and Flashback Probability in Premix Burners for Various Fuels.
              TABLE 17.2                                                          Troubleshooting for Gas Burners.
              TABLE 17.3                                                          Troubleshooting for Oil Burners.
              CHAPTER 18
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              CHAPTER 21
              TABLE 21.1                                                          Typical Thermal Oxidizer Operating Conditions.
              TABLE 21.2                                                          Relative Characteristics of Centrifugal Blowers.
              CHAPTER 1
              FIGURE                                                       1.1    Typical petroleum refinery.
              FIGURE                                                       1.2    Typical refinery flow diagram.
              FIGURE                                                       1.3    Offshore oil rig flare.
              FIGURE                                                       1.4    Duct burner flame.
              FIGURE                                                       1.5    Duct burner in large duct.
              FIGURE                                                       1.6    Front of boiler burner.
              FIGURE                                                       1.7    Thermal oxidizer.
              FIGURE                                                       1.8    Side- (a) and top-fired (b) reformers (elevation view).
              FIGURE                                                       1.9    Downfired burner commonly used in top fired reformers.
              FIGURE                                                       1.10   Elevation view of a terrace firing furnace.
              FIGURE                                                       1.11   Schematic of a process heater.
              FIGURE                                                       1.12   Typical process heater.
              FIGURE                                                       1.13   Fixed heater size distribution.
              FIGURE                                                       1.14   Sketch (elevation view) of center or target wall firing configuration.
              FIGURE                                                       1.15   Horizontal floor-fired burners.
              FIGURE                                                       1.16   Wall fired burner (side view).
              FIGURE                                                       1.17   Sketch (elevation view) of a horizontally mounted, vertically fired burner configuration.
              FIGURE                                                       1.18   Examples of process heaters.
              FIGURE                                                       1.19   Typical heater types.
              FIGURE                                                       1.20   Cabin heater.
              FIGURE                                                       1.21   Crude unit burners.
              FIGURE                                                       1.22   Typical burner arrangements (elevation view).
              FIGURE                                                       1.23   Process heater heat balance. (From Philip Conisbee, Georges de La Tour and His World. National Gallery of Art,
                                                                                  Washington, D.C., 1996, 110. With permission.)
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                   FIGURE 1.24                                                    Burner (B) arrangement (plan view) in the floor of vertical cylindrical furnaces: (a) small-diameter furnace with a
                                                                                  single centered burner and (b) larger diameter furnace with four burners symmetrically arranged at a radius from the
                                                                                  center.
                   FIGURE 1.25                                                    Burner (B) arrangement (plan view) in the floor of rectangular cabin heaters: (a) single row of burners in a narrower
                                                                                  heater, (b) two rows of staggered burners in a slightly wider heater, and (c) two rows of aligned burners in an even
                                                                                  wider heater.
                   FIGURE                                                  1.26   Adiabatic equilibrium NO and CO as a function of the equivalence ratio for an air/CH4 flame.
                   FIGURE                                                  1.27   Typical combination oil and gas burner.
                   FIGURE                                                  1.28   Schematic of flue gas recirculation.
                   FIGURE                                                  1.29   Cartoon of a premixed burner.
                   FIGURE                                                  1.30   Typical premixed gas burner. (From API Publication 535: Burner for Fire Heaters in General Refinery Services, 1st
                                                                                  ed., American Petroleum Institute, Washington, D.C., July, 1995. With permission.)
                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   CHAPTER 2
                   FIGURE 2.1                                                     Typical cabin-style process heater.
                   FIGURE 2.2                                                     Species concentration vs. excess air for the following fuels: (a) CH4, (b) natural gas, (c) simulated refinery gas (25%
                                                                                  H2, 50% CH4, 25% C3H8), (d) C3H8, (e) No. 2 oil, and (f) No. 6 oil.
                   FIGURE                                                  2.2    (b) Natural gas
                   FIGURE                                                  2.2    (c) Simulated refinery gas (25% H2, 50% CH4, 25% C3H8).
                   FIGURE                                                  2.2    (d) Propane.
                   FIGURE                                                  2.2    (e) Fuel oil #2.
                   FIGURE                                                  2.2    (f) Fuel oil #6.
                   FIGURE                                                  2.3    Species concentration vs. stoichiometric ratio for the following fuels: (a) CH4, (b) natural gas, (c) simulated refinery
                                                                                  gas (25% H2, 50% CH4, 25% C3H8), (d) C3H8, (e) No. 2 oil, and (f) No. 6 oil.
                   FIGURE                                                  2.3    (b) Natural gas
                   FIGURE                                                  2.3    (c) Simulated refinery gas (25% H2, 50% CH4, 25% C3H8).
                   FIGURE                                                  2.3    (d) Propane.
                   FIGURE                                                  2.3    (e) Fuel oil #2.
                   FIGURE                                                  2.3    (f) Fuel oil #6.
                   FIGURE                                                  2.4    Adiabatic equilibrium reaction process.
                   FIGURE                                                  2.5    Adiabatic equilibrium calculations for the predicted gas composition as a function of the O2:CH4 stoichiometry for
                                                                                  air/CH4 flames, where the air and CH4 are at ambient temperature and pressure.
                   FIGURE 2.6                                                     Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the major species as a function
                                                                                  of the air preheat temperature for air/CH4 flames, where the CH4 is at ambient temperature and pressure.
                   FIGURE 2.7                                                     Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the minor species as a function
                                                                                  of the air preheat temperature for air/CH4 flames, where the CH4 is at ambient temperature and pressure.
                   FIGURE 2.8                                                     Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the major species as a function
                                                                                  of the fuel preheat temperature for air/CH4 flames, where the air is at ambient temperature and pressure.
                   FIGURE 2.9                                                     Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the minor species as a function
                                                                                  of the fuel preheat temperature for air/CH4 flames, where the air is at ambient temperature and pressure.
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              FIGURE 2.10                  Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the major species as a function
                                           of the fuel blend (H2 + CH4) composition for air/fuel flames, where the air and fuel are at ambient temperature and
                                           pressure.
              FIGURE 2.11                  Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the minor species as a function
                                           of the fuel blend (H2 + CH4) composition for air/fuel flames, where the air and fuel are at ambient temperature and
                                           pressure.
              FIGURE 2.12                  Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the major species as a function
                                           of the fuel blend (N2 + CH4) composition for air/fuel flames, where the air and fuel are at ambient temperature and
                                           pressure.
              FIGURE 2.13                  Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the minor species as a function
                                           of the fuel blend (N2 + CH4) composition for air/fuel flames, where the air and fuel are at ambient temperature and
                                           pressure.
              FIGURE 2.14                  Equilibrium calculations for the predicted gas composition of the major species as a function of the combustion
                                           product temperature for air/CH4 flames, where the air and fuel are at ambient temperature and pressure.
              FIGURE 2.15                  Equilibrium calculations for the predicted gas composition of the minor species as a function of the combustion
                                           product temperature for air/CH4 flames, where the air and fuel are at ambient temperature and pressure.
              FIGURE 2.16                  Adiabatic flame temperature vs. equivalence ratio for air/H2, air/CH4, and air/C3H8 flames, where the air and fuel are
                                           at ambient temperature and pressure.
              FIGURE 2.17                  Adiabatic flame temperature vs. air preheat temperature for stoichiometric air/H2, air/CH4, and air/C3H8 flames, where
                                           the air and fuel are at ambient temperature and pressure.
              FIGURE 2.18                  Adiabatic flame temperature vs. fuel preheat temperature for stoichiometric air/H2, air/CH4, and air/C3H8 flames,
                                           where the air is at ambient temperature and pressure.
              FIGURE 2.19                  Adiabatic flame temperature vs. fuel blend (CH4/H2 and CH4/N2) composition for stoichiometric air/fuel flames, where
                                           the air and fuel are at ambient temperature and pressure.
              FIGURE 2.20                  Adiabatic flame temperature vs. fuel blend (CH4/H2) composition and air preheat temperature for stoichiometric
                                           air/fuel flames, where the fuel is at ambient temperature and pressure.
              FIGURE 2.21                  Sample Sankey diagram showing distribution of energy in a combustion system.
              FIGURE 2.22                  Available heat vs. gas temperature for stoichiometric air/H2, air/CH4, and air/C3H8 flames, where the air and fuel are
                                           at ambient temperature and pressure.
              FIGURE 2.23                  Available heat vs. air preheat temperature for stoichiometric air/H2, air/CH4, and air/C3H8 flames at an exhaust gas
                                           temperature of 2000oF (1100oC), where the fuel is at ambient temperature and pressure.
              FIGURE 2.24                  Available heat vs. fuel preheat temperature for stoichiometric air/H2, air/CH4, and air/C3H8 flames at an exhaust gas
                                           temperature of 2000oF (1100oC), where the air is at ambient temperature and pressure.
              FIGURE 2.25                  Graphical representation of ignition and heat release.
              CHAPTER 3
              FIGURE 3.1                   A typical fired heater.
              FIGURE 3.2                   Heat transfer through a plane wall: (a) temperature distribution, and (b) equivalent thermal circuit.
              FIGURE 3.3                   Equivalent thermal circuit for a series composite wall.
              FIGURE 3.4                   Temperature drop due to thermal contact resistance.
              FIGURE 3.5                   Temperature distribution for a composite cylindrical wall.
              FIGURE 3.6                   Transient conduction through a solid.
              FIGURE 3.7                   Thermal conductivity of (a) some commonly used steels and alloys and (b) some refractory materials.
              FIGURE 3.8                   Temperature-thickness relationships corresponding to different thermal conductivities.
              FIGURE 3.9                   Thermal boundary layer development in a heated circular tube.
              FIGURE 3.10                  Orthogonal oscillations of electric and magnetic waves in the oscillations in electromagnetic waves.
              FIGURE 3.11                  Spectrum of electromagnetic radiation.
              FIGURE 3.12                  Spectral blackbody emissive power.
              FIGURE 3.13                  Radiation transfer between two surfaces approximated as blackbodies.
              FIGURE 3.14                  Network representation of radiative exchange between surface i and the remaining surfaces of an enclosure.
              FIGURE 3.15                  View factor of radiation exchange between faces of area dAi and dAj.
              FIGURE 3.16                  View factor for aligned parallel rectangles.
              FIGURE 3.17                  View factor for coaxial parallel disks.
                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE                                                   3.18   View factor for perpendicular rectangles with a common edge.
                   FIGURE                                                   3.19   Infrared thermal image of a flame in a furnace.
                   FIGURE                                                   3.20   Emission bands of (a) CO2 and (b) H2O.
                   FIGURE                                                   3.21   Emissivity of water vapor in a mixture with nonradiating gases at 1-atm total pressure and of hemispherical shape.
                   FIGURE                                                   3.22   Emissivity of carbon dioxide in a mixture with nonradiating gases at 1-atm total pressure and of hemispherical shape.
                   FIGURE                                                   3.23   Radiation heat transfer correction factor for mixtures of water vapor and carbon dioxide.
                   FIGURE                                                   3.24   Photographic view of a luminous flame.
                   FIGURE                                                   3.25   Photographic view of a nonluminous flame.
                   FIGURE                                                   3.26   Photographic view of a radiant wall burner.
                   FIGURE                                                   3.27   Vertical heat flux distribution for oil and gas firing in a vertical tube furnace.
                   FIGURE                                                   3.28   Distribution of dimensionless average radiant flux density at the tube surfaces for various flame lengths (Lf= flame
                                                                                   length, L = heater height, Z = height).
                   CHAPTER 4
                   FIGURE 4.1                                                      Variation in measured density with length scale.
                   FIGURE 4.2                                                      Velocity profile of a fluid flowing along a solid surface.
                   FIGURE 4.3                                                      Absolute viscosity vs. temperature for various fluids.
                   FIGURE 4.4                                                      Temperature vs. viscosity for various hydrocarbons. (Courtesy of J.B. Maxwell, Data Book on Hydrocarbons, D.
                                                                                   Van Nostrand, Princeton, NJ, 1950, 174.)
                   FIGURE 4.5                                                      Viscosity of mid-continent oils. (Courtesy of J.B. Maxwell, Data Book on Hydrocarbons, D. Van Nostrand, Princeton,
                                                                                   NJ, 1950, 164.)
                   FIGURE 4.6                                                      Compressibility factor Z as a function of reduced pressure and reduced temperature for different gases.
                   FIGURE 4.7                                                      U-tube manometer.
                   FIGURE 4.8                                                      Inclined manometer .
                   FIGURE 4.9                                                      Helium balloon attached to the ground.
                   FIGURE 4.10                                                     A small packet of fluid from point A to B along an arbitrary path.
                   FIGURE 4.11                                                     Pressure relief vessel venting to a flare.
                   FIGURE 4.12                                                     An idealization of a small “differential” control volume.
                   FIGURE 4.13                                                     Mass flow into and out of a volume in the X-direction.
                   FIGURE 4.14                                                     Gravitational body force.
                   FIGURE 4.15                                                     Normal or pressure forces.
                   FIGURE 4.16                                                     Effect of shear stress on X-direction face.
                   FIGURE 4.17                                                     Smoke from incense. (Courtesy of The Visualization Society of Japan, Fantasy of Flow, Tokyo, 1993, 93.)
                   FIGURE 4.18                                                     Water exiting a faucet at low velocity. (Courtesy of The Visualization Society of Japan, Fantasy of Flow, Tokyo, 1993, 97.)
                   FIGURE 4.19                                                     Leonardo daVinci's view of turbulence.
                   FIGURE 4.20                                                     Osborn Reynolds’ experimental apparatus used to study the transition from laminar to turbulent flow.
                   FIGURE 4.21                                                     Water from faucet showing transition. (Courtesy of The Visualization Society of Japan, Fantasy of Flow, Tokyo, 1993, 97.)
                   FIGURE 4.22                                                     Wake area showing mixing vortices. (Courtesy of The Visualization Society of Japan, Fantasy of Flow, Tokyo, 1993, 3.)
                   FIGURE 4.23                                                     Laminar flow of smoke over a rectangular obstruction. (Courtesy of M. Van Dyke, An Album of Fluid Motion, The
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              CHAPTER 5
              FIGURE 5.1                   Simplified process flow diagram for hydrogen reforming/pressure swing absorption. (From R.A. Meyers, Handbook
                                           of Petroleum Refining Processes, 2nd ed., McGraw-Hill, New York, 1997, p. 6.27. With permission.)
              FIGURE 5.2                   Simplified process flow diagram for flexicoking. (From R.A. Meyers, Handbook of Petroleum Refining Processes, 2nd
                                           ed., McGraw-Hill, New York, 1997, p. 12.5. With permission.)
              FIGURE 5.3                   100% Tulsa natural gas flame.
              FIGURE 5.4                   90% Tulsa natural gas/10% nitrogen flame.
              FIGURE 5.5                   80% Tulsa natural gas/20% nitrogen flame. (From R.A. Meyers, Handbook of Petroleum Refining Processes, 2nd ed.,
                                           McGraw-Hill, New York, 1997, p. 12.11. With permission.)
              FIGURE           5.6         90% Tulsa natural gas/10% hydrogen flame.
              FIGURE           5.7         75% Tulsa natural gas/25% hydrogen flame.
              FIGURE           5.8         50% Tulsa natural gas/50% hydrogen flame.
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE           5.9         25% Tulsa natural gas/75% hydrogen flame.
              FIGURE           5.10        100% hydrogen flame.
              FIGURE           5.11        50% Tulsa natural gas/25% hydrogen/25% C3H8 flame.
              FIGURE           5.12        50% Tulsa natural gas/50% C3H8 flame.
              FIGURE           5.13        100% C3H8 flame.
              FIGURE           5.14        100% C4H10 flame.
              FIGURE           5.15        Simulated cracked gas flame.
              FIGURE           5.16        Simulated coking gas flame.
              FIGURE           5.17        Simulated FCC gas flame.
              FIGURE           5.18        Simulated refoming gas flame.
              FIGURE           5.19        100% Tulsa natural gas flame.
              FIGURE           5.20        100% hydrogen.
              FIGURE           5.21        100% propane.
              FIGURE           5.22        50% hydrogen 50% Propane.
              FIGURE           5.23        50% hydrogen 50% Tulsa natural gas.
              FIGURE           5.24        50% propane 50% Tulsa natural gas.
              FIGURE           5.25        25% hydrogen 75% Propane.
              FIGURE           5.26        75% hydrogen 25% Propane.
              FIGURE           5.27        25% hydrogen 75% Tulsa natural gas.
              FIGURE           5.28        75% hydrogen 25% Tulsa natural gas.
              FIGURE           5.29        25% propane 75% Tulsa natural gas.
              FIGURE           5.30        75% propane 25% Tulsa natural gas.
              FIGURE           5.31        25% hydrogen 25% propane 50% Tulsa natural gas.
              FIGURE           5.32        25% hydrogen 50% propane 25% Tulsa natural gas.
              FIGURE           5.33        50% hydrogen 25% propane 25% Tulsa natural gas.
              FIGURE           5.34        Viewing oil flame through burner plenum.
              FIGURE           5.35        Oil derrick, circa 1900.
              FIGURE           5.36        Capping a burning oil well.
              FIGURE           5.37        Refinery flow diagram.
              FIGURE           5.38        Flow diagram of UOP fluid catalytic cracking complex.
              FIGURE           5.39        Burner firing heavy oil (1).
              FIGURE           5.40        Burner firing heavy oil (2).
              FIGURE           5.41        Naphtha distillation curve.
              FIGURE           5.42        Crude oil distillation curve.
              FIGURE           5.43        Viscosity of fuel oils.
              CHAPTER 6
              FIGURE 6.1                   Cartoon of NO exiting a stack and combining with O2 to form NO2.
              FIGURE 6.2                   Cartoon of acid rain.
              FIGURE 6.3                   Cartoon of photochemical smog formation.
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                                                                           for Tulsa natural gas/H2/C3H8 blends combusted with 15% excess air where both the fuel and the air are at ambient
                                                                           temperature and pressure for gas tip #2.
                                                     FIGURE 6.23           Measured NOx (fraction of the maximum value in both ppmv and lb/MMBtu) as a function of the fuel blend composition
                                                                           for Tulsa natural gas/H2/C3H8 blends combusted with 15% excess air where both the fuel and the air are at ambient
                                                                           temperature and pressure for gas tip #4.
                                                     FIGURE 6.24           Measured NOx (fraction of the maximum value in both ppmv and lb/MMBtu) as a function of the fuel blend composition
                                                                           for Tulsa natural gas/H2/C3H8 blends combusted with 15% excess air where both the fuel and the air are at ambient
                                                                           temperature and pressure for gas tip #6.
                                                     FIGURE 6.25           Measured NOx (fraction of the maximum value in both ppmv and lb/MMBtu) as a function of the fuel blend
                                                                           composition for Tulsa natural gas/H2/C3H8 blends combusted with 15% excess air where both the fuel and the air are
                                                                           at ambient temperature and pressure for a constant fuel gas pressure of 21 psig.
                                                     FIGURE 6.26           Measured NOx (fraction of the maximum value in ppmvd) as a function of the fuel pressure for all 15 different Tulsa
                                                                           natural gas/H2/C3H8 blends (A through O) combusted with 15% excess air where both the fuel and the air are at
                                                                           ambient temperature and pressure.
                                                     FIGURE 6.27           Measured NOx (fraction of the maximum value in both ppmv and lb/MMBtu) as a function of the fuel blend
                                                                           composition, fuel gas pressure, and calculated adiabatic flame temperature for for Tulsa natural gas/H2/C3H8 blends
                                                                           combusted with 15% excess air where both the fuel and the air are at ambient temperature and pressure.
                                                     FIGURE         6.28   Adiabatic equilibrium CO as a function of equivalence ratio for air/fuel flames.
                                                     FIGURE         6.29   Adiabatic equilibrium CO as a function of gas temperature for stoichiometric air/fuel flames.
                                                     FIGURE         6.30   Adiabatic equilibrium CO as a function of air preheat temperature for stoichiometric air/fuel flames.
                                                     FIGURE         6.31   Adiabatic equilibrium CO as a function of fuel preheat temperature for stoichiometric air/CH4 flames.
                                                     FIGURE         6.32   Adiabatic equilibrium CO as a function of fuel composition (CH4/H2) for a stoichiometric air/fuel flame.
                                                     FIGURE         6.33   Adiabatic equilibrium CO as a function of fuel composition (CH4/N2) for a stoichiometric air/fuel flame.
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              CHAPTER 7
              FIGURE 7.1                                                   Pressure peaks and troughs.
              FIGURE 7.2                                                   Cross-section of the human ear.
              FIGURE 7.3                                                   Relationship of decibels to watts.
              FIGURE 7.4                                                   Sound pressure level at a distance r.
              FIGURE 7.5                                                   Threshold of hearing in humans.
              FIGURE 7.6                                                   Threshold of hearing and threshold of pain in humans.
              FIGURE 7.7                                                   A-weighted scale for human hearing threshold.
              FIGURE 7.8                                                   A-weighted burner noise curve.
              FIGURE 7.9                                                   Weighting curves A, B, C, and D.
              FIGURE 7.10                                                  Block diagram of a sound level meter.
              FIGURE 7.11                                                  Same sound spectrum on three different intervals.
              FIGURE 7.12                                                  Typical burner noise curve.
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              CHAPTER 8
              FIGURE 8.1                                                   A typical eductor system.
              FIGURE 8.2                                                   Example eductor system.
              FIGURE 8.3                                                   Experimental apparatus that has been successfully used to determine the flow coefficients and eduction performance
                                                                           of various flare and burner eduction processes.
              FIGURE 8.4                                                   First and second generation steam flares.
              FIGURE 8.5                                                   Typical third generation steam flare tube layout.
              FIGURE 8.6                                                   Normalized plot showing the sonic-supersonic eduction performance in a single steam tube used in a typical steam-
                                                                           assisted flare.
              FIGURE 8.7                                                   Normalized eduction performance of a flare pilot operating on Tulsa natural gas with two different motive gas orifice
                                                                           diameters.
              FIGURE 8.8                                                   Experimental and theoretical results of the eduction performance of a particular radiant wall burner firing with two
                                                                           different orifice sizes and fuel gas compositions.
              FIGURE                                                8.9    Simplified reactor modeling of a staged fuel burner.
              FIGURE                                                8.10   Picture of a radiant wall burner.
              FIGURE                                                8.11   Picture of a thermal oxidizer.
              FIGURE                                                8.12   Sample results of simplified modeling for a premixed burner.
              FIGURE                                                8.13   Sample results of simplified modeling for a thermal oxidizer.
              FIGURE                                                8.14   Capacity curves that many burner manufactures use for sizing burners.
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                   FIGURE 8.15                                             Burner designs typically consist of a muffler, damper, plenum, throat, and tile section.
                   FIGURE 8.16                                             Cold flow furnace of a test chamber (8 x 8 x 8) supported on legs approximately 7 feet above the ground.
                   FIGURE 8.17                                             Smoking and non-smoking flares.
                   FIGURE 8.18                                             Flame of a flare is divided into two parts: 1) the main body of the flame, and 2) the region near the tip.
                   FIGURE 8.19                                             Illustration showing the experimental setup utilized to obtain calibration and validation data.
                   FIGURE 8.20                                             Prediction of diluent flow for smokeless operation (a) Propylene (b) Propane.
                   FIGURE 8.21                                             Figure 8.20 with data points added (a) Propylene (b) Propane.
                   FIGURE 8.22                                             Steam-to-hydrocarbon ratios (per Leite).
                   FIGURE 8.23                                             Steam-to-hydrocarbon (large diameter flares).
                   FIGURE 8.24                                             One smokeless steam flare.
                   FIGURE 8.25                                             Typical air flare.
                   FIGURE 8.26                                             Effect of high velocity air: (a) blower off, (b) commence blower, and (c) blower on.
                   FIGURE 8.27                                             Aeration rate was determined and plotted against the scaling function.
                   FIGURE 8.28                                             Annular air-assisted flare (190,000 lb/hr propane).
                   FIGURE 8.29                                             Comparison of three different air flares to prediction.
                   FIGURE 8.30                                             Typical process heater oil flame.
                   FIGURE 8.31                                             Standard John Zink oil gun.
                   FIGURE 8.32                                             Schematic of a typical oil gun.
                   FIGURE 8.33                                             Comparison of predicted vs. actual oil and steam flow rates.
                   FIGURE 8.34                                             John Zink Co. LLC. (Tulsa, OK) Spray Research Laboratory.
                   FIGURE 8.35                                             Droplet size comparison between a standard and a newer oil gun.
                   FIGURE 8.36                                             High-efficiency new oil gun.
                   FIGURE 8.37                                             Heat transfer in a packed bed between the ceramic material and the air stream.
                   FIGURE 8.38                                             Installing small, type K thermocouple pairs into numerous ceramic saddles.
                   FIGURE 8.39                                             Summary of saddle data.
                   FIGURE 8.40                                             Rock temp distribution with time.
                   FIGURE 8.41                                             John Zink RTO test unit.
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   CHAPTER 9
                   FIGURE                                            9.1   Elements in CFD modeling.
                   FIGURE                                            9.2   Plot of the β-pdf for several values of <f> and <f ’2> .
                   FIGURE                                            9.3   Point measurement of scalar in a turbulent flow.
                   FIGURE                                            9.4   Rendered view of a CFD model of a John Zink Co. burner. This view illustrates the complex geometry that necessitates
                                                                           a variety of cell types. This mesh consists of hexahedral, pyramidal, and tetrahedral cell types.
                   FIGURE 9.5                                              Close-up view of primary tip. This view reveals the five fuel jets (indicated by the arrows on the image) issuing from
                                                                           the primary tip.
                   FIGURE 9.6                                              Rendered view inside an ethylene pyrolysis furnace showing flow patterns near the premixed radiant wall burners.
                   FIGURE 9.7                                              CFD model of an ethylene pyrolysis furnace. There are six burners shown in each row at the bottom of the furnace,
                                                                           and the tubes are approximately 35 feet long. The endwalls are not shown in this image.
                   FIGURE 9.8                                              Plot showing heat flux to the process tubes in the modeled ethylene furnace as a function of height above the furnace
                                                                           floor.
                   FIGURE 9.9                                              Geometry of a xylene reboiler. This view shows half (sliced vertically) of the furnace. Only three of the six burners
                                                                           are shown at the bottom of the image.
                   FIGURE 9.10                                             This view shows half of the furnace with unmodified burners. The “blob” in the furnace is the 50-ppm OH mole
                                                                           fraction iso-surface. This surface is colored according to its temperature (oF)
                   FIGURE 9.11                                             This view shows half of the furnace with modified burners firing. The 50-ppm OH mole fraction iso-surface is shown
                                                                           as an indicator of the flame shape. This surface is colored according to its temperature (oF)
                   FIGURE 9.12                                             Exterior geometry of the furnace is included in the model. The surface mesh is also shown.
                   FIGURE 9.13                                             Burner geometry. The acid swirl vanes are shown in red; the air swirl vanes are shown in green; and the start-up
                                                                           fuel tip is shown in purple.
                   FIGURE 9.14                                             Oxygen mass fractions viewed from above the furnace. The contour scale is logarithmic. The mass fractions are
                                                                           contoured on the mid-plane of the furnace.
                   FIGURE 9.15                                             H2S mole fractions contoured on the midplane of the furnace.
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     2337-FM-Frame Page xxiv Thursday, April 7, 2005 4:00 PM
              FIGURE 9.16                  Stoichiometric iso-surface colored by temperature (oC) for the initial burner design.
              FIGURE 9.17                  Stoichiometric iso-surface colored by temperature (oC) for the final burner design.
              FIGURE 9.18                  Midplane of geometry colored by temperature (oC). This view shows the burner quarl and the mixing regions of acid
                                           gas and air.
              FIGURE 9.19                  Temperature profiles (oC) exiting the reaction furnace for the initial (left) and final (right) burner geometries.
              FIGURE 9.20                  Geometric information describing the thermal oxidizer examined during this study.
              FIGURE 9.21                  Predicted centerline profiles for excess air case: (a) axial velocity (m/s), and (b) gas temperature (K) for the furnace
                                           section of the thermal oxidizer shown in Figure 9.20. Two distinct combustion zones are illustrated, with an exit
                                           temperature of about 1600 K (2400oF).
              FIGURE 9.22                  Predicted centerline profiles for excess air case: (a) methane concentration (ppmv), and (b) carbon monoxide
                                           concentration (ppmv) for the furnace section of the thermal oxidizer shown in Figure 9.20. These predictions depict
                                           the CO formation and oxidation zones common to most combustion processes.
              FIGURE 9.23                  Predicted centerline profiles for excess air case: (a) HCl concentration (ppmv), and (b) Cl2 concentration (ppmv) for
                                           the furnace section of the thermal oxidizer shown in Figure 9.20. The predicted maximum Cl2 concentration, nearly
                                           3200 ppmv, occurs in the cooler reactor regions, while an exit Cl2 concentration of about 100 ppmv is predicted.
              FIGURE 9.24                  Predicted centerline profiles for the stoichiometric case: (a) axial velocity (m/s), and (b) gas temperature (K) for the
                                           furnace section of the thermal oxidizer shown in Figure 9.20. A single combustion zone is indicated, with the local
                                           maximum temperature of 1450 K (2150oF) and an exit temperature of about 1350 K (1970oF)
              FIGURE 9.25                  Predicted centerline profiles for the stoichiometric case: (a) methane concentration (ppmv), and (b) carbon monoxide
                                           concentration (ppmv) for the furnace section of the thermal oxidizer shown in Figure 9.20. Here, the post-flame CO
                                           oxidation zone, shown in the first prediction, is not present; this results in a predicted exit CO concentration of 9000 ppmv.
              FIGURE 9.26                  Predicted centerline profiles for the stoichiometric case: (a) HCl concentration (ppmv), and (b) Cl2 concentration
                                           (ppmv) for the furnace section of the thermal oxidizer shown in Figure 9.20. Dramatically less Cl2 formation is
                                           predicted (local maximum of 7 ppmv and exit concentrations less than 1 ppmv) in this case due to excess H+ radical
                                           present from the increased fuel gas.
              FIGURE 9.27                  Entrainment of flue gas.
              FIGURE 9.28                  Re-circulation region in the eductor throat.
              FIGURE 9.29                  Re-circulation zone starting to occur in eductor throat.
              FIGURE 9.30                  Re-circulation zone developing in eductor throat.
              FIGURE 9.31                  Contours of stream function with increasing backpressure.
              CHAPTER 10
              FIGURE 10.1                  Fire tetrahedron.
              FIGURE 10.2                  Tube rupture in a fired heater. (Courtesy of R.E. Sanders, Chemical Process Safety: Learning from Case Histories,
                                           Butterworth–Heinemann, Woburn, MA, 1999.)
              FIGURE 10.3                  Trapped steam in a dead-end that can freeze and cause pipe failure.
              FIGURE 10.4                  CO detector: (a) permanent, (b) portable.
              FIGURE 10.5                  Flarestack explosion due to improper purging. (Courtesy of T. Kletz, What Went Wrong: Case Histories of Process
                                           Plant Disasters, 4th ed., Gulf Publishing, Houston, TX, 1998.)
              FIGURE 10.6                  Vapor pressures for light hydrocarbons. (Courtesy of M.G. Zabetakis, AIChE-Inst. Chem. Engr. Symp., Ser. 2, Chem.
                                           Engr. Extreme Cond. Proc. Symp. American Institute of Chemical Engineers, New York, 1965, 99–104.)
              FIGURE 10.7                  Ethylene oxide plant explosion caused by autoignition. (Courtesy of T. Kletz, What Went Wrong: Case Histories of
                                           Process Plant Disasters, 4th ed., Gulf Publishing, Houston, TX, 1998.)
              FIGURE 10.8                  Safety documentation feedback flow chart. (Courtesy of GPSA Engineering Data Book, Vol. II, 10th ed., Gas
                                           Processors and Suppliers Association, Tulsa, OK, 1994.)
              FIGURE 10.9                  Refinery damaged due to improper maintenance procedures. (Courtesy of R.E. Sanders, Chemical Process Safety:
                                           Learning from Case Histories, Butterworth–Heinemann, Woburn, MA, 1999.)
              CHAPTER 11
              FIGURE           11.1        Graph of sustainable combustion for methane.
              FIGURE           11.2        Typical raw gas burner tips.
              FIGURE           11.3        Typical premix metering orifice spud and air mixer assembly.
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   CHAPTER 12
                   FIGURE 12.1 Programmable logic controller.
                   FIGURE 12.2 Touch screen.
                   FIGURE 12.3 Simplified flow diagram of a standard burner light-off sequence.
                   FIGURE 12.4 Simple analog loop.
                   FIGURE 12.5 Feedforward loop.
                   FIGURE 12.6 Double-block-and-bleed system.
                   FIGURE 12.7 Failsafe input to programmable logic controller.
                   FIGURE 12.8 Shutdown string.
                   FIGURE 12.9 Typical pipe rack.
                   FIGURE 12.10a Large control panel.
                   FIGURE 12.10b Small control panel.
                   FIGURE 12.11 Inside the control panel.
                   FIGURE 12.12a Pressure switch.
                   FIGURE 12.12b Pressure switch.
                   FIGURE 12.13 Pneumatic control valve.
                   FIGURE 12.14 Control valve characteristics.
                   FIGURE 12.15 Thermocouple.
                   FIGURE 12.16 Thermowell and thermocouple.
                   FIGURE 12.17 Velocity thermocouple.
                   FIGURE 12.18 Pressure transmitter (left) and pressure gauge (right).
                                                                                                                                                                                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 12.19 Mechanically linked parallel positioning.
                   FIGURE 12.20 Electronically linked parallel positioning.
                   FIGURE 12.21 A variation of parallel positioning.
                   FIGURE 12.22 Fuel flow rate vs. control signal.
                   FIGURE 12.23 Typical butterfly-type valve calculation.
                   FIGURE 12.24 The required shape of the air valve characterizer.
                   FIGURE 12.25 Fully metered control scheme.
                   FIGURE 12.26 Fully metered control scheme with cross limiting.
                   FIGURE 12.27 O2 trim of air flow rate.
                   FIGURE 12.28 O2 trim of air setpoint.
                   FIGURE 12.29 Multiple fuels and O2 sources.
                   FIGURE 12.30 Controller.
                   FIGURE 12.31 Analog controller with manual reset.
                   FIGURE 12.32 Analog controller with automatic reset.
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              CHAPTER 13
              FIGURE                                                13.1    Contrast of classical experimentation and SED methods.
              FIGURE                                                13.2    NOx contours for furnace temperature and oxygen concentration based on Equation 13.1.
              FIGURE                                                13.3    A fuel-staged burner.
              FIGURE                                                13.4    Municipal solid waste boiler using ammonia injection to control NOx.
              FIGURE                                                13.5    Method of steepest ascent.
              FIGURE                                                13.6    A combination burner capable of firing either oil or gas or both simultaneously.
              FIGURE                                                13.7    Simplex design for q = 3.
              FIGURE                                                13.8    Mixture factors, a transformation, and a combined mixture-factorial.
              FIGURE                                                13.9    Flowchart showing a general sequential experimental strategy.
              FIGURE                                                13.10   Some orthogonal designs for f = 3 arranged in a sequential strategy.
              CHAPTER 14
              FIGURE                                                14.1    John Zink Co., LLC, Research and Development Test Center, Tulsa, Oklahoma
              FIGURE                                                14.2    Test furnace for simulation of ethylene furnace.
              FIGURE                                                14.3    Test furnace for simulation of down-fired tests.
              FIGURE                                                14.4    Test furnace for simulation of up-fired tests.
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              CHAPTER 15
              FIGURE                                                15.1    Heater cutout and burner bolt circle on a new heater.
              FIGURE                                                15.2    Warped steel on the shell of a heater.
              FIGURE                                                15.3    Burner improperly installed at an angle due to a warped shell.
              FIGURE                                                15.4    Donut ring for leveling burner mounting onto the warped shell of a heater.
              FIGURE                                                15.5    Typical burner drawing.
              FIGURE                                                15.6    Burner mounted on the floor of a heater.
              FIGURE                                                15.7    Burner mounted on the side of a heater.
              FIGURE                                                15.8    Burner mounted on the top of heater.
              FIGURE                                                15.9    Burner mounted in a common plenum.
              FIGURE                                                15.10   Burner in a plenum box mounted to a heater.
              FIGURE                                                15.11   Piping improperly loaded on the burner inlet.
              FIGURE                                                15.12   Picture of a burner tile showing multiple tile pieces.
              FIGURE                                                15.13   Sketch showing a round tile measured in 3 different diameters.
              FIGURE                                                15.14   Sketch showing a square tile measured at different lengths and widths.
              FIGURE                                                15.15   Oil tip in combination burner showing oil tip locations.
              FIGURE                                                15.16   Welding rods in an oil tip.
              FIGURE                                                15.17   VYD burner gas tip in a diffuser with a pilot.
              FIGURE                                                15.18   VYD drawing showing the diffuser cone and the pilot tip.
              FIGURE                                                15.19   Example of an air register.
              FIGURE                                                15.20   Typical fuel gas piping system.
              FIGURE                                                15.21   Typical heavy fuel oil piping system.
              FIGURE                                                15.22   Typical light fuel oil piping system.
              FIGURE                                                15.23   A pat-826 gas tip.
              FIGURE                                                15.24   Example oil gun atomizer.
              FIGURE                                                15.25   Catatlyst deposit within an oil burner tile.
              FIGURE                                                15.26   Typical diffuser cone.
              FIGURE                                                15.27   Typical spin diffuser.
              FIGURE                                                15.28   Example of a damaged stabilizer.
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                     CHAPTER 16
                     FIGURE 16.1                            Typical draft measurement points.
                     FIGURE 16.2                            Inclined manometer.
                     FIGURE 16.3                            Excess air indication by oxygen content.
                     FIGURE 16.4                            Location for measuring excess oxygen.
                     FIGURE 16.5                            Oxygen analyzer.
                     FIGURE 16.6                            Cost of operating with higher excess oxygen levels (natural gas).
                     FIGURE 16.7                            Cost of operating with higher excess oxygen levels (#6 oil).
                     FIGURE 16.8                            Fuel gas pressure measurement.
                     FIGURE 16.9                            Graph of fuel pressure vs. heat release.
                     FIGURE 16.10                           Viscosity vs temperature for a range of hydrocarbons.
                     FIGURE 16.11                           Velocity thermocouple.
                     FIGURE 16.12                           Air control device schematic.
                     FIGURE 16.13                           Picture of air control device.
                     FIGURE 16.14                           Primary air door.
                     FIGURE 16.15                           Burner ignition ledge.
                     FIGURE 16.16                           Gas tips.
                     FIGURE 16.17                           Oil tips.
                     FIGURE 16.18                           Long narrow and short bushy flames.
                     FIGURE 16.19                           Typical flame envelope with x-y-z axes.
                     FIGURE 16.20                           Sodium ions in the flame.
                     FIGURE 16.21                           Example of a good flame within the firebox.
                     FIGURE 16.22                           Example of a very bad flame pattern in a fire box.
                     FIGURE 16.23                           Typical draft profile in a natural draft heater.
                     FIGURE 16.24                           Logic diagram for tuning a natural draft heater.
                     FIGURE 16.25                           Logic diagram for tuning a balanced draft heater.
                     FIGURE 16.26                           Unstable flame.
                     FIGURE 16.27                           Broken burner tile.
                     FIGURE 16.28                           Dark line or black streaks on hot refractory surface indicating air leaks.
                     CHAPTER 17
                     FIGURE 17.1                            Coke deposit causes tube thinning.
                     FIGURE 17.2                            Cracked gas tip causing an irregular flame pattern.
                     FIGURE 17.3                            Damaged diffuser cone.
                     FIGURE 17.4                            Effect of excess O2 on NOx in raw gas burners.
                     FIGURE 17.5                            Effect of combustion air temperature on NOx.
                     FIGURE 17.6                            Effect of firebox temperature on NOx.
                     FIGURE 17.7                            Effect of bound nitrogen in the liquid fuel on NOx.
                     FIGURE 17.8                            Effect of burner model on NOx.
                     FIGURE 17.9                            Staged air burner.
                     FIGURE 17.10                           Staged fuel burner.
                     FIGURE 17.11                           Ultra low NOx burner.
                     CHAPTER 18
                     FIGURE 18.1
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                                                            Typical plant schematic.
                     FIGURE 18.2                            Cogeneration at Teesside, England. Courtesy of Nooter/Eriksen. St. Louis, MO. With permission.
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                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 18.3                  Combination (oil and gas) fire duct burners at Dahbol, India. (Courtesy of Ms. Martha Butala, Dabhol Power Company,
                                           Bombay, India, as published in Power Magazine.)
              FIGURE           18.4        Typical location of duct burners in an HRSG. (Courtesy of Deltak, Minneapolis, MN. With permission.)
              FIGURE           18.5        Schematic of HRSG at Teesside, England. (Courtesy of Nooter/Eriksen, St. Louis, MO. With permission.)
              FIGURE           18.6        Fluidized bed startup duct burner.
              FIGURE           18.7        An inline burner.
              FIGURE           18.8        Linear burner elements.
              FIGURE           18.9        Gas flame from a grid burner.
              FIGURE           18.10       Oil flame from a side-fired oil gun.
              FIGURE           18.11       Approximate requirement for augmenting air.
              FIGURE           18.12       Duct burner arrangement.
              FIGURE           18.13       Comparison of flow variation with and without straightening device.
              FIGURE           18.14       Physical model of burner.
              FIGURE           18.15       Sample result of CFD modeling performed on an HRSG inlet duct.
              FIGURE           18.16       Drilled pipe duct burner.
              FIGURE           18.17       Low emission duct burner.
              FIGURE           18.18       Flow patterns around flame stabilizer.
              FIGURE           18.19       Effect of conditions on CO formation.
              FIGURE           18.20       Typical main gas fuel train: single element or multiple elements firing simultaneously.
              FIGURE           18.21       Typical main gas fuel train: multiple elements with individual firing capability.
              FIGURE           18.22       Typical pilot gas train: single element or multiple elements firing simultaneously.
              FIGURE           18.23       Typical pilot gas train: multiple elements with individual firing capability.
              FIGURE           18.24       Typical main oil fuel train: single element.
              FIGURE           18.25       Typical main oil fuel train: multiple elements.
              FIGURE           18.26       Typical pilot oil train: single element.
              FIGURE           18.27       Typical pilot oil train: multiple elements.
              CHAPTER 19
              FIGURE           19.1        Typical utility boilers. (Courtesy of Florida Power & Light.)
              FIGURE           19.2        Typical single-burner industrial boiler. (Courtesy of North Carolina Baptist Hospital.)
              FIGURE           19.3        Swirl burner.
              FIGURE           19.4        Average flame length as a function of burner heat input.
              FIGURE           19.5        A typical low-NOx burner, venturi-style.
              FIGURE           19.6        A typical low-NOx burner, a venturi-style (second example).
              FIGURE           19.7        A strong flame front established within a maximum of 0.5 diffuser diameters of the face of the diffuser.
              FIGURE           19.8        The effects of boiler design on NOx.
              FIGURE           19.9        The NOx of various boilers included in the database on oil and gas, respectively.
              FIGURE           19.10       NOx generation for natural gas and No. 6 oil (0.5% Nf) vs. adiabatic flame temperature.
              FIGURE           19.11       NOx vs. excess O2 with FGR implementation.
              FIGURE           19.12       NOx vs. excess O2 (The TFM-94 boiler equipped with nine boilers, at ~94% load).
              FIGURE           19.13       NOx vs. relative steam flow at the TGM-94 boilers (natural gas, O2 = 1.2–1.6%).
              FIGURE           19.14       NOx vs. relative steam flow at the TGM-94 boilers (No. 6 oil, O2 = 1.2–1.6%).
              FIGURE           19.15       NOx vs. relative steam flow with firing natural gas on the TGME-206 boiler equipped with Todd Combustion low-
                                           NOx Dynaswirl burners at O2 = 0.8–1.0%.
              FIGURE 19.16                 NOx vs. load with firing natural gas on utility burners.
              FIGURE 19.17                 Degree of the power function NOx = f (load) vs. bounded nitrogen in No. 6 oil.
              FIGURE 19.18                 Relative NOx vs. relative load on industrial boilers firing natural gas and No. 6 oil with ambient air.
              FIGURE 19.19                 Relative NOx vs. relative load on industrial boilers firing natural gas and No. 6 oil with preheated air.
              FIGURE 19.20                 Effect of furnace cleanliness on NOx emissions.
              FIGURE 19.21                 Effect of HRA cleanliness on NOx emissions.
              FIGURE 19.22                 Effect of air in-leakage on the burner performance.
              FIGURE 19.23                 Improvement of mass flow distribution to burners (differences within ±2%).
              FIGURE 19.24                 Improvement of peripheral air flow distribution to burners (deviations ±10%)
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                                                                  CHAPTER 20
                                                                  FIGURE 20.1      Typical early 1950s flare performance.
                                                                  FIGURE 20.2      First successful smokeless flare.
                                                                  FIGURE 20.3      Major flaring event.
                                                                  FIGURE 20.4      Typical elevated single point flare.
                                                                  FIGURE 20.5      Typical pit flare installation.
                                                                  FIGURE 20.6      A grade-mounted, multi-point LRGO flare system.
                                                                  FIGURE 20.7      Elevated multi-point LRGO flare system.
                                                                  FIGURE 20.8      Multiple ZTOF installation in an ethylene plant.
                                                                  FIGURE 20.9      Combination ZTOF and elevated flare system.
                                                                  FIGURE 20.10     Comparison of the flame produced by burning (a) 25 MW well head natural gas, (b) propane, and (c) propylene.
                                                                  FIGURE 20.11     Combination elevated LRGO and utility flare system.
                                                                  FIGURE 20.12     General arrangement of a staged flare system, including a ZTOF and an elevated flare.
                                                                  FIGURE 20.13     John Zink Co. test facility in Tulsa, Oklahoma.
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              FIGURE 20.14 Liquid carryover from an elevated flare. (a) Start of flaring event. (b) Liquid fallout and flaming rain from flare
                           flame. (c) Flaming liquid engulfs flare stack.
              FIGURE 20.15 Thermogram of a flare flame.
              FIGURE 20.16 API radiation geometry.
              FIGURE 20.17 Comparison of stack height and relative cost for various radiation calculation methods.
              FIGURE 20.18 Effectiveness of steam in smoke suppression.
              FIGURE 20.19 Effectiveness of air in smoke suppression.
              FIGURE 20.20 SteamizerTM steam-assisted smokeless flare.
              FIGURE 20.21 Typical nonassisted flare.
              FIGURE 20.22 Zink double refractory (ZDR) severe service flare tip.
              FIGURE 20.23 Simple steam-assisted flare.
              FIGURE 20.24 Perimeter:area ratio as a function of tip size.
              FIGURE 20.25 Schematic of an advanced steam-assisted flare.
              FIGURE 20.26 A comparison of the perimeter:area ratio for simple and advanced steam-assisted flares.
              FIGURE 20.27 State-of-the-art SteamizerTM flare burner and muffler.
              FIGURE 20.28 Air assisted smokeless flare with two blowers in a refinery.
              FIGURE 20.29 Annular air flare. (Courtesy of Shell Canada Ltd.)
              FIGURE 20.30 Hydra flare burner in an offshore location.
              FIGURE 20.31 LRGO staging sequence during a flaring event from inception (a) to full load (g)
              FIGURE 20.32 Multi-point LRGO system with a radiation fence.
              FIGURE 20.33 A RIMFIRE endothermic flare.
              FIGURE 20.34 OWB liquid flare test firing 150 gpm.
              FIGURE 20.35 Forced draft Dragon liquid flare.
              FIGURE 20.36 Poseidon flare: water-assisted Hydra.
              FIGURE 20.37 Fundamental pilot parts.
              FIGURE 20.38 Conventional flame front generator.
              FIGURE 20.39 Slip stream flame-front generator.
              FIGURE 20.40 Self inspirating flame-front generator.
              FIGURE 20.41 SoundProof acoustic pilot monitor.
              FIGURE 20.42 Horizontal settling drum at the base of an air assisted flare.
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              FIGURE 20.43 Cyclone separator.
              FIGURE 20.44 Schematic of a vertical liquid seal.
              FIGURE 20.45 “Smoke signals” from a surging liquid seal.
              FIGURE 20.46 Various seal head designs.
              FIGURE 20.47 AirrestorTM velocity-type purge reduction seal.
              FIGURE 20.48 Molecular Seal density-type purge reduction seal.
              FIGURE 20.49 Schematic of a ZTOF.
              FIGURE 20.50 Self-supported flare.
              FIGURE 20.51 Guy wire-supported flare.
              FIGURE 20.52 Derrick supported flare.
              FIGURE 20.53 Demountable derrick.
              FIGURE 20.54 Flare support structure selection guide.
              FIGURE 20.55 Steam control valve station.
              FIGURE 20.56 Staging control valve assembly.
              FIGURE 20.57 Loop seal.
              FIGURE 20.58 Purge control station.
              FIGURE 20.59 Geometry for dispersion calculations.
              CHAPTER 21
              FIGURE           21.1        Typical       natural-draft burner.
              FIGURE           21.2        Typical       medium pressure drop burner.
              FIGURE           21.3        Typical       high pressure drop burner.
              FIGURE           21.4        Typical       horizontal system with a preheat exchanger.
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                                                                                  xxxiii
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                   Contributors
                      John Ackland is a Test Engineer at the John Zink Com-                                                  John Zink Company in the field of industrial burners and
                   pany, Tulsa. He has worked in the field of combustion for two                                             combustion equipment since 1974. He has co-authored a
                   years and has a bachelor’s degree in chemical engineering                                                 number of papers and presentations covering combustion,
                   from the University of Tulsa.                                                                             combustion equipment, and combustion-generated emissions,
                      Eugene Barrington is retired as a Senior Staff engineer                                                and is co-holder of several combustion-related patents.
                   for Shell Oil Company. He had primary responsibility for the                                                 Joseph Colannino, P.E., is the Director of Engineering
                   design, selection, application, and performance improvement                                               and Design at the John Zink Company, LLC, Tulsa, OK, and
                   of fired equipment. He has taught public courses on this topic                                            is a registered professional chemical engineer with more than
                   for many years, publishing extensive notes. He has also pub-                                              15 years of experience regarding combustion and combus-
                   lished in Hydrocarbon Processing and Chemical Engineering                                                 tion-related emissions. He has over 20 publications to his
                   Progress. Mr. Barrington was heavily involved in writing API                                              credit and is listed in Who’s Who in Science and Engineering,
                   specifications for both fired and unfired heat transfer equip-                                            Who’s Who in California, and Who’s Who in Finance and
                   ment. He has an M.S. degree in engineering science from the                                               Industry. He is a member of the American Institute for Chem-
                   University of California at Berkeley and is a registered Pro-                                             ical Engineers and the American Chemical Society.
                   fessional Engineer in Texas.
                                                                                                                               Terry Dark is the Coordinator of Engineering and Tech-
                      Peter Barry is the Director of Duct Burners for the John
                                                                                                                             nology Programs at Oklahoma State University’s Tulsa cam-
                   Zink Company, LLC, Tulsa, OK. He has a B.S. in Mechanical
                                                                                                                             pus, where he is currently pursuing a Masters of Science in
                   Engineering from Lehigh University.
                                                                                                                             Engineering and Technology Management. Terry worked pre-
                      Lawrence D. (Larry) Berg is a Senior Development Engi-
                                                                                                                             viously for the John Zink Company as a Combustion Test
                   neer at the John Zink Company, LLC, Tulsa, OK. He has over
                                                                                                                             Engineer, focusing on product testing, burner development,
                   ten years’ experience as a research and product development
                                                                                                                             and combustion safety. He is a 1998 graduate of Oklahoma
                   engineer for the company, and has a Masters Degree in
                                                                                                                             State University’s School of Chemical Engineering.
                   Mechanical Engineering from MIT. He holds four U.S. patents,
                   has co-authored five publications, and authored numerous                                                     Joe Gifford is a Senior Engineer, Instrumentation and Con-
                   internal technical documents.                                                                             trol Systems, at the John Zink Company, LLC, Tulsa, OK.
                      Wes Bussman is Research and Development Engineer at                                                    He has worked in the field of control and facilities design for
                   the John Zink Company, LLC, Tulsa, OK. He has worked in                                                   40 years and has a B.S. in Physics. For many years, he has
                   the field of combustion and fluid dynamics and has a Ph.D.                                                conducted company training classes for Control Engineers
                   in Mechanical Engineering from the University of Tulsa. He                                                and Technicians. He has received numerous awards for inno-
                   has authored five publications and has two patents. Honors                                                vative control system designs throughout his career, including
                   achieved include Kappa Mu Epsilon Mathematical Society                                                    the General Electric Nuclear Energy Division’s Outstanding
                   and Sigma Xi Research Society.                                                                            Engineering award for systems design over a 15-year period.
                      I-Ping Chung, Ph.D., is a Development Engineer in Tech-                                                Technical society memberships have included the Pacific
                   nology and Commercial Development Group at the John Zink                                                  Association of General Electric Scientists and Engineers
                   Company, LLC, Tulsa, OK. She has worked in the field of                                                   (PAGESE), Instrument Society of America (ISA), American
                   atomization and sprays, spray combustion, and laser diagno-                                               Society of Mechanical Engineers (ASME), and the National
                   sis in combustion and has a Ph.D. degree in Mechanical and                                                Fire Protection Association (NFPA).
                   Aerospace Engineering. She has authored 14 publications and                                                  Karl Graham, Ph.D., is currently the Process Engineering
                   has two patents. She is a registered Professional Engineer of                                             Director at UniField Engineering, Inc., Billings, MT. Karl
                   Mechanical Engineering in California and Iowa.                                                            was formerly the Manager of Flare Design and Development
                      Michael G. Claxton is a Senior Principal Engineer in the                                               at the John Zink Company, LLC, Tulsa, OK. Karl’s work has
                   Burner Process Engineering Group of the John Zink Com-                                                    been in the design, testing, engineering, and specification of
                   pany, LLC, Tulsa, OK. He has a B.S. in Mechanical Engi-                                                   flare, incineration, and gas cleaning equipment. He has a
                   neering from the University of Tulsa and has worked for the                                               Ph.D. in chemical engineering from MIT, is a member of the
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                                                                                                                     xxxv
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              American Institute of Chemical Engineers and is an active            waste materials and he has several publications in that area.
              participant in the American Petroleum Institute.                     He has also presented information, by invitation, to the Okla-
                 John Guarco is a Combustion Specialist at the John Zink           homa Senate Select Committee on Waste Incineration. Mr.
              Company, LLC, Shelton, CT. He has worked with burners for            Melton has been a Registered Professional Engineer for more
              utility and industrial boiler applications for seven years and       than 20 years.
              has a Masters of Science in Mechanical Engineering. He has              Robert E. Schwartz, P.E., is a Vice President at John Zink
              authored eight publications and holds three patents.                 Company, LLC, Tulsa, OK. He has worked in the fields of
                 Robert Hayes is a Test Engineer at the John Zink Com-             combustion, heat transfer, and fluid flow for 40 years and has
              pany, LLC, Tulsa, OK. He has worked in the fields of com-            an M.S. in mechanical engineering. Mr. Schwartz has been
              bustion, heat transfer, and experimentation for three years.         granted 50 U.S. patents, has had a number of articles pub-
              He has an M.S. in mechanical engineering from Brigham                lished and has spoken at many national society meetings. He
              Young University.                                                    is a registered professional engineer, a member of ASME and
                 Jim Heinlein is a Senior Controls Engineer at John Zink           AIChE, and an associate member of Sigma Xi. He was elected
              Company, LLC, Tulsa, OK, where he has been employed for              to The University of Tulsa Engineering Hall of Fame in 1991
              10 years. He has also worked in Nuclear Engineering, Com-            and was a 1988 recipient of the University of Missouri Honor
              puter Systems Design, and Low Observables Engineering. He            Award for Distinguished Service to Engineering. He is a
              is a member of ISA, IEEE, and Tau Beta Pi. He is also                member of the Mechanical Engineering Industrial Advisory
              qualified as a Naval Surface Warfare Expert.                         Board, The University of Tulsa. He has been a John Zink
                 Michael Henneke, Ph.D., is a CFD Engineer at John Zink            Burner School instructor for 30 years and served as Director
              Company, LLC, Tulsa, OK. His academic background is in               of the School for 10 years.
              the area of reacting flow modeling and radiative transport. He          Prem C. Singh, Ph.D., is a Test Engineer at the John Zink
              holds a Ph.D. in mechanical engineering from The University          Company, LLC, Tulsa, OK. He has worked in the fields of
              of Texas at Austin. He has published three refereed journal          combustion, energy engineering, and transport phenomena
              papers, as well as many non-refereed articles and has given          for over 20 years and has a Ph.D. in chemical engineering.
              a number of presentations on computational fluid dynamic             He has authored more than 50 publications and is a contrib-
              modeling of industrial combustion systems.                           utor to a book on coal technology published by Delft Uni-
                 Jaiwant D. Jayakaran (Jay Karan) is Director, Burner              versity of Technology. He has worked as a reviewer for the
              Technology at the John Zink Company, LLC, Tulsa, OK. He              Canadian Journal of Chemical Engineering and Industrial
              has worked in the fields of combustion, petrochemicals, and          and Engineering Chemistry Research, is a member of AIChE,
              power, with responsibilities in R&D, plant operations, and           ASME, Sigma XI, and the New York Academy of Sciences,
              engineering. Jay has an M.S. in mechanical engineering. He           and has been cited in Marquis’s Who’s Who in Science and
              has authored several technical articles and papers over the          Engineering. He has taught courses in chemical and mechan-
              years, and has several patents pending.                              ical engineering to undergraduate and graduate classes during
                 Jeff Lewallen is an Account Manager at John Zink Com-             his long tenure as a faculty /visiting faculty member.
              pany, LLC, Tulsa, OK. He has worked in the field of com-                Joseph D. Smith, Ph.D., is Director of Flare Technology
              bustion for eight years. He graduated from the University of         and Computational Fluid Dynamics at the John Zink Com-
              Tulsa in 1992 and holds a B.S. in mechanical engineering.            pany, LLC, Tulsa, OK. He has worked in the field of CFD for
                 Michael Lorra, Ph.D., has been a CFD engineer for the             nearly twenty years and has a Ph.D. in chemical engineering.
              John Zink Company, LLC, Tulsa, OK, since 1999. Previous              He has authored 27 peer-reviewed publications, 16 invited
              to that, he worked at Gaswaerme Institut, Essen, Germany,            lectures, 19 conference papers, two patents, and has organized
              e.V for eight years, where he also finished his Ph.D. He gained      and directed three special symposia. As a member of the
              experience in NOx reduction techniques, especially in reburn-        American Institute of Chemical Engineering, he has served as
              ing technology. He developed his own software code for the           National Chair of the Student Chapters Committee and as
              computation of turbulent reacting flow problems using lami-          Local Chair of the Mid-Michigan AIChE section. Research
              nar flamelet libraries.                                              topics include reaction engineering and turbulent reactive flow
                 Paul Melton is a Senior Principal Engineer for the Thermal        simulation. He has taught undergraduate and graduate courses
              Oxidation Systems Group at the John Zink Company, LLC,               in chemical engineering at the University of Michigan and at
              Tulsa, OK. He received a BSME from Oklahoma State Uni-               the University of Illinois/Urbana–Champaign.
              versity and has worked in the field of combustion for more              Stephen L. Somers is a Senior Process Engineer at the
              than 25 years. His specialty is combustion of all types of           John Zink Company, LLC, Tulsa, OK. He has 32 years of
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Contributors xxxvii
                   experience in combustion and process design with 15 years               and has a B.S. in mechanical engineering. He has authored
                   in sales and design of duct burners for supplementary firing.           three publications and is a licensed professional mechanical
                   He has an M.S. in chemical engineering from the University              engineer in California.
                   of Oklahoma.
                                                                                              Jeff White is the Senior Flare Design Consultant at the
                      Lev Tsirulnikov, Ph.D., is a Senior Research Engineer for
                                                                                           John Zink Company, LLC, Tulsa, OK. He has worked in the
                   the John Zink Company, LLC, Shelton, CT. He has developed
                                                                                           field of Flare System Design at John Zink Company for 19
                   low-emission combustion technologies, burners, and other
                                                                                           years. He has an M.S. in mechanical engineering from The
                   equipment for gas/oil-fired utility and industrial boilers. He
                                                                                           University of Texas at Austin. He has published two articles,
                   has a Ph.D. in mechanical engineering. He holds 47 patents
                                                                                           one on flare radiation methods and the other on flow mea-
                   and has published more than 100 technical papers, including
                                                                                           surement by ASME nozzles.
                   four books in the combustion/boiler field.
                      Richard T. Waibel, Ph.D., is a Senior Principal Engineer                Roger H. Witte is Director of Marketing and Sales-End
                   in the Burner Process Engineering Group at the John Zink                Users at the John Zink Company, LLC, Tulsa, OK. He has
                   Company, LLC, Tulsa, OK. He works in the field of burner                worked at John Zink for 28 years in the development and
                   design and development and has a doctorate in fuel science              application of Zink equipment and at Conoco for seven years
                   from The Pennsylvania State University. He has authored over            in their refining and chemical operations. He is also Director
                   70 technical papers, publications, and presentations. Dr.               of the John Zink Burner School which teaches the art of
                   Waibel has been the Chairman of the American Flame                      combustion. Roger has a B.S. in refining and chemical engi-
                   Research Committee since 1995.                                          neering from the Colorado School of Mines and has 35 years
                      Timothy Webster is the Sales Manager for New Technol-                of experience in the fields of combustion and operations of
                   ogies at the John Zink Company, LLC, Shelton, CT. He has                combustion equipment. Roger is a member of the Tulsa Engi-
                   worked in the field of industrial combustion for seven years            neering Society.
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                   Table of Contents
                   Prologue.................................................................................................................................................xxxvii
                   Chapter 1: Introduction...............................................................................................................................3
                   Charles E. Baukal, Jr.
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              Joseph Colannino
              Chapter 17 Troubleshooting.....................................................................................................................501
              Roger H. Witte and Eugene A. Barrington
              Chapter 20 Flares......................................................................................................................................589
              Robert Schwartz, Jeff White, and Wes Bussman
              Appendices
              Appendix A: Physical Properties of Materials ........................................................................................................695
              Appendix B: Properties of Gases and Liquids ........................................................................................................715
              Appendix C: Common Conversions .....................................................................................................................725
Index...........................................................................................................................................................729
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                   Prologue
                   Fred Koch and John Zink
                   Pioneers in the Petroleum Industry
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                   The early decades of the twentieth century saw the birth and             safely and efficiently. Early burner designs made even natural
                   growth of the petroleum industry in Oklahoma. Drilling der-              gas difficult to burn as traditional practice and safety concerns
                   ricks sprouted like wildflowers throughout the state, making             led to the use of large amounts of excess air and flames that
                   it among the top oil producers in the nation and Tulsa the               nearly filled the fire box. Such poor burning qualities hurt
                   “Oil Capital of the World” by the 1920s.                                 plant profitability.
                      Refining operations accompanied oil production. Many of                  Among firms engaged in natural gas gathering and sales
                   the early refineries were so small that today they would be              in the northeastern part of the state was Oklahoma Natural
                   called pilot plants. They were often merely topping processes,           Gas Company (ONG). It was there that John Steele Zink,
                   skimming off natural gasoline and other light fuel products              after completing his studies at the University of Oklahoma in
                   and sending the remainder to larger refineries with more                 1917, went to work as a chemist. Zink’s chemistry and engi-
                   complex processing facilities.                                           neering education enabled him to advance to the position of
                      Along with oil, enough natural gas was found to make its              manager of industrial sales. But while the wasteful use of
                   gathering and sale a viable business as well. Refineries fre-            natural gas due to inefficient burners increased those sales, it
                   quently purchased this natural gas to fuel their boilers and             troubled Zink, and awakened his talents first as an innovator
                   process heaters. At the same time, these refineries vented               and inventor, and then as an entrepreneur.
                   propane, butane, and other light gaseous hydrocarbons into                  Seeing the problems with existing burners, Zink responded
                   the atmosphere because their burners could not burn them                 by creating one that needed less excess air and produced a
                                                                                    xliii
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              compact, well-defined flame shape. A superior burner for that          Growth of the company required Zink to relocate his family
              era, it was technically a premix burner with partial primary        and business to larger facilities on the outskirts of Tulsa. In
              air and partial draft-induced secondary air. The use of two         1935, he moved into a set of farm buildings on Peoria Avenue,
              airflows led to its trade name, BI-MIX®. The BI-MIX® burner         a few miles to the south of the city downtown, a location Zink
              is shown in a drawing from one of Zink’s earliest patents.          thought would allow for plenty of future expansion.
                 ONG showed no interest in selling his improved burners              As time passed, Zink’s company became engaged in mak-
              to its customers, so in 1929 Zink resigned and founded Mid-         ing numerous other products, sparked by its founder’s beliefs
              Continent Gas Appliance Co., which he later renamed the             in customer service and solving customer problems. After
              John Zink Company.                                                  World War II, Zink was the largest sole proprietorship west
                                                                                  of the Mississippi. Zink’s reputation for innovation attracted
                 Zink’s BI-MIX® burner was the first of many advances in          customers who wanted new burners and, eventually, whole
              technology made by his company, which to date has seen              new families of products. For example, customers began ask-
              almost 300 U.S. patents awarded to nearly 80 of its employ-         ing for reliable pilots and pilot igniters, when atmospheric
              ees. He carried out early manufacturing of the burner in the        venting of waste gases and emergency discharges was
              garage of his Tulsa-area home and sold it from the back of          replaced by combustion in flares in the late 1940s. This in
              his automobile as he traveled the Oklahoma oil fields, gen-         turn was followed by requests for flare burners and finally
              erating the money he needed to buy the components required          complete flare systems, marking the start of the flare equip-
              to fabricate the new burners.                                       ment industry. Similar customer requests for help in dealing
                 The novel burners attracted customers by reducing their          with gas and liquid waste streams and hydrocarbon vapor led
              fuel costs, producing a more compact flame for more efficient       the Zink Company to become a major supplier of gas and
              heater operation, burning a wide range of gases, and generally      liquid waste incinerators and also of hydrocarbon vapor
              being safer to use. Word of mouth among operators helped            recovery and other vapor control products.
              spread their use throughout not only Oklahoma but, by the              Mr. Zink’s great interest in product development and inno-
              late 1930s, to foreign refineries as well.                          vation led to the construction of the company’s first furnace
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Prologue xlv
                   for testing burners. This furnace was specially designed to                and the former Soviet Union. One of the first of these pro-
                   simulate the heat absorption that takes place in a process                 cessing units was installed in a refinery in Duncan, Oklahoma,
                   heater. Zink had the furnace built in the middle of the                    in 1928, one year before Zink started his own company.
                   employee parking lot, a seemingly odd placement. He had                       While the two men were not personally acquainted, Koch
                   good reason for this because he wanted his engineers to pass               and Zink’s companies knew each other well in those early
                   the test furnace every day as they came and went from work                 years. Winkler–Koch Engineering was an early customer for
                   as a reminder of the importance of product development to                  Zink burners. The burners were also used in the Wood River
                   the Company’s success.                                                     refinery in Hartford, Illinois. Winkler–Koch constructed this
                      Zink went beyond encouraging innovation and motivating                  refinery in 1940 with Fred Koch as a significant part owner
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                   his own employees. During the late 1940s, Zink and his                     and the head of refining operations. Winkler–Koch Engineer-
                   technical team leader, Robert Reed (who together with Zink                 ing, and later Koch Engineering, continued to buy Zink burn-
                   developed the first smokeless flare) sensed a need for an                  ers for many years.
                   industry-wide meeting to discuss technologies and experi-                     Fred Koch and two of his sons, Charles and David, were
                   ences associated with process heating. In 1950, they hosted                even more successful in growing their family business than
                   the first of four annual Process Heating Seminars in Tulsa.                were Zink and his family. When the Zink family sold the John
                   Interest in the seminars was high, with the attendance level               Zink Company to Sunbeam Corporation2 in 1972, the com-
                   reaching 300. Attendees of the first Process Heating Seminar               pany’s annual revenues were US $15 million. By that time Koch
                   asked Zink and Reed to conduct training sessions for their                 Industries, Inc., the parent of Koch Engineering, had revenues
                   operators and engineers. These training sessions, which com-               of almost US $1 billion. Since then Koch has continued to
                   bined lectures and practical hands-on burner operation in                  grow, its revenues in the year 1999 were over US $30 billion.
                   Zink’s small research and development center, were the start                  When the John Zink Company was offered for sale in 1989,
                   of the John Zink Burner School®. The year 2000 marks the                   its long association with Koch made Koch Industries a very
                   fiftieth anniversary of the original seminar and the fiftieth              interested bidder. Acting through its Chemical Technology
                   year in which the Burner School has been offered. Over the                 Group, Koch Industries quickly formed an acquisition team,
                   years, other schools were added to provide customer training               headed by David Koch, which succeeded in purchasing the
                   in the technology and operation of hydrocarbon vapor recov-                John Zink Company.
                   ery systems, vapor combustors, and flares.                                    Koch’s management philosophy and focus on innovation
                      Included among the 150 industry leaders attending the first             and customer service sparked a new era of revitalization and
                   seminar was Harry Litwin, former President and part owner                  expansion for the John Zink Company. Koch recognized that
                   of Koch Engineering Co., now part of Koch Industries of                    the Peoria Avenue research, manufacturing, and office facil-
                   Wichita, Kansas. Litwin was a panelist at the closing session.             ities were outdated. The growth of Tulsa after World War II
                   Koch Engineering was established in 1943 to provide engi-                  had made Zink’s facilities an industrial island in the middle
                   neering services to the oil refining industry. In the early 1950s          of a residential area. The seven test furnaces on Peoria Avenue
                   it developed an improved design for distillation trays and                 at the time of the acquisition, in particular, were cramped,
                   because of their commercial success the company chose to                   with such inadequate infrastructure and obsolete instrumen-
                   exit the engineering business. Litwin left Koch at that time               tation they could not handle the sophisticated research and
                   and set up his own firm, the Litwin Engineering Co., which                 development required for modern burners.
                   grew into a very sizeable business.                                           A fast-track design and construction effort by Koch
                      During the same period that John Zink founded his busi-                 resulted in a new office and manufacturing complex in the
                   ness, another talented young engineer and industry innovator,              northeast sector of Tulsa and was completed at the end of
                   Fred C. Koch, was establishing his reputation as an expert in              1991. In addition, a spacious R&D facility adjacent to the
                   oil processing. The predecessor to Koch Engineering Co. was                new office and manufacturing building replaced the Peoria
                   the Winkler–Koch Engineering Co., jointly owned by Fred                    test facility.
                   Koch with Lewis Winkler, which designed processing units                      The initial multimillion dollar investment in R&D facilities
                   for oil refineries. Fred Koch had developed a unique and very              included an office building housing the R&D staff and support
                   successful thermal cracking process which was sold to many                 personnel, a burner prototype fabrication shop, and an indoor
                   independent refineries throughout the United States, Europe,               laboratory building. Additional features included steam boil-
                   2Sunbeam Corporation was primarily known as an appliance maker. Less well known was Sunbeam’s group of industrial specialty companies such
                   as John Zink Company.
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              ers, fuel storage and handling, data gathering centers, and            a customer’s fuel composition. Multiple cameras will provide
              measurement instrumentation and data logging for perfor-               video images along with the electronic monitoring and
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              mance parameters from fuel flow to flue gas analysis.                  recording of a wide range of flare test data, including noise
                 Koch has repeatedly expanded the R&D facility. When the             emissions. The facility will be able to test all varieties of flare
              new facility began testing activities in 1992, nine furnaces           systems with very large sustained gas flow rates at or near
              and a multipurpose flare testing area were in service. Today,          those levels which customers will encounter in the field.
              there are 14 outdoor test furnaces and two indoor research             Indeed, flow capacity will match or exceed the smokeless rate
              furnaces. Control systems are frequently updated to keep               of gas flow for virtually all customers’ industrial plants, giv-
              them state of the art.                                                 ing the new flare facility a capability unmatched in the world.
                 Zink is now able to monitor and control burner tests from              These world-class test facilities are staffed with engineers
              an elevated Control Center that has a broad view of the entire         and technicians who combine theoretical training with prac-
              test facility. The Control Center includes complete automa-            tical experience. They use the latest design and analytical
              tion of burner testing with live data on control panels and            tools, such as Computational Fluid Dynamics, physical mod-
              flame shape viewing on color video monitors. Fuel mixtures             eling, and a Phase Doppler Particle Analyzer. The team can
              and other test parameters can be varied remotely from the              act quickly to deliver innovative products that work success-
              control panels inside the Control Center. Up to four separate          fully, based on designs which can be exactly verified before
              tests in four different furnaces can be conducted and moni-            the equipment is installed in the field.
              tored simultaneously.                                                     Koch’s investment in facilities and highly trained technical
                 A new flare testing facility is under construction at the time      staff carries on the tradition John Zink began more than 70
              of this writing to dramatically expand and improve Zink’s              years ago: providing our customers today, as he did in his
              capabilities. This project represents the company’s largest            time, with solutions to their combustion needs through better
              single R&D investment since the original construction of the           products, applications, information, and service.
              R&D facility in 1991. The new facilities will accommodate
              the firing of a wide variety of fuel blends (propane, propylene,                                                                  Robert E. Schwartz
              butane, ethylene, natural gas, hydrogen, and diluents such as                                                                                     October, 2000
              nitrogen and carbon dioxide) to reproduce or closely simulate                                                                                  Tulsa, Oklahoma
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                                        Chapter 1
                                        Introduction
                                                                                                                                                                                Charles E. Baukal, Jr.
TABLE OF CONTENTS
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                                               1.4         Burners ...................................................................................................................................................... 12
                                                            1.4.1       Competing Priorities ................................................................................................................... 13
                                                            1.4.2       Design Factors ............................................................................................................................ 14
                                                            1.4.3       General Burner Types ................................................................................................................. 16
                                        References .................................................................................................................................................................. 22
                                                                                                                                 3
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              1.1 PROCESS INDUSTRIES                                                                       processes that are used in a typical plant (see Figure 1.1). This
              Process industries encompass the production of a wide range                                  differs significantly from most other industrial combustion
              of products like fuels (e.g., oil and natural gas), glass, metals                            systems that normally fire a single purchased fuel such as
              (e.g., steel and aluminum), minerals (e.g., refractories,                                    natural gas or fuel oil. Another important challenge is that
              bricks, and ceramics), and power, to name a few. The treat-                                  many of the burners commonly used in the hydrocarbon and
              ment and disposal of waste materials is another example of a                                 petrochemical industries are natural draft, where the buoyant
              process industry. In this book, only a few of these are consid-                              combustion exhaust products create a draft that induces the
              ered and briefly discussed. The main focus of the book is on                                 combustion air to enter the burners. This is different from
              the hydrocarbon, petrochemical, power generation, and ther-                                  nearly all other industrial combustion processes, which utilize
              mal oxidation industries.                                                                    a combustion air blower to supply the air used for combustion
                                                                                                           in the burner. Natural draft burners are not as easy to control
                                                                                                           as forced draft burners, and are subject to things like the wind,
              1.1.1 Hydrocarbon and Petrochemical                                                          which can disturb the conditions in a process heater.
                    Industries                                                                                 According to the U.S. Dept. of Energy, petroleum refining
              The hydrocarbon and petrochemical industries present unique                                  is the most energy-intensive manufacturing industry in the U.S.,
              challenges to the combustion engineer, compared to other                                     accounting for about 7% of total U.S. energy consumption in
              industrial combustion processes. One of the more important                                   1994.1 Table 1.1 shows the major processes in petroleum refin-
              challenges in these industries is the wide variety of fuels,                                 ing, most of which require combustion in one form or another.
              which are usually off-gases from the petroleum refining                                      Figure 1.2 shows the process flow through a typical refinery.
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Introduction 5
                      The U.S. Dept. of Energy Office of Industrial Technologies                 TABLE 1.1 Major Petroleum Refining Processes
                   has prepared a Technology Roadmap for industrial combustion.2                                Category                                         Major Process
                   For process heating systems, some key performance targets for                 Topping (separation of crude oil)              Atmospheric distillation
                   the year 2020 have been identified for burners and for the overall                                                           Vacuum distillation
                   system. For the burners, the targets include reducing criteria                                                               Solvent deasphalting
                                                                                                 Thermal and catalytic cracking                 Delayed coking
                   pollutant emissions by 90%, reducing CO2 emissions to levels
                                                                                                                                                Fluid coking/flexicoking
                   agreed upon by the international community, reducing specific                                                                Visbreaking
                   fuel consumption by 20 to 50%, and maximizing the ability to                                                                 Catalytic cracking
                   use multiple fuels. For the heating system, the targets include                                                              Catalytic hydrocracking
                                                                                                 Combination/rearrangement of
                   reducing the total cost of combustion in manufacturing, enhanc-                hydrocarbon                                   Alkylation
                   ing system integration, reducing product loss rate by 50%, max-                                                              Catalytic reforming
                   imizing system robustness, and zero accidents. The following                                                                 Polymerization
                                                                                                                                                Isomerization
                   were identified as top-priority R&D needs in process heating:                                                                Ethers manufacture
                   a burner capable of adjusting operating parameters in real time,              Treating                                       Catalytic hydrotreating/hydroprocessing
                   advanced burner stabilization methods, robust design tools, and                                                              Sweetening/sulfur removal
                                                                                                                                                Gas treatment
                   economical methods to premix fuel and air. The following were
                                                                                                 Specialty product manufacture                  Lube oil
                   also identified as top-priority R&D needs in process heating:                                                                Grease
                   new furnace designs, advanced sensors, cost-effective heat                                                                   Asphalt
                   recovery processes, and new methods to generate heat without                  Source: From the U.S. Dept. of Energy.1
                   environmental impact. Both the burners and the process heaters
                   are considered in a number of chapters within this book.
                      Flares (see Figure 1.3) are used to dispose of unwanted gases              industries. Duct burners (see a typical flame in Figure 1.4) are
                   or liquids. Usually, liquids are separated from the gas and                   burners that are inserted into large ducts (see Figure 1.5) to
                   burned in the liquid state or vaporized and burned as a gas. The              boost the temperature of the gases flowing through the ducts.
                   unwanted material is generally composed of hydrocarbon                        These burners are frequently used in co-generation projects,
                   gases, but may include hydrogen, carbon monoxide, hydrogen                    electrical utility peaking stations, repowering programs, and in
                   sulfide, certain other combustible gases, or some amount of an                industrial mechanical driver systems employing gas turbines
                   inert gas such as nitrogen or carbon dioxide. There are several               with site requirements for steam. They are also used in fluid-
                   conditions that may require flaring. The largest flaring events               ized bed combustors and chemical process plants. The effi-
                   occur during emergency pressure relieving conditions associ-                  ciency of a duct burner to supply additional heat approaches
                   ated with a sudden unavoidable failure, such as loss of electrical            95%, which is much higher than, for example, a backup boiler
                   power, loss of cooling water, fire, or the like. Flaring also occurs          system in generating more steam. Duct burners are often easily
                   when gases are vented in order to maintain control of a process               retrofitted into existing ductwork. Several important factors in
                   or during start-up or shutdown of a plant. Yet another cause of               duct burner applications include low pollutant emissions, safe
                   flaring is the disposal of unwanted gases. Examples include                   operation, uniform heat distribution from the duct burners to
                   unmarketable natural gas that is co-produced with oil and off-                the gases flowing through the duct, getting uniform gas distri-
                   specification gases produced from a process. Whatever the rea-                bution through the duct burners, and having adequate turn-
                   son, flares must reliably combust gases whenever they are called              down to meet fluctuating demands. Duct burners typically use
                   upon. One of the challenges for flares is initiating and main-                gaseous fuels, but occasionally fire on oil.
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 1.2 Typical refinery flow diagram. (From the U.S. Dept. of Energy.1)
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Introduction 7
              1.2.1 Combustion                                                                             is much data in the book on flame lengths, flame shapes,
              Many good textbooks are available on the fundamentals of                                     velocity profiles, species concentrations, and liquid and solid
              combustion, but have little if anything on the hydrocarbon                                   fuel combustion, with a limited amount of information on
              process and petrochemical industries.3–8 A recent book by                                    heat transfer. Perthuis’ (1983) book has significant discus-
              Turns (1996), designed for undergraduate and graduate com-                                   sions of flame chemistry, and some discussion of heat trans-
              bustion courses, contains more discussions of practical com-                                 fer from flames. 13 Keating’s (1993) book on applied
              bustion equipment than most similar books.9 Khavkin (1996)                                   combustion is aimed at engines and has no treatment of
              has written a book that combines theory and practice on gas                                  industrial combustion processes.14 A recent book by Borman
              turbines and industrial combustion chambers.10 Of relevance                                  and Ragland (1998) attempts to bridge the gap between the
              here, the Khavkin book has a discussion of tube furnaces                                     theoretical and practical books on combustion.15 However,
              used in hydrogen production.
                                                                                                           the book has little discussion regarding the types of industrial
                 There have also been many books written on the more
                                                                                                           applications considered here. Even handbooks on combus-
              practical aspects of combustion. Griswold’s (1946) book has
                                                                                                           tion applications have little if anything on industrial com-
              a substantial treatment of the theory of combustion, but is
              also very practically oriented and includes chapters on gas                                  bustion systems.16–20 The Furnace Operations book by
              burners, oil burners, stokers and pulverized-coal burners,                                   Robert Reed is the only one that has any significant coverage
              heat transfer (although brief), furnace refractories, tube heat-                             of combustion in the hydrocarbon and petrochemical indus-
              ers, process furnaces, and kilns.11 Stambuleanu’s (1976) book                                tries. However, this book was last updated in 1981 and is more
              on industrial combustion has information on actual furnaces                                  of an introductory book with few equations, graphs, figures,
              and on aerospace applications, particularly rockets.12 There
                                                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                           pictures, charts, and references.
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Introduction 9
                                                                  1.2.2 The Process Industries                                             array of tubes located inside a furnace or heater. The tubes
                                                                  Anderson (1984) has written a general introductory book on               are heated by direct-fired burners that often use fuels that are
                                                                  the petroleum industry, tracing its development from the                 by-products from processes in the plant and that vary widely
                                                                  beginning up to some projections for the future of oil.21 There          in composition.
                                                                  is no specific discussion of combustion in petroleum refining.              Using tubes to contain the load is somewhat unique com-
                                                                  Leffler (1985) has written an introductory book on the major             pared to the other types of industrial combustion applications.
                                                                  processes in petroleum refining, including catalytic cracking,           It was found that heating the fluids in tubes has many advan-
                                                                  hydrocracking, and ethylene production, among many                       tages over heating them in the shell of a furnace.25 Advantages
                                                                  others.22 The book is written from an overall process perspec-           include better suitability for continuous operation, better
                                                                  tive and has no discussion of the heaters in a plant. Gary and           controllability, higher heating rates, more flexibility, less
                                                                  Handwerk (1994) have written a good overview of petroleum                chance of fire, and more compact equipment.
                                                                  refining.23 The book discusses many of the processes                        One of the problems encountered in refinery-fired heaters
                                                                  involved in petroleum refining operations, including coking,             is an imbalance in the heat flux in the individual heater
                                                                  catalytic cracking, and catalytic reforming, among others.               passes.26 This imbalance can cause high coke formation rates
                                                                  However, it does not specifically discuss the combustion pro-            and high tube metal temperatures, which reduce a unit’s
                                                                  cesses involved in heating the refinery fluids.                          capacity and can cause premature failures (see Chapter 10).
                                                                     Meyers (1997) has edited a recently updated handbook on               Coke formation on the inside of the heater tubes reduces the
                                                                  petroleum refining processes.24 The book is divided into 14              heat transfer through the tubes, which leads to the reduced
                                                                  parts, each on a different type of overall process, including            capacity. One cause of coking is flame impingement directly
                                                                  catalytic cracking and reforming, gasification and hydrogen              on a tube, which causes localized heating and increases coke
                                                                  production, hydrocracking, and visbreaking and coking,                   formation there (see Chapter 17). This flame impingement can
                                                                  among others. Each part is further divided into the individual           be caused by operating without all of the burners in service,
                                                                  subtypes and variations of the given overall process. Compa-             insufficient primary or secondary air to the burner, operating
                                                                  nies such as Exxon, Dow-Kellogg, UOP, Stone and Webster,                 the heater at excessive firing rates, fouled burner tips, eroded
                                                                  and Foster-Wheeler have written about the processes they                 burner tip orifices, or insufficient draft. The problem of flame
                                                                  developed, which they license to other companies. Many                   impingement shows the importance of proper design27 to
                                                                  aspects of the processes are discussed, including flow dia-              ensure even heat flux distribution inside the fired heater.
                                                                  grams, chemistry, thermodynamics, economics, and environ-                   Recently, the major emphasis has been on increasing the
                                                                  mental considerations, but there is very little discussion of            capacity of existing heaters rather than installing new heaters.
                                                                  the combustion systems.                                                  The limitations of overfiring a heater include:
                                                                  1.3 FIRED HEATERS                                                        and convection sections), burner data (number, type, arrange-
                                                                  Fired or tubestill heaters are used in the petrochemical and             ment, etc.), draft requirement, required instrumentation, as
                                                                  hydrocarbon industries to heat fluids in tubes for further               well as a number of other details such as the number of
                                                                  processing. In this type of process, fluids flow through an              peepholes, access doors, and platforms.
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                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                       down-fired burner commonly used in top-fired reformers. In
                                                                                       a design sometimes referred to as terrace firing, burners may
              1.3.1 Reformers                                                          be located in the side wall but be firing up the wall at a slight
              As the name indicates, reformers are used to reformulate a               angle (see Figure 1.10). Foster Wheeler uses terrace wall
              material into another product. For example, a hydrogen                   reformers in the production of hydrogen by steam reformation
              reformer takes natural gas and reformulates it into hydrogen             of natural gas or light refinery gas.31
              in a catalytic chemical process that involves a significant
              amount of heat. A sample set of reactions is given below for                The reformer tubes are a critical element in the overall
              converting propane to hydrogen29:                                        design of the reformer. Because they operate at pressures up
                                                                                       to 350 psig (24 barg), they are typically made from a high-
                                         C3H8                      →   C2H4 + CH4      temperature and -pressure nickel alloy like inconel to ensure
                                         C2H4 + 2H2O               →   2CO + 4H2       that they can withstand the operating conditions inside the
                                         CH4 + H2O                 →   CO + 3H2        reformer. Failure of the tubes can be very expensive because
                                         CO + H2O                  →   CO2 + H2        of the downtime of the unit, lost product, damaged catalyst,
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Introduction 11
                                                                                                                                                              Bur
                   process heaters are radiation and convection. The initial part
                   of the fluid heating is done in the convection section of the
                                                                                                                                                                     ner
                   furnace, while the latter heating is done in the radiant section
                   (see Figure 1.11). Each section has a bank of tubes in it
                   where the fluids flow through, as shown in Figure 1.12.34                 FIGURE 1.10 Elevation view of a terrace firing furnace.
                                                                                                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   Early heater designs had only a single bank of tubes that
                   failed prematurely because designers did not understand the
                   importance of radiation on the process.25 The tubes closest to
                   the burners would overheat. Overheating caused the hydro-
                   carbons to form coke inside the tube. The coke further aggra-                                                                                           Stack
                   vated the problem by reducing the thermal conductivity
                                                                                               Stack
                   through the coke layer inside the tube. The reduced thermal
                                                                                              Damper
                   conductivity prevented the process fluids from absorbing
                                                                                                                                                                     Convection
                   adequate heat to cool the tubes, resulting in overheating and
                   failure of the tubes. One of the key challenges for the heater
                                                                                                                                                                      Section
                   designer is to get even heat distribution inside the combustor
                   to prevent coking inside the tubes. Bell and Lowy (1967)
                   estimated that approximately 70% of the energy is trans-
                                                                                                                                                                       Radiant
                   ferred to the fluids in the radiant section of a typical heater
                   and the balance to the convection section.35 The tubes in the                                                                                       Section
                   convection section often have fins to improve convective heat
                   transfer efficiency. These fins are designed to withstand tem-
                   peratures up to about 1200°F (650°C). If delayed combustion
                   occurs in the convection section, the fins can be exposed to
                   temperatures up to 2000°F (1100°C), which can damage the                  FIGURE 1.11 Schematic of a process heater.
                   fins.34
                     Kern noted that process heaters are typically designed
                   around the burners.33 There may be anywhere from 1 to over                forced-draft systems, burners with air preheat typically have
                   100 burners in a typical process heater, depending on the                 higher heat releases than burners without air preheat. Accord-
                   design and process requirements. In the refinery industry, the            ing to one survey, 89.6% of the burners in oil refineries are
                   average number of burners in a heater varies by the heater                natural draft, 8.0% are forced draft with no air preheat, and
                   type, as shown in Table 1.2.36 On average, mechanical draft               2.4% are forced draft with air preheat.37 The mean size of all
                   burners have higher firing rates than natural draft burners. For          process heaters is 72 × 106 Btu/hr (21 MW), which are mostly
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Introduction 13
                                                                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                  TABLE 1.3 Major Refinery Processes Requiring a Fired Heater
                                                                                                                                                                                        Feedstock
                                                                                                                                                             Process heat requirements temperature
                                                                                                                                                                                          outlet of
                               Process                                          Process Description                                  Heaters used             KJ/liter    103 Btu/bbl    heater, °F
                                                                                                        Distillation
                  Atmospheric                              Separates light hydrocarbons from crude in a                           Preheater, reboiler              590                    89       700
                                                            distillation column under atmospheric conditions
                  Vacuum                                   Separates heavy gas oils from atmospheric                              Preheater, reboiler              418                    63     750–830
                                                            distillation bottoms under vacuum
                                                                                                   Thermal Processes
                  Thermal cracking                         Thermal decomposition of large molecules into lighter,                    Fired reactor               4650                 700        850–1000
                                                            more valuable products
                  Coking                                   Cracking reactions allowed to go to completion;                              Preheater                1520                 230        900–975
                                                            lighter products and coke produced.
                  Visbreaking                              Mild cracking of residuals to improve their viscosity                     Fired reactor                 961                145        850–950
                                                            and produce lighter gas oils
                                                                                                   Catalytic Cracking
                  Fluidized catalytic cracking Cracking of heavy petroleum products; a catalyst is used                                 Preheater                  663                100        600–885
                                                to aid the reaction
                  Catalytic hydrocracking      Cracking heavy feedstocks to produce lighter products                                    Preheater                1290                 195        400–850
                                                in the presence of hydrogen and a catalyst
                                                                                                      Hydroprocessing
                  Hydrodesulfurization                     Remove contaminating metals, sulfur, and nitrogen                            Preheater                  431                    65 a   390–850
                                                            from the feedstock; hydrogen is added and reacted
                                                            over a catalyst
                  Hydrotreating                            Less severe than hydrodesulfurization; removes metals,                       Preheater                  497                    75b    600–800
                                                            nitrogen, and sulfur from lighter feedstocks;
                                                            hydrogen is added and reacted over a catalyst
                                                                                                    Hydroconversion
                  Alkylation                               Combination of two hydrocarbons to produce a higher                          Reboiler                 2500                 377 c        400
                                                            molecular weight hydrocarbon; heater used on the fractionator
                  Catalytic reforming                      Low-octane napthas are converted to high-octane,                             Preheater                1790                 270        850–1000
                                                            aromatic napthas; feedstock is contacted with hydrogen
                                                            over a catalyst
                  a Heavy gas oils and middle distillates.
                  b Light distillate.
                  c Btu bbl–1 of total alylate.
                   and pyrolysis heaters.41 Six types of vertical-cylindrical-fired                               tubes and are heated to the desired temperature for further
                   heaters were given: all radiant, helical coil, crossflow with                                  processing. The fluids are preheated in the convection section
                   convection section, integral convection section, arbor or wicket                               and heated to the desired process temperature in the radiant
                   type, and single-row/double-fired. Six basic designs were also                                 section. Radiant heat transfer from the flames to the tubes is
                   given for horizontal tube-fired heaters: cabin, two-cell box,                                  the most critical aspect of this heater because overheating of
                   cabin with dividing bridgewall, end-fired box, end-fired box                                   the tubes leads to tube failure and shutdown of the heater.42
                   with side-mounted convection section, and horizontal-tube/                                     The tubes can be horizontally or vertically oriented, depend-
                   single-row/double-fired.                                                                       ing on the particular heater design.
                      Many commonly used process heaters typically have a                                            A unique aspect of process heaters is that they are often
                   radiant section and a convection section. Burners are fired in                                 natural-draft. This means that no combustion air blower is used.
                   the radiant section to heat the tubes. Fluids flow through the                                 The air is inspirated into the furnace by the suction created by
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              Acetone                                 Various                       Hot oil furnace                                 N/A                       0.8                           0.1
                                                                                         High-Temperature Applications
              Ethylene/propylene                      Thermal cracking              Pyrolysis furnace                      1900–2300                      337.9                            51.8
              Ammonia                                 Natural gas reforming         Steam hydrocarbon reformer             1500–1600                      150.5                            23.1
              Methanol                                Hydrocarbon reforming         Steam hydrocarbon                      1000–2000                       25.7                             4.0
              the hot gases rising through the combustion chamber and                                            ating conditions of the plant at any given time. In addition to
              exhausting to the atmosphere. Another unique aspect of these                                       hydrocarbons ranging up to C5, the gaseous fuels can also
              heaters is the wide range of fuels used, which are often by-                                       contain hydrogen and inerts (like CO2 or N2). The composi-
              products of the petroleum refining process. These fuels can                                        tions can range from gases containing high levels of inerts to
              contain significant amounts of hydrogen, which has a large                                         fuels containing high levels of H2. The flame characteristics
              impact on the burner design. It is also fairly common for                                          for fuels with high levels of inerts are very different than for
              multiple fuel compositions to be used, depending on the oper-                                      fuels with high levels of H2 (see Chapters 2 and 5). Add to
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Introduction 15
Q˙ f = Q˙ g + Q˙1 + Q˙ p (1.1)
                                                                  1.4 BURNERS
                                                                  The burner is the device that is used to combust the fuel with
                                                                  an oxidizer (usually air) to convert the chemical energy in the
                                                                  fuel into thermal energy. A given combustion system may
                                                                  have a single burner or many burners, depending on the size
                                                                  and type of the application. For example, in a vertical
                                                                  cylindrical furnace, one or more burners are located in the
                                                                  floor of a cylindrically shaped furnace (see Figure 1.24). The
                                                                  heat from the burner radiates in all directions and is efficiently
                                                                  absorbed by the tubes. Another type of heater geometry is                   FIGURE 1.17 Sketch (elevation view) of a horizontally
                                                                  rectangular (see Figure 1.25). This type of system is generally             mounted, vertically fired burner configuration.
                                                                  more difficult to analyze because of the multiplicity of heat
                                                                  sources and because of the interactions between the flames
                                                                  and their associated products of combustion.                                1.4.1 Competing Priorities
                                                                     There are many factors that go into the design of a burner.              There have been many changes in the traditional designs that
                                                                  This section briefly considers some of the important factors                have been used in burners, primarily because of the recent
                                                                  to be taken into account for a particular type of burner, as                interest in reducing pollutant emissions. In the past, the
                                                                  well as how these factors impact things like heat transfer and              burner designer was primarily concerned with efficiently
                                                                  pollutant emissions.                                                        combusting the fuel and transferring the energy to a heat
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              load. New and increasingly more stringent environmental                                       ble that staged combustion may produce soot in the flame,
              regulations have added the need to consider the pollutant                                     which can increase flame radiation. The actual impact of
              emissions produced by the burner. In many cases, reducing                                     staging on the heat transfer from the flame is highly depen-
              pollutant emissions and maximizing combustion efficiency                                      dent on the actual burner design.
              are at odds with each other. For example, a well-accepted                                        In the past, the challenge for the burner designer was to
              technique for reducing NOx emissions is known as staging,                                     maximize the mixing between the fuel and the oxidizer to
              where the primary flame zone is deficient in either fuel or                                   ensure complete combustion. If the fuel was difficult to burn,
              oxidizer.45 The balance of the fuel or oxidizer can be injected                               as in the case of low heating value fuels such as waste liquid
              into the burner in a secondary flame zone or, in a more                                       fuels or process gases from chemical production, the task
              extreme case, can be injected somewhere else in the combus-                                   could be very challenging. Now, the burner designer must
              tion chamber. Staging reduces the peak temperatures in the                                    balance the mixing of the fuel and the oxidizer to maximize
              primary flame zone and also alters the chemistry in a way                                     combustion efficiency while simultaneously minimizing all
              that reduces NOx emissions because fuel-rich or fuel-lean                                     types of pollutant emissions. This is no easy task as, for exam-
              zones are less conducive to NOx formation than near-stoichi-                                  ple, NOx and CO emissions often go in opposite directions
              ometric zones (see Chapter 6). NOx emissions increase rap-                                    (see Figure 1.26). When CO is low, NOx may be high, and
              idly with the exhaust product temperature (see Figure 6.5).                                   vice versa. Modern burners must be environmentally friendly,
              Because thermal NOx is exponentially dependent on the gas                                     while simultaneously efficiently transferring heat to the load.
              temperature even small reductions in the peak flame tempera-
              ture can dramatically reduce NOx emissions. However, lower                                    1.4.2 Design Factors
              flame temperatures often reduce the radiant heat transfer                                     There are many types of burners designs that exist due to the
              from the flame because radiation is dependent on the fourth                                   wide variety of fuels, oxidizers, combustion chamber geo-
              power of the absolute temperature of the gases. Another                                       metries, environmental regulations, thermal input sizes, and
              potential problem with staging is that it may increase CO                                     heat transfer requirements. Additionally, heat transfer
              emissions, which is an indication of incomplete combustion                                    requirements include things like flame temperature, flame
              and reduced combustion efficiency. However, it is also possi-                                 momentum, and heat distribution. Garg (1989) lists the
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Introduction 17
                   following burner specifications that are needed to properly                position, flame dimensions, ignition type, atomization media
                   choose a burner for a given application: burner type, heat                 for liquid fuel firing, noise, NOx emission rate, and whether
                   release and turndown, air supply (natural draft, forced draft,             waste gas firing will be used.46 Some of these design factors
               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   or balanced draft), excess air level, fuel composition(s), firing          are briefly considered next.
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              1.4.2.1 Fuel                                                            The fuel choice has an important influence on the heat
                                                                                   transfer from a flame. In general, solid fuels like coal and
              Depending on many factors, certain types of fuels are pre-
                                                                                   liquid fuels like oil produce very luminous flames which
              ferred for certain geographic locations due to cost and avail-
                                                                                   contain soot particles that radiate like blackbodies to the heat
              ability considerations. Gaseous fuels, particularly natural
                                                                                   load. Gaseous fuels like natural gas often produce nonlumi-
              gas, are commonly used in most industrial heating applica-
                                                                                   nous flames because they burn so cleanly and completely
              tions in the United States. In Europe, natural gas is also com-
                                                                                   without producing soot particles. A fuel like hydrogen is
              monly used along with light fuel oil. In Asia and South
                                                                                   completely nonluminous as there is no carbon available to
              America, heavy fuel oils are generally preferred, although the
                                                                                   produce soot.
              use of gaseous fuels is on the rise.
                                                                                      In cases where highly radiant flames are required, a lumi-
                 Fuels also vary depending on the application. For example,        nous flame is preferred. In cases where convection heat trans-
              in incineration processes, waste fuels are commonly used             fer is preferred, a nonluminous flame may be preferred in
              either by themselves or with other fuels like natural gas. In        order to minimize the possibility of contaminating the heat
              the petrochemical industry, fuel gases often consist of a blend      load with soot particles from a luminous flame. Where nat-
              of several fuels, including gases like hydrogen, methane, pro-       ural gas is the preferred fuel and highly radiant flames are
                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              pane, butane, propylene, nitrogen, and carbon dioxide.               desired, new technologies are being developed to produce
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Introduction 19
                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 1.21 Crude unit burners.
                   more luminous flames. These include things like pyrolyzing               fuels simultaneously. Another application where multiple fuels
                   the fuel in a partial oxidation process,47 using a plasma to             may be used is in waste incineration. One method of disposing
                   produce soot in the fuel,48 and generally controlling the mix-           of waste liquids contaminated with hydrocarbons is to combust
                   ing of the fuel and oxidizer to produce fuel-rich flame zones            them by direct injection through a burner. The waste liquids
                   that generate soot particles.49                                          are fed through the burner, which is powered by a traditional
                      Therefore, the fuel itself has a significant impact on the            fuel such as natural gas or oil. The waste liquids often have
                   heat transfer mechanisms between the flame and the load. In              very low heating values and are difficult to combust without
                   most cases, the fuel choice is dictated by the customer as part          auxiliary fuel. This further complicates the burner design,
                   of the specifications for the system and is not chosen by the            wherein the waste liquid must be vaporized and combusted
                   burner designer. The designer must make the best of whatever             concurrently with the normal fuel used in the burner.
                   fuel has been selected. In most cases, the burner design is
                   optimized based on the choice of fuel.                                   1.4.2.2 Oxidizer
                      In some cases, the burner may have more than one type of              The predominant oxidizer used in most industrial heating
                   fuel. An example is shown in Figure 1.27.50 Dual-fuel burners            processes is atmospheric air. This can present challenges in
                   are designed to operate typically on either gaseous or liquid            some applications where highly accurate control is required
                   fuels. These burners are used, usually for economic reasons,             due to the daily variations in the barometric pressure and
                   where the customer may need to switch between a gaseous fuel             humidity of ambient air. The combustion air is sometimes
                   like natural gas and a liquid fuel like oil. These burners nor-          preheated to increase the overall thermal efficiency of a pro-
                   mally operate on one fuel or the other, and sometimes on both            cess. Combustion air is also sometimes blended with some of
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--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              the products of combustion, a process usually referred to as       flame temperatures resulting in reduced NOx emissions,
              flue gas recirculation (FGR).                                      because NOx emissions are highly temperature dependent.
                 FGR is used to both increase thermal efficiency and reduce
              NOx emissions. Capturing some of the energy in the exhaust         1.4.2.3 Gas Recirculation
              gases and using it to preheat the incoming combustion oxi-         A common technique used in combustion systems is to
              dizer increases thermal efficiency. FGR also reduces peak          design the burner to induce furnace gases to be drawn into
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Introduction 21
                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                            in a narrower heater, (b) two rows of staggered burners in a
                   increase the convective heating from the flame because of the            slightly wider heater, and (c) two rows of aligned burners in
                   added gas volume and momentum. An example of furnace                     an even wider heater.
                   gas recirculation into the burner is shown in Figure 6.12.
                   1.4.3 General Burner Types                                               of the premixed type. Premixed burners often produce shorter
                   There are numerous ways that burners can be classified. Some             and more intense flames, compared to diffusion flames. This
                   of the common ones are discussed in this section, along with a           can produce high-temperature regions in the flame, leading to
                   brief description of implications for heat transfer.                     nonuniform heating of the load and higher NOx emissions.
                                                                                               In diffusion-mixed flames, the fuel and the oxidizer are sep-
                   1.4.3.1 Mixing Type                                                      arated and unmixed prior to combustion, which begins where
                   One common method for classifying burners is according to                the oxidizer/fuel mixture is within the flammability range. An
                   how the fuel and the oxidizer are mixed. In premixed burners,            example of a diffusion flame is a candle (see Figure 1.31). A
                   shown in a cartoon in Figure 1.29 and schematically in                   diffusion-mixed gas burner, shown schematically in Figure
                   Figure 1.30, the fuel and the oxidizer are completely mixed              1.32, is sometimes referred to as a “raw gas” burner because
                   before combustion begins. Radiant wall burners are usually               the fuel gas exits the burner essentially as raw gas, having no
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FIGURE 1.26 Adiabatic equilibrium NO and CO as a function of the equivalence ratio for an air/CH4 flame.
Introduction 23
                   Figure 1.36 and schematically in Figure 1.37. Secondary and              plant. Burners often need to be able to fire multiple fuels that
                   sometimes tertiary injectors in the burner are used to inject a          may be produced by the plant, depending on the process con-
                   portion of the fuel and/or the air into the flame, downstream            ditions and on start-up vs. normal operation. These gaseous
                   of the root of the flame. Staging is often done to reduce NOx            fuels often have significant amounts of methane, hydrogen,
                   emissions and to produce longer flames. These longer flames              and higher hydrocarbons (e.g., propane and propylene). They
                   typically have a lower peak flame temperature and more uni-              may also contain inerts such as CO2 and N2. The heating
                   form heat flux distribution than non-staged flames.
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 1.31 Painting of a diffusion flame by Georges de LaTour. (Courtesy of the Los Angeles County Museum of Art.)
Introduction 25
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                   FIGURE 1.35 Schematic of a typical staged air combination oil and gas buner.
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                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 1.37 Schematic of a typical staged fuel gas burner.
              1.4.3.3 Combustion Air Temperature                                   in the combustor. A schematic is shown in Figure 1.38, and
              One common way of classifying the oxidizer is by its temp-           an example is shown in Figure 1.39. In this type of burner,
              erature. It is common in many industrial applications to             the pressure drop and combustor stack height are critical in
              recover heat from the exhaust gases by preheating the                producing enough suction to induce enough combustion air
              incoming combustion air, either with a recuperator or a              into the burners. This type of burner is commonly used in the
              regenerator. Such a burner is often referred to as a preheated       chemical and petrochemical industries in fluid heaters. The
              air burner.                                                          main consequence of the draft type on heat transfer is that the
                                                                                   natural-draft flames are usually longer than the forced-draft
              1.4.3.4 Draft Type                                                   flames so that the heat flux from the flame is distributed over
              Most industrial burners are known as forced-draft or mechan-         a longer distance and the peak temperature in the flame is
              ical-draft burners. This means that the oxidizer is supplied to      often lower.
              the burner under pressure. For example, in a forced-draft air
              burner, the air used for combustion is supplied to the burner        1.4.3.5 Location
              by a blower. In natural-draft burners, the air used for combus-      Process burners are often classified by their location in the
              tion is induced into the burner by the negative draft produced       furnace or heater. Floor or hearth burners are located in the
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Introduction 27
SECONDARY AIR
PRIMARY AIR
                                                                      1.2 CONCLUSIONS
                                                                      This book considers all aspects of combustion, with particu-
                                                                      lar emphasis on applications in the process industries includ-
                                                                      ing the petrochemical, hydrocarbon, power generation, and
                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                      thermal oxidation industries. The fundamentals of combus-
                                                                      tion, heat transfer, and fluid flow are discussed from a more
                                                                      applied approach. Many other aspects of combustion, such as
                                                                      fuel composition, pollutant emissions, noise, safety, and con-
              FIGURE 1.40 Flames impinging on tubes in a cabin
              heater.                                                 trol, are also discussed. Topics of specific interest to burners
                                                                      are also treated including design, testing, installation, mainte-
                                                                      nance, and troubleshooting. There are also very detailed con-
                                                                      siderations of process burners, flares, boiler burners, duct
                                                                      burners, and thermal oxidizers. Many of these topics have
                                                                      never been adequately covered in other combustion books.
                                                                      The extensive use of color illustrations further enhances the
                                                                      usefulness of this book as an essential tool for the combus-
                                                                      tion engineer.
REFERENCES
Introduction 29
                                                                       9. S.R. Turns, An Introduction to Combustion, McGraw-Hill,            29. H. Futami, R. Hashimoto, and H. Uchida,
                                                                          New York, 1996.                                                        Development of new catalyst and heat-transfer design
                                                                                                                                                 method for steam reformer, J. Fuel Soc. Japan,
                     10. Y.I. Khavkin, Combustion System Design: A New
                                                                                                                                                 68(743), 236-243, 1989.
                         Approach, PennWell Books, Tulsa, OK, 1996.
                                                                                                                                             30. H. Gunardson, Industrial Gases in Petrochemical
                     11. J. Griswold, Fuels, Combustion and Furnaces,
                                                                                                                                                 Processing, Marcel Dekker, New York, 1998.
                         McGraw-Hill, New York, 1946.
                                                                                                                                             31. J.D. Fleshman, FW hydrogen production, in Handbook of
                     12. A. Stambuleanu, Flame Combustion Processes in
                                                                                                                                                 Petroleum Refining Processes, 2nd edition, R.A. Myers,
                         Industry, Abacus Press, Tunbridge Wells, U.K., 1976.
                                                                                                                                                 Ed., McGraw-Hill, New York, 1996, chap. 6.2.
                     13. E. Perthuis, La Combustion Industrielle, Éditions
                                                                                                                                             32. J.S. Plotkin and A.B. Swanson, New technologies key
                         Technip, Paris, 1983.
                                                                                                                                                 to revamping petrochemicals, Oil & Gas J., 97(50),
                     14. E.L. Keating, Applied Combustion, Marcel Dekker,                                                                        108-114, 1999.
                         New York, 1993.
                                                                                                                                             33. D.Q. Kern, Process Heat Transfer, McGraw-Hill, New
                     15. G. Borman and K. Ragland, Combustion Engineering,                                                                       York, 1950.
                         McGraw-Hill, New York, 1998.
                                                                                                                                             34. N.P. Lieberman, Troubleshooting Process Operations,
                     16. C.G. Segeler, Ed., Gas Engineers Handbook, Industrial                                                                   PennWell Books, Tulsa, OK, 1991.
                         Press, New York, 1965.
                                                                                                                                             35. H.S. Bell and L. Lowy, Equipment, in Petroleum
                     17. R.D. Reed, Furnace Operations, 3rd edition, Gulf                                                                        Processing Handbook, W.F. Bland and R.L. Davidson,
                         Publishing, Houston, TX, 1981.                                                                                          Eds., McGraw-Hill, New York, 1967, chap. 4.
                     18. R. Pritchard, J.J. Guy, and N.E. Connor, Handbook of                                                                36. E.B. Sanderford, Alternative Control Techniques
                         Industrial Gas Utilization, Van Nostrand Reinhold,                                                                      Document — NOx Emissions from Process Heaters, U.S.
                         New York, 1977.                                                                                                         Envir. Protection Agency Report EPA-453/R-93-015,
                                                                                                                                                 February, 1993.
                     19. R.J. Reed, North American Combustion Handbook, 3rd
                         edition, Vol. I, North American Mfg. Co., Cleveland,                                                                37. L.A. Thrash, Annual Refining Survey, Oil & Gas J.,
                         OH, 1986.                                                                                                               89(11), 86-105, 1991.
                     20. IHEA, Combustion Technology Manual, 5th edition,                                                                    38. S.A. Shareef, C.L. Anderson, and L.E. Keller, Fired
                         Industrial Heating Equipment Assoc., Arlington, VA,                                                                     Heaters: Nitrogen Oxides Emissions and Controls,
                         1994.                                                                                                                   U.S. Environmental Protection Agency, Research
                                                                                                                                                 Triangle Park, NC, EPA Contract No. 68-02-4286,
                     21. R.O. Anderson, Fundamentals of the Petroleum
                                                                                                                                                 June 1988.
                         Industry, University of Oklahoma Press, Norman, OK,
                         1984.                                                                                                               39. H.L. Berman, Fired heaters. II: Construction materials,
                                                                                                                                                 mechanical features, performance monitoring, in Process
                     22. W.L. Leffler, Petroleum Refining for the Nontechnical
                                                                                                                                                 Heat Exchange, V. Cavaseno, Ed., McGraw-Hill, New
                         Person, PennWell Books, Tulsa, OK, 1985.
                                                                                                                                                 York, 1979, 293-302.
                     23. J.H. Gary and G.E. Handwerk, Petroleum Refining:
                                                                                                                                             40. A.J. Johnson and G.H. Auth, Fuels and Combustion
                         Technology and Economics, 3rd edition, Marcel
                                                                                                                                                 Handbook, 1st edition, McGraw-Hill, New York, 1951.
                         Dekker, New York, 1994.
                                                                                                                                             41. H.L. Berman, Fired heaters. I: Finding the basic
                     24. R.A. Meyers, Handbook of Petroleum Refining
                                                                                                                                                 design for your application, in Process Heat
                         Processes, 2nd edition, McGraw-Hill, New York, 1997.
                                                                                                                                                 Exchange, V. Cavaseno, Ed., McGraw-Hill, New York,
                     25. W.L. Nelson, Petroleum Refinery Engineering, 2nd                                                                        1979, 287-292.
                         edition, McGraw-Hill, New York, 1941.
                                                                                                                                             42. V. Ganapathy, Applied Heat Transfer, PennWell Books,
                     26. G.R. Martin, Heat-flux imbalances in fired heaters                                                                      Tulsa, OK, 1982.
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                45. J.L. Reese, G.L. Moilanen, R. Borkowicz, C. Baukal,                                          48. R. Ruiz and J.C. Hilliard, Luminosity enhancement of
                    D. Czerniak, and R. Batten, State-of-the-art of NOx                                              natural gas flames, Proc. of 1989 Int. Gas Research
                    emission control technology, ASME Paper 94-JPGC-                                                 Conf., T.L. Cramer, Ed., Government Institutes,
                    EC-15, Proc. of Int. Joint Power Generation Conf.,                                               Rockville, MD, 1990, 1345-1353.
                    Phoenix, October 3-5, 1994.                                                                  49. A.G. Slavejkov, T.M. Gosling, and R.E. Knorr, Low-
                46. A. Garg, Better burner specifications, Hydrocarbon                                               NOx Staged Combustion Device for Controlled
                    Processing, 68(8), 71-72, 1989.                                                                  Radiative Heating in High Temperature Furnaces, U.S.
                47. M.L. Joshi, M.E. Tester, G.C. Neff, and S.K. Panahi,                                             Patent 5,611,682, March 18, 1997.
                    Flame particle seeding with oxygen enrichment for                                            50. API Publication 535: Burner for Fired Heaters in
                    NOx reduction and increased efficiency, Glass, 68(6),                                            General Refinery Services, 1st edition, American
                    212-213, 1990.                                                                                   Petroleum Institute, Washington, D.C., July 1995.
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Chapter 2
                                        Fundamentals
                                                                                                                           Joseph Colannino and Charles E. Baukal, Jr.
                                                                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        TABLE OF CONTENTS
                                               2.1         Introduction............................................................................................................................................... 34
                                               2.2         Uses for Combustion................................................................................................................................. 34
                                               2.3         Brief Overview of Combustion Equipment and Heat Transfer................................................................. 34
                                               2.4         Net Combustion Chemistry of Hydrocarbons........................................................................................... 34
                                               2.5         Conservation of Mass................................................................................................................................ 35
                                               2.6         The Ideal Gas Law .................................................................................................................................... 35
                                               2.7         Stoichiometric Ratio and Excess Air ........................................................................................................ 38
                                                            2.7.1       Heat of Combustion .................................................................................................................... 38
                                                            2.7.2       Adiabatic Flame Temperature..................................................................................................... 46
                                               2.8         Substoichiometric Combustion ................................................................................................................. 46
                                               2.9         Equilibrium and Thermodynamics............................................................................................................ 47
                                             2.10          Substoichiometric Combustion Revisited ................................................................................................. 47
                                             2.11          General Discussion ................................................................................................................................... 54
                                                            2.11.1 Air Preheat Effects ...................................................................................................................... 55
                                                            2.11.2 Fuel Blend Effects....................................................................................................................... 57
                                             2.12          Combustion Kinetics................................................................................................................................. 60
                                                            2.12.1 Thermal NOx Formation: A Kinetic Example............................................................................ 60
                                                            2.12.2 Reaction Rate .............................................................................................................................. 60
                                                            2.12.3 Prompt-NOx Formation .............................................................................................................. 61
                                                            2.12.4 The Fuel-Bound NOx Mechanism.............................................................................................. 61
                                             2.13          Flame Properties ....................................................................................................................................... 61
                                                            2.13.1 Flame Temperature ..................................................................................................................... 61
                                                            2.13.2 Available Heat............................................................................................................................. 64
                                                            2.13.3 Minimum Ignition Energy .......................................................................................................... 64
                                                            2.13.4 Flammability Limits ................................................................................................................... 64
                                                            2.13.5 Flammability Limits for Gas Mixtures ....................................................................................... 66
                                                            2.13.6 Flame Speeds .............................................................................................................................. 67
                                        References .................................................................................................................................................................. 67
                                                                                                                               33
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              2.1 INTRODUCTION                                                                                     Most large boilers have water in the tubes and fire outside
              Combustion is the controlled release of heat from the chemical                                    — called water-tube boilers. Fire-tube boilers put the fire and
              reaction between a fuel and an oxidizer. The fuels in the                                         hot gases in tubes surrounded by water. This system is appli-
              refining, petrochemical, and power generation industries are                                      cable to smaller, unattended boilers.
              almost exclusively hydrocarbons. Hydrocarbons comprise                                               Process heaters are akin to water-tube boilers, but with some
              only hydrogen (H) and carbon (C) in their molecular structure.                                    very important differences. First, process heaters contain a pro-
              Natural gas and fuel oil are examples of hydrocarbon fuels.                                       cess fluid in the tubes, rather than water. The process fluid is
              Other fuels are described later in this chapter and in Chapter 5.                                 usually a hydrocarbon, for example, crude oil. Process heaters
                                                                                                                come in two main varieties: vertical cylindrical (VC) and cabin
                                                                                                                style (see Chapter 1). VCs comprise a cylindrical flame zone
              2.2 USES FOR COMBUSTION                                                                           surrounded by process tubes. Cabin-style heaters are rectangu-
                                                                                                                lar with wall and roof tubes (see Figure 2.1). The radiant section
              Combustion is used either directly or indirectly to produce
                                                                                                                comprises the space surrounded by tubes having a direct view
              virtually every product in common use. To name a few,
                                                                                                                of the flame. Most process heaters also have a convective sec-
              combustion processes produce and refine fuel, generate
                                                                                                                tion comprised of overhead tubes that cannot directly view the
              electricity, prepare foods and pharmaceuticals, and transport
                                                                                                                flame. Convective tubes receive their heat from the direct con-
              goods. Fire has transformed humankind and separated it from
                                                                                                                tact of the combustion gases. The transition from the radiant
              the beasts, illumined nations, and safeguarded generations. It
                                                                                                                to convective sections is known as the bridgewall. Chapters 1
              has been used in war and peace, to tear down and build up; it
                                                                                                                and 15 contain more detailed discussion of process heaters.
              is both feared and respected. It is a most powerful tool and
                                                                                                                   Reactors such as cracking furnaces and reforming furnaces
              worthy of study and understanding.
                                                                                                                are more extreme versions of process heaters. Here, the pro-
                                                                                                                cess fluid undergoes chemical transformations to a different
                                                                                                                substance. For example, in an ethylene cracking furnace, liq-
              2.3 BRIEF OVERVIEW OF                                                                             uid or gas feedstock transforms to ethylene (C2H4), an inter-
                  COMBUSTION EQUIPMENT AND                                                                      mediate in the production of polyethylene and other plastics.
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                  HEAT TRANSFER                                                                                 There are many specialized types of reactors using combus-
              In the process industries, combustion powers gas turbines,                                        tion as the heat source.
              process heaters, reactors, and boilers. The burner combusts
              fuel and generates products of combustion and heat. A
              firebox contains the flame envelope. The fire heats water in                                      2.4 NET COMBUSTION CHEMISTRY
              the tubes to boiling. The steam rises to a steam drum that                                            OF HYDROCARBONS
              separates the liquid and vapor phases, returning water to the                                     Consider the combustion of methane (CH4) and air. CH4 is
              tubes and passing steam. The steam may be further heated in                                       the major component of natural gas. The combustion of CH4
              a superheater. Superheaters raise the temperature of the                                          produces carbon dioxide (CO2) and water vapor (H2O).
              steam above the boiling point, using either radiant and/or                                        Equation 2.1 summarizes the net reaction.
              convective heat transfer mechanisms.
                 Radiant heat transfer requires a line-of-sight to the flame.                                                             CH 4 + 2O 2 → CO 2 + 2H 2 O                       (2.1)
              Only this heat transfer mechanism can operate in a vacuum.
              For example, the Earth receives essentially all its heat from                                     Equation (2.1) is the stoichiometric equation. It gives the
              the sun through this mechanism. Convection requires the bulk                                      relative proportions of every element (e.g., C, H, and O) in
              movement of a hot fluid. In a boiler, hot combustion gases                                        each molecule, and the relative proportions of each molecule
              transfer heat to the outer tube wall via convection. Convection                                   (e.g., CH4, O2, CO2, and H2O) in the reaction. A molecule is
              occurs naturally by means of buoyancy differences between                                         the smallest collection of chemically bound atoms that define
              hot and cool fluids — termed natural convection, or by motive                                     a substance. An atom is the smallest building block of a
              devices such as fans or blowers — termed forced convection.                                       molecule having a unique chemical identity. The arrow
              Heat transfers from the outer to inner tube wall by conduction                                    shows the direction of the reaction. Species to the left of the
              — the predominant heat transfer mode through metals. Inside                                       arrow are the reactants; those to the right are products.
              the tube, convection is the predominant mode of heat transfer                                        In a stoichiometric equation, the subscripted numbers define
              to the inside fluid. A more complete discussion of heat trans-                                    the proportions of elements in a molecule. Equation (2.1)
              fer is given in Chapter 3.                                                                        shows that the methane molecule comprises four hydrogen
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Fundamentals 35
              g – geological specimens are known in which the element has an isotopic composition outside the limits for normal material. The difference between the
                  atomic weight of the element in such specimens and that given in the table may exceed the stated uncertainty.
              m – modified isotopic compositions may be found in commercially available material because it has been subjected to an undisclosed or inadvertent isotopic
                  fractionation. Substantial deviations in atomic weight of the element from that given the table can occur.
              r – range in isotopic composition of normal terrestrial material prevents a more precise atomic weight being given; the tabulated atomic weight value should
                  be applicable to any normal material.
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Fundamentals 37
                   TABLE 2.1 (continued) Alphabetical List of Atomic Weights for Common Elements
                   This table of atomic weights is reprinted from the 1995 report of the IUPAC Commission on Atomic Weights and Isotopic Abundances. The Standard Atomic
                   Weights apply to the elements as they exist naturally on Earth, and the uncertainties take into account the isotopic variation found in most laboratory samples.
                   Further comments on the variability are given in the footnotes.
                   The number in parentheses following the atomic weight value gives the uncertainty in the last digit. An entry in brackets indicates that mass number of the
                   longest-lived isotope of an element that has no stable isotopes and for which a Standard Atomic Weight cannot be defined because of wide variability in isotopic
                   composition (or complete absence) in nature.
                                                                                  REFERENCE
                   IUPAC Commission on Atomic Weights and Isotopic Abundances, Atomic Weights of the Elements, 1995, Pure Appl. Chem., 68, 2339, 1996.
                   Source: Courtesy of CRC Press.1
                                                                 PV = nRT                  (2.2)          TABLE 2.2 Molar Ratios for Some Combustion Reactions
                                                                                                          and Products
                    where P                  =    Pressure of the gas, psia                                               Reaction                          Moles Reactants         Moles Products
                          V                  =    Volume of the gas, ft3                                  H2 + 0.5 O2 → H2O                                          1.5                   1.0
                          n                  =    Number of moles                                         CO + 0.5 O2 → CO2                                          1.5                   1.0
                          R                  =    Gas constant = 10.73 psia-ft3/lbmol-°R                  CH4 + 2 O2 → CO2 + 2 H2O                                   3.0                   3.0
                                                                                                          C2H2 + 3 O2 → 2 CO2 + H2O                                  2.5                   3.0
                          T                  =    Absolute temperature, °R                                C3H8 + 5 O2 → 3 CO2 + 4 H2O                                6.0                   7.0
                                                                                                          C4H10 + 6.5 O2 → 4 CO2 + 5 H2O                             8.5                   9.0
                    Degrees Rankine (°R) are defined as the number of
                                                                                                          Note: Most combustion reactions do not conserve moles.
                    Fahrenheit degrees above absolute zero, the coldest possible
                    theoretical temperature. Equation (2.2) shows that gas                               TABLE 2.3 Molecular Weights and Stoichiometric
                    volume and moles are directly proportional.                                          Coefficients for Common Gaseous Fuels
                       Another useful form of the ideal gas law is:                                                                                    Molecular             O2     CO2     H 2O
                                                                                                          Common Name               Formula             Weight             (moles) (moles) (moles)
                                                                 PM = ρRT                  (2.3)         Hydrogen                     H2                   2.02               0.5    0.0         1.0
                                                                                                         Carbon monoxide              CO                  28.01               0.5    1.0         0.0
                    where ρ = Density of the gas, lb/ft3                                                 Methane                      CH4                 16.05               2.0    1.0         2.0
                          M = Molecular weight of the gas, lb/lbmol                                      Ethane                       C2H6                30.08               5.0    2.0         3.0
                                                                                                         Ethene, ethylene             C2H4                28.06               4.0    2.0         2.0
                                                                                                         Acetylene, ethyne            C2H2                26.04               3.0    2.0         1.0
                       Several units need further explanation. Molecular weights,                        Propane                      C3H8                44.11               7.0    3.0         4.0
                    whether given in g/mol, lb/lbmol, or tons/ton-mole, all have                         Propene,
                    identical magnitude. That is, CH4 has a molecular weight of                           propylene                   C3H6                42.09               6.0    3.0         3.0
                                                                                                         Butane                       C4H10               58.14               7.0    4.0         5.0
                    16.05 g/mol or 16.05 lb/lbmol. Because absolute zero is                              Butene, butylene             C4H8                56.12               8.0    4.0         4.0
                    –459.67°F, to convert °F to °R, add 459.67. For example,                             Generic
                    70°F ≈ 530°R. Finally, psia is defined as pounds force per                            hydrocarbon                 CxHy         12.01 x + 1.01 y x + y/2           x          y/2
                    square inch, absolute. Normal atmospheric pressure is
                    14.7 psia. However, pressure gauges read “0” at atmospheric
                    pressure, denoted 0 psig — pounds force per square inch,                              Example 2.1
                    gauge. Therefore, to convert from psig to psia, add local                             From Equation (2.2),
                    atmospheric pressure. For example, 35 psig ≈ 50 psia. Note
                                                                                                                  PV               (30 + 14.7)[ psia] ∗ 1000[ft 3 ]
                    that atmospheric pressure varies with elevation. For example,                          n=        =                                                              = 7.86 lbmol
                                                                                                                  RT              psia ft 3 
                                                                                                                                              ∗ ( 459.7 + 70)[°R]
                    the normal atmospheric pressure in Denver (elevation ~5000                                              10.73
                    ft) is only 12.3 psia. Thus, a gauge reading of 35 psig in                                                    lbmol °R 
                    Denver equates only to about 47 psia. One must take into                              From Equation (2.3) obtain
                    a c c o u n t e l eva t i o n w h e n p e r f o r m i n g c o m bu s t i o n
                    calculations.                                                                                          PM           (30 + 14.7)[ psia ] ∗ 16.05[lb lbmol]
                                                                                                                    ρ=        =
                       An example best reinforces these points. A 1000 ft3 vessel                                          RT               psia ft 3 
                    contains methane at 30 psig at 70°F. How many lbmol of                                                            10.73            ∗ ( 459.7 + 70)[°R ]
                                                                                                                                            lbmol °R 
                    methane does the vessel contain? What is the gas density?
                                                                                                                        = 0.126 lb/ft 3
               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              Finally, multiply the density by the volume to obtain the                        total wet products:                      TWP = A F + x 4                      (2.9)
              weight of gas, m = ρV = 0.126 lb/ft3 ∗ 1000 ft3 = 126 lb.
                                                                                               total dry products:                      TDP = A F − x 4                     (2.10)
              2.7 STOICHIOMETRIC RATIO AND                                                        In situ analyzers measure the flue gas species in the actual
                  EXCESS AIR                                                                   hot wet environment. In contrast, extractive analyzers remove
              The stoichiometric coefficient for oxygen identifies the                         the flue gas, condense the water, and measure the concentra-
              theoretical oxygen required for combustion. To find the                          tion of the flue gas species in the dry gas. Therefore, two sets
              theoretical air comprising this amount of oxygen, it is                          of equations are needed for wet and dry measurements.
              necessary to define a mole of air as 0.21 lbmol O2 +
                                                                                                fO2 ,wet = ε(1 + x 4) TWP                       fO2 ,dry = ε(1 + x 4) TDP (2.11)
              0.79 lbmol N2. Accordingly, Equation (2.1) is modified to
              account for air [in brackets]:
              Equation (2.4) is theoretical in that it presumes that all the                     fN2 ,dry = 79 21 (1 + ε ) (1 + x 4) TDP                                    (2.13)
              oxygen and fuel react and that nitrogen does not. Actually,
              trace amounts of nitrogen will react with oxygen to form
              nitrogen oxides (NOx). Although important in other contexts,                      fH2O,wet = x (2 TWP)                                                        (2.14)
              the amount of reacting nitrogen is too small to consider here.
              In industrial practice, perfect mixing cannot be achieved. It is                 where f is the mole or volume fraction of the subscripted
              actually more cost-effective to ensure complete combustion                       species, 0 < f < 1, and the subscripts wet or dry refer to in situ or
              with the addition of excess air. Excess air is that amount                       extractive measurements, respectively. Because of the strong
              beyond theoretical added to ensure complete combustion of                        relationship between oxygen and excess air, the excess
              the fuel. To account for excess air, Equation (2.4) is modified                  oxygen can be used as a measure of excess air. For this
              with ε, the fraction of excess air.                                              purpose, it is usually easier to recast the equations for oxygen
                                                                                               in the following forms:
                                     CH 4 + 2(1 + ε )[O 2 + 79 21 N 2 ] →
                                                                                    (2.5)                       0.21ε                                       0.21ε
                                                                                                fO2 ,wet =                                   fO2 ,dry =                     (2.15)
                             CO 2 + 2 H 2 O + 2ε O 2 + 2(1 + ε )(79 21) N 2                                    K wet + ε                                   K dry + ε
                                                                                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              equation for hydrocarbons with air.
                           CH x + (1 + ε )(1 + x 4)[O 2 + 79 21 N 2 ] →                        The equations are displayed graphically in Figure 2.2a–f for
                                                                                               various fuels on a wet and dry basis.
                                    CO 2 + x 2 H 2 O + ε(1 + x 4) O 2               (2.6)
Fundamentals 39
                                                                                                                                                                      FIGURE 2.2 Species concentration vs. excess air for the following fuels: (a) CH4, (b) natural gas, (c) simulated refinery gas (25% H2, 50%
                                                                                                                                                  A
                                                                                                                                                 	
 
CH4, 25% C3H8), (d) C3H8, (e) No. 2 oil, and (f) No. 6 oil.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                             	
 
 
                                                                                                                                                                   A
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Fundamentals 41
                                                                                                                                            	
 
   	     
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
A
                                                                                                                                      A
                                                                                                                                  	
 
                                                                                                                                                          FIGURE 2.2 (continued)
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Fundamentals 43
                                                                                                                                 	
 
 
 
                                                                                                                                      A
                                                                                                                               	
 
  
                                                                                                                                    A
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                  FIGURE 2.2 (continued)
Fundamentals 45
                                                                                               Paraffins or Alkanes
                  Methane                        CH 4                 23875        17.195         1.1                    3484                    1301                         Gas      5.0      15.0
                  Ethane                         C 2H 6               22323        15.899         1.3                    3540                  968–1166                       Gas      3.0      12.5
                  Propane                        C 3H 8               21669        15.246         1.3                    3573                     871                         Gas      2.1      10.1
                  n-Butane                       C4H10                21321        14.984         1.2                    3583                     761                         –76      1.86      8.41
                  iso-Butane                     C4H10                21271        14.984         1.2                    3583                     864                        –117      1.80      8.44
                  n-Pentane                      C5H12                21095        15.323         1.3                    4050                       588                     < –40      1.40       7.80
                  iso-Pentane                    C5H12                21047        15.323         1.2                    4055                       788                     < –60      1.32       9.16
                  Neopentane                     C5H12                20978        15.323         1.1                    4060                       842                       Gas      1.38       7.22
                  n-Hexane                       C6H14                20966        15.238         1.3                    4030                       478                        –7      1.25       7.0
                  Neohexane                      C6H14                20931        15.238         1.2                    4055                       797                       –54      1.19       7.58
                                                                                                Olefins or Alkenes
                  Ethylene                       C 2H 4               21636        14.807         2.2                    4250                       914                       Gas      2.75     28.6
                  Propylene                      C 3H 6               21048        14.807         1.4                    4090                       856                       Gas      2.00     11.1
                  Butylene                       C 4H 8               20854        14.807         1.4                    4030                       829                       Gas      1.98      9.65
                  iso-Butene                     C 4H 8               20737        14.807         1.2                     —                         869                       Gas      1.8       9.0
                  n-Pentene                      C5H10                20720        14.807         1.4                    4165                       569                        —       1.65      7.70
                                                                                                    Aromatics
                  Benzene                        C 6H 6               18184        13.297         1.3                    4110                     1044                          12     1.35       6.65
                  Toluene                        C 7H 8               18501        13.503         1.2                    4050                      997                          40     1.27       6.75
                  p-Xylene                       C8H10                18663        13.663         —                      4010                      867                          63     1.00       6.00
                                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                               Other Hydrocarbons
                  Acetylene                      C 2H 2               21502        13.297         4.6                    4770                   763–824                       Gas      2.50     81
                  Naphthalene                    C10H8                17303        12.932         —                      4100                     959                         174      0.90      5.9
                  Note: Based largely on: “Gas Engineers’ Handbook”, American Gas Association, Inc., Industrial Press, 1967. For heating value in J kg–1, multiply the value
                  in Btu lbm–1 by 2324. For flame speed in m s–1, multiply the value in ft s–1 by 0.3048.
                                                                                      REFERENCES
                  American Institute of Physics Handbook, 2nd ed., D.E. Gray, Ed., McGraw-Hill Book Company, 1963.
                  Chemical Engineers’ Handbook, 4th ed., R.H. Perry, C.H. Chilton, and S.D. Kirkpatrick, Eds., McGraw-Hill Book Company, 1963.
                  Handbook of Chemistry and Physics, 53rd ed., R.C. Weast, Ed., The Chemical Rubber Company, 1972; gives the heat of combustion of 500 organic compounds.
                  Handbook of Laboratory Safety, 2nd ed., N.V. Steere, Ed., The Chemical Rubber Company, 1971.
                  Physical Measurements in Gas Dynamics and Combustion, Princeton University Press, 1954.
                   the difference, reconsider Equation (2.1). From Equation                                    yields the LHV. A condensing turbine is an example of the
                   (2.1), when methane burns, it produces two products: CO2                                    former process, while a typical process heater is an example
                   and H2O. The CO2 will remain a gas under all conceivable                                    of the latter. Consequently, the process industry usually
                   industrial combustion conditions. However, H2O can exist                                    uses the LHV. Boiler and turbine calculations usually use
                   as either a liquid or a vapor, depending on how much heat is                                the HHV. However, either measure can be used in combus-
                   extracted from the process. If so much heat is extracted that                               tion calculations as long as one is consistent. The inconsis-
                   the H2O condenses, then the combustion yields its HHV. If                                   tent use of LHV and HHV is a major source of error in
                   water is released from the stack as a vapor, then combustion                                combustion calculations.
              2.7.2 Adiabatic Flame Temperature                                                                               Table B-4 in the Appendix gives the total heat capacity by the
              How hot can a flame be? First, there is a difference between                                                    mass of each flue gas species. Rearranging Equation (2.17)
              heat (Q) and temperature (T). Heat is energy in transit. When                                                   for ∆T gives the following:
              a body absorbs heat, it stores it as another form of energy,                                                                                         ∆T = ∆H mC p                           (2.20)
              increasing the body’s temperature and expanding it. That is,
              the material uses some of the thermal energy to raise the                                                       Because there are several species in the flue gas, the
              temperature and some of the energy to expand the body                                                           contribution of each species must be used for mCp. That is,
              against the atmosphere. The same amount of heat absorbed in                                                     mCp = mCO2 CpCO2 + mH2O CpH2O + mO2 CpO2 + mN2 CpN2. To
              different materials will yield different temperature increases                                                  illustrate the calculation, assume that an average heat
              and expansions.                                                                                                 capacity is ~0.30 lb/MMBTU. Then the adiabatic flame
                 For example, 100 Btu of heat will raise the temperature of                                                   temperature becomes
              1 lb water by 100°F and expand the material from 62.4 ft3 to
              63.8 ft3. The same 100 Btu of heat absorbed by 1 lb air will                                                                                   Btu  lb°F   1 
                                                                                                                                      ∆T = 22, 000                                        = 3543°F
                                                                                                                                                              lb  0.30 Btu   20.7 lb 
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Fundamentals 47
                                                                                    CH x + a[O 2 + 79 21 N 2 ] →                                                    1       1 2 + β             
                                                                                                                                                                       1+  = 
                                                                                                                                                                         x                 x
                                                                                                                                                             a=                       +                                   (2.27)
                                                                                                                                                                    Φ   4  2  1 + β 2(1 + βK ) 
                                                                                 b CO + (1 − b) CO 2 + ( x − c) 2 H 2
                                                                                                                                            One could solve for Φ and substitute into Equation (2.26).
                                                                                     + c 2 H 2 O + a 79 21 N 2             (2.23)
                                                                                                                                            However, the equation is quadratic and complicated. An
                                                                   where a, x are specified and b, c are unknown having the                 easier solution is to solve for both Φ and the desired species
                                                                   relation 2a = 2 – b + c/2. The reader should note that the               using a parametric relation in β. Equation (2.28) gives the
                                                                   formulation neglects soot. Turns3 has pointed out that using an          relation for Φ:
                                                                   equilibrium calculation with the water gas shift reaction
                                                                   arrives at a good approximation for substoichiometric species.                                             ( x + 4)(1 + β)(1 + βK )
                                                                                                                                                                    Φ=                                                     (2.28)
                                                                   This is adequate for investigating the general features of                                               2(2 + β)(1 + βK ) + x (1 + β)
                                                                   substoichiometric combustion, which is done in Section 2.10.
                                                                                                                                            Solving for the species as a function of β gives the following:
                                                                                                                                                                                              FIGURE 2.3 Species concentration vs. stoichiometric ratio for the following fuels: (a) CH4, (b) natural gas, (c) simulated refinery gas (25% H2,
                                                                                                                                                                     
 .
                                                                                                                                                                           
 
                                                                                                                                                                                              50% CH4, 25% C3H8), (d) C3H8, (e) No. 2 oil, and (f) No. 6 oil.
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Fundamentals 49
                                                                                                                               
 .
                                                                                                                               
  
 
                                                                                                                                                        FIGURE 2.3 (continued)
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                             
 
  
     
                                                                                                                                                                                
 .
Fundamentals 51
                                                                                                                                
 .
                                                                                                                                    
 
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                  Stoichiometeric ratio, Φ
                                                                                                                                       (e) Fuel Oil #2
                                                                                                                                                                                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                             FIGURE 2.3 (continued)
Fundamentals 53
                                                                                                                                                                      
 .
                                                                                                                                                                         (f) 
  
                                                                                                                                                                                               FIGURE 2.3 (continued)
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 2.5 Adiabatic equilibrium calculations for the predicted gas composition as a function of the O2:CH4 stoichiometry
              for air/CH4 flames, where the air and CH4 are at ambient temperature and pressure.
              2.11            GENERAL DISCUSSION                                     proportions to make the mixture flammable. A spark is then
              In this section, the concepts discussed so far are applied to          initiated to ignite the mixture. The right box represents the
              combustion in general. Figure 2.4 shows a cartoon of an adia-          process an infinite time later to ensure all the reactions have
              batic equilibrium process. The boxes represent perfectly               gone to completion (i.e., reached equilibrium). In reality,
              insulated enclosures, which do not exist in reality but are use-       most combustion reactions are completed in only a fraction
              ful for illustrating the concept. The boxes are filled with a          of a second. Many species are then present after the reaction
              combustible mixture of a fuel and oxidizer, in this case meth-         is completed. The exact composition depends on the ratio of
              ane and air, respectively. The left box represents the process         the fuel to air. For example, if not enough air is present, then
              at the time just before a spark is applied to ignite the mixture.      CO will be generated. If sufficient air is present, then little or
              The only species in the box are CH4 and air (O2 + 3.76N2) in           no CO will be present. This is illustrated in Figure 2.5 which
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Fundamentals 55
                   FIGURE 2.6 Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the major species as
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
a function of the air preheat temperature for air/CH4 flames, where the CH4 is at ambient temperature and pressure.
                   FIGURE 2.7 Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the minor species as
                   a function of the air preheat temperature for air/CH4 flames, where the CH4 is at ambient temperature and pressure.
                   shows the predicted species for the adiabatic equilibrium              greater than 2.0 are fuel lean, as excess oxygen is present.
                   combustion of methane and air as a function of the stoichi-            This figure shows that the exhaust product composition is
                   ometry. For methane, the stoichiometric O2:CH4 ratio for the-          highly dependent on the ratio of the fuel to the oxidizer.
                   oretically perfect combustion is 2.0 as shown in Table 2.3.            2.11.1 Air Preheat Effects
                   Stoichiometries less than 2.0 are fuel rich, as insufficient           Figure 2.6 shows the major species for the predicted exhaust
                   oxygen is present to fully combust the fuel. Stoichiometries           gas composition for the stoichiometric combustion of
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              FIGURE 2.8 Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the major species as
              a function of the fuel preheat temperature for air/CH4 flames, where the air is at ambient temperature and pressure.
                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 2.9 Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the minor species as
              a function of the fuel preheat temperature for air/CH4 flames, where the air is at ambient temperature and pressure.
              methane with preheated air. There is almost no change up to        is due to chemical dissociation. Figure 2.8 shows the
              temperatures of about 1000°F (540°C), and only a relatively        predicted major species in the exhaust products for the
              small change at higher temperatures. Figure 2.7 shows the          combustion of preheated methane with ambient air. There is
              predicted minor species in the exhaust gas for the same            very little change in the species concentration with fuel
              reaction of ambient temperature methane with preheated air.        preheat. Note that higher fuel preheat temperatures present
              This graph shows that there is a dramatic increase in all the      safety problems because of the auto-ignition temperature of
              minor species as the air preheat temperature increases. This       methane, which is approximately 1200°F (650°C) in air.
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Fundamentals 57
                   FIGURE 2.10 Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the major species as
                   a function of the fuel blend (H2 + CH4) composition for air/fuel flames, where the air and fuel are at ambient temperature and
                   pressure.
                   FIGURE 2.11 Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the minor species as a
                   function of the fuel blend (H2 + CH4) composition for air/fuel flames, where the air and fuel are at ambient temperature and pressure.
                   Figure 2.9 shows that the predicted minor species                       predicted major species for the combustion of air with fuel
                   concentrations increase with fuel preheat temperature.                  blends consisting of H2 and CH4. CO2 and N2 decline and
                                                                                           H2O increases as the H2 content in the fuel increases. It is
                   2.11.2 Fuel Blend Effects                                               important to note that the species concentrations are not lin-
                   Fuel blends are particularly important in many of the hydro-            ear functions of the blend composition, where the change
                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   carbon and petrochemical industries. Figure 2.10 shows the              occurs more rapidly at higher H2 compositions. Figure 2.11 is
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              FIGURE 2.12 Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the major species as a
              function of the fuel blend (N2 + CH4) composition for air/fuel flames, where the air and fuel are at ambient temperature and pressure.
              FIGURE 2.13 Adiabatic equilibrium stoichiometric calculations for the predicted gas composition of the minor species as a
              function of the fuel blend (N2 + CH4) composition for air/fuel flames, where the air and fuel are at ambient temperature and pressure.
              a similar plot of the predicted minor species as functions of                      concentrations as the N2 content increases. Figure 2.13 shows
              the H2/CH4 fuel blend. This graph also shows strong non-                           the predicted minor species for the combustion of N2/CH4
              linearities as the H2 content increases. Figure 2.12 shows the                     fuel blends. This graph also shows a rapid decline in the spe-
              predicted major species for the combustion of air with fuel                        cies concentration, in this case for the minor species.
              blends consisting of an inert (N2) and CH4. At the extreme of                         Real combustion processes are not adiabatic, as the whole
              100% N2, there is no fuel left in the “fuel blend” and no com-                     intent is to transfer heat from the flame to some type of load.
              bustion takes place. There is a rapid change in the species                        The amount of heat lost from the process determines the
                                                                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Fundamentals 59
                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 2.14 Equilibrium calculations for the predicted gas composition of the major species as a function of the
                   combustion product temperature for air/CH4 flames, where the air and fuel are at ambient temperature and pressure.
                   FIGURE 2.15 Equilibrium calculations for the predicted gas composition of the minor species as a function of the
                   combustion product temperature for air/CH4 flames, where the air and fuel are at ambient temperature and pressure.
                   temperature of the exhaust gases. The higher the heat losses              concentration as a function of temperature. Figure 2.15 shows
                   from the flame, the lower the exhaust gas temperature.                    the predicted minor species for the combustion of air and
                   Figure 2.14 shows the predicted major species for the com-                methane as a function of the exhaust gas temperature. The
                   bustion of air and methane as a function of the exhaust gas               concentrations are essentially zero up to temperatures of
                   temperature. The peak temperature is the adiabatic flame tem-             about 2000°F (1100°C) and rapidly increase up to the adia-
                   perature. There is relatively little change in the major species          batic flame temperature.
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                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              the antecedent numbers in order to balance the net equation.
              The equals (=) operator distinguishes the elemental reactions.                                           N 2 + O = NO + N                          (2.40)
              The arrow operator (→) refers to the net results. Some
              important elemental reactions for the hydrogen-oxygen system           In turn, the nitrogen radical reacts with available oxygen as
              are as follows:                                                        follows:
                                                                                                                       N + O 2 = NO + O
                                                2[H 2 + M = 2 H + M]
                                                                                                                                                                 (2.41)
                                                                         (2.35)
O + O + M = O2 + M (2.37) N 2 + O 2 → 2 NO (2.42)
Fundamentals 61
                   flame is not known. However, Equation (2.45) does show that                                                 H2                                        3807                   2097
                   increasing the temperature, oxygen concentration, or time                                                   CH4                                       3542                   1950
                                                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                               C2H2                                      4104                   2262
                   increases NOx formation. Consequently, NOx reduction strat-                                                 C2H4                                      3790                   2088
                   egies usually attempt to reduce one or more of these factors.                                               C2H6                                      3607                   1986
                                                                                                                               C3H6                                      4725                   2061
                                                                                                                               C3H8                                      3610                   1988
                   2.12.3 Prompt-NOx Formation                                                                                 C4H10                                     3583                   1973
                   Another NOx formation mechanism is prompt NOx. This                                                         CO                                        3826                   2108
                   occurs at the flame front and is responsible for no more than
                   20 ppm NOx in refinery or natural-gas fueled equipment. The
                   mechanism can be summarized as:
              FIGURE 2.16 Adiabatic flame temperature vs. equivalence ratio for air/H2, air/CH4, and air/C3H8 flames, where the air
              and fuel are at ambient temperature and pressure.
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 2.17 Adiabatic flame temperature vs. air preheat temperature for stoichiometric air/H2, air/CH4, and air/C3H8
              flames, where the fuel is at ambient temperature and pressure.
                 Figure 2.17 shows how preheating the air in the combustion                                  shows the effect of preheating the fuel on the adiabatic flame
              of the three fuels shown dramatically increases the adiabatic                                  temperature. Again, there is a nearly linear rise in the flame
              flame temperature. The increase is nearly linear for the air                                   temperature, but the magnitude of the increase is much less
              preheat temperature range shown. Air preheating is com-                                        than for air preheating. This is due to the much larger mass
              monly done to both increase the overall system efficiency                                      of air compared to the mass of fuel in the combustion process.
              (which will be graphically shown later) and to increase the                                    Preheating the air to a given temperature requires much more
              flame temperature, especially for higher temperature heating                                   energy than preheating the fuel to that same temperature,
              and melting processes like melting metal or glass. Figure 2.18                                 because of the difference in mass.
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Fundamentals 63
                   FIGURE 2.18 Adiabatic flame temperature vs. fuel preheat temperature for stoichiometric air/H2, air/CH4 and air/C3H8
                   flames, where the air is at ambient temperature and pressure.
                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 2.19 Adiabatic flame temperature vs. fuel blend (CH4/H2 and CH4/N2) composition for stoichiometric air/fuel
                   flames, where the air and fuel are at ambient temperature and pressure.
                      Figure 2.19 shows how the flame temperature varies for fuel                 carbon and petrochemical applications for fluid heating.
                   blends of H2/CH4 and N2/CH4. The flame temperature increases                   Because such fuels are by-products of the chemical manufac-
                   as the H2 content in the blend increases. It is important to note              turing process, their use is much less expensive than purchasing
                   that the increase is not linear; the increase is more rapid at higher          H2 from an industrial gas supplier as well as being more cost-
                   levels of H2. Because of the relatively high cost of H2 compared               effective than purchasing other fuels. The graph also shows that
                   to CH4 and C3H8, it is not used in many industrial applications.               the adiabatic flame temperature decreases for N2/CH4 fuel
                   However, high H2 fuels are often used in many of the hydro-                    blends as the N2 content increases. Again, the decrease is not
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              FIGURE 2.20 Adiabatic flame temperature vs. fuel blend (CH4/H2) composition and air preheat temperature for stoichi-
              ometric air/fuel flames, where the fuel is at ambient temperature and pressure.
Fundamentals 65
                   FIGURE 2.22 Available heat vs. gas temperature for stoichiometric air/H2, air/CH4, and air/C3H8, flames where the air
                   and fuel are at ambient temperature and pressure.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 2.23 Available heat vs. air preheat temperature for stoichiometric air/H2, air/CH4, and air/C3H8 flames at an
                   exhaust gas temperature of 2000°F (1100°C), where the fuel is at ambient temperature and pressure.
                   2.13.3 Minimum Ignition Energy                                          intermediate species such as CH3, H, O, etc. Such species are
                   Ignition energy graphs usually have the vertical axis as the            extremely reactive and recombine to form the final products,
                   relative energy of the fuel mixture (see Figure 2.25). The              CO2 and H2O. Since the net heat release is greater than the
                   reactants start from an initial state. If the minimum ignition          minimum ignition energy, the reaction, once started, will
                   energy is supplied, the reactant bonds will rupture, producing          continue until virtually all of the reactants are consumed. The
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              FIGURE 2.24 Available heat vs. fuel preheat temperature for stoichiometric air/H2, air/CH4, and air/C3H8 flames at an
              exhaust gas temperature of 2000°F (1100°C), where the air is at ambient temperature and pressure.
                                                                                                              What the diagram says is that fuel and air comprising a very
                                                                                                           high chemical energy may exist in a metastable state, until one
                                                                                                           introduces a spark or flame of sufficient energy. Once the sys-
                                                                                                           tem reaches the minimum ignition energy, the reaction will be
                                                                                                           self-sustaining until the reaction consumes enough of the reac-
                                                                                                           tants. At that point, the reaction cannot liberate enough heat to
                                                                                                           supply the minimum ignition energy and the flame goes out.
Fundamentals 67
                      Le Chatelier’s rule states that the flammability limit of a                     this type are used as flame holders because they stabilize the
                   mixture is equal to the reciprocal of the sum of reciprocal                        flame front and keep it from moving forward or backward.
                   flammability limits weighted by their mole fractions.                                  Another concept used in premix burners is quench distance,
                                                                                                      the distance needed to remove sufficient heat from the flame
                                                          1                           (2.49)          to put it out. Here, burner slots or orifices have a finite thick-
                    LFL =
                                   1           1          1            1                      ness that exceeds the quench distance. Because the burner is
                                                                      K
                               y1        + y2  LFL  + y3  LFL  + + yn  LFL 
                                   LFL1           2          3            n                   cooler than the flame, if the flame does begin to burnback,
                                                                                                      the heavy metal will remove sufficient heat and cool the flame
                                                          1                         (2.50)            below its minimum ignition energy. Without this feature, a
                    UFL =
                                   1           1          1            1                      flame that finds its way into a premix burner could flashback.
                                                                      K
                               y1        + y2  UFL  + y3  UFL  + + yn  UFL                    With flashback, the combustion occurs in the burner, rather
                                   UFL1           2          3            n
                                                                                                      than at the flame holder. Sustained burnback will destroy the
                   where LFL is the lower flammability limit, UFL is the upper                        burner in a short time.
                   flammability limit, LFLi is the LFL for species i, and UFLi is                         Diffusion burners supply fuel with no premix chamber. The
                   the UFL for species i.                                                             fuel meets the air outside the fuel nozzle. With diffusion burners,
                                                                                                      flashback is not an issue because the fuel alone cannot support
                                                                                                      combustion (i.e., the upper flammability limit is exceeded).
                   2.13.6 Flame Speeds
                                                                                                      However, liftoff is still a concern. If the flame lifts off the burner,
                   The reaction between fuel and air can only occur at a finite                       it may travel to a place beyond the flammability limits and
                   speed. That finite speed depends on the speed of the reaction                      extinguish. Under certain conditions, the flame can repeatedly
                   (chemical) and the amount of turbulence in the flame (physical).                   liftoff and reestablish. This behavior is dangerous because the
                   If the flame has a lot of turbulence, hot pockets of gas recircu-                  fuel may burn incompletely during one part of the cycle and
                   late and the mixture burns faster. To first focus on the chemi-                    reignite later, causing an explosion. The cycle of liftoff and
                   cal part, suppose a long tube is filled with a flammable                           burnback can occur many times a second, causing rumble or
                   mixture. If one end of the tube is ignited, the flame front will                   vibration. Such rumble can be a sign of dangerous instabilities.
                   move along the tube at a precise velocity. A flame that has no                         Modern burners are designed to give high heat release in
                   turbulence is a laminar flame. Accordingly, the flame speed of                     short distances. This necessitates fuel velocities that greatly
                   a laminar flame is known as the laminar flame speed. It is a                       exceed the laminar flame speed. To stabilize such flames,
                   function of the kinetics of the combustion reaction. Under                         various flame holders are used. For example, an ignition ledge
                   standard conditions, this is a function of the fuel chemistry                      on a burner is a type of flame holder known as a bluff body.
                   alone. The laminar flame speeds for various fuels are tabu-                        Even if the air flows by the ledge at very high speed, the air
                   lated in Table 2.4. Now suppose that instead of a stationary                       speed very close to the ledge will be very slow. The flame
                   fuel mixture with a moving flame front, the fuel is moved. If                      will then establish very near the ignition ledge and be quite
                   the fuel is metered exactly at its flame speed, the flame front                    stable even over a wide range of firing rates. The burner tile
                   will remain stationary. If the fuel is metered faster than the                     itself is designed with a sudden expansion into the furnace,
                   flame speed, the flame front will move forward (called liftoff).                   which also acts as a flame holder because the gas velocity
                   If the fuel is metered slower than its flame speed, the flame                      decreases rapidly just after the expansion.
                   front will travel backward (called burnback or flashback).
                      Typical burners operate with fuel flows in excess of the lam-
                                                                                                      REFERENCES
                   inar flame speed. To avoid liftoff, several devices are used.
                   Consider premix burners first. Fuel flows across an orifice into                       1. D.R. Lide, Ed., CRC Handbook of Chemistry and
                   the throat of a venturi. The venturi is designed to entrain air                           Physics, 79th edition, CRC Press, Boca Raton, FL, 1998.
                   near the stoichiometric ratio. Gradual flow passages are used to                       2. F. Kreith, Ed., The CRC Handbook of Mechanical
                   avoid turbulence, and hot gases are recirculated back to the                              Engineering, CRC Press, Boca Raton, FL, 1998.
                   burner. The fuel/air mixture is supplied at velocities above the
                   laminar flame speed. As the fuel jet issues from the burner, the                       3. S.R. Turns, An Introduction to Combustion, McGraw-Hill,
                   velocity slows considerably. The flame front establishes where                            New York, 1996.
                   the flame and gas velocities are equal. The sudden expansion                           4. J.L. Reese et al., State-of-the-Art of NOx Emission
                   from the burner avoids liftoff as the velocity rapidly slows. The                         Control Technology, Proc. Int. Joint Power Generation
                   high fuel/air velocity avoids burnback. Sudden expansions of                              Conf., Phoenix, October 3-5, 1994.
                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Chapter 3
                                        Heat Transfer
                                                                                                        Prem Singh, Michael Henneke, Jaiwant D. Jayakaran,
                                                                                                                    Robert Hayes, and Charles E. Baukal, Jr.
TABLE OF CONTENTS
                                               3.1         Introduction............................................................................................................................................... 70
                                               3.2         Conduction ................................................................................................................................................ 71
                                               3.3         Thermal Conductivity ............................................................................................................................... 71
                                                            3.3.1       One-dimensional Steady-State Conduction ................................................................................ 73
                                                            3.3.2       Transient Conduction: Lumped Capacitance.............................................................................. 77
                                               3.4         Convection ................................................................................................................................................ 82
                                                            3.4.1       Newton’s Law of Cooling ........................................................................................................... 82
                                                            3.4.2       Laminar Flow Convection........................................................................................................... 83
                                                            3.4.3       Turbulent Internal Flow .............................................................................................................. 84
                                                            3.4.4       Turbulent External Flow ............................................................................................................. 85
                                               3.5         Radiation ................................................................................................................................................... 87
                                                            3.5.1       Blackbody Radiation/Planck Distribution .................................................................................. 88
                                                                                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                            3.5.2       Radiant Exchange Between Black Surfaces ............................................................................... 90
                                                            3.5.3       Radiant Exchange Between Gray/Diffuse Surfaces.................................................................... 91
                                                            3.5.4       View Factors for Diffuse Surfaces .............................................................................................. 92
                                                            3.5.5       Infrared Temperature Measurement............................................................................................ 92
                                                            3.5.6       Radiation in Absorbing/Emitting/Scattering Media ................................................................... 93
                                                            3.5.7       Mean-Beam-Length Method....................................................................................................... 95
                                                            3.5.8       Equation of Radiative Transfer ................................................................................................... 97
                                                            3.5.9       Radiation Emitted by a Flame .................................................................................................. 101
                                               3.6         Heat Transfer in Process Furnaces .......................................................................................................... 102
                                                            3.6.1       Flame Radiation ........................................................................................................................ 105
                                                            3.6.2       Furnace Gas Radiation.............................................................................................................. 105
                                                            3.6.3       Refractory Surface Radiation.................................................................................................... 106
                                                            3.6.4       Analysis of Radiation Heat Transfer......................................................................................... 106
                                                            3.6.5       Heat Transfer Through the Wall of a Furnace........................................................................... 108
                                                                                                                                69
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              transfer in flames and measuring flame parameters, but no                                                                                     vection section for heating. Major heat transfer processes in
              other significant discussions of flames and combustion.9                                                                                      petrochemical or refinery furnaces include:
              Özisik’s book focuses more on interactions between radiation,                                                                                      1. conduction through the furnace refractory and convection
              conduction, and convection, with no specific treatment of                                                                                             from the wall of the furnace to the surrounding air
              combustion or flames.10 A short book by Gray and Müller is                                                                                         2. radiation exchange between the flame, the surrounding
              aimed toward more practical applications of radiation.11 Spar-                                                                                        walls, and process tubes
              row and Cess have a brief chapter on nonluminous gaseous                                                                                           3. convection from the hot furnace gases to the process tubes
              radiation, in which they discuss the various band models.12                                                                                           and from process tube walls to the fluid flowing through
                                                                                                                                                                    the tubes
                 Some of the older books on heat transfer are more practi-
              cally oriented with less emphasis on theory. Kern’s classic                                                                                   See Section 3.6 for a comprehensive discussion on the vari-
              book Process Heat Transfer has a chapter devoted specifically                                                                                 ous heat transfer processes taking place in a furnace and how
              to heat transfer in furnaces, primarily boilers and petroleum                                                                                 one can calculate various effects.
              refinery furnaces.13 Hutchinson gives many graphical solu-                                                                                       The consequences of the performance of these heat transfer
              tions of conduction, radiation, and convection heat transfer                                                                                  mechanisms can significantly impact product throughput and
              problems, but nothing specifically for flames or combustion.14                                                                                quality, furnace efficiency, equipment lifetime, and safety.
              Hsu has helpful discussions on nonluminous gaseous radia-                                                                                     Other critical phenomena for consideration include the effect
              tion and luminous radiation from flames.15 Welty discusses                                                                                    of heat transfer mechanisms on the fired equipment itself (e.g.,
              heat exchangers, but not combustors or flames.16 Karlekar and                                                                                 heat transfer effects on burner fuel tips), or the effect of heat
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Heat Transfer 71
                                                                                                                                                                                                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                            Heat
                                                                            Loss
                                                                                             TABLE 3.2 Properties of Various Substances at above 32°F
                                                                                             (0°C) (except for steam as noted below)
                                Radiant                                                                                                           ρ                cp                  k
                                Section                                                                                                         Lb/ft3          Btu/lb °F          Btu/h ft °F
                                                                                                                                            Metals
                                                                                             Copper                                              559                  0.09             223
                                                                                             Aluminum                                            169                  0.21             132
                                                                                             Nickel                                              556                  0.12              52
                                           Burner                                            Iron                                                493                  0.11              42
                                                                                             Carbon Steel                                        487                  0.11              25
                   FIGURE 3.1 A typical fired heater.                                        Alloy Steel 18Cr 8Ni                                488                  0.11               9.4
                                                                                                                                     Nonmetal Solids
                                                                                             Limestone                                           105                  ~0.2             0.87
                   transfer on the performance of the fired equipment with                   Glass Pyrex                                         170                  ~0.2             0.58
                   respect to NOx emissions, flame stability, and flame shape.               Brick K-28                                           27                  ~0.2             0.14
                                                                                             Plaster                                             140                  ~0.2             0.075
                                                                                             Kaowool                                               8                  ~0.2             0.016
                   3.2 CONDUCTION                                                                                                            Gases
                   Conduction heat transfer refers to the transfer of energy from            Hydrogen                                           0.006                 3.3              0.099
                   the more energetic to the less energetic particles of a sub-              Oxygen                                             0.09                  0.22             0.014
                   stance, resulting from interaction between the particles. Con-            Air                                                0.08                  0.24             0.014
                                                                                             Nitrogen                                           0.08                  0.25             0.014
                   duction is the net transfer of energy by random molecular                 Steam1                                             0.04                  0.45             0.015
                   motion — also called diffusion of energy. Conduction in
                   gases and liquids is by such molecular motion, except that in                                                            Liquids
                   liquids, the molecules are more closely spaced and the                    Water                                               62.4                 1.0              0.32
                                                                                             Sulfur dioxide (liquid)                             89.8                 0.33             0.12
                   molecular interactions are stronger and more frequent. In the
                                                                                             1   Reference temperature for steam is 212°F (100°C). All other temperatures
                   case of solids, conduction refers to the energy transfer by lat-
                                                                                                 are 32°F (0°C).
                   tice waves induced by atomic motion. When the solid is a
                   conductor, the translational motion of free electrons transfers
                   energy. In nonconductors, the transfer of energy takes place               thermal conductivity of the material transferring heat. More
                   only via lattice waves.                                                    detailed information on thermal conduction heat transfer is
                      Heat conduction occurs in both stationary and moving sol-               available in books specifically written on that subject.23–28
                   ids, liquids, and gases. The primary postulate of classical heat
                   conduction theory is that the rate of heat conduction in a
                   material is proportional to the temperature gradient. This is              3.3 THERMAL CONDUCTIVITY
                   consistent with the second law of thermodynamics, indicating               Thermal conductivity is a material property that is expressed
                   that heat flows in the direction of decreasing temperature, or             in Btu/(hr-ft-°F) or W/(m-K) and is dependent on the chemi-
                   from hot bodies to cold bodies.                                            cal composition of the substance. Typical values for some
                                                               r                              materials are shown in Tables 3.1 and 3.2.
                                                               q = − k∇T      (3.1)
                                                                                                 The thermal conductivity of solids is generally higher than
                   Equation (3.1) states that heat flux is proportional to the tem-           liquids, and liquids higher than gases. Among solids, the
                   perature gradient, and the proportionality constant is called the          insulating materials have the lowest conductivities. The
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Air CO 2
O2 N2
H2
                                                                                          Flue Gases
                                                                            Natural Gas    Fuel Oil      Coal
                                                                                 k            k           k
                                                                    0           —             —            —
                                                                  500          0.022         0.022       0.022
                                                                 1000          0.030         0.029       0.029
                                                                 1500          0.037         0.036       0.036
                                                                 2000          0.044         0.043       0.043
                                                                 2500          0.051         0.049       0.050
               thermal conductivities of pure metals typically decrease with                                   decrease with increasing molecular weight. Thus, a light gas
               an increase in temperature, while the conductivities of alloys                                  such as hydrogen has a relatively high conductivity.
               can either increase or decrease (see Table 3.2). For many                                          When calculating the thermal conductivity of nonhomoge-
               heat transfer calculations, it is sufficiently accurate to assume                               neous materials, one must use the apparent thermal conduc-
               a constant thermal conductivity corresponding to the average                                    tivity to account for the porous or layered construction of the
               temperature of the material.                                                                    material. In furnace refractory walls, the thermal conductivity
                  The thermal conductivities of most nonmetallic liquids                                       can vary from site to site for the same material. This is because
               range from 0.05 to 0.15 Btu/hr-ft-°F (0.09 to 0.26 W/m-K),                                      the thermal conductivity of these materials is strongly depen-
               and the thermal conductivities of many liquids tend to                                          dent on their apparent bulk density (mass per unit volume).
               decrease with increasing temperature.                                                           For higher temperature insulations, the apparent thermal con-
                  The thermal conductivities of gases increase with temperature                                ductivity of fibrous insulations and insulating firebrick
               and are independent of pressure at the conditions at which most                                 decreases as bulk density increases, because the denser mate-
               furnace cavities operate. Generally, gas thermal conductivities
            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                               rial attenuates radiation. However, there is a limit at which
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Heat Transfer 73
                   any increase in density increases the thermal conductivity due                                            3.3.1.1 Plane Wall
                   to conduction in the solid material.                                                                      It can be shown that the general heat equation in isotropic
                      It is known that the specific heats of solids and liquids are                                          media is:
                   generally independent of pressure. Table 3.2 also shows the
                                                                                                                                     ∂  ∂ T  ∂  ∂T  ∂  ∂T                     ∂T
                   specific heats of various metals, alloys, and nonhomogeneous                                                          k     + k       + k      + q˙ = ρc p    (3.2)
                   materials at 68°F (20°C). These values can be used at other                                                       ∂ x  ∂ x  ∂ y  ∂ y  ∂z  ∂ z              ∂t
                   temperatures without significant error.                                                                   where k               = thermal conductivity of the media
                      Gases, on the other hand, demonstrate more temperature                                                       q̇              = rate of energy generation within the
                   dependence with regard to their specific heat. For all practical                                                                  system
                   purposes, in furnace analyses one can neglect any pressure                                                                   ∂T
                                                                                                                                           ρc p    = time rate of change of sensible energy of
                   dependence. Table 3.3 gives the specific heat data for air and                                                               ∂t
                                                                                                                                                     the system
                   other gases at different temperatures. In the case of steam and
                                                                                                                                Equation (3.2) is known as the heat diffusion equation. For
                   water, the variation of both thermal conductivity and specific
                                                                                                                             steady-state conduction in a medium with constant thermal con-
                   heat can be significant over the ranges of temperatures and
                                                                                                                             ductivity, the above equation, without heat generation, becomes:
                   pressures encountered in industrial steam systems. Refer to
                   any standard steam tables for data on water and steam.                                                                                              ∇2T = 0                              (3.3)
                      When using thermal insulators as a heat barrier, one must
                                                                                                                             where ∇ is the Laplacian operator, defined in cartesian coor-
                                                                                                                                           2
                   bear in mind that the effectiveness of an insulator depends
                                                                                                                             dinates as:
                   significantly on the temperature of its cold face. Thus, it is
                   not possible to protect a metal object in a furnace by insulating                                                                ∇ 2 ≡ ∂ 2 ∂x 2 + ∂ 2 ∂y 2 + ∂ 2 ∂z 2
                   all around it, unless there is an adequate path for the heat to
                   escape from the object to a cooler location, such as the atmo-                                            For one-dimensional transfer of heat, Eq. (3.3) becomes:
                   sphere outside the furnace. Regardless of the thickness of
                                                                                                                                                                        d 2T
                   insulation on an object that is in a furnace, if it is not attached                                                                                       =0                             (3.4)
                                                                                                                                                                        dx 2
                   to a cold sink, the object will eventually attain the furnace
                   temperature. This heat-up time period is governed by the                                                  Equation (3.4) for the plane wall shown in Figure 3.2 can be
                   specific heat of the material and is merely the time (and heat                                            solved to obtain:
                   input) required to heat the mass of insulation (and object) up
                   to the furnace temperature. The quantity of heat required to                                                                                    (
                                                                                                                                                            T = Ts,2 − Ts,1          ) Lx + T        s ,1   (3.5)
                   reach furnace temperature is given by:
                                                                                                                             The energy flux can be evaluated using Fourier’s law of heat
                                                                                                                             conduction:
                                                             Q = mCp ∆T
FIGURE 3.2 Heat transfer through a plane wall: (a) temperature distribution, and (b) equivalent thermal circuit.29
                                                                                               d 2T             1 d  dT                             1 d  2 dT 
                                                              Heat equation                         =0                r     =0                               r     =0
                                                                                               dx 2             r dr  dr                           r 2 dr  dr 
                                                                                                          x                 ln(r r2 )                         1 − (r1 r ) 
                                                              Temperature distribution        Ts,1 − ∆T        Ts,2 + ∆T                           Ts,1 − ∆T                 
                                                                                                          L                ln(r1 r2 )                         1 − (r1 r2 ) 
                                                                                                     ∆T                 k∆T                                          k∆T
                                                              Heat flux (q″)                     k
                                                                                                      L             r ln(r2 r1 )                      r   2
                                                                                                                                                              [(1 r ) − (1 r )]
                                                                                                                                                                     1            2
                                                                                                     ∆T              2 πLk∆T                                     4 πk∆T
                                                                                                                     ln(r2 r1 )                           (1 r ) − (1 r )
                                                              Heat rate (q)                     kA
                                                                                                      L                                                          1            2
              furnaces often have several walls in series to increase                                            where T∞,1 and T∞,2 are the surrounding temperatures and ΣRt
              strength, provide better insulation, or even to enhance                                            is the total thermal resistance of the system. The total thermal
              appearance. The one-dimensional steady-state heat transfer                                         resistance is evaluated as:
              analysis can also be applied to these cases. Multiple walls in
                                                                                                                                  ∑R = h A + k A + k A + k A + h A
              series can be considered to be a composite wall, as shown in                                                                                1              LA           LB      LC   1
                                                                                                                                              t                                                        (3.9)
              Figure 3.3. The heat flux in the x-direction is expressed as:                                                                               1              A
                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                                      B       C    2
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Heat Transfer 75
Tx,1
                                                                                                                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                             Ts,1
                                                                                                         T2
T3
Ts,4
                                                                                            LA                 LB                    LC
                                                                                                                                                              Tx,4
                                                           Hot fluid                        kA                 kB                    kC
                                                               Tx,1, h1
                                                                                                                                                                         Cold fluid
                                                                                            A                  B                     C                                        Tx,2 , h2
                                                                                 x
                                                                            1                LA                LB                   LC                  1
                                                                           h1A              k AA              kBA                  kCA                 h4 A
                                                                                                   −1
                                1   L   L   L   1  
                                1
                    U=       =   +  A  +  B  +  C  +                                        (3.11)
                       Rtot A  h1   k A   k B   kC   h4  
                   A circuit diagram of the thermal resistance of the composite                                            FIGURE 3.4 Temperature drop due to thermal contact
                   walls is also shown in Figure 3.3.                                                                      resistance.
                                                       Rt′′,c =
                                                                   TA − TB
                                                                                    (3.12)                                      qr =
                                                                                                                                                 (
                                                                                                                                        2 πLk Ts,1 − Ts,2        )
                                                                     q x′′                                                                                                      (3.17)
                                                                                                                                              ln(r2 r1 )
                 The thermal contact resistance for different combinations                      From the above equation, the conduction thermal resistance
              of solids is available in standard texts.29                                       can be given by:
                                                                                                                               T∞,1 − T∞,4
              where 2πrL is the area of the cylinder normal to the direction
              of heat flow. The temperature distribution in the cylinder can
                                                                                                                      qr =
                                                                                                                                    Rtot
                                                                                                                                                         (
                                                                                                                                                = UA T∞,1 − T∞,4            )   (3.20)
                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              where C1 and C2 are constants of integration and can be deter-                                                           d 2 T q˙
              mined by the application of boundary conditions T(r1) = Ts,1                                                                  + =0                                (3.21)
                                                                                                                                       dx 2 k
              and T(r2) = Ts,2.
                 Thus, the general equation for temperature distribution in                     where q̇ is the rate of heat generation per unit volume. The
              a cylinder is:                                                                    boundary conditions can be formulated as T(–L) = Ts,1 and
                                                                                                T(L) = Ts,2 , which, when used with the solution of Eq. (3.21),
                                                                                                gives the temperature distribution in the plane as:
                                                      Ts,1 − Ts,2      r
                                          T (r ) =                   ln  + Ts,2   (3.16)
                                                       ln(r1 r2 )       r2                                           ˙ 2
                                                                                                                       qL        x 2  Ts,2 − Ts,1 x Ts,1 − Ts,2
                                                                                                           T ( x) =           1 − 2  +              +                         (3.22)
                                                                                                                       2k        L         2      L      2
                 The differentiation of Eq. (3.16) with respect to r and
              substitution in Eq. (3.14) yields the expression for heat trans-                  When both surfaces are maintained at the same temperature,
              fer rate:                                                                         Ts, the above equation simplifies to:
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Heat Transfer 77
                                                                     ˙ 2
                                                                     qL         x2                                                                  ˙ 02
                                                                                                                                                      qr         r2 
                                                         T ( x) =           1 −     + Ts   (3.23)                                       T (r ) =           1 − r 2  + Ts         (3.25)
                                                                     2k         L2                                                                  4k          0 
                   3.3.1.6 Cylindrical Coordinate Systems                                                    Applying Fourier’s law and differentiating the above equa-
                   The steady-state conduction equation with heat generation in                              tion with respect to r determines the heat transfer rate at any
                   the cylindrical coordinate systems can be represented by:                                 radius in the cylinder.
                 If a hot solid initially (t < 0) at a temperature Ti is cooled                                         conduction resistance is negligible as compared to the con-
              and attains any temperature T(t) at any time (t > 0), a general                                           vection resistance (i.e., Bi << 1), the lumped capacitance
              heat balance equation can be written as:                                                                  assumption is valid. In the case of uneven surfaces or compli-
                                                                                                                        cated shapes, the estimation of length, L, is difficult and,
                                                                                                                        therefore, a characteristic length, Lc, is usually taken, which
                                                                              − hAs (T − T∞ ) = ρVc 
                                                                                                     dT
                                                                                                            (3.26)      is the ratio of volume to surface area.
                                                                                                    dt 
                                                                                                                           The exponent in Eq. (3.27) can now be rewritten as:
              where h is the convection heat transfer coefficient, As is the
              surface area of the solid, ρ is the density of the solid, c is                                                               hAs t hLc k t   hL αt
                                                                                                                                                =         = c 2 = Bi ⋅ Fo                           (3.31)
              the specific heat of the solid, and T∞ is the temperature of                                                                 ρVc          2
                                                                                                                                                  k pc Lc   k Lc
              the surrounding medium. Solving the above differential
              equation gives:                                                                                           where α is the thermal diffusivity and Fo is the Fourier num-
                                                                                                                               αt
                                                                                                                        ber ≡ 2 . Thus, the temperature distribution can be
                                                                            θ T − T∞            hA                         Lc
                                                                               =        = exp − s  t    (3.27)      expressed as:
                                                                            θ i Ti − T∞         ρVc  
                                                                                                                                                  θ T − T∞
              Here, the quantity (ρVc/hAs) is called the thermal time con-                                                                           =        = exp( − Bi ⋅ Fo)                     (3.32)
              stant, expressed as τ t. It can also be written as:                                                                                 θ i Ti − T∞
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Heat Transfer 79
                   If the condition of the solid is simultaneously affected by con-                                                              This differential equation can be solved with the help of the
                   vection, radiation, applied surface heat flux, and internal                                                                   following initial and boundary conditions:
                   energy generation, the situation could be complicated and dif-
                   ficult to solve. Thus, the more general form of Eq. (3.26) is:                                                                                                    IC: T ( x, 0) = Ti                              (3.37)
                                                                                               (
                                                                        − hAs (T − T∞ ) + εAs σ T 4 − Tsur
                                                                                                        4
                                                                                                          )+ Eg + qs = ρVc
                                                                                                                             dT
                                                                                                                             dt
                                                                                                                                (3.33)                                                   ∂T 
                                                                                                                                                                                  BC 1:  
                                                                                                                                                                                         ∂x  x =0
                                                                                                                                                                                                    =0                               (3.38)
                                                                              T − T∞
                                                                              Ti − T∞
                                                                                      = exp( − at ) +
                                                                                                        ba
                                                                                                      Ti − T∞
                                                                                                              [1 − exp(− at )]   (3.35)                               θ* =     ∑ C exp(−ζ Fo) cos(ζ x )
                                                                                                                                                                                        n
                                                                                                                                                                                                      2
                                                                                                                                                                                                      n                  n
                                                                                                                                                                                                                                 *
                                                                                                                                                                                                                                     (3.42)
                                                                                                                                                                         αt
                                                                                  hAs                                                            where          Fo =
                   where                                                       a=                                                                                        L2
                                                                                  ρVc                                                                                       4 sin ζ n
                                                                                                                                                               Cn =
                                                                                    q s + Eg                                                                             2ζ n + sin 2ζ n
                                                                               b=
                                                                                     ρVc
                                                                                                                                                 The eigenvalues of ζn are positive roots of the transcendental
                   The second term on the right-hand side of Eq. (3.35) is the                                                                   equation:
                   outcome of the applied flux and the heat generated within
                   the system.                                                                                                                                                         ζ n tan ζ n = Bi                              (3.43)
                   3.3.2.2 General Solution for the Lumped                                                                                       which are given in mathematical tables.
                           Capacitance Method
                   The one-dimensional, unsteady-state heat balance equation,                                                                    3.3.2.3 Radial Coordinate Systems
                                                                                                                                                 Schneider 30 has given exact solutions for an infinite cylinder
                   without any internal generation and with no energy input
                                                                                                                                                 and sphere. For an infinite cylinder, the dimensionless temp-
                   from the outside, is written as:
                                                                                                                                                 erature distribution is:
                                                                                                   ∂ 2 T 1 ∂T
                                                                                                        =
                                                                                                   ∂x 2 α ∂t
                                                                                                                                 (3.36)                                 θ* =    ∑ C exp(−ζ Fo)J (ζ r )
                                                                                                                                                                                         n
                                                                                                                                                                                                       2
                                                                                                                                                                                                       n         o       n
                                                                                                                                                                                                                             *
                                                                                                                                                                                                                                     (3.44)
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                                                                                               4 sin(ζ n ) − cos(ζ n )                                                                                    x 
                                                                                                                                                                                           − q0′′  erfc
                                                                                                                                                                                                  x
                                                                                        Cn =                                              (3.48)                                             h                  12
                                                                                                                                                                                                                                  (3.51)
                                                                                                    2ζ n − sin 2ζ n                                                                                       ( 4αt ) 
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Heat Transfer 81
                                                                                                                                                                  102
                                                                                                                       k = Thermal Conductivity Btu/h ft2 F/in.
                                                                                                                                                                            Heavy Duty FB
                                                                                                                                                                                                                    90% Alumina
                                                                                                                                                                                                                      Castable
                                                                                                                                                                  101
                                                                                                                                                                               1st Quality FB                  Dense
                                                                                                                                                                                                              Castable
                                                                                                                                                                            Insul Castable
                                                                                                             (b)                                                                 3000                            IFB K-26
                                                                                                                                                                                                                Insul Castable
                                                                                                                                                                              IFB K-30                               2500
                                                                                                                                                                                               600
                                                                                                                                                                                      stable 1
                                                                                                                                                                    1    Insul Ca
                                                                                                                                                                                        K-20           Ceramic Fiber Board
                                                                                                                                                                                 IFB
                                                                                                                                                                                      s
                                                                                                                                                                                  las
                                                                                                                                                                             e rg
                                                                                                                                                                         Fib
                                                                                                                                                                               Med Temp Block
                                                                                                                                                                  10-1
                                                                                                                                                                                                103                                 104
                                                                                                                                                                                  Temperature, F
                   FIGURE 3.7 Thermal conductivity of (a) some commonly used steels and alloys and (b) some refractory materials.
                                                                     Case (3): Surface Convection Condition:                                                                                  where the complimentary error function (erfc m) has been
                                                                                                                                                                                              defined as (1 – erf m).
                                                                        ∂T         h(T∞ − T (0, t ))(T ( x, t ) − Ti )                                                                         As a typical example, case (2) has been shown graphically
                                                                     −k          =
                                                                        ∂x  x =0             T∞ − Ti                                                                                        in Figure 3.6. In the above relationships, the thermal conduc-
                                                                                                                                                                                              tivity of the material has been assumed to be constant for
                                                                                           x    hx h 2 αt                                                                               most practical purposes if the temperature change is not
                                                                                    = erfc        1 2  − exp + 2                                                       (3.52)
                                                                                           ( 4αt )    k        k                                                                        appreciable. Figure 3.7(a) shows thermal conductivities of
                                                                                                                                                                                              some commonly used steels and alloys as a function of tem-
                                                                                                       (         )                          
                                                                                                                   12
                                                                                                         h 2 αt                                                                               perature. Thermal conductivities of various refractory mate-
                                                                                     erfc x          +                                      
                                                                                          ( 4αt )1 2                                                                                      rials are shown in Figure 3.7(b). Figure 3.8 shows temperature
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                            k                                
                                                                                                                                                                                             variation in a slab, as a function of thickness, under three
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                                                                                                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                solid boundary, are pumped through the heat-transfer equip-
                                                                                                                ment, the rate of heat transfer being a function of the physical
                                                                                                                properties of the fluids, the flow rates, and the geometry of
                                                                                                                the system. Flow is generally turbulent and the flow duct
                                                                                                                varies in complexity from circular tubes to baffled and finned
                                                                                                                tubes. Theoretical analyses of forced convection heat transfer
                                                                                                                have been limited to relatively simple geometries and laminar
                                                                                                                flow. Usually, for complicated geometries, only empirical rela-
                                                                                                                tionships are available. However, computational fluid dynam-
                                                                                                                ics CFD (see Chapter 9), the science of computer modeling
                                                                                                                flows and heat transfer, has advanced enough to provide good
                                                                                                                information based on the available semi-empirical CFD mod-
                                                                                                                els. In forced convection, heat transfer coefficients are
                                                                                                                strongly influenced by the mechanics of flow occurring during
                                                                                                                forced-convection heat transfer. Intensity of turbulence,
                                                                                                                entrance conditions, and wall conditions are some of the
                                                                                                                factors that must be considered for greater accuracy.
              FIGURE 3.8 Temperature-thickness relationships cor-
              responding to different thermal conductivities.                                                      Mixed convection refers to those situations when both nat-
                                                                                                                ural and forced convection are at work. A good example
              TABLE 3.5 Typical Convective Heat Transfer Coefficients                                           would be the convective heat transfer process taking place on
                            Condition                              Btu/h ft2 F            W/m2C                 the outside surface of a furnace wall when there is some wind
                                                                                                                blowing. In the absence of wind, the wall would be cooled
              Air, free convection                                   1   to   5           6   to   30
              Air, forced convection                                 5   to   50         30   to   300          purely by natural convection; but with wind, both mechanisms
              Steam, forced convection                             300   to   800      1800   to   4800         are present simultaneously.
              Oil, forced convection                                 5   to   300        30   to   1800
              Water, forced convection                              50   to   2000      300   to   1200            One example of the importance of forced convection in the
              Water, boiling                                       500   to   20,000   3000   to   120,000      process industries is the convection section in many process
                                                                                                                heaters. This is the downstream section of the heater that is
                                                                                                                heated by the combustion exhaust gases exiting the radiant or
              different conditions: (a) thermal conductivity is constant,                                       primary heating section. Not all heaters have a convection
              (b) thermal conductivity is increasing with temperature, and                                      section, but Garg estimates that heater efficiency can be
              (c) thermal conductivity is decreasing with temperature.                                          increased from 55–65% to 80% or more with the addition of
                                                                                                                a convection section.32 A number of books are available that
                                                                                                                deal specifically with convection heat transfer.33–41
              3.4 CONVECTION
              Convection heat transfer takes place in fluids. A combination                                     3.4.1 Newton’s Law of Cooling
              of molecular conduction and macroscopic fluid motion con-
              tributes to convective heat transfer. Convection takes place                                      Any convective transfer of heat can be represented by a gen-
              adjacent to heated surfaces as a result of fluid motion past the                                  eral heat balance equation called Newton’s law of cooling:
              surface. All convection processes fall into three categories:
              natural convection, forced convection, and mixed convection.
                 Natural convection occurs when fluid motion is created as                                                                          q ′′ = h(Ts − T∞ )                      (3.53)
              a result of local density differences alone. Theoretical analy-
              ses of natural convection require the simultaneous solution of                                    where q″ is the heat flux, h is the convective heat transfer
              the coupled equations of motion and energy.                                                       coefficient, and (Ts – T∞) is the temperature difference
                 Forced convection results when mechanical forces from                                          between the hot fluid and the cold fluid/surrounding. Table 3.5
              devices such as fans give motion to the fluid. Forced convection                                  gives typical values of convective heat transfer coefficients.
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Heat Transfer 83
                   3.4.2 Laminar Flow Convection                                                and other heat exchanger manufacturers use heat transfer tubes
                                                                                                with internal “rifling” to enhance the convective heat transfer.
                   An important factor that influences convective heat transfer is
                   the laminar sublayer. It is well-known that for a turbulent flow                 In most cases, the boundary layer effect is dominant in
                   of a fluid past a solid, in the immediate neighborhood of the                gases. In a system transferring heat from a gas to a liquid, the
                   surface there exists a relatively quiet zone of fluid called the             resistance on the liquid side can usually be neglected because
                   laminar sublayer. As one approaches the wall from the body of                it is so much smaller than the resistance on the gas side.
                   the fluid, the flow slows down, and this slowed-down region is                   Consider a fluid at a uniform temperature T(r,0) entering a
                                                                                                tube where the heat transfer takes place from the wall of the
                                                                                                                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   known as the boundary layer. The boundary layer itself has
                   fluid that is turbulent closer to the core of the flow, followed by          tube (maintained either at a constant temperature or with a
                   a transition zone, and finally becomes laminar very close to the             constant wall heat flux); a thermal entrance region is formed
                   wall. The portion of the flow that is essentially laminar is                 as shown in Figure 3.9. For laminar flow conditions, the thermal
                   called the laminar sublayer. In the laminar sublayer, the heat is            entry length is given by Kays and Crawford 37 as:
                   transferred by molecular conduction. The resistance of the
                   laminar layer to heat flow will vary according to its thickness                                          (x   fd,t        )
                                                                                                                                        Dlam = 0.05 Re D Pr             (3.54)
                   and can range from 95% of the total resistance for some fluids
                   to only 1% for others (e.g., liquid metals).                                 where xfd,t is the thermal entrance length, D is the diameter of
                      In highly turbulent flows, the sublayer is thinner and, thus,             the tube, ReD is the Reynolds number based on tube diameter,
                   greater turbulence makes for better heat transfer in general.                and Pr is the Prandtl number. It is interesting that the equa-
                   Similarly, surface roughness and other mechanisms, such as                   tion for thermal entry length is very similar to the equation
                   oscillating flow or phase change, will aid in heat transfer by               for hydrodynamic entry length, which is:
                   disturbing the boundary layer. So, from a heat transfer point
                   of view, it is of benefit in reformer and cracking tubes to have                                           (x   fd,h          )
                                                                                                                                          Dlam = 0.05 Re D              (3.55)
                   the rough surface finish that results from the spin-cast process
                   used to make the tubes. Similarly, many boiler manufacturers                 where xfd,h is the hydrodynamic entry length.
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                                                                                                                                                                                   f = 0.184( Re D )
                                                                                                                                                                                                             −1 5
                                                                                                           −2 kC2                                                                                                                   (3.65)
                                                                                             ∂T 
                                                                                   qs′′ = k            =                          (3.59)
                                                                                             ∂r  r =r      r0
                                                                                                       0
                                                                                                                                                 Thus,
              Therefore,
                                                                                                                                                                            Nu D = 0.023( Re D )                (Pr )1 3
                                                                                                                                                                                                           45
                                                                                                                                                                                                                                    (3.66)
                                                                                             qs′′   4k
                                                                                       h=         =                                 (3.60)
                                                                                          Ts − Tm   r0                                              Dittus and Boelter42 suggested a modification in Eq. (3.66)
                                                                                                                                                 by replacing the exponent of the Prandtl number by n, where
                                                                                                  hD                                             n is 0.4 for heating and 0.3 for cooling. It is to be noted that
              or                                                                         Nu D =      =8                             (3.61)       Eq. (3.66) or its modification, are good for cases where the
                                                                                                   k
                                                                                                                                                 temperature difference (Ts – Tm) is moderate. When the tem-
              where NuD is the Nusselt number based on tube diameter.                                                                            perature difference is large, the equation suggested by Sieder
                 Similarly, in a circular tube characterized by uniform sur-                                                                     and Tate43 is recommended as follows:
              face heat flux and fully developed conditions, the Nusselt
              number is given as:
                                                                                                                                                                   Nu D = 0.027( Re D )                 (Pr )1 3 (µ µ s )
                                                                                                                                                                                                   45                        0.14
                                                                                                                                                                                                                                    (3.67)
                                                                                           Nu D = 4.36                              (3.62)
                                                                                                                                                 where µs is the viscosity of the fluid determined at surface
                                                                                                                                                 temperature, and all the other properties are measured at the
              and for laminar, fully developed conditions, with a constant
                                                                                                                                                 mean temperature. The Dittus–Boelter and Sieder–Tate
              surface temperature, the Nusselt number is:
                                                                                                                                                 equations are applicable for cases of both uniform surface
                                                                                                                                                 temperature and heat flux conditions. Petukhov 44 has given
                                                                                           Nu D = 3.66
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Heat Transfer 85
                   Dittus–Boelter or Sieder–Tate equations, but is more complex                         3.4.4 Turbulent External Flow
                   to use. The correlation is:                                                          External flow or immersed flow occurs when a fluid flows past
                                                                                                        a stationary immersed solid. Similar to internal flow, the local
                                         Nu D =
                                                              ( f 8) Re D Pr            (3.68)
                                                                                                        coefficient immersed flow is again infinite at the point where
                                                      1.07 + 12.7( f 8) ( Pr 2 3 − 1)
                                                                        12                              heating begins. Subsequently, it decreases and may show vari-
                                                                                                        ous irregularities, depending on the configuration of the body.
                                                                                                        Usually, in this instance, the local coefficient never becomes
                   where the friction factor, f, is obtained from the Moody                             constant as flow proceeds downstream over the body.
                   diagram.45                                                                              When heat transfer occurs during immersed flow, the rate
                      For the special cases of liquid metals, where the Prandtl                         depends on the configuration of the body, the position of the
                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   number is very small (0.003 ≤ Pr ≤ 0.05), Skupinski et al.46                         body, the proximity of other bodies, and the flow rate and
                   have given a correlation for heat transfer in fully developed                        turbulence of the stream. The heat transfer coefficient varies
                   turbulent flow. For constant surface heat flux:                                      over the immersed body, because both the thermal and the
                                                                                                        momentum boundary layers change even with simple config-
                                               Nu D = 4.82 + 0.0185 Pe 0.827            (3.69)          urations immersed in an infinite flowing fluid. For complicated
                                                                       D
                                                                                                        configurations and assemblages of bodies, such as found on
                                                                                                        the shell side of a heat exchanger, little is known about the
                   for 3.6 × 103 < ReD < 9.05 × 105 and 102 < PeD < 104, where
                                                                                                        local heat transfer coefficient; empirical relationships giving
                   the Peclet number is defined as PeD = ReD·Pr. For constant
                                                                                                        average coefficients are all that are usually available. Research
                   surface temperature:47
                                                                                                        conducted on local coefficients in complicated geometries has
                                                                                                        not been extensive enough to extrapolate into useful design
                                                   Nu D = 5.0 + 0.025 Pe 0.8
                                                                         D              (3.70)          relationships.
                                                                                                           For turbulent flow with Reynolds numbers up to about 108,
                     Reed48 has presented extensive literature on different                             the local friction coefficient is given by:49
                   correlations for heat transfer in laminar and turbulent flow
                   conditions.                                                                                                           C f,x = 0.0592 Re −x1 5                (3.73)
                   3.4.3.1 Noncircular Tubes/Sections                                                       The velocity boundary layer thickness is given by:
                   Although the correlations discussed thus far have been pre-
                   sented for circular tubes, these relationships can be extended                                                           δ = 0.37 × Re −x1 5                 (3.74)
                   to noncircular tubes and sections by simply replacing the
                   tube diameter with the hydraulic diameter, defined as:                               where x is the distance in the direction of flow. Thus, the local
                                                                                                        Nusselt number for external turbulent flow is:
                                                                        Ac
                                                               Dh = 4                   (3.71)
                                                                        P                                                  Nu x = St Re x Pr = 0.0296 Re 4x 5 Pr 1 3            (3.75)
                   where Ac is the flow cross-sectional area and P is the wetted                        where St is the Stanton number.
                   perimeter. Calculations of Reynolds number and Nusselt                                  Complications arise when the boundary layer formation on
                   number are based on hydraulic diameter. In the case of a con-                        the external flow consists of both laminar and turbulent por-
                   centric annulus, the hydraulic diameter is given by:                                 tions. Under these circumstances, neither laminar nor turbulent
                                                                                                        correlations are satisfactory. A reasonably good correlation for
                                                    π                                                   mixed boundary layer conditions is:
                                                 4  Do2 − Di2
                                                   4             (         )
                                            Dh =                = Do − Di               (3.72)
                                                    πDo + πDi                                                                               [
                                                                                                                                Nu L = 0.037 Re 4L 5 − 871 Pr 1 3        ]      (3.76)
                   Table 3.6 summarizes the convection correlations in circular                         with the conditions that 0.6 < Pr < 60; 5 × 105 < ReL < 108;
                   tubes.29                                                                             Rex,c = 5 × 105; and where ReL is based on total length of the
                   surface and Rex,c is the critical Reynolds number for transi-                        tion from laminar to turbulent.
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                                       0.0668( D L) Re D Pr                                  Laminar, thermal entry length (Pr >> 1 or an unheated starting length), uniform Ts
               Nu D = 3.66 +
                                              [
                                   1 + 0.04 ( D L) Re D Pr                      ]
                                                                                    23
                                                                                                                                                                                                                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
               f = (0.790 ln Re D − 1.64)
                                                  −2
                                                                                             Turbulent, fully developed; 3000 ≤ ReD ≤ 5 × 106
Nu D = 0.023 Re 4D 5 Pr n Turbulent, fully developed; 0.6 ≤ Pr ≤ 160; ReD ≥ 10,000, (L/D) ≥ 10; n = 0.4 for Ts > Tm and n = 0.3 for Ts < Tm
or
                                                                 0.14
                                            µ
               Nu D = 0.027 Re 4D 5 Pr 1 3                                                 Turbulent, fully developed; 0.7 ≤ Pr ≤ 16,700, ReD ≥ 10,000, (L/D) ≥ 10
                                            µs 
or
                       ( f 8)(Re − 1000) Pr                                
               Nu D = 
                                    D
                                                                                            Turbulent, fully developed; 0.5 ≤ Pr ≤ 2000; 3000 ≤ ReD ≤ 5 × 106, (L/D) ≥ 10
                                                 (
                       1 + 12.7( f 8)1 2 Pr 2 3 + 1                    )   
                                                                            
               Nu D = 4.82 + 0.0185(Re D Pr )                                                Liquid metals, turbulent, fully developed, uniform q s′′, 3.6 × 103 < ReD < 9.05 × 105, 102 < PeD < 104
                                                                 0.827
               Nu D = 5.0 + 0.025(Re D Pr )
                                                           0.8
                                                                                             Liquid metals, turbulent, fully developed; uniform Ts, PeD > 100
Source: F.P. Incropera and D.P. DeWitt, Fundamentals of Heat and Mass Transfer, 4th edition, John Wiley & Sons, New York, 1996. With permission.
                Similarly, the suitable correlation for friction coefficient in                                                   When L is very high compared to xc (i.e., the entire surface
              mixed boundary cases is given by:                                                                                is covered by turbulent layer) the correlation for heat transfer
                                                                                                                               simplifies to:
                                                  [
                                     C f,L = 0.074 Re1L 5 − [1742 Re L ]                 ]                     (3.77)
                                                                                                                                                             Nu L = 0.037 Re 4L 5 Pr 1 3                   (3.78)
with the conditions that 5 × 105 < ReL < 108 and Rex,c = 5 × 105. and similarly, the friction coefficient becomes:
Heat Transfer 87
                   3.4.4.1 Convection Heat Transfer for Cylinders in                                                       TABLE 3.7 Constants of Equation (3.80)
                           Cross Flow                                                                                      for a Circular Cylinder in Cross Flow29
                   Hilpert 50 has presented a correlation for the average Nusselt                                                          ReD                            C                m
                                                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   number for convection heat transfer for cylinders in cross                                                         0.4    –   4                     0.989              0.330
                   flow:                                                                                                                4    –   40                    0.911              0.385
                                                                                                                                       40    –   4 × 10 3              0.683              0.466
                                                                                                                                  4 × 103    –   4 × 10 4              0.193              0.618
                                                               hD
                                                  Nu D =          = C Re mD Pr 1 3           (3.80)                               4 × 104    –   4 × 10 5              0.027              0.805
                                                                k
                   where the Nusselt and Reynolds numbers are based on the                                  TABLE 3.8 Constants of Equation (3.85) for the Tube Bank
                   diameter of the cylinder, and constants C and m are as                                   in Cross Flow29
                   presented by Hilpert 50 and Knudsen and Katz (1958)51 in                                     Configuration                       ReD,max                           C               m
                   Table 3.7.                                                                               Aligned                                10 – 10  2               0.80                    0.40
                      In Eq. (3.81), Churchill and Bernstein 52 suggest a more                              Staggered                              10 – 102                 0.90                    0.40
                   comprehensive correlation covering a wider range of Rey-
                                                                                                            Aligned                                102 – 103               Approximate as a single
                   nolds and Prandtl numbers and suitable for the entire range                              Staggered                              102 – 103
                                                                                                                                                                      
                                                                                                                                                                            (isolated) cylinder
                   of experimental data available:
                                                                                                            Aligned                              103 – 2 × 105              0.27                    0.63
                                                                                                            (ST/SL > 0.7)a
                                                                                     58 45
                                              0.62 Re1D2 Pr 1 3   Re D              
                     Nu D = 0.3 +                                1 +                     (3.81)
                                            [                       ]
                                                                                                            Staggered                            103 – 2 × 105              0.35 (ST/SL)1/5         0.60
                                             1 + (0.4 Pr )
                                                           23 14
                                                                   282, 000                           (ST/SL > 2)
                   Grimison53 suggested a correlation for convection heat trans-                            a For (ST/SL < 0.7), heat transfer is inefficient and aligned tubes should not
                   fer in aligned or staggered banks of tubes for ten or more                                 be used.
                                                                                                            Source: A. Zhukauskas, Advances in Heat Transfer, Vol. 8, J.P. Hartnett and
                   rows of tubes:                                                                           T.F. Irvine, Jr., Eds., Academic Press, New York, 1972. With permission.
                   for the conditions 2000 < ReD,max < 40,000 and Pr ≥ 0.7                                   Zhukauskas54 has presented a correlation that is more recent
                      For the number of rows less than ten, a correction factor                              and widely used:
                   must be used.29 In the above equation, the Reynolds number
                   is based on the maximum fluid velocity occurring within the                                                                                    Pr 
                                                                                                                                                                                     14
                   tube bank. The maximum velocity for the aligned arrange-                                                         Nu D = C ⋅ Re mD,max Pr 0.36                                (3.85)
                   ment is given by:                                                                                                                              PrS 
Heat Transfer 89
                                                                                                  Wavelength (µm)
                   FIGURE 3.11 Spectrum of electromagnetic radiation.
                                                                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                          Eb                                       3.5.1.1 Planck Distribution
                                                                   Ib =                          (3.86)
                                                                          π                                        Spectral distribution of a blackbody emission was first deter-
                                                                                                                   mined by Planck 61 and is given by:
                   where Eb is the emissive power of the blackbody.
                                                                                                                                                                          2 hc02
                      A relatively small opening to a cavity with a uniform inte-                                                        I λ ,b ( λ , T ) =
                                                                                                                                                                [                            ]
                                                                                                                                                                                                     (3.87)
                   rior surface temperature closely approximates the radiation                                                                                λ5 exp( hc0 λkT ) − 1
                   characteristics of a blackbody. Radiation that enters the sur-
                   face will be partially absorbed and partially reflected by the                                  where h = 6.6256 × 10–34 J·s (Planck’s constant)
                   first internal surface of incidence. If the opening is small                                                 k = 1.3805 × 10–23 J/K (Boltzmann constant)
                   compared to the cavity dimension, then virtually all of the                                                  c0 = 2.998 × 108 m/s (speed of light in vacuum)
                   energy that enters the cavity will undergo multiple internal                                                 T = absolute temperature of the blackbody, in K
                   reflections and eventually be absorbed. Further, although the
                                                                                                                      On the assumption that the blackbody is a diffuse emitter,
                   surfaces within the cavity are not black and they do not emit
                                                                                                                   its spectral emissive power is given by:
                   blackbody radiation, their radiosity (radiosity is the total radi-
                   ation leaving a surface; in this case, it will be the emitted
                                                                                                                                                                                    2hπc02
                   radiation plus the reflected radiation) will be that of a black-                                           Eλ ,b (λ, T ) = πIλ ,b (λ, T ) =
                                                                                                                                                                           [                     ]
                                                                                                                                                                                                     (3.88)
                   body. Proof of this is given by Siegel and Howell.59                                                                                                  λ5 exp(hc0 λkT ) − 1
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                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 3.12 Spectral blackbody emissive power.
                 Equation (3.88) is known as the Planck distribution.                   The dotted line in Figure 3.12 shows the locus of points of
              Figure 3.12 shows the variation of spectral emissive power as          the maximum in the spectral distribution curves.
              a function of wavelength for selected temperatures. The figure
              indicates that as temperature increases, the blackbody emis-           3.5.1.3 Stefan-Boltzmann Law
              sive power at every wavelength increases and the wavelength            Integration of the Planck distribution equation shows that the
              of peak emission decreases. Radiation from the sun is approx-          emissive power of a blackbody is given as:
              imated by radiation from a 5800 K blackbody source. The
              temperature at which radiant energy emissions from a surface                                                    Eb = σT 4                          (3.90)
              become visible to the human eye is called the Draper point,
              occurring at approximately 800 K.                                      where σ is the Stefan-Boltzmann constant and has the numerical
                                                                                     value of 5.670 × 10–8 W/m2·K4. (0.1714 × 10–8 Btu/hr·ft2·R4)
              3.5.1.2 Wien’s Displacement Law                                        Equation (3.90) is known as the Stefan-Boltzmann law. The
                                                                                     importance of this law is that the emissive power of a black-
              From Figure 3.12 it is clear that the blackbody spectral distri-
                                                                                     body can be directly obtained for any temperature. Also, if the
              bution has a maximum and the corresponding λmax depends
                                                                                     emissivity of any real surface is known, its emissive power
              on temperature. Differentiating Eq. (3.87) with respect to λ
                                                                                     can be calculated using the blackbody emissive power.
              and setting the result equal to zero gives:
Heat Transfer 91
                   Similarly,
                                                                                                                                                      Ebi − Ji
                                                                                                                                         qi =                                                 (3.99)
                                                                                                                                                   (1 − ε i )( Ai ε i )
                                                                                                                                                                                                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                           q j→i = Ai Fji Ebj         (3.93)
                   Thus, the net exchange between the two black surfaces is:                          Thus, the total rate at which radiation reaches surface i from
                                                                                                      all surfaces is:
                                                                    (
                                                       qij = Ai Fij Ti 4 − Tj4    )   (3.94)
                                                                                                                                        Ai Gi =         ∑F A J  ji       j    j              (3.100)
                   3.5.3 Radiant Exchange Between
                         Gray/Diffuse Surfaces                                                        Using the reciprocity and summation rule, the net rate of
                   The main problem in the radiation exchange between non-                            radiation transfer to surface i becomes:
                   blackbodies is the surface reflection. Consider an exchange
                   between surfaces in an enclosure. Assume that they are
                   isothermal, opaque, and gray, with uniform radiosity and
                                                                                                                              qi =   ∑ F A (J − J ) = ∑ q
                                                                                                                                              ij    i    i           j                  ij   (3.101)
                                                            Ji = Ei + ρi Gi           (3.96)                                   (1 − ε i ) ( Ai ε i )
                                                                                                                                                     =        ∑ (A F )
                                                                                                                                                               j =1           i ij
                                                                                                                                                                                     −1      (3.102)
                   where E is emissive power and ρ is the reflectivity of the sur-                    A network representation of the above equation is shown in
                   face. Thus,                                                                        Figure 3.14.
                                                                                                         In situations where the net radiation transfer rate is known
                                                        qi = Ai ( Ei − α i Gi )       (3.97)          and not the temperature, Eq. (3.101) is used in the alternate
                                                                                                      form:
                   where ρi = (1 – αi) = (1 – εi) for an opaque, diffuse, gray sur-
                                                                                                                                                             Ji − J j
                   face. Therefore, the radiosity is given as:
                                                                                                                                         qi =      ∑ (A F )   i ij
                                                                                                                                                                         −1                  (3.103)
                                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 3.14 Network representation of radiative exchange between surface i and the remaining surfaces of an enclosure.29
                                                                                                        Tables 3.10 and 3.11 show view factors for two- and three-
              Thus, the view factor, which is the fraction of radiation that                          dimensional geometries, respectively, and Figures 3.16, 3.17,
              leaves Ai and is intercepted by Aj , is given as:                                       and 3.18 show the view factors for three very common
                                                                                                      configurations.
                                                                   qi→ j
                                                          Fij =                          (3.105)
                                                                   Ai Ji                              3.5.5 Infrared Temperature Measurement
                                                                                                      Planck’s distribution relates the radiation emitted by a
              or, assuming that the two surfaces are diffuse emitters and                             blackbody to its temperature. This relation is used in heat
              reflectors and have uniform radiosity, the shape factor is                              transfer analysis to determine how much energy is emitted
              given as:                                                                               by a surface. A further application of this relation is to mea-
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Heat Transfer 93
dAj
                                                                                                               nj
                                                                                                                       Gj
                                                                                                                                                                                                       dAj cos Gj
                                                                                                                                                Aj,Tj
                                                                                                               R
                                                                                                 ni
                                                                                                      Gi
                                                                                   dAi
                                                                                                                    Ai,Ti                ni                                       dMj-i
dAi
                                                                  FIGURE 3.15 View factor of radiation exchange between faces of area dAi and dAj .29
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                  sure the intensity of the emitted radiation and use this mea-             3.5.6 Radiation in Absorbing/Emitting/
                                                                  surement to determine the surface temperature. In practice,
                                                                                                                                                  Scattering Media
                                                                  a number of complicating factors make it impossible to use
                                                                                                                                            The foregoing discussion on radiation heat transfer was lim-
                                                                  Planck’s distribution to convert the measured intensity to
                                                                                                                                            ited to surface exchange. Surface exchange is radiation heat
                                                                  the surface temperature. In reality, there are no perfectly
                                                                                                                                            transfer from one surface to another, assuming that the
                                                                  black surfaces. Real surfaces are at best gray and not always
                                                                                                                                            medium between the two surfaces is a vacuum or a transpar-
                                                                  diffuse. In addition, there will be radiation reflected from
                                                                                                                                            ent substance. The notion of surface exchange is actually an
                                                                  the surface that must be compensated for during measure-
                                                                                                                                            idealization. When radiant energy is incident on a surface, it
                                                                  ment. While it is possible to make these corrections analyti-
                                                                                                                                            actually penetrates that surface some distance when consid-
                                                                  cally, vendors of infrared temperature measuring devices
                                                                                                                                            ered at the molecular level. For most metals, this distance is
                                                                  invariably make extensive use of calibration. Calibration
                                                                                                                                            only several Angstroms (Å, 10–10 m), while for most non-
                                                                  allows the measurement device to be corrected for spectral
                                                                                                                                            metals, it is several microns (µm, 10–6 m).
                                                                  selectivity of the detector and for nonlinearities in the
                                                                                                                                               Radiation absorption and emission in gases is due to the
                                                                  detector’s response.
                                                                                                                                            quantum energy levels of the gas molecules. An in-depth anal-
                                                                     Figure 3.19 shows infrared temperature measurements made               ysis and discussion of the topic is beyond the scope of this
                                                                  on a burner. By selecting an appropriate wavelength for the               section, but some understanding of gas spectra is necessary to
                                                                  intensity measurement (in this case, the wavelength is 3.9 µm),           understand gas radiation. Because air is primarily composed
                                                                  the effects of CO2 and H2O between the emitting surface and               of symmetric diatomic molecules (which typically do not emit
                                                                  the infrared camera are negated. Surface temperatures can                 or absorb in the infrared) and inerts (N2, O2, and Ar), air is
                                                                  then be readily measured “through” a flame. It is very difficult          usually considered a transparent medium. Humid air, however,
                                                                  to make reliable gas temperature measurements by measuring                does absorb some radiation. Normally, this absorption is
                                                                  the infrared emission because the emission from gases                     neglected as it is usually not significant. Other molecules that
                                                                  depends on the temperature of the gas volume, the composi-                are commonly found in combustion applications, such as CH4
                                                                  tion of the gas volume, as well as the dimension of the gas               and other hydrocarbons, CO2, H2O, CO, etc., do emit and
                                                                  volume. Because most real applications involve nonisother-                absorb in the infrared. Unlike many solid surfaces, however,
                                                                  mal gas volumes (such as a flame in a furnace), IR measure-               their emission and absorption do not smoothly vary with wave-
                                                                  ments are not feasible.                                                   length. Rather, their emission and absorption spectra oscillate
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                                                                                                                                                                         (              )                      (           )
                                                                                                                                                                                                        12                                 12
                                                                                                                                                                       W +W                2
                                                                                                                                                                                                + 4      −  Wj + Wi
                                                                                                                                                                                                                               2
                                                                                                                                                                                                                                   + 4
                                                                                                                                                                       i                                                         
                                                                                                                                                                Fij = 
                                                                                                                                                                             j
              Parallel plates with midlines connected by
               a perpendicular                                                                                                                                                                           2Wi
Wi = wi L , Wj = w j L
                                                                                                                                                                             (           )               (         ) 
                                                                                                                                                                                                                    2 12
                                                                                                                                                                        1 + wi w j − 1 + w j wi
              Perpendicular plates with a common edge
                                                                                                                                                                Fij =                
                                                                                                                                                                                                  2
                                                                                                                                                                        wi + w j − w k
              Three-sided enclosure                                                                                                                             Fij =
                                                                                                                                                                                 2 wi
              violently with wavelength, but only in narrow “bands” centered                                              is meaningless in a participating media. Instead, one must
              around wavelengths particular to the species under consider-                                                consider the intensity of radiation. From the study of surface
              ation.                                                                                                      exchange, one knows that the intensity of radiation emitted
                 If the medium between surfaces is not transparent to ther-                                               by a diffuse surface is independent of angle, while emissive
              mal radiation, it is called a participating medium. The notion                                              power varies as the cosine of the normal angle. Section 3.5.8
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              of emissive power, so useful in analyzing surface exchange,                                                 briefly shows how radiant intensity is absorbed, emitted, and
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Heat Transfer 95
                                                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   TABLE 3.10 (continued) View Factors for Two-dimensional Geometries
                                                                              Geometry                                                                        Relation
                                                                                                                                  1 
                                                                                                                                           [                     ] − [C                      ]
                                                                                                                                                                  12                        2 12
                                                                                                                         Fij =      π + C − ( R + 1)                          − ( R − 1)
                                                                                                                                                      2
                                                                                                                                          2                                2
                                                                                                                                                                                                   K
                                                                                                                                 2π 
                                                                                                                                               R 1                    R 1 
                   Parallel cylinders of different radii                                                                      +( R − 1) cos −1  −  − ( R + 1) cos −1  +  
                                                                                                                                               C C                    C C 
                                                                                                                          R = rj ri ,          S = s ri
R = rj ri , S = s ri
                                                                                                                                    r  −1 s1             s 
                   Cylinder and parallel rectangle                                                                       Fij =              tan   − tan −1 2 
                                                                                                                                 s1 − s2      L          L
                                                                                                                                                    12
                                                                                                                                     D 2 
                                                                                                                                                                                         12
                                                                                                                                                               D         s 2 − D2 
                   Infinite plane and row of cylinders                                                                   Fij = 1 − 1 −                  +        tan −1           
                                                                                                                                     S                   S         D2 
Source: Adapted from F.P. Incropera and D.P. DeWitt, Fundamentals of Heat and Mass Transfer, 4th edition, John Wiley & Sons, New York, 1996.
                   scattered by participating media. Radiant intensity within a                    diatomic gases of symmetrical composition such as O2, N2,
                   participating medium is a function of location (typically                       and H2 are transparent to thermal radiation. Important gases
                   three independent variables in a three-dimensional problem),                    that absorb and emit radiation are polyatomic gases such as
                   direction (two independent angles are required to describe                      CO2 and H2O and asymmetric molecules such as CO. Deter-
                   direction in a three-dimensional problem), and wavelength                       mination of radiant flux from gases is highly complex, but it
                   or wavenumber (one independent variable) if the problem is                      can be simplified by using Hottel’s assumption62 that
                   steady state. The fact that radiant intensity is a function of                  involves determination of emission from a hemispherical
                   six independent variables immediately indicates that the anal-                  mass of gas at temperature Tg to a surface element located at
                   ysis will be significantly more complicated than, for example,                  the center of the hemisphere’s base as:
                   conduction heat transfer, where there are only three indepen-
                   dent variables in a three-dimensional, steady-state problem.                                                            Eg = ε g σTg4                                           (3.107)
                   Further, if scattering is to be considered, the equation of
                   radiative transfer will have an integro-differential form.                      where Eg is emissive power and εg is the gas emissivity. Fig-
                                                                                                   ures 3.21 and 3.22 show the emissivity of water vapor and
                   3.5.7 Mean-Beam-Length Method                                                   carbon dioxide, respectively, as a function of gas tempera-
                   Gases emit and absorb radiation in discrete energy bands dic-                   ture. The figures are based on experimental data taken in
                   tated by the allowed energy states within the molecule. While                   hemispherical shape of the gas at 1 atm total pressure, in a
                   the energy emitted by a solid shows a continuous spectrum,                      mixture with nonradiating gases. For pressures other than
                   the radiation emitted and absorbed by a gas is restricted to                    1 atm, corrections must be incorporated. When carbon diox-
                   bands. Figure 3.20 shows the emission bands of carbon diox-                     ide and water vapor both appear together with nonradiating
                   ide and water vapor relative to blackbody radiation at 1090 K                   gases, the total emissivity of the gas is obtained by:
                   (1500°F). The emission of radiation for these gases occurs in
                   the infrared region of the spectrum. The inert gases and                                                           ε g = ε w + ε c − ∆ε                                         (3.108)
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X=X L Y =Y L
                                                                                                                                   (            )(                )
                                                                                                                                                                       12
                                                                                                                           1 + X 2 1 + Y 2 
                                                                                                                   2
                                                                                                                                                                                    (           )                           X
                                                                                                                                                                                                 12
                                                                                                           Fij =          ln                                             + X 1+ Y 2                   tan −1                        K
                                                                                                                 π XY       1 + X + Y
                                                                                                                                     2    2
                                                                                                                                                                                                                   (1 + Y )   2 12
                                                                                                                                                                                                 
                                                                                                                                                                                                 
                                                                                                                    (          )                        Y
                                                                                                                               12
                                                                                                               +Y 1 + X 2              tan −1                          − X tan −1 X − Y tan −1 Y 
                                                                                                                                                (1 + X )
                                                                                                                                                                  12
                                                                                                                                                                                                 
Ri = ri L , R j = rj L
                                                                                                                    1 + R j2
                                                                                                           S = 1+
                                                                                                                        Ri2
                                                                                                                   1                                             
                                                                                                                                           ( ) 
                                                                                                                                                       2 12
                                                                                                           Fij =          2
                                                                                                                    S − S − 4 rj ri                             
                                                                                                                   2                                            
                                                                                                           H = Z X,            W =Y X
                           Perpendicular rectangles with a common edge
                                                                                                                    1           1           1
                                                                                                                                                                                (               )
                                                                                                                                                                                                    12
                                                                                                           Fij =        W tan −1   + H tan −1 − H 2 + W 2                                                   K
                                                                                                                   πW           W           H
                                                                                                               × tan −1
                                                                                                                                       1
                                                                                                                                                      +       ln 
                                                                                                                                                                       (
                                                                                                                                                             1  1 + W 1 + H K
                                                                                                                                                                       2      2
                                                                                                                                                                                        )(              )
                                                                                                                          (   H +W
                                                                                                                               2
                                                                                                                                            )
                                                                                                                                           2 12              4  1+ W + H
                                                                                                                                                                 
                                                                                                                                                                         2
                                                                                                                                                                            (
                                                                                                                                                                            2
                                                                                                                                                                                                    )
                                                                                                                                                                                                                          
                                                                                                                          (                          )                            (                        ) 
                                                                                                                                                             W2                                                      H2
                                                                                                                 W2 1+ W2 + H2                                      H2 1 + H2 + W2                                      
                                                                                                               ×                                                 ×                                                      
                                                                                                                    (
                                                                                                                 1 + W W + H
                                                                                                                        2 2
                                                                                                                               )(
                                                                                                                                2
                                                                                                                                                      )                   (
                                                                                                                                                                     1 + H H + W
                                                                                                                                                                            2  2     2
                                                                                                                                                                                         )(                   )         
                                                                                                                                                                                                                          
Source: Adapted from F.P. Incropera and D.P. DeWitt, Fundamentals of Heat and Mass Transfer, 4th edition, John Wiley & Sons, New York, 1996.
              where the correction factor ∆ε can be obtained from Figure 3.23.                                                               Using mean beam length Le instead of L (the radius of
                                                                                                                                           hemisphere), gas emissivity is obtained, which in turn gives
                Normal emissivity of various surfaces is tabulated in
                                                                                                                                           radiant heat transfer to a surface due to emission from an
              Table 3.12.
                                                                                                                                           adjoining gas:
                 The mean beam length, Le, can be defined as the radius of
              a hemispherical gas mass whose emissivity is equivalent to                                                                                                                                    q = ε g As σTg4                    (3.110)
              that for the geometry of interest. Table 3.13 gives the mean
              beam length of numerous gas geometries and shapes from                                                                       where As is the surface area. The net radiation exchange rate
              Hottel.62 For geometries not covered in Table 3.13, the mean                                                                 between the surface at temperature Ts and the gas at Tg is then
              beam length can be approximated as                                                                                           given by
Heat Transfer 97
                                                         (             )             (                       )
                                                                           0.45
                                       α w = C w Tg Ts                            ε w Ts , pw Le Ts Tg               (3.112)
                                                         (             )            (                    )
                                                                           0.65
                                         α c = C c Tg Ts                          ε c Ts , pc Le Ts Tg               (3.113)
                   When both carbon dioxide and water vapors are present, the
                   total gas absorptivity is obtained by:
α g = α w + α c − ∆α (3.114)
                   where ∆α = ∆ε.                                                                                                     FIGURE 3.16 View factor for aligned parallel rectangles.29
                                                                                                                                                 1.0
                   3.5.8 Equation of Radiative Transfer                                                                                                   8
                                                                                                                                                                                                                            j
                                                                                                                                                                                                                                  rj
                                                                                                                                                              6
                   Consider the propagation of a “pencil” beam of radiant                                                                                         5                                                                    L
                                                                                                                                                 0.8                                                                              ri
                   energy through a participating medium. The radiant energy is                                                                                         4                                                   i
                                                                                                                                                                            3
                   absorbed by the medium, decreasing the intensity of the radi-
                                                                                                                                                 0.6
                   ant energy according to:                                                                                                                                     rj / L = 2
                                                                                                                                          Fij
1. 5
                                                      ∂I λ                                                                                                                                 1.25
                                                                       = − aλ I λ ,
                                                                                                                                                 0.4
                                                           
                                                                                                                                                                                                    1.0
                                                                                                                     (3.115)
                                                      ∂s  absorption                                                                                                                                    0.8
                                                                                                                                                                                                                0.6
                                                                                                                                                 0.2
                   where aλ is the spectral absorption coefficient, and s is a coor-                                                                                                                                  0.4
                   dinate along the path. Additionally, the intensity of the radia-                                                                                                                                         0.3
                                                                                                                                                 0.0
                   tion is increased by emission from the medium. The increase                                                                      0.1           0.2           0.4     0.6 0.8 1                 2         4     6        8 10
                   in the radiant intensity is given by:                                                                                                                                       L / ri
                                                        ∂I λ 
                                                                       = − aλ I λ                                  (3.117)
                                                        ∂s  outscatter
                                        ∂Iλ           σ
                                                     = sλ
                                        ∂s  inscatter 4 π                   ∫ I (s )Φ(s , s)dΩ
                                                                              4π
                                                                                     λ      i
                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                 i               i   (3.118)          FIGURE 3.18 View factor for perpendicular rectangles
                                                                                                                                      with a common edge.29
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FIGURE 3.19 Infrared thermal image of a flame in a furnace. (Courtesy of John Zink Co.)
                                             (a)                        1
                                                        Relative Blackbody
                                                                                                                                                                 2400K
                                                             Radiance
                                                                                                                  1200K
                                                                                                  600K
                                                                         0
                                                                             0   1000   2000   3000    4000    5000          6000         7000         8000          9000 10,000
                                                                                                      Wave Number, cm -1
                                                                                                      Carbon Dioxide
                                                                        1
                                             (b)
                                                        Relative Blackbody
                                                                                                                                                                 2400K
                                                             Radiance
                                                                                                                   1200K
                                                                                                  600K
                                                                         0
                                                                                 1000   2000   3000   4000     5000         6000          7000         8000          9000 10,000
                                                                                                      Wave Number,             cm -1
                                                                                                       Water Vapor
              FIGURE 3.20 Emission bands of (a) CO2 and (b) H2O.16
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Heat Transfer 99
                                                                                                             0.7
                                                                                                             0.6
                                                                                                             0.5
                                                                                                             0.4                                      pw L = 20 ft-atm
                                                                                                                                                          10
                                                                                                                                                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                       0.05
                                                                                                                                      0.04
                                                                                                            0.02                    0.03
                                                                                                                                   0.02
                                                                                                                                0.015
                                                                                                                               0.01
                                                                                                            0.01            0.007
                                                                                                           0.008         0.005
                                                                                                               500     1000   1500   2000     2500      3000       3500 4000            4500 5000
                                                                                                                                       Temperature, R
FIGURE 3.21 Emissivity of water vapor in a mixture with nonradiating gases at 1-atm total pressure and of hemispherical shape.62
0.3
0.2
                                                                                                                                                                         pw L = 5.0 ft-atm
                                                                   Gas Emissivity, Ac, of Carbon Dioxide
                                                                                                                                                                                   3
                                                                                                              0.1                                                              2
                                                                                                             0.08                                                         1
                                                                                                                                                                       0.6
                                                                                                             0.06                                                     0.4
                                                                                                             0.05                                                     0.2
                                                                                                             0.04                                                0.10
                                                                                                                                                               0.06
                                                                                                             0.03
                                                                                                                                                               0.04
                                                                                                             0.02                                           0.02
                                                                                                                                                       0.010
                                                                                                                                                      0.008
                                                                                                                                                     0.006
                                                                                                             0.01                                   0.005
                                                                                                            0.008                                 0.004
                                                                                                                                                 0.003
                                                                                                                                              0.002
                                                                                                            0.005
                                                                                                            0.004                     0.001
                                                                                                            0.003
                                                                                                                 500   1000 1500 2000 2500               3000 3500 4000                 4500 5000
                                                                                                                                     Temperature, R
                   FIGURE 3.22 Emissivity of carbon dioxide in a mixture with nonradiating gases at 1-atm total pressure and of hemispher-
                   ical shape.62
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                                                                                    0.07
                                                                                           Tg » 125° C                                    Tg » 540° C                                            Tg » 930° C
                                                                                    0.06
               Mixture Correction, De
                                                                                    0.05                                                                                                                                   3.0
                                                                                                                                                                                                                             2.0
                                                                                            L (pw + pc) = 5.0 ft-atm
                                                                                                                                                                                                                               1.5
                                                                                    0.04                                                                                                                                      1.0
                                                                                                                                          L (pw + pc) = 5.0 ft-atm
                                                                                    0.03                    3.0                                            3.0                                                                   0.75
                                                                                                                                                                  2.0
                                                                                                              2.0                                                    1.5
                                                                                    0.02                                                                            1.0                                                      0.5
                                                                                                                  1.5
                                                                                                                   1.0                                            0.75
                                                                                    0.01                            0.75                                          0.5
                                                                                                                 0.5                                                                                                        0.3
                                                                                                                                                            0.3
                                                                                                              0.3 0.2                                0.2                                                                 0.2
                                                                                    0.00
                                                                                        0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 0.4 0.6 0.8 1.0                                                       0.0 0.2 0.4 0.6 0.8 1.0
              FIGURE 3.23 Radiation heat transfer correction factor for mixtures of water vapor and carbon dioxide.63
              TABLE 3.12 Normal Emissivities, ε, for Various Surfaces                                                                               TABLE 3.13 Mean Beam Lengths Le for Various Gas
                           Material                                                        Emissivity, ε   Temp. (°F)        Description            Geometries
              Aluminum                                                                           0.09      212           Commercial sheet                                                                              Characteristic
              Aluminum oxide                                                                0.63–0.42      530–930                                                          Geometry                                     Length             Le
              Aluminum paint                                                                0.27–0.67      212           Varying age and            Sphere                                                             Diameter (D)      0.65 D
                                                                                                                          Al content                 (radiation to surface)
              Brass                                                                              0.22      120–660       Dull plate                 Infinite circular cylinder                                         Diameter (D)      0.95D
              Copper                                                                        0.16–0.13      1970–2330     Molten                      (radiation to curved surface)
              Copper                                                                            0.023      242           Polished                   Semi-infinite circular cylinder                                    Diameter (D)      0.65D
              Cuprous oxide                                                                 0.66–0.54      1470–2012                                 (radiation to base)
              Iron                                                                               0.21      392           Polished, cast
                                                                                                                                                    Circular cylinder of equal height and diameter                     Diameter (D)      0.60D
              Iron                                                                          0.55–0.60      1650–1900     Smooth sheet
                                                                                                                                                     (radiation to entire surface)
              Iron                                                                               0.24      68            Fresh emeried
                                                                                                                                                    Infinite parallel planes                                           Spacing between   1.80L
              Iron oxide                                                                    0.85–0.89      930–2190
                                                                                                                                                     (radiation to planes)                                              planes (L)
              Steel                                                                              0.79      390–1110      Oxidized at 1100F
                                                                                                                                                    Cube                                                               Side (L)          0.66L
              Steel                                                                              0.66      70            Rolled Sheet
                                                                                                                                                     (radiation to any surface)
              Steel                                                                              0.28      2910–3270     Molten
                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                             ∂Iλ
              where the subscript i in the integrand denotes the incident                                                                                                    ∂s
                                                                                                                                                                                          (              )
                                                                                                                                                                                 = − aλ + σ sλ Iλ + aλ Ibλ
FIGURE 3.24 Photographic view of a luminous flame. (Courtesy of John Zink Co.)
                   ential equation when scattering is considered. Analytical                               emitting radiant energy. This is not true. Radiant energy
                   solutions of the equation of transfer are possible only for                             is emitted only by the gases and solids (particularly car-
                   very simple geometries and boundary conditions. For more                                bon) present in the flame. The gaseous combustion prod-
                   complex geometries and boundary conditions, approximate                                 ucts H2O and CO2 are the gases that emit radiation in
                   solution techniques such as the spherical harmonics method                              significant quantities, while any radical species (such as
                   and the discrete ordinates method can be used. These meth-                              CO) in the flame are present at such small fractions and
                                                                                                           such thin pathlengths that their emission is typically neg-
                   ods are discussed further in Chapter 9. These approximate
                                                                                                           ligible. However, determining the concentration and tem-
                   solution techniques are more fully discussed in texts such as
                                                                                                           perature of H2O and CO2 within the flame is nontrivial
                                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   those by Modest63 and Siegel and Howell.59
                                                                                                           and, in fact, the gases are clearly nonisothermal.
                                                                                                       3. The presence of solid carbon particles within the flame
                   3.5.9 Radiation Emitted by a Flame
                                                                                                          (which give flames a yellowish color) can dominate the
                   Accurate estimation of the heat emitted from a flame is very                           radiant emission from the flame. Again, predicting the
                   difficult, for reasons that include:                                                   concentration (measured as a volume fraction) and tem-
                         1. The flame temperature is not known. While one can                             perature of these carbon particles is very difficult.
                            readily calculate an adiabatic flame temperature for a
                            given fuel, the actual flame temperature will be below this            Figure 3.24 shows a yellow luminous flame. The yellowish
                            value because the flame emits radiant heat.                          color of the flame is due to broadband radiation by carbon
                         2. The often-used term “flame radiation” suggests that some             particles. The flame shown was produced by combusting a
                            special mechanism is at work within the reaction zone                fuel oil atomized by steam. Flames with significant soot
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FIGURE 3.25 Photographic view of a nonluminous flame from a John Zink gas burner. (Courtesy of John Zink Co.)
              fractions significantly radiate directly from the flame. In               3.6 HEAT TRANSFER IN PROCESS
              contrast, nonluminous or slightly luminous flames (as shown                   FURNACES
              in Figure 3.25) emit only a small fraction of the energy                  A complete treatment of heat transfer in process furnaces is
              liberated by the combustion process.                                      beyond the scope of this chapter, but the chapter would not
                 Figure 3.26 shows a radiant wall burner. In this burner, a             be complete without describing, albeit briefly, the phenom-
              mixture of fuel and air jets out radially from the burner. Very           ena at play in process furnace heat transfer.
              near the burner, the wall is dark because the flame “stands off”             Process furnaces are a good example of systems that incor-
              of the burner exit. Further away from the burner, the refractory          porate all the heat transfer mechanisms concurrently at work
              surface is a bright yellow color. In this particular application,         in gases, liquids, and solids. The challenge is to achieve good
              the temperature of this refractory is above 2000°F (1100°C).              heat transfer in the radiation and convection mechanisms.
              As illustrated in the photograph, the visible radiation from the          Conduction plays only a minor role in getting the heat from
              hot refractory surface dominates any flame radiation in the               the flame to the process fluid, but it is the primary mechanism
              visible region, rendering the flame invisible to the human eye.           at work in preventing heat loss to the surroundings.
              This burner is very common in ethylene pyrolysis furnaces,                   For the following discussion, refer to Figure 3.1 at the
              where the burner is used to heat a refractory wall. The primary           beginning of this chapter. The main part of the furnace that
              heat transfer mode to the refractory wall is probably convec-             contains the burner flames is the radiant section. The process
              tive, although gas radiation plays a role. The hot wall then              heating tubes are located in the radiant section in various
              radiates energy to process tubes that run parallel to the wall            arrangements. In low temperature furnaces (gases exit the
              at a distance of approximately 3 feet (1 m).                              radiant section at less than 800°C (1500°F)), the process tubes
                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 3.26 Photographic view of a radiant wall burner. (Courtesy of John Zink Co.)
                   are often located close to the walls of the furnaces, and in                 spectrum, their emission into the infrared spectrum is quite
                   high temperature furnaces (gases exit the radiant section at                 large. In typical cracking furnaces and some boilers where
                   more than 980°C (1800°F)), the tubes are usually suspended                   temperatures are high (above about 1800°F or 1000°C), the
                   in the main furnace space, away from the walls.                              furnace walls will glow bright orange or even yellow. In
                      In many furnace designs, a convection section is located                  these furnaces, it is frequently difficult to see a gas flame
                   downstream of the radiant section. The combustion gases that                 visually. This is because the walls are radiating in the visual
                   leave the radiant section flow through the convection section                spectrum. However, even though the naked eye cannot see
                   and then through the stack to be vented to atmosphere.                       any gas radiation from the flame, radiation from the flame
                   Depending on the design, an air preheater (not shown in                      is still a significant contributor to heat transfer. Figure 3.12
                   Figure 3.1) may be installed in the path to the stack to further             (the blackbody emissive power graph) showed that black-
                   extract heat from the flue gas. The convection section may                   body curves do not cross. This means that at any given
                   be used to preheat the process fluid, generate steam, or heat                wavelength, the hotter the radiator is, the higher the black-
                   another process fluid. Since the radiant section is the high                 body emissive power. The governing factor in heat transfer
                   temperature section of the furnace, the final passes of the                  in the radiation section is temperature because the radiant
                   heating process are located there.                                           heat transfer coefficient is directly proportional to the fourth
                                                                                                power of the temperature.
                     Radiation is the dominant heat transfer mechanism in the
                   radiant section. Both participating media (gaseous) radiation                  Convection also contributes to heat transfer in the radiant
                   and surface exchange are significant. It should be noted that                section. The furnace gases circulate vigorously inside the
                   even though gas flames emit only a little in the visible                     radiant section driven by the in-flow of combustion air, gas
                                                                                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                       (qt)/Lad
                   flame to the heat transfer surface at various locations in the                                           Lf = 0.24L
                   furnace varies widely. Since radiant transfer varies inversely
                   as the square of the distance between the radiant and the                                      0.04
                   absorptive bodies, flame radiation will not be uniformly
                                                                                                                                    Lf = 048L
                   delivered to all portions of the furnace. The heightened                                       0.03
                   requirement of uniformity of heat flux in ethylene cracking
                                                                                                                                             Lf = 0.72L
                   furnaces has driven the design of furnaces with multiple
                   small burners distributed uniformly over the furnace walls.                                    0.02
                      Flame radiation does not dominate the radiation process in                                                                      Lf = L
                   the furnace. As an illustration, consider a combination burner                                 0.01
                   that can provide both a gas and oil flame in the same location
                   in a furnace. Even though the oil flame is three to four times
                                                                                                                  0.00
                   as radiant as the gas flame, the furnace performance and tube
                   surface temperatures are not significantly changed. Issues
                   such as these introduce controversy in the various schools of                                  -0.01
                   thought regarding furnace heat transfer. Experimentally deter-                                     0.0             0.2           0.4           0.6     0.8   1.0
                   mining the true radiant behavior in the furnace is very difficult                                                                 Z/L
                   and would entail several compromises that would make the
                   data questionable.                                                             FIGURE 3.28 Distribution of dimensionless average
                                                                                                  radiant flux density at the tube surfaces for various flame
                   3.6.2 Furnace Gas Radiation                                                    lengths (Lf = flame length, L = heater height, Z = height).67
                   An analysis of the heat capacities of furnace gases indicates
                   that gases that radiate in the infrared, carbon dioxide and
                                                                                                     Consider a lb-mol of methane as 380 scf. At 910 Btu/scf,
                   water, only carry about 33% of the total heat released. Con-
                                                                                                  the lower heating value of a lb-mol of methane is 345,800
                   versely, 63% of the heat is contained in other gases, namely,
                                                                                                  Btu. If it is presumed that 10% of the heat is radiated directly
                   oxygen and nitrogen.
                                                                                                  by the flame burst, the heat content of the gases is 311,220
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              part of the flame. These gases are in a homogeneous mixture               At steady state, the refractory reaches and maintains a
              in which a portion of the gases is radiant-capable and a portion       thermal equilibrium. The amount of energy reaching the
              is not. The heat energy of a portion of the gases is being             refractory is either re-radiated back or lost to the surroundings
              dissipated by radiation to produce a steady decrease in heat           through conduction to the outside of the furnace. Analysis of
              content within these gases. The other portion that does not            the possible radiant heat transfer components that could trans-
              radiate then transfers its heat to the radiating gases as their        fer energy to the refractory do not account for all the heat
              temperature decreases.                                                 that is in fact reaching the refractory. The difference, a sig-
                 However, the emissivity of the radiating gases is quite low.        nificant amount, is therefore coming from convection. As the
              The quantity of heat radiated is a relatively small portion of         hot gases sweep down the walls of the furnace, they heat the
              the total heat content of the gases, so a significant amount of        walls by a combination of radiation and convection. To
              the heat transfer occurs when the gases come into close prox-          achieve these rates of convection, the gas velocity in the
              imity of the heat transfer tubes. First, the contact of the gases      proximity of the walls has to be quite high. Reed stated that
              with the surface of the tubes and refractory walls transfers           gas velocities could reach 50 ft/sec in the vicinity of the walls.
              heat by convection. Second, the close proximity of the gases              It is common to think of only the refractory areas that glow
              to these surfaces makes the radiation transfer higher since            as being radiant. In reality, all the hot surfaces, whether they
              distance is minimized. Thus, the heat transfer in this combi-          are visibly elevated in temperature or not, radiate. The visibly
              nation mode depends on the vigorous furnace hot gas currents.          glowing surfaces are, of course, radiating more than the
                                                                                     darker surfaces. Generally speaking, refractory surfaces pos-
              3.6.3 Refractory Surface Radiation                                     sess high emissivity and thus readily deliver their heat by
                                                                                     radiation.
              The furnace interior refractory walls have a much greater sur-
              face area than the surface area of the heat transfer tubes.
              Therefore, proportionally greater energy is delivered to the           3.6.4 Analysis of Radiation Heat Transfer
              furnace refractory surfaces. Refractory has a very high heat           In this and following discussions, flame radiation is approxi-
              capacity. The refractory’s ability to store heat exceeds that of       mated by treating the flame as a isothermal cylinder of gases.
              the gases and tube materials. Thus, initially, a significant           These gases can be reasonably assumed to be 17% H2O
              portion of the furnace heat up time is due to the heat capacity        (by mole) and 8% CO2 (by mole) at 1540°C (2800°F). For
              of the refractory.                                                     illustration purposes, the mean beam length of the flame is
                 Refer back to Table 3.3 for the specific heats of some              assumed to be 1 m (3.3 ft), however, this is only an approxi-
              common materials. One can see that an average refractory               mation. Better accuracy requires more information to calcu-
              brick has a specific heat of approximately 0.2 Btu/lb-°F,              late the mean beam length. The pressure-pathlength for H2O
              almost double that of carbon steel. The largest heat storage           is then 0.56 atm-ft, and for CO2, the pressure-pathlength is
              occurs in the refractory. To illustrate the magnitude, let us          0.264 atm-ft. From Figures 3.21 and 3.22, the emissivity of
              consider a furnace that is 30 ft × 30 ft × 40 ft (9 m × 9 m ×          the water vapor is about 0.1, while the emissivity of the CO2 is
              12 m). With six in. (15 cm) of refractory thickness, the furnace       about 0.065. The total emissivity (uncorrected) is then 0.165.
              now has approximately 200,000 lb (90,000 kg) of refractory.            Figure 3.23 indicates a 5% correction to the combined emis-
              The quantity of heat stored in the refractory can be estimated         sivity, so the corrected flame emissivity is 0.157. At 1540°C
              using the formula:                                                     (2800°F), the blackbody emissive power is Eb–flame = σT4 =
                                                                                     5.67 × 10–8 (1540 + 273)4 = 610 kW/m2 = 194,000 Btu/ft2.
                                               Q = m × Cp × (T1 – T2)                   Figure 3.29 is an illustration of a vertical/cylindrical fur-
                                                                                     nace. In this style of furnace, the burners (shown here as a
                 Assume the refractory heats up from an ambient tempera-             single flame) are surrounded by process tubes. The furnace
              ture of T2 = 70°F to a steady-state average temperature of             shell is just outside the process tubes. The radiative circuit
              500°F. The average is the temperature midway in the thick-             diagram in the figure shows how radiative heat flows from the
              ness of the refractory. The hot surface will be considerably           flame to the tubes and refractory walls. To use this diagram,
              hotter and the cold surface typically around 200°F. The                the emissivity values for the flame, refractory wall, and tube
              amount of heat stored in the refractory is:                            surfaces are required. For illustration purposes, the flame
                                                                                     emissivity determined above (0.157 for a flame temperature
                          Q = 200,000 lb × 0.2 Btu/lb-°F × (500 – 70)°F              of 2800°F [1540°C]), a typical refractory emissivity of 0.65,
                                       Q = 17.2 × 106 Btu                            and a typical tube surface emissivity (oxidized metal) of 0.85
                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   will be used. To compute view factors, some dimensions need                   is not that small). For calculation purposes, an inside surface
                   to be assumed, such as a furnace diameter of 10 m, a flame                    refractory temperature of 650°C (1200°F) and a tube surface
                   diameter of 1 m, and a tube diameter of 20 cm. Then, a                        temperature of 430°C (800°F) is assumed.
                   calculation using the formula in Table 3.10 gives the view                       The circuit diagram shown in Figure 3.29 leads to a system
                   factor from the flame to a single tube as 0.022. If one assumes               of three linear equations. Since the height of the furnace has
                   that there are 16 tubes in the furnace, then the view factor                  not been specified, all the results will be per unit height. The
                   from the flame to the tubes is Fflame-tubes = 16 × 0.022 = 0.352.             solution of these equations gives the radiative heat flux from
                   Assume that the flame radiation that is not incident on the                   the flame as 284 kW/m (294,000 Btu/hr-ft), the heat flux to
                   tubes is incident on the refractory, so that Fflame-refractory = 1 –          the tubes is 251 kW/m (260,000 Btu/hr-ft), and the heat flux
                   Fflame-tubes = 0.648. Since there is no view factor catalog entry             to the furnace refractory is 33 kW/m (34,000 Btu/hr-ft).
                   to help in computing the view factor from the tubes to the                    These results mean, for instance, that the heat flux to the
                   refractory, this value will be assumed to equal one. This                     tubes is 260,000 Btu per foot of tube length. If the tubes
                   neglects the view factor from the tubes to the flame (which                   were 50 ft long, the total heat flux into the tubes would be
                   is small) and the fact that the tubes “see each other” (which                 13 x 106 Btu/hr.
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                                                                               L1        L2   L3
                                                                                                                        L1 = Furnace Wall
                                                                                                                        L2 = Second Refractory Layer
                                                                                                                        L3 = First Refractory Layer
                                                           Furnace
                                                        Reinforcement
                                                                                                                        T1
                                                                                                        T2
                                                                   Ambient                                                           Radiation
                                                                     Air
                                                                                              T3
                                                                                                                    Furnace
                                                                               T5   T4                               Gases
                                                                     T6
                                                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                           Furnace
                                                        Reinforcement
                                                                          r1 + L1 + L2 + L3                      r1 + L1
                                                                     ln                                    ln
                                                                             r1 + L1 + L2                           r1
                                                                                2F k3                            2F k1
                                                        T6                T5             T4              T3
                                                                                                                                 T2                       T1
                                                                1                       r + L1 + L2                                        1
                                                                                     ln 1
                                                     2F (r1 + L1 + L2 )houtside            r1 + L1                                    2F r1 hinside
                                                                                          2 F k2
              3.6.5 Heat Transfer Through the Wall of                                                 the flue gases and flame, respectively. This heat is conducted
                                                                                                      through the refractory and eventually convected away by
                    a Furnace
                                                                                                      natural and forced (wind) convection on the outside of the
              Figure 3.30 illustrates a typical furnace wall. The outer layer                         shell. A typical inside heat transfer coefficient is 30 W/m2-K
              of the furnace wall is the steel furnace shell. The inner layers                        (5.3 Btu/hr-ft2-°R). A typical outside heat transfer coeffi-
              typically consist of refractory brick and, perhaps, soft refrac-                        cient is 17 W/m2-K (3 Btu/hr ft2-°R). If the refractory (both
              tory blanket. The circuit diagram on the figure indicates how                           blanket and brick) conductivity is assumed to be 0.5 W/m-K
              the heat transfer through the wall can be analyzed. All three                           and the steel conductivity is 100 W/m-K, then the heat flux
              heat transfer mechanisms are indicated. The inside surface is                           through the wall can be computed. Using the radiative heat
              subjected to both convective and radiative heat transfer from                           flux from the previous analysis as 33 kW/m, assume a
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Tube Wall
                                                                   Furnace
                                                                    Gases
                                                                                                 Process Fluid
                                                                                                                                         Furnace
                                                                                                                                          Gases
                                                           Coking
                   refractory surface temperature of 650°C (1200°F) and a flue              tube exterior surfaces can be readily added to get a more
                   gas temperature of 675°C (1250°F). Assume that the blanket               physically realistic calculation.
                   thickness (L1) is 5 cm (2 in.),the brick thickness (L2) is 5 cm
                   (2 in.) and the steel thickness is 1.25 cm (0.5 in.); then the           3.6.7 Furnace Gas Flow Patterns
                   circuit analysis gives the total heat flux through the furnace           As previously noted, in low temperature furnaces the tubes
                   wall as 56kW/m (58 Btu/hr ft), and the outer skin tempera-               are usually located very close to the walls. Again, since the
                   ture is 92°C (200°F).                                                    radiation is inversely proportional to the square of the dis-
                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                            tance, the radiation from the walls to the tube is significant
                   3.6.6 Heat Transfer in the Process Tube                                  when the tubes are close to the walls.
                   Figure 3.31 shows a cross-sectional view of a process fluid                 In the case of radiant wall furnaces used in ethylene crack-
                   flowing through a tube. Radiant heat is incident on the outer            ing operations, the wall is directly heated by the flame in
                   surface of the tube, along with convection heat transfer from            order to capitalize on the high heat capacity of the refractory.
                   the furnace gases. This heat is conducted through the wall of            The quantity of ethylene produced is maximized when the
                   the tube. Any coking or scaling on the inside or outside sur-            heat is applied evenly to the entire length of the tube. The
                   face of the tube will add to the heat transfer resistance,               ideal way to accomplish this is to heat the wall and allow it
                   which will subsequently increase the outside surface tem-                to radiate to the tubes. The high heat capacity of the refractory
                   perature. Heat transfer into the process fluid can be analyzed           acts as a huge capacitance that helps to smooth out peaks in
                   using the formulae given earlier in this chapter. The circuit            the temperature profile.
                   analysis shown in the previous two examples can also be                     In the low temperature furnaces, the heating of the refrac-
                   applied to this example. Additionally, the effects of extra              tory walls is caused by the hot gases sweeping down the
                   heat transfer resistance due to coke or scale buildup on the             walls. The flow of gases between the tubes and the walls is
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              important, as the example below will illustrate. The flames                                 was put back into service, it had regained its original heat
              heat the gases and buoyancy causes them to rise. As the gases                               transfer capability. No change other than the refractory repair
              close to the tubes deliver heat to the tubes and walls, they                                had been implemented. Because of this, it was surprisingly
              cool down, become denser, and flow down toward the bottom                                   evident that the increased space between the tubes and the
              of the furnace. This establishes a circulation pattern within                               wall accounted for increased heat absorbing ability.
              the furnace, such that the gases rise up from the flames and
              reverse direction higher up in the furnace and flow down the                                3.6.7.1 Tube-to-Wall Spacing
              wall and tubes to the furnace floor. Upon reaching the floor,                               Reed conducted experiments at a reduced scale to evaluate the
              the gases are reheated to either make another circuit or to                                 influence of tube to wall spacing.68 A test heater was constructed
              exit from the furnace en route to the stack. The benefit of                                 using tubes with an outer diameter of 1/4 in. (6 mm). The test
              recirculation is optimum when the tubes are on typical two-                                 furnace dimensions were 18 × l8 × 27 in. (46 × 46 × 69 cm).
              diameter centers, and decreases as the center-to-center dis-                                There was a provision to accurately adjust the tube-to-wall
              tance is reduced to less than two diameters.                                                spacing and the relationship of the burner to the tubes. Accu-
                 Gases in such recirculation flow pass over the entire tube                               rately metered, saturated air was passed through the 3/16-in.
              areas as well as the wall behind the tubes, scrubbing the tube                              (4.8 mm) ID tubes as the source of heat absorption. A ther-
              surfaces for heat transfer by convection. Far more importantly,                             mocouple was used in the air stream at the exit from the
              they also scrub the refractory wall behind the tubes to contin-                             tubes to measure the temperature of the exiting air as well as
              ually deliver heat to the wall surface. Whether the tubes are                               the heat absorbed. The firing rate and excess air, as well as
              horizontal or vertical does not seem to make much difference.                               furnace temperature, were closely controlled to identical
                 There are several methods to visualize furnace gas flow                                  conditions for all tests.
              patterns. Today, CFD is the preferred engineering tool to study                                Reed reported that for a tube spaced one-half diameter off
              furnace flue gas patterns. Chapter 9 provides several examples                              the wall, the heat transfer to the tube is increased 13% over
              of such studies. On the other hand, in the furnace one may                                  the condition where the tube is tangent to the wall. If the tube
              use various powdery substances such as baking soda, partic-                                 is spaced one diameter off the wall, the heat transfer to the
              ulate carbon, etc. to observe furnace flow patterns. The powder                             tube is increased approximately 29% over the condition
              is usually introduced in the air stream to the burners and is                               where the tube is tangent to the wall. Further increase of the
              seen to glow briefly in the furnace. The glowing particles trace                            tube-to-wall spacing to as much as three to four diameters
              the flow patterns. This is a useful but approximate technique                               provided no increase in heat transfer. Still greater spacing
              because the persistence of the glowing is short, and if it is too                           actually created a decrease in heat transfer.
              short, it may adversely bias the conclusions being drawn.
                                                                                                             To verify that the gas flow behind the tubes was the con-
                 Reed67 mentions an incident to illustrate the importance of
                                                                                                          tributor to the enhanced heat transfer at a tube-to-wall dis-
              furnace gas flow between the tubes and walls. A heater had
                                                                                                          tance of one tube diameter, an additional experiment was
              operated satisfactorily for years. As operation progressed, it
                                                                                                          conducted. In this experiment, the tubes were spaced one
              was noted that the heater was rapidly losing heat transfer
                                                                                                          diameter off the wall to produce the 29% increase in heat
              ability, despite the fact that there had been no change in
                                                                                                          transfer. Strips of mica 0.003 in. (0.08 mm) thick were placed
              operation which might account for the decrease. There was
                                                                                                          in the space between the tubes and the wall at the centerlines
              no change in pressure drop, so the possibility of coke lay-
                                                                                                          of the tubes to block the space between the tubes and the wall
              down was rejected. The deterioration in performance came
                                                                                                          with material that is substantially transparent to infrared. The
              about in less than six months and was noticeable on a day-to-
                                                                                                          purpose was to avoid blocking radiant transfer while com-
              day basis as the heater operated.
                                                                                                          pletely blocking the flow path for gases in the space between
                 The heater had been in service for many years and was due
                                                                                                          the tubes and the wall behind them. With the mica strips, the
              for repairs including replacing the refractory side walls which
                                                                                                          heat transfer to the tubes was exactly the same as was
              were sagging inwards. The walls, supported independently of
                                                                                                          observed with the tubes tangent to the wall. In other words,
              the steel that supported the tubes, were gradually moving
                                                                                                          the 29% performance gain was lost due to the blockage.
              toward the tubes. The space between the walls and the back
              sides of the tubes was reduced to such a degree that most of
              the side walls were actually resting against the tubes.                                     3.6.8 Role of the Burner in Heat Transfer
                 The heater was shut down and the side walls were repaired                                Simple release of an adequate amount of heat to the furnace
              to make the space between the tubes and the wall one full                                   atmosphere is not the only objective for the burner. Proper
              tube diameter, which in this case was four in. When the heater
                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                          choice of burners is critical to the performance of the heater.
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                   There are no hard and fast rules to govern the choice of burn-              ing excessive heat to any local heat transfer area. Local
                   ers. The design of the furnace and the burner must be matched               overheating and flame impingement must be avoided at all
                   carefully to achieve good overall performance. There is no                  costs. Flame impingement does not occur solely due to
                   single burner design that can be universally applied.                       burner performance. The burner has only limited control over
                      The function of the burner equipment is to deliver heat to               the characteristic flow patterns of a furnace. It is possible to
                   the gas content of the furnace as uniformly as possible.                    modify a burner to eliminate flame impingement by changing
                   Reaching this ideal condition would require an infinitely                   the fuel jet configurations, but there is only a narrow window
                   large number of small burners. Ethylene cracking and hydro-                 of opportunity here, because radical modifications will
                   gen reforming furnaces most closely approximate this ideal                  require compromises in other areas of burner performance
                   arrangement by using many small burners. Over the last                      such as capacity or emissions.
                   100 years, the quest for better heat transfer has resulted in a                Flame length is of utmost importance in burner design,
                   myriad of furnace designs. It follows that many burner designs              although flame length and heat dispersion are not necessarily
                   were developed to fit the various furnace designs. In the past,             in a fixed relationship. Providing short flames exclusively for
                   when emissions were not regulated, the primary requirement                  all applications is not the answer either, because some appli-
                   for the burner was effective heat transfer. Typically, the old              cations require long flames to reach further into large furnaces
                   burner designs rapidly mixed the fuel and air, resulting in                 or to deliver heat to locations further away from the burner.
                   short flames. Emissions regulations have now driven the                     For example, in the typical floor-fired steam reformer, it is
                   design of burners for the last two or three decades. The pri-               necessary to drive the hot gases from the furnace floor to the
                   mary requirement is now to meet the emissions regulations                   top of the furnace to distribute heat to the tube areas where
                   without compromising furnace performance. This conflicting                  maximum heat density is demanded. Nowadays, most steam
                   challenge has been met with considerable engineering inge-                  reforming furnaces are down-fired for this reason. The con-
                   nuity over the years. Low-NOx burners designed in the last                  trary is true in side-wall fired steam reformers.
                   two decades tend to have longer flames because the strategy                    In radiant wall firing, the burners are located in areas where
                   for NOx reduction was to delay mixing and thereby reduce                    maximum heat transfer is demanded. The flame is expected
                   peak flame temperatures.                                                    to remain close to the wall and not penetrate forward into the
                      Over the years, furnace manufacturers as well as burner                  furnace at all. This is because the furnaces are narrow and
                   manufacturers have researched heat flux profiles in various                 the burners are located quite close to the tubes which may be
                   burner–furnace combinations. Again, CFD is a great help in                  either vertically or horizontally suspended at the center of the
                   studying heat flux profiles, but even with today’s sophisticated            furnace. The “terrace wall” furnace design for the same appli-
                   modeling capabilities and advanced instrumentation, exact                   cation is a prime example of the differentiation between heat
                   measurements are not possible. Exact measurements are dif-                  dispersion and flame length. The burners are mounted in
                   ficult to obtain because apart from the obvious problem of                  terraces on the side wall in much the same way as a floor-
                   working in a high temperature zone, the geometry of the                     mounted burner, and the flame is fired vertically up the wall.
                   furnace and the re-radiation from various furnace surfaces                  In this design, the flame is considerably longer than the small
                   make the analysis complicated. With wall fired burners, either              wall burners, yet the service performed is identical.
                   floor mounted or wall mounted, it is somewhat easier to                        In a typical process heater, the demand for very precise
                   predict heat flux patterns. However, in furnaces that have free             control of heat density per linear foot of tube is not as great
                   standing flames, the heat flux patterns tend to be specific to              as in a steam-reformer furnace. It is possible to use a smaller
                   that burner–furnace combination.                                            number of larger burners to obtain satisfactory firing condi-
                      If a desired heat flux pattern is identified, it is possible to          tions and heat dispersion, but the burners must be suited to
                   engineer the flame shape to attempt to meet the requirement.                the service. Sometimes, burners capable of reasonably short
                   Previous experience can help define the burner design                       flames have not had satisfactory heat dispersion characteris-
                   required. On the other hand, the outcome can only be esti-                  tics and must be replaced to reduce tube damage.
                   mated if there is no previous experience with that particular                  Some designs have stand-alone flame burners that are
                   furnace–burner combination. In such cases, some final testing               mounted on the side walls of the furnace with the flame fired
                   and adjustment is usually required. Consequently, burners                   straight into the furnace space. This is not the same as the
                   have been developed over the years with flames of every                     ethylene cracking or reforming radiant wall arrangements.
                   reasonably conceivable shape.                                               Those are lower temperature furnaces where the design deci-
                      Burner flames must be shaped and directed to allow the                   sion has been made to mount a stand-alone flame burner on
                   required heat diffusion to the furnace gases without deliver-               the side wall instead of the floor to reduce the initial cost of
                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              the furnace. Side wall mounting costs less since the furnace            REFERENCES
              does not have to be elevated to install burners below it, and,
              often, less burners are required. However, floor firing has                1. B. Gebhart, Heat Transfer, 2nd edition, McGraw-Hill,
              some advantages over side wall firing. With floor-mounted                     New York, 1971.
              burners the heater can typically be fired 25% harder. This is              2. F. Kreith and M.S. Bohn, Principles of Heat Transfer,
              because floor mounting makes better use of the combustion                     Harper & Row, New York, 1986.
              volume and provides more uniform heat distribution.                        3. J.P. Holman, Heat Transfer, 7th edition, McGraw-Hill,
                 Either way, there will be greater service from the heater                  New York, 1990.
              when a relatively large number of small burners are used                   4. A. Bejan, Heat Transfer, John Wiley & Sons, New
              rather than a small number of large burners. If there is a                    York, 1993.
              relatively small number of large burners, there is a greater
                                                                                         5. F.P. Incropera and D.P. Dewitt, Introduction to Heat
              mass of gas issuing from each burner and a greater concen-
                                                                                            Transfer, 3rd edition, John Wiley & Sons, New York,
              tration of heat before the burner. This larger mass of gases
                                                                                            1996.
              and quantity of heat must then be dispersed evenly to the
              furnace atmosphere for good performance. It is far easier to               6. A.F. Mills, Heat Transfer, 2nd edition, Prentice-Hall,
              disperse smaller amounts of gas and heat as issued by several                 Englewood Cliffs, NJ, 1998.
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                     21. N.P. Cheremisinoff, Ed., Handbook of Heat and Mass                 40. S. Kakac and Y. Yener, Convective Heat Transfer, 2nd
                         Transfer, four volumes, Gulf Publishing, Houston, TX,                  edition, CRC Press, Boca Raton, FL, 1995.
                         1986.                                                              41. P.H. Oosthuizen, An Introduction to Convective Heat
                     22. F. Kreith, Ed., The CRC Handbook of Thermal Engi-                      Transfer, McGraw-Hill, New York, 1999.
                         neering, CRC Press, Boca Raton, FL, 2000.                          42. F.W. Dittus and L.M.K. Boelter, University of California,
                     23. V.S. Arpaci, Conduction Heat Transfer, Addison-Wes-                    Berkeley, Publications on Engineering, 2, 443, 1930.
                         ley, Reading, MA, 1966.                                            43. E.N. Sieder and G.E. Tate, Ind. Eng. Chem., 28, 1429,
                     24. M.N. Özisik, Boundary Value Problems of Heat Con-                      1936.
                         duction, Dover, New York, 1968.                                    44. B.S. Petukhov, Advances in Heat Transfer, Vol. 6,
                                                                                                T.F. Irvine and J.P. Hartnett, Eds., Academic Press,
                     25. U. Grigull and H. Sandner, Heat Conduction, Hemi-
                                                                                                New York, 1970.
                         sphere, Washington, D.C., 1984.
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                                                                                            45. L.F. Moody, Trans. ASME, 66, 671, 1944.
                     26. G.E. Myers, Analytical Methods in Conduction Heat
                         Transfer, Genium Publishing, Schenectady, NY, 1987.                46. E.S. Skupinski, J. Tortel, and L. Vautrey, Int. J. Heat
                                                                                                Mass Transfer, 8, 937, 1965.
                     27. B. Gebhart, Heat Transfer and Mass Diffusion,
                         McGraw-Hill, New York, 1993.                                       47. R.A. Seban and T.T. Shimazaki, Trans. ASME, 73, 803,
                                                                                                1951.
                     28. D. Poulikakos, Conduction Heat Transfer, Prentice-Hall,
                                                                                            48. C.B. Reed, Handbook of Single-Phase Convective Heat
                         Englewood Cliffs, NJ, 1994.
                                                                                                Transfer, S. Kakac, R.K. Shah, and W. Aung, Eds.,
                     29. F.P. Incropera and D.P. DeWitt, Fundamentals of Heat                   Wiley Interscience, New York, 1987, chap. 8.
                         and Mass Transfer, 4th ed., John Wiley & Sons, New
                                                                                            49. H. Schlichting, Boundary Layer Theory, 6th edition,
                         York, 1996.
                                                                                                McGraw-Hill, New York, 1968.
                     30. P.J. Schneider, Conduction Heat Transfer, Addison-                 50. R. Hilpert, Forsch. Geb. Ingenieurwes., 4, 215, 1933.
                         Wesley, Reading, MA, 1955.
                                                                                            51. J.D. Knudsen and D.L. Katz, Fluid Dynamics and Heat
                     31. H.S. Carslaw and J.C. Jaeger, Conduction of Heat in                    Transfer, McGraw-Hill, New York, 1958.
                         Solids, 2nd edition, Oxford University Press, London,
                                                                                            52. S.W. Churchill and M. Bernstein, J. Heat Transfer, 99,
                         1959.
                                                                                                300, 1977.
                     32. A. Garg, How to boost the performance of fired heaters,
                                                                                            53. E.D. Grimison, Trans. ASME, 59, 583, 1937.
                         Chem. Eng., 96(11), 239-244, 1989.
                                                                                            54. A. Zhukauskas, Heat transfer from tubes in cross flow,
                     33. V.S. Arpaci, Convection Heat Transfer, Prentice-Hall,                  in Advances in Heat Transfer, Vol. 8, J.P. Hartnett and
                         Englewood Cliffs, NJ, 1984.                                            T.F. Irvine, Jr., Eds., Academic Press, New York, 1972.
                     34. C.S. Fang, Convective Heat Transfer, Gulf Publishing,              55. W.A. Gray and R. Müller, Engineering Calculations in
                         Houston, TX, 1985.                                                     Radiative Heat Transfer, Pergamon, Oxford, U.K., 1974.
                     35. S. Kakac, R.K. Shah, and W. Aung, Eds., Handbook of                56. J.A. Wiebelt, Engineering Radiation Heat Transfer,
                         Single-Phase Convective Heat Transfer, John Wiley &                    Holt, Rinehart and Winston, New York, 1966.
                         Sons, New York, 1987.
                                                                                            57. E.M. Sparrow and R.D. Cess, Radiation Heat Transfer,
                     36. L.C. Burmeister, Convective Heat Transfer, 2nd edition,                Augmented Edition, Hemisphere, Washington, D.C., 1978.
                         John Wiley & Sons, New York, 1993.                                 58. D.K. Edwards, Radiation Heat Transfer Notes, Hemi-
                     37. W.M. Kays and M.E. Crawford, Convective Heat and                       sphere, Washington, D.C., 1981.
                         Mass Transfer, 3rd edition, McGraw-Hill, New York,                 59. R. Siegel and J.R. Howell, Thermal Radiation Heat
                         1993.                                                                  Transfer, 2nd edition, McGraw-Hill, New York, 1981.
                     38. A. Bejan, Convection Heat Transfer, 2nd edition, John              60. M.Q. Brewster, Thermal Radiative Transfer and Prop-
                         Wiley & Sons, New York, 1994                                           erties, John Wiley & Sons, New York, 1992.
                     39. M. Kaviany, Principles of Convective Heat Transfer,                61. M. Planck, The Theory of Heat Radiation, Dover, New
                         Springer-Verlag, New York, 1994.                                       York, 1959.
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                  62. H.C. Hottel, Radiant heat transmission, in Heat Trans-                                                   k                Thermal conductivity, w/m·K
                      mission, 3rd ed., W.H. McAdams, Ed., McGraw-Hill,                                                                         Boltzmann’s constant
                      New York, 1954.                                                                                          L                Characteristic length, m
                                                                                                                               Nu               Nusselt number
                  63. M.F. Modest, Radiative Heat Transfer, McGraw-Hill,
                                                                                                                               P                Perimeter, m
                      New York, 1993.
                                                                                                                               Pe               Peclet number (Re·Pr)
                  64. C.E. Baukal, Heat Transfer in Industrial Combustion,                                                     Pr               Prandtl number
                      CRC Press, Boca Raton, FL, 2000.                                                                         p                Pressure, N/m2
                  65. C.J. Hoogendoorn, C.M. Ballintijn, and W.R. Dorresteijn,                                                 Q                Energy transfer, J
                      Heat-flux studies in vertical tube furnaces, J. Inst. Fuel,                                              q                Heat transfer rate, W
                      43, 511-516, 1970.                                                                                       q̇               Rate of energy generation per unit volume, W/m3
                                                                                                                               q″               Heat flux, W/m2
                  66. N. Selçuk, R.G. Siddall, and J.M. Beér, Prediction of                                                    R                Cylinder radius, m
                      the effect of flame length on temperature and radiative                                                  Re               Reynolds number
                      heat flux distributions in a process fluid heater, J. Inst.                                              Rt               Thermal resistance, K/W
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                Chapter 4
                                                Fundamentals of Fluid Dynamics
                                                                                                       Lawrence D. Berg, Wes Bussman, and Michael Henneke
TABLE OF CONTENTS
       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                    117
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              that are important in combustion systems, especially those in         scale of the volume for measurement. As the length scale gets
              the petrochemical industry.                                           long, the measured density may increase or decrease because
                                                                                    of variations within the sample. If the length scale gets too
                                                                                    short, then the sample may contain only several molecules of
              4.2 FLUID PROPERTIES                                                  the fluid, and the density will be inaccurate because of sam-
              Several thermophysical properties are commonly used in fluid          pling. The proper definition of density is then:
              mechanics analysis. This section presents a brief description of
              these properties as they relate to combustion systems.                                                                      m
                                                                                                                             ρ ≡ lim                            (4.1)
                                                                                                                                   L→ 0   V
              4.2.1 Density                                                         where m is the measured mass of the sample and V is the vol-
              Density is defined as the mass per unit volume of a fluid.            ume sampled. The limit in Eq. (4.1) is understood to approach
              Density is a point function, which means that it must be              zero, but to remain much larger than molecular dimensions.
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                   4.2.2 Viscosity
                   4.2.2.1 Definition
                   “Son, you are slower than molasses in January!” is an epithet
                   that many a parent routinely applies to a child for his slow
                   movement. While one hopes that age diminishes the truth of
                   this description, time has not diminished the truth of the
                   statement — molasses does pour very slowly when it is cold.
                                                                                                                                         FIGURE 4.2 Velocity profile of a fluid flowing along a
                   This is true for a significant number of other liquids as well:                                                       solid surface.
                   oils, fluids with glycerin, polymeric, and others. At the same
                   time, many other liquids seem to pour equally well at any
                   temperature. Water and alcohol are good examples of this.                                                             is the viscosity. Conceptually, viscosity then is the difficulty
                   These qualitative observations of the ease with which various                                                         that two fluid “layers” experience as they flow past each
                   liquids can be poured provide insight into the liquid property                                                        other. This is also expressed mathematically as:
                   of viscosity. Indeed, at a conceptual level, the “pour-ability”
                   of a liquid can be utilized to understand viscosity. For exam-                                                                                                            dV
                   ple, viscosity describes the rate at which a liquid pours out of                                                                                                τ=µ                                        (4.3)
                                                                                                                                                                                             dY
                   a container.
                      In combustion processes, pouring rates are not of direct                                                           or
                   interest. However, due to requirements for maintaining cer-
                                                                                                                                                                                            τ
                   tain heat releases, specific volumetric flows are required. In                                                                                                  µ=                                         (4.4)
                                                                                                                                                                                           dV
                   this case, viscosity could be descriptive of the power require-
                                                                                                                                                                                           dY
                   ments to supply a specific volumetric flow through a pipe.
                   From this description, it follows that as a property, viscosity                                                       where τ              = Shear stress
                   is only useful in describing liquids or gases in motion. There-                                                             µ              = Viscosity
                   fore, viscosity is the difficulty that various fluids have main-                                                                    dV
                   taining motion.                                                                                                                        = Velocity gradient
                                                                                                                                                       dY
                      While the above discussion is useful in understanding vis-
                   cosity from a conceptual point of view, in order to be useful                                                         4.2.2.2 Units
                   in engineering combustion solutions, a more exact definition                                                          4.2.2.2.1 Absolute Viscosity
                   that allows for quantitative analysis is required. For a fluid                                                        The units of stress are (force/area) and the units for the gradi-
                   flowing in a pipe or along any solid surface, the velocity at                                                         ent are (velocity/length). In English units, this is represented
                   the surface is zero. As distance from the surface increases, the                                                      as follows:
                   velocity also increases, as shown schematically in Figure 4.2.
                      Assume that each of the arrows in the figure is a discrete                                                               lbf      lbf 
                   “packet” of liquid. Because they are moving at different                                                                    ft 2     ft 2  (lbf )(sec)                                    (lbm)32.17
                                                                                                                                                       =         =                                 or                         (4.5)
                   velocities, as time passes they will move relative to each other.                                                           ft   1             ft 2                                         (ft )(sec)
                   This relative motion gives rise to a shear stress between the                                                               sec   sec 
                   different layers. If there were no velocity difference between                                                                ft
                   the layers, then no shear stress would exist. As the velocity
                                                                                                                                         In a similar manner, metric units for viscosity would, in general,
                   difference increases, the shear stress increases. The implica-
                                                                                                                                         be:
                   tion is that shear stress is proportional to the velocity gradient,
                   which is expressed mathematically as:
                                                                                                                                                                (N) ⋅ (sec)                               kg
                                                                                                                                                                                        or                                    (4.6)
                                                                                                                                                                     m2                             (m) ⋅ (sec)
                                                                         dV
                                                                   τ~                                                     (4.2)
                                                                         dY                                                              where
                                                                                                                                                      sec     =   Seconds
                   where τ is the shear stress, and the derivative is the velocity                                                                    N       =   Newtons
                   difference between different “layers” in the flow. The con-                                                                        m       =   Meters
                   stant of proportionality between shear stress and the velocity
                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                      kg      =   Kilograms
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              The metric unit in either form, if multiplied by 10–1, is called       4.2.2.3.1 Temperature Dependence and
              a poise. If the unit is multiplied by 10, it is called a centi-                     Multicomponent Liquids
              poise. Most tabular data for viscosity are either in terms of          As a property, viscosity arises from molecular interactions at
                                                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              poise, or the “lbm” formulation of English units. Occasion-            the atomic level. These interactions tend to be highly influ-
              ally, viscosity is tabulated in “lbf” form, or slugs utilized for      enced by the fluid temperature and type. For liquids in which
              the mass term. Because of the confusing nature of lbm vs.              there are strong secondary intermolecular bonds, an increase
              lbf, the reader is cautioned to carefully review the units uti-        in temperature would tend to weaken these bonds and viscos-
              lized in tabular data prior to utilization. All information pro-       ity would tend to decrease with higher temperature. For
              vided in the appendix is listed in centipoise.                         gases, intermolecular forces tend to be very weak and viscos-
                                                                                     ity is due to an exchange of momentum between shear layers.
              4.2.2.2.2 Kinematic Viscosity                                          In this case, as temperature increases, molecules will migrate
              In addition to pure, absolute, or dynamic viscosity, viscosity         to other areas of the flow at faster rates. The increased migra-
              information is often tabulated as viscosity divided by density.        tion results in increased momentum transfer or greater
              This is accomplished for convenience, as absolute viscosity            viscosity. The graph in Figure 4.3 clearly shows these trends
              often appears divided by density in real flow calculations.            for several common liquids and gases.
              This fluid property is termed the “kinematic” viscosity, and is           In addition to a temperature dependence, the hydrocarbon and
              expressed mathematically as:                                           petrochemical industries have the additional challenge of deter-
                                                                                     mining the viscosity for multiple constituent liquids. Oils, fuel
                                                                   µ                 gases, and natural gases are rarely of a single molecular type, but
                                                              ν=          (4.7)      rather a mixture with properties within certain boundaries. In this
                                                                   ρ
                                                                                     environment, empirical rules have been developed to provide
                                                                                     reasonable viscosity estimates for given bulk properties and tem-
              where
                                                                                     perature. Figure 4.4 provides a graphical temperature dependence
                             ν          = Kinematic viscosity (m2/sec)               for hydrocarbon gases based on molecular weight. The following
                             µ          = Absolute or dynamic viscosity              equation6 provides a method for calculating the viscosity of gas
                             ρ          = Fluid density                              mixtures if the individual components are known:
                                              Source: R.D. Reed, Furnace Operations, 3rd ed., Gulf Publishing, Houston, TX, 1981.
                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                          where ρm, ρA, and ρB, are the densities of the mixture, com-
                                             χ A = (αVA ) (αVA + VB )                                    (4.10)
                                                                                                                          ponent A, and component B, respectively. The value of µm
                                                                                                                          obtained by the correlation compares very well with the
                                                         χB = 1 − χA                                     (4.11)           experimental data, especially in the high viscosity region.
              where α is an empirical constant having a value between 0                                                   4.2.2.4 Kinetic Theory of Gases
              and 1.0; A is the more viscous component and B is the less vis-
                                                                                                                          Gases can be idealized as very small ping-pong balls bounc-
              cous component. VA and VB represent the volume composi-
                                                                                                                          ing around inside an enclosure. By systematically account-
              tion for a given mixture. The above equation has been
                                                                                                                          ing for the distance that a ball must travel prior to hitting
              reported to give satisfactory results for other combinations
                                                                                                                          another ball (mean free path, or λ), the average molecular
              and mixtures of petroleum fractions. Shu 8 developed the fol-
                                                                                                                          speed (c), and the number of balls per unit volume (n), vari-
              lowing correlation to obtain the empirical constant in the
                                                                                                                          ous properties of a fluid can be derived. These properties
              above equation:
                                                                                                                          include viscosity, thermal conductivity, diffusion, and oth-
                                                                                                                          ers. Typically, these properties are called transport proper-
                               α=
                                                 [
                                       17.04 ( ∆ρ m )
                                                              0.5237
                                                                       (ρA )
                                                                               3.2745
                                                                                        (ρB )
                                                                                            1.6316
                                                                                                     ]   (4.12)
                                                                                                                          ties because they involve the movement of some quantity
                                                                                                                          (momentum, heat, specie, etc.) throughout the fluid. For vis-
                                                              ln(µ A µ B )
                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 4.4 Temperature vs. viscosity for various hydrocarbons. (From J.B. Maxwell, Data Book on Hydrocarbons,
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   D. Van Nostrand Company, Princeton, NJ, 1950.)
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              FIGURE 4.5 Viscosity of mid-continent oils. (From J.B. Maxwell, Data Book on Hydrocarbons, D. Van Nostrand Company,
              Princeton, NJ, 1950.)
                                                                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   For most purposes, the following formula (Bird et al.17) can                                                                                   where u is the internal energy and T is the gas temperature;
                   be applied to a mixture of gases:                                                                                                              for a constant pressure process, the specific heat is defined as
                                                                                                                                                                  the change in enthalpy with temperature at constant volume:
                                                                                    µ mix =   ∑ (x µ ) (x φ )
                                                                                                      i   i           j       ij                  (4.13)
                                                                                                                                                                                                       C p = (∂h ∂T ) p                   (4.16)
                   where
                                                                                                                                                                  where h is the enthalpy of the gas and T is the gas temperature.
                                                                                                                                                                     Values for the constants Cv and Cp are provided for a variety
                                                                                    ∑ [(1 8) ](1 + M                               )
                                                                                                                                       −1 2
                                                                             φ ij
                                                                                               0.5
                                                                                                                  i   Mj                                          of substances in the Appendix.
                                                                                      (         ) (M                      )
                                                                                                                          14 2
                                                                               1 + µ µ          12
                                                                                                                  Mi                             (4.14)          4.2.3.1 Polynomial Expressions for
                                                                                   i  j                     j
                                                                                                                                                                        Combustion Gases
                                                                                                                                                                  For a calorically perfect gas, both Cv and Cp are constant with
                   where i and j refer to two species.                                                                                                            temperature. As noted, for a liquid, Cv and Cp have the same
                                                                                                                                                                  value and, in general, are fairly constant. For many applica-
                   4.2.3 Specific Heat                                                                                                                            tions, assuming a constant Cv and Cp is adequate. However, if
                   Heat capacity is defined as the heat input required to achieve                                                                                 large temperature variations are anticipated, or if the fluid is
                   a given temperature change. For gases, heat capacity is a                                                                                      highly non-ideal, then temperature-dependent Cv and Cp val-
                   function of the processes that the gas is undergoing. This                                                                                     ues are desirable.
                   occurs because as gases expand or compress they do pres-                                                                                          In the literature, many different expressions have been
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   sure-volume work on the surroundings. In general, two pro-                                                                                     developed to allow for variation of specific heat with temper-
                   cesses are considered: constant pressure and constant                                                                                          ature. The NASA polynomials are recommended for any
                   volume, resulting in two different heat capacities for gases:                                                                                  application. They are utilized in the CHEMKIN database and
                   Cv and Cp , which are defined below. In general, this is not the                                                                               have a known standard form. There is an existing FORTRAN
                   case for liquids and solids, which have a single heat capacity                                                                                 program to convert thermodynamic information into NASA
                   (or, for solids and liquids, Cv = Cp ).                                                                                                        polynomials, all of which are generally available.
                                                                                                                                                                     To enhance the usefulness of this approach, a description
                      The specific heat for a constant volume process is defined
                                                                                                                                                                  of the coefficients (from Kee10) is provided. In addition, the
                   as the change in internal energy with temperature at constant
                                                                                                                                                                  coefficients for three of the most common gases (N2, CO2,
                   volume. Therefore, the specific heat for a constant volume
                                                                                                                                                                  and H2O) are provided.
                   process is given by:
                                                                                                                                                                     The NASA polynomial form was developed as part of the
                                                                                                                                                                  original NASA equilibrium program. As a result, the data
                                                                                          Cv = (∂u ∂T )v                                          (4.15)          supplied in the database is always in the form of four-line,
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              representing the olden-day’s four punch cards. The first line             4.2.4 Equations of State
              contains (1) the molecule, (2) the date of coding the informa-
                                                                                        To accomplish many of the calculations required in the com-
              tion, (3) the number of different atoms, (4) the phase of the
                                                                                        bustion field, a thorough knowledge of how density varies with
              material, and then (5) the temperature range (in degrees
                                                                                        pressure and temperature is required. In this section, some of
              Kelvin) of applicability of the polynomials. Most commonly,
                                                                                        the more common state equations are reviewed, along with
              there are two ranges for the polynomials: a high-temperature
                                                                                        comments on possible limitations. An exhaustive review of
              range and a low-temperature range. If this is the case, the
                                                                                        every type of equation of state is beyond the scope of this
              common temperature for high and low is provided. The com-
                                                                                        chapter. The interested reader is referred to Smith et al.,10
              mon temperature is usually 1000 K (1300°F).
                                                                                        Modell et al.,11 or Van Wylen and Sonntag15 for additional
                 The second line contains coefficients a1 to a5 from the                information on different equations of state, and additional
              equations below. These coefficients are for the high-                     information regarding those that have been summarized below.
              temperature range. The third line contains coefficients a6 and
              a7, for the high-temperature range (see below), and a1, a2, and           4.2.4.1 Ideal Gas
                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              a3 for the low-temperature range. The fourth line contains
                                                                                        The ideal gas law has the following form:
              coefficients a4 to a7 for the low-temperature range. Equations
              for using the polynomials are:
                                                                                                                                 PV = nRT                           (4.17)
                           Cp                                                           where
                                       = a1 + a2 T + a3T 2 + a4 T 3 + a5T 4
                               R                                                                     P = Gas pressure
                           0
                      h            a     a       a       a       a                                   V = Volume under consideration
                             = a1 + 2 T + 3 T 2 + 4 T 3 + 5 T 4 + 6
                     RTUnits        2     3       4       5       T                                  n = Number of moles
                                                                                                     T = Temperature of gas (absolute, either Rankine or
                               s0                     a       a       a
                                  = a1 ln(T ) + a2 T + 3 T 2 + 4 T 3 + 5 T 4 + a7                        Kelvin)
                               R                       2       3       4
                                                                                                     R = Universal gas constant
              where                                                                                       = 8.314 kJ/(kmol-K)
                                                                                                          = 1545 ft-lbf/(lbmole-°R)
                               Cp         = Specific heat at constant pressure
                                                                                                          = 1.986 Btu/(lbmole-°R)
                               R          = Gas constant
                               h0         = Enthalpy                                    In addition to the above form, if both sides of the equation
                               s   0      = Entropy                                     are divided by the volume (V) term, and moles are converted
                               T          = Temperature, in degrees K                   to density by multiplying by molecular weight (MW), the
                                                                                        equation becomes:
                               TUnits = Temperature in preferred units (see below)
                                                                                                                             P = ρ
              It should be noted that the left-hand side of the above equa-                                                          R 
                                                                                                                                         T                          (4.18)
              tions is dimensionless. This means that the units of specific                                                        MW 
              heat, enthalpy, or entropy obtained are dependent on the units
              of the gas constant and temperature. Temperature must be                  The term (R/MW) is called the specific gas constant and, by
              absolute temperature, either Rankine or Kelvin. Enthalpies                inspection, is simply the universal gas constant divided by the
              and entropies are measured from a standard state, listed in               molecular weight of the specific gas.
              Kee.9 The above expression would be most useful when                         The ideal gas law can be derived from the kinetic theory
              calculating changes in enthalpy or entropy. Finally, the                  of gases.32 The two main assumptions that arise from the
              expressions do not account for disassociation. Actual heat                derivation are: (1) there exist no forces between molecules,
              stored at elevated temperatures (above ~ 2000°F or 1100°C)                and (2) all collisions are elastic. The fact that many gases
              must be evaluated by accounting for disassociation — either               frequently behave in this manner make this equation of state
              by including radical species (as in the NASA equilibrium                  extremely useful. Unfortunately, gases do not always meet
              code) or by modification of the polynomial expressions to                 the two stated criteria, which gives rise to alternative equa-
              account for the phenomena.                                                tions of state discussed in the following sections.
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                                                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 4.6 Compressibility factor, Z, as a function of reduced pressure and reduced temperature for different gases.
                   (From F. Kreith, The CRC Handbook of Mechanical Engineering, CRC Press, Boca Raton, FL, 1998.)
              ior can be assumed regardless of pressure, except when                                difference between points A and B within the pipe, as air
              PR >> 1. Finally, the deviation of a gas from ideal gas behav-                        passes through the restriction. Equations (4.26) and (4.27)
              ior is greatest near the critical point.                                              relate the pressure at point a to the values of the other param-
                 This method results in reasonably good results. Unfortu-                           eters on each side of the manometer:
              nately, the functional form of the compressibility chart usually
                                                                                                                            Pa = h1 γ H2O + (h3 − h1 )γ air + PA
              restricts this method to reading values from the chart.
                                                                                                                                                                                    (4.26)
              4.2.4.3 Redlich-Kwong Equation
              The development of cubic equations of state started from the                                                  Pa = h2 γ H2O + (h3 − h2 )γ air + PB                    (4.27)
              Redlich-Kwong equation in the following form:
                                                                                                                                  PA − PB = (h2 − h1 )γ H2O
              In addition, mixing rules exist for the two constants for multi-
                                                                                                                                                                                    (4.29)
              ple constituent gases. From Modell and Reid,11 they are as
              follows:
                                                                                                    This equation states that the difference in pressure between
                                                      n                     n                       points A and B is equal to the difference in the column height
                                   ( am )           ∑y a                   ∑yb
                                           12
                                                =              12
                                                             i i    bm =          i i   (4.25)      (h2 – h1) of water times the specific weight of water. For
                                                     i =1                  i =1                     example, suppose that the difference in the column height of
                                                                                                    water is 1.0 foot (γH2O = 62.4 lb/ft3), the pressure difference
              Except near the critical point, the Redlich-Kwong equation                            between points A and B is
              will provide values that are reasonable within experimental
              uncertainties, making it useful for mixtures encountered in
                                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                              lb         lb         lb
              the hydrocarbon and petrochemical industries. The constants                               PA − PB = 1.0 ft × 62.4                    = 62.4 2 = 0.433 2               (4.30)
                                                                                                                                              ft 3       ft        in.
              a and b can be determined from known critical temperatures,
              pressures, and mixture mole fractions.
                                                                                                       An inclined-tube manometer can be used to improve the
                                                                                                    accuracy of the pressure reading as compared to the vertical
                                                                                                    U-tube manometer. An inclined manometer consists of a tube
              4.3 FUNDAMENTAL CONCEPTS
                                                                                                    oriented at a slope, as shown in the illustration in Figure 4.8.
                                                                                                    The pressure difference between points A and B can be writ-
              4.3.1 Hydrostatics                                                                    ten as Eq. (4.31):
              4.3.1.1 Manometry
              A manometer is an instrument that utilizes the displacement
              of a fluid column to evaluate pressure. Manometers can have                                                        PA − PB = ( L sin φ) γ H2O    ( )                  (4.31)
              different shapes and can be oriented at various angles,
              depending on the application. Two of the most common types                            where the height of the column of air is neglected. Solving
              of manometers used in the flare and burner industry are the                           Eq. (4.31) for L gives:
              U-tube and inclined-tube manometers.
                 A U-tube manometer consists of a tube shaped in the form
                                                                                                                                                  PA − PB
              of a U, as illustrated in Figure 4.7. In this illustration, water,                                                         L=                                         (4.32)
              in the U-tube manometer, is used to measure the pressure                                                                           γ H2O sin φ
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                   4.3.1.2 Buoyancy
                   When an object is placed in a fluid, it tends to float if the den-
                   sity of the object is less than the density of the fluid. The
                   resultant force acting on the body is called the buoyant force.
                   The buoyant force is equal to the weight of the fluid dis-
                                                                                                                                                                                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   placed by the object and is directed vertically upward. This
                   phenomenon is referred to as Archimedes’ principle, in honor
                   of the Greek mathematician who first conceived of the idea.
                   The buoyant force can be written mathematically as follows:
                                                                                                        FIGURE 4.7 U-tube manometer.
                                                             FB = γ fluid V             (4.33)
                   where γair and γhelium are the specific weight of the atmos-
                   pheric air and helium, respectively, and Lballoon is the length of
                   the balloon. Notice that the pressure force created at the
                   ground is a function of the specific weight difference and the
                   length of the balloon — not the diameter. Also notice that the
                   pressure force at the ground increases linearly with the length                      FIGURE 4.9 Helium balloon attached to the ground.
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                     errors from occurring. For example, it is known that there is                       The following is a simple example to illustrate the differ-
                     an energy loss in a piping system if the pipe size increases,                    ences between these pressure concepts. Suppose there is a
                     either suddenly or gradually. Despite the energy loss, the                       pressure relief vessel that is venting to a flare system as
                     static pressure tends to increase if the pipe size is increased.                 illustrated in Figure 4.11. Assume that the pressure relief
                     According to the Bernoulli equation, as velocity is decreased,                   vessel is maintained at 1 psig during the flaring event. As the
                     the pressure is expected to increase. This being the case, pip-                  gas exits the vessel, it enters the flare header. If a pressure
                     ing pressure drop analysis would be a meaningless term if                        gage were placed on the pressure vessel and on the flare
                     only static pressure was included. Any analysis must include                     header somewhere downstream of the vessel, these gages
                     the total energy or total pressure of the system. Using total                    would not read the same pressure. At the vessel, the pressure
                     energy and total pressure, the following terms are defined:                      would obviously read 1 psig (7 kPag); however, the pressure
                                                                                                      gage on the flare header would read less than 1 psig (< 7 kPag).
                           Static pressure: the pressure term in the Bernoulli equation.              The concepts of static, velocity, and total pressure are used
                               This is normally understood as a pressure and is measured              to explain why the pressures are different.
                               directly by a pressure gage.                                              The total pressure is defined as the static pressure plus the
                           Dynamic pressure: the velocity term (1/2 ρV 2) from the Bernoulli          velocity pressure:
                              equation.
                           Total pressure: the sum of static and dynamic pressures. This                                                     PT = PS + PV                     (4.38)
                               term is utilized for most pressure loss analyses in a piping
                               system. When liquids are discharged to the atmosphere,                 where PT is the total pressure, PS is the static pressure, and PV
                               this term would also include potential energy changes.
        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                      is the velocity pressure. The static pressure is a measure of the
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              pressure where the gas velocity is zero. Therefore, the static          4.3.2.1.1 “K” Factors
              pressure of the vessel is obviously 1 psig (7 kPag). Because            As implied in the previous section, the Bernoulli equation is
              the velocity of the gas inside the vessel is zero, the velocity         logically utilized to analyze total pressure losses (or energy
              pressure must also be zero. From Eq. (4.38), the total pressure         losses) for piping systems. To accomplish the analysis, the
              of the vessel must be equal to the static pressure of the vessel.       equation is modified as follows:
              The pressure gage in the flare header reads the pressure at the
              wall of the pipe where the gas velocity is zero; therefore, this
              pressure gage must be reading the static pressure in the flare
              header. Because the gas is moving in the pipe, the velocity                      1                                     1         
                                                                                       ∆P + ∆       ρV 2  = Total pressure loss = K       ρV 2 
              pressure must be greater than zero. The velocity pressure in                     2 gc                                  2 gc      
              the flare header can be analyzed in two ways.
                                                                                                                      = K (Dynamic pressure) = KPv                ( 4.40)
                 First, assume that the pressure energy losses from the vessel
              to the pressure gage on the flare header are zero. If no energy
              losses are assumed, then the total pressure on the flare header            The two assumptions utilized to derive the Bernoulli equa-
              must be equal to the total pressure at the pressure vessel. It          tion were: (1) flow along a stream line, and (2) no friction or
              is also true that the pressure gage on the flare header must be         shear stresses. Piping systems satisfy the first assumption, but
              reading the static pressure at that location. Therefore, from           do not satisfy the second. Shear stresses arise when a fluid
              Eq. (4.38), the velocity pressure in the flare header must be           flows over or past a solid object, as discussed in Section 4.2.2
              equal to the total pressure minus the static pressure. For              of this book. Experience has shown (see Vennard and Street4)
              example, if the pressure gage on the flare header reads 0.8 psig        that the magnitude of the force will be proportional to the
              (6 kPag) and the total pressure is 1.0 psig (7 kPag), then the          dynamic pressure term (1/2 ρV 2). The constant of proportion-
              velocity pressure equals 0.2 psig (1 kPag).                             ality commonly utilized is “K”. Values of “K” for different
                                                                                      piping configurations and different fittings have been exten-
                 In reality, there will be pressure energy losses in the flare
                                                                                      sively studied and reported in the Crane Piping manual31 and
              header due to friction between gas molecules and pipe wall.
                                                                                      in Idelchik.12 In the literature, these constants are often
                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              Therefore, the total pressure in the header will not equal the
                                                                                      referred to as “K” factors.
              total pressure in the pressure vessel. One can measure the
              total pressure in the flare header by inserting a pitot tube into
              the header, as illustrated in the insert of Figure 4.11. The pitot      4.3.3 Control Volumes
              tube will measure the static pressure plus the impact pressure,         A common analysis methodology is the utilization of control
              or velocity pressure, of the gas. This is a measure of the total        volumes — also termed the integral method. Conceptually, the
              pressure inside the flare header. The velocity pressure in the          integral method entails enclosing the region of interest with
              flare header can now be determined by subtracting the total             control surfaces, then writing the appropriate conservation
              pressure reading from the static pressure reading. For exam-            equations for the enclosure. The method is discussed exten-
              ple, if the total pressure reads 0.9 psig (6 kPag) in the header        sively in Fox and McDonald.3 The interested reader is directed
              and the static pressure reads 0.7 psig (5 kPag) in the header,          to that reference for additional information.
              then the velocity pressure in the header must be equal to
              0.2 psig (1 kPag).                                                         In general, there are two types of physical quantities of
                                                                                      interest: extensive and intensive. For a given volume, exten-
                 As just mentioned, the velocity pressure is the pressure             sive properties describe the entire volume. They include:
              created due to the impact of the gas molecules. The velocity
              pressure in a gas stream can be calculated as follows:
                                                                                                             Total mass                            =      M
                                                                                                                                                            r
                                                               ρV 2                                          Momentum                              =      MV
                                                          PV =           (4.39)
                                                               2 gc                                                                                       r
                                                                                                             Angular momentum                      =      Ω
                      Intensive properties are properties per unit mass. As a prac-                          4.3.3.3 Energy Conservation
                   tical matter for systems of interest, an intensive property is
                   determined by dividing the extensive property by the mass,
                                                                                                                                                 d (E)
                   or density times the volume, of the control volume. For mass,                                                                       = δQ + δW                                (4.43)
                                                                                                                                                  dt
                   energy, and momentum conservation, the intensive variables
                   associated with the appropriate extensive variables are:
                                                                                                             The time rate of change of energy for the piece of mass is
                                                                                                             equal to the sum of the heat transferred (Q) and work (W).
                         Mass conservation :     M ⇒1                                                           Conceptually, the above conservation laws are reasonably
                                                     r                                                       easy to understand, but very difficult to apply. To accomplish
                         Momentum conservation :   ⇒V
                                                                                                             an analysis, it would be necessary to track and maintain
                         Energy conservation :                         E ⇒ e (enthalpy for                   information about all the possible pieces of mass that happen
                                                                             flow applications)              to flow through a control volume. The fundamental precept
                                                                                                             of utilizing control volumes for analysis is that it is possible
                      If a control volume is drawn around an area of interest, at                            to determine the time rate of change for a given extensive
                   any given instant in time the volume is filled with a certain                             property by determining: (1) the time rate of change in the
                   amount of mass, the control mass. At this instant in time, the                            control volume of the corresponding intensive property, and
                                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   control mass has the exact same shape as the control volume.                              (2) the flux in and out of the control volume of the same
                   The following conservation laws are valid for the control                                 intensive property. If an arbitrary extensive property is
                   mass, which is coincident with the volume for the instant in                              denoted as N, and its corresponding intensive property is
                   time as indicated by:                                                                     denoted as n, then, according to Fox and McDonald,3 the time
                                                                                                             rate of change for any extensive property is given by:
                                                                   dM
                                                                       =0                                                    dN                                                      r r
                                                                                                                                                                ∫              ∫
                                                                                             (4.41)                                             d
                                                                    dt                                                                        =                      nρdV +          nρV ⋅ dA   (4.44)
                                                                                                                             dt  PieceofMass dt
                                                                                                                                                                CV            CS
                   4.3.3.2 Momentum Conservation                                                             Equation (4.46) is the time rate of change of the arbitrary
                                                                                                             extensive property N within the control volume. This is
                                                             r                                               expressed as a product of the associated intensive property n,
                                                            ( )=             r
                                                                       ∑F
                                                          d MV                                               the density, and the volume (dV). The CV on the integral
                                                                             i               (4.42)          represents the control volume.
                                                              dt         i
                                                                                                                                                                r     r
                   The time rate of change of momentum for the piece of mass
                   is equal to the sum of the forces applied to the mass.
                                                                                                                                                      ∫ nρV ⋅ dA
                                                                                                                                                     CS
                                                                                                                                                                                                (4.47)
              Equation (4.47) is the net flux of the extensive property N                                                              of fluid phenomena is the differential formulation. Numerous
              through the boundary of the control volume. The product of                                                               excellent references exist (e.g., Panton,1 Potter and Foss,13 and
              density, velocity, and area is the mass flow rate. Thus, the                                                             Kuo14) for the reader interested in greater detail on this subject.
              equation really represents the mass flow in and out of the                                                               This treatment concentrates on the conceptual development of
              control volume times the associated intensive property.                                                                  the formulation and the final form. It is the intent of this refer-
                 The boundary is called the control surface, or CS. The                                                                ence to provide insight into the meaning of the equations, how
              vector dot product of the velocity and the area signifies that                                                           simplifications have been applied to them, and the limitations
              only the velocity component normal or perpendicular to the                                                               of the simplifications.
              surface can be used for calculation purposes. An example of                                                                 On a conceptual level, the equations of interest are partial
              how this is used practically can be seen from the conservation                                                           differential equations that describe:
              of mass as given by:
                                                                                                                                            1.   conservation         of   mass
                                                                                                                                            2.   conservation         of   momentum
                                                                                              dM
                                                                                                  =0                       (4.48)           3.   conservation         of   energy
                                                                                               dt                                           4.   conservation         of   species
              The associated intensive property for mass is simply one.                                                                Similar to density, the main assumption regarding the differen-
              Inserting the above information into the general control vol-                                                            tial derivation of these equations is that the volume reduces to a
              ume statement yields:                                                                                                    point, but a point much larger than the molecular length scale.
                                                                                                                                       Each of the conservation principles are discussed in turn.
                                                                                                             r r                          Because it is fairly simple, a reasonably complete deriva-
                                                                                          ∫            ∫
                                                                                     d
                                                                                0=             ρdV +        ρV ⋅ dA        (4.49)      tion of conservation of mass is provided. Insight gained from
                                                                                     dt
                                                                                          CV           CS                              the conservation of mass derivation will be generalized as
                                                                                                                                       appropriate for the other conservation equations. Details will
              Notice the first term in Eq. (4.49). Practically speaking, this                                                          be referenced, as appropriate.
              term takes into account the change in density of the control
              volume. For steady-state and incompressible analysis, this                                                               4.3.4.1 Conservation of Mass
              term becomes zero. The second term is just a statement of                                                                Figure 4.12 is an idealization of a small “differential” control
              mass in and mass out. Thus, for steady-state and incompress-                                                             volume. For simplicity, Cartesian coordinates (X, Y, Z) are
              ible calculations, the equation reduces to:                                                                              utilized; however, the results could be generalized to any
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   where
                                                                      U = Velocity in the X-direction
                                                                      ρ = Density
= − d (Uρ)( dy dz ) (4.52)
                                                                      = {(Mass at time 1) − (Mass at time 2)} time                   Dividing Eq. (4.54) by (dx dy dz) and collecting terms on one
                                                                                                                                     side of the equation:
                                                                      = {ρ1 (dx dy dz ) − ρ2 (dx dy dz )} dt
                   where                                                                                                             where
                                                                      dρ         = Change in density with time                                    U = X velocity component
                                                                      dt         = Differential change in time                                    V = Y velocity component
                                                                      dx dy dz = Volume of cube                                                   W = Z velocity component
                      The above expression is very reasonable. The only way                                                          The above expression has the following physical implications:
                   that mass can be stored in a fixed-volume container of any                                                                                                              dρ
                   sort is for the density to change. Repeating the mass flow                                                              1. The time-dependent term    represents the change of
                   analysis for each of the other two directions, collecting the                                                              mass inside the volume. dt
                   expressions, and setting them equal to the expression for the                                                           2. The other terms represent the difference between what
                   change in mass, results in the following general expression                                                                leaves and enters the volume.
                   for conservation of mass for fluid flow:                                                                                3. This is summarized as:
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                                    ∂(ρ) ∂(ρU ) ∂(ρV ) ∂(ρW )                                        the momentum leaving the volume, and (2) the momentum
                                            +     +    +      =0                         (4.56)      stored. It can be shown that this is the same type of convec-
                                   { ∂t        ∂x   ∂y
                                              14444244443∂ z
                                   Internal            Mass difference between
                                                                                                     tion and storage term derived for conservation of mass, so
                                   changes             entering and leaving volume                   the substantial derivative can be used to describe a change
                                                                                                     in momentum. For momentum, velocity times density is
              For incompressible flow, this reduces to:                                              utilized; thus:
                 As it turns out, the general form of Eq. (4.56) can be used                         Forces that can be applied fall into two categories: (1) forces
              for any physical quantity of interest: momentum, energy, chem-                         that are applied to the entire volume equally, and (2) forces
              ical species, etc. In general, this form of equation is said to                        that are applied to the surface of the volume. The first type of
              represent the time variant and convection terms of the differ-                         force is sometimes called a body force. Gravity is normally
              ential equations. In fact, this form appears so often that it is                       the only body force encountered, and will be the only one
              given the special name of “substantial derivative” and repre-                          considered herein. Others, however, are possible, such as
              sented in shorthand as follows:                                                        electromagnetic fields and acceleration. The second type of
                                                                                                     force, surface forces, can act either in a direction normal to
                                  D( ) ∂( ) U∂( ) V∂( ) W∂(                          )               the surface (pressure), or in a direction parallel to the surface
                                      =    +     +     +                                 (4.57)
                                   Dt   ∂t   ∂x    ∂y    ∂z                                          (shear stress). The analytical form of each of these forces is
                                                                                                     summarized below.
              where different physical parameters can be substituted into                               Gravitational Body Force: The gravitational body force
              the blank sets of parentheses. This would allow the conserva-                          is illustrated in Figure 4.14 and is symbolized by Fx. If there
              tion of mass for incompressible flow to be written as:                                 is no body force in the X-direction, then this term is ignored.
                                                                                                     Common practice is to consider the Y-direction as up and
                                                           D(ρ)                                      down, so the gravitational body force term usually would only
                                                                =0                       (4.58)      apply to the Y equation.
                                                            Dt
                                                                                                        Normal or Pressure Forces: Normal or pressure forces
              Use of the substantial derivative will be routinely referenced                         are illustrated in Figure 4.15 and take the following form:
              in the following sections.
                                                                                                                                                          Px
              4.3.4.2 Conservation of Momentum                                                                                                        −                          (4.61)
                                                                                                                                                          dx
              Newton’s second law of motion stated in words is: “the time
              rate of change of momentum is equal to the sum of all
                                                                                                        A net force will arise only if there is a difference in the
              applied forces.” In equation form, this is:
                                                                                                     direction of interest. The negative sign occurs because higher
                                                                                                     pressures in the direction of interest will induce a flow in the
                                    d ( Momentum)
                                          dt
                                                  =                ∑ Applied forces      (4.59)      negative direction.
                                                                                                        Parallel or Shear Stress: Parallel or shear stress is illus-
                                                                                                     trated in Figure 4.16. For a Newtonian fluid, shear stress or
              Instead of change of momentum, many physics textbooks refer
                                                                                                     force will be proportional to the velocity gradient (see Section
              to mass times acceleration. The two statements are equivalent
                                                                                                     4.4.1.1). The force due to shear stress along the Y-direction
              for volumes with constant density; but for fluid considerations,
                                                                                                     on the X-plane is:
              changes in momentum are more appropriate. Momentum is a
              vector quantity with three components, so any equation
              derived for one direction can be generalized into three similar                                                                              dV
                                                                                                                                                     τ=µ                         (4.62)
              equations, one for each component (x, y, z directions). For sim-                                                                             dy
              plicity, only the X-direction is considered here.
                 The rate of momentum change is represented as: (1) the                                 However, what is of interest is the change in force (the
              difference between the momentum entering the volume and                                force in this case being shear stress) along any one direction.
                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                       d 2V
                                                                   µ                            (4.63)
                                                                       dy 2
Collecting all of the above terms results in the following. FIGURE 4.14 Gravitational body force.
                                D(ρU )        −∂P     ∂ 2U ∂ 2 V ∂ 2 W 
                                       = Fx +     + µ 2 + 2 + 2                               (4.64)
                                 Dt
                                123      Body  ∂x     ∂x   ∂y    ∂z 
                                                 force     Pressure              Shear forces
                               Momentum                     force
                                changes
                                                 14444442444444
                                                          (stresses)
                                                                     3
                                                               Summation of forces on volume
                                                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   extension of the momentum equation to include compress-
                   ibility effects.
                                                                                                                             D(Chemical species)
                                                                                                                                                 =0                         (4.68)
                                                                                                                                    Dt
                                                                                                                                  DYi
                                                                                                                              ρ       = ω i Wi − Vi ⋅ ∇Yi                   (4.69)
                                                                                                                                  Dt
                                                                                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                       diffusion
                                                                                    (4.67)      flows in nature will tend to become turbulent as flow rate or
                                                                             r
                                     ∑
                                                      DP                                        local velocity is increased.
                                  −    ω i hoi + βT        + Φ  { +∇       ⋅ qr
                                                      D  t              1 2  3
                                           3 123
                                                            Viscous
                                    14
                                     i 24
                                                  Pressure  dissipation Thermal
                                                                        radiation               4.4.1.1 Reynold’s Number
                                       Chemical             work
                                       reaction
                                                                                                During the 1880s, Osborn Reynolds quantified the previous
                                                                                                qualitative observations of laminar and turbulent flows. His
              The reader should consult Bird et al.16 for a much more com-                      observations were first published in 1883.17 A schematic of
              plete discussion of energy conservation.                                          his experimental apparatus is shown in Figure 4.20. In this
                                                                                                device, water flows from a tank through a bell-mouthed inlet
              4.3.4.4 Conservation of Species                                                   into a glass pipe. Also, at the entrance to the glass pipe is the
              If there are no chemical reactions, then the implication is that                  outlet of a small tube, which leads to a reservoir of dye.
              the mass fraction of any particular species can only change                          Reynolds discovered that at low water velocities, the stream
              due to mass flow into and out of the volume. Under this con-                      of dye issuing from the thin tube did not mix with the water.
              straint, conservation of species becomes exactly like the con-                    Instead, the dye became a distinct flow, parallel to the pipe
              servation of mass equation, namely:                                               centerline. As the valve was opened and the water velocity
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                                                                                                   Vdρ
                                                                                           Re =          (4.70)
                                                                                                    µ
                   where
                                                                        V   =   Velocity in pipe
                                                                        d   =   Pipe diameter
                                                                        ρ   =   Density of fluid
                                                                                                                         FIGURE 4.18 Water exiting a faucet at low velocity.
                                                                        µ   =   Fluid viscosity                          (From Visualization Society of Japan, The Fantasy of Flow,
                      As a practical matter, pipe flows having a Reynolds number                                         IOS Press, Amsterdam, 1993, 96.)
                   less than 2300 are laminar, and flows having a Reynolds num-
                   ber greater than 4000 are turbulent. In addition to determining
                   type of flow, Reynolds numbers have been proven to also scale                                                                                                    Area
                                                                                                                                                                                            ( 4)
                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   the intensity of turbulence in a flow. That is, higher Reynolds                                                           Hydraulic diameter =                                  (4.71)
                                                                                                                                                                                  Perimeter
                   numbers result in greater vortex generation and faster mixing
                   rates. As a result, Reynolds number calculations are very com-                                        It should be noted that the above definition of hydraulic
                   mon in the petrochemical industry. They are utilized to scale                                         diameter reduces to the definition of normal diameter for cir-
                   orifice coefficients,19 friction factors (Vernard and Street,4 and                                    cular pipes. The above equation provides reasonable accu-
                   Section 4.5 of this book), heat transfer rates (Lienhard,19 and                                       racy for calculations involving turbulent flow, but large errors
                   Chapter 3 of this book), and mass transfer rates (Bird16).                                            will occur for laminar flow calculations. See Vernard and
                                                                                                                         Street4 for additional details.
                   4.4.1.2 Hydraulic Diameter
                   In addition to circular pipe flows, Reynolds numbers can be                                           4.4.1.3 Reynolds Averaging
                   utilized, as described above, for geometries other than round.                                        Turbulent flows are characterized by a highly fluctuating
                   Square, triangular, and other enclosed flows scale with Rey-                                          instantaneous velocity. The flow fields generated are three-
                   nolds numbers. For geometric variations with no obvious                                               dimensional in nature and dependent on an unknown time
                   “diameter,” a concept termed the hydraulic diameter is use-                                           function. To help understand the processes, Reynolds 34 sug-
                   ful. Essentially, it is the ratio of the flow area to the flow                                        gested utilizing a velocity composed of two components: (1) a
                   perimeter, multiplied by four. In analytical form, this ratio is                                      time averaged velocity, and (2) a fluctuating velocity. This is a
                   expressed as:                                                                                         logical substitution, because, for 99% of applications, only the
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                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 4.19 Leonardo da Vinci’s view of turbulence.
FIGURE 4.20 Osborn Reynolds’ experimental apparatus used to study the transition from laminar to turbulent flow.
              mean (or average) velocity is of interest, and the time average       averaged over time to obtain an expression for average
              of the fluctuating velocity would be zero. This is expressed as:      velocity. It should be noted that while the time average of
                                                                                    fluctuating velocity is zero, the time average of the product
                                                   Velocity = V + V ′   (4.72)      of two fluctuating velocities is not zero. Potter and Foss13
              where                                                                 present a good discussion of this observation.
                                                                                       Starting from Eq. (4.64) (the momentum equation), if body
                             V = Average velocity (the bar represents “time
                                                                                    forces are neglected and density is considered constant, the
                                  averaged”)
                                                                                    “x” only equation can be rewritten as:
                             V′ = Fluctuating velocity (where V′ = 0)
              The two velocity terms can be substituted into the differen-                                                D(ρU ) ∂τ ix
                                                                                                                                =                               (4.73)
              tial momentum equation (4.64), and the resulting equation                                                    Dt     ∂x i
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                   FIGURE 4.21 Water from faucet showing transition.                   FIGURE 4.22 Wake area showing mixing vortices.
                   (From Visualization Society of Japan, The Fantasy of Flow,          (From Visualization Society of Japan, The Fantasy of Flow,
                   IOS Press, Amsterdam, 1993, 96-97.)                                 IOS Press, Amsterdam, 1993, 3.)
                   FIGURE 4.23 Photograph showing the laminar flow of smoke over a rectangular obstruction. (From M. Van Dyke, An
                   Album of Fluid Motion, The Parabolic Press, Stanford, CA, 1982, 10.)
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              where
                                                                                                                                          U ′2            U ′V ′        U ′W ′ 
                                                                                                                                                                               
                                                       ∂U ∂V ∂W                                                                       ρ U ′V ′           V ′2         V ′W ′         (4.79)
                                       τ ix = − Px + µ   +   +                                 (4.74)                                  U ′W ′           V ′W ′        W ′2 
                                                       ∂x ∂y   ∂z                                                                                                            
              The τ part of the momentum equation contains no cross
                                                                                                             Collectively, these terms are called “Reynolds stresses.” The
              velocity terms. However, close examination of the substan-
                                                                                                             term “stress” is applied to them because they are associated
              tial derivative (see Section 4.3.4 of this chapter) reveals that
                                                                                                             with the stress term in the momentum equation, although
              the left-hand side of Eq. (4.73) does contain the products of
                                                                                                             they arise from the convective side of the momentum equa-
              different velocities. Substitution of the decomposed velocity
                                                                                                             tion. Research over the last 100 years has not yet provided a
              into the momentum equation, taking the time average
                                                                                                             completely satisfactory model for these terms. Computa-
              (to develop a time-averaged momentum equation), and sim-
                                                                                                             tional fluid dynamics (CFD, see Chapter 9 of this book)
              plifying (see Potter and Foss13 for details), results in the fol-
                                                                                                             makes extensive use of various assumption and modeling
              lowing x momentum equation:
                                                                                                             approximations. Occasionally, the ability to accurately model
                                                                                                             a flow field still depends on the modeler’s understanding of
                            D(ρU ) ∂τ ix     ∂U ′ 2 ∂U ′V ′ ∂U ′W ′ 
                                                                                                             the limitations of the chosen Reynolds stress model.
                                  =      − ρ       +       +                                   (4.75)
                             Dt     ∂x i     ∂x     ∂y       ∂z 
                                                                                                             4.4.1.4 Jets
              where                                                                                          When a fluid emerges from a nozzle, it will interact with the
                                                                                                             surrounding fluids. This type of system, termed a “free jet,”
                                                       ∂U ∂V ∂W 
                                       τ ix = − Px + µ   +   +                                              commonly occurs in combustion systems (Figure 4.24).
                                                                ∂z 
                                                                                                 (4.76)
                                                       ∂x ∂y                                                High-pressure fuel from a nozzle, steam spargers, and liquid
                                                                                                             fuel sprays are all examples of free jets. Figure 4.25 illus-
                 Interestingly, the cross fluctuating velocity terms have the
                                                                                                             trates the interaction of a free jet with the surrounding fluid.
              same derivative operator as the shear stress, so it is common
                                                                                                             As the jet travels downstream from the nozzle, its diameter
              to simply redefine the shear stress with those terms added to
                                                                                                             will increase as it captures ambient fluid into its stream. This
              it. In that case, the momentum equation for time-averaged
                                                                                                             phenomenon has been extensively studied, both experimen-
              velocity will have the exact same form as before, namely:
                                                                                                             tally and theoretically. For theoretical treatment, the inter-
                                                                                                             ested reader is referred to Schlichting,20 Hinze,21 and
                                                          D(ρU ) ∂τ ix                                       Tennekes.22 The historical treatment is to assume that fluctu-
                                                                =                                (4.77)
                                                           Dt     ∂x i                                       ating velocities have the same magnitude in each of the three
                                                                                                             directions (this is called isotropic turbulence), which reduces
              But the stress term for the x equation is now modified by the
                                                                                                             the Reynolds stresses from six terms to one term. The single
              fluctuating velocity terms. It now has the following form:
                                                                                                             stress term is then modeled as a function of the local velocity
                                                                                                             gradient and the nozzle diameter. This model has a single fit-
                                                       ∂U ∂V ∂W 
                                       τ ix = − Px + µ   +   +                                              ted parameter, which is deduced from experimental data.
                                                       ∂x ∂y   ∂z                                            Experimental characterization of nozzles has resulted in
                                                      [                                      ]
                                                                                                             practically the same results as those obtained theoretically,
                                               − ρ U ′ 2 + U ′V ′ + U ′W ′                       (4.78)      except near-nozzle effects are quantified. Nevertheless, both
                                                                                                             treatments result in the following two equations describing
                 It should be noted that although the fluctuating terms are                                  jet velocities (from Beer and Chigier23):
              historically “lumped” with the stress and pressure terms
              (forces, from the derivation), they actually arise from the
                                                                                                                                              U0        x
              convective side of the momentum equation. If the same pro-                                                                         = 0.16    − 1.5                         (4.80)
              cedure is followed for the y and z momentum equations, a                                                                        Um        d0
              total of nine fluctuating velocities arise from the derivation.
              Noting, however, that velocity order can be interchanged,                                      where
              there are only six different terms. Collecting them in tensor                                               U0 = Initial velocity at nozzle (assuming plug flow)
              form (terms from the three different equations are listed                                                   Um = Maximum (or centerline) velocity of the jet
              together), they are as follows:                                                                                  downstream
                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                      r 
                                                        = exp − K u   
                                                     U0
                                                                                (4.81)
                                                     Um              x
                   where
                                 U = Actual velocity
                                 Um = Maximum or centerline velocity at the particular
                                      x location
                                 r = Radial distance from centerline
                                 Ku = Gauss constant, which has a value of about 8724
                   4.4.1.5 Entrainment
                   As a free jet interacts with surrounding fluids, it will “pick up”
                   or entrain the ambient fluid and carry it downstream. It is this
                   additional fluid that will cause the jet to expand and the
                   velocity to decrease. Figures 4.25 illustrates the phenomenon
                   of entrainment. Equations for concentration decay are similar
                   to the velocity equations, and are given by:
                                                                                                 FIGURE 4.24 Free jet structure. (From M. Van Dyke,
                                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                 An Album of Fluid Motion, The Parabolic Press, Stanford,
                                                       C0        x                               CA, 1982, 99.)
                                                          = 0.22    − 1.5       (4.82)
                                                       Cm        d0
                                                                      r 
                                                        = exp − K u   
                                                     C
                                                                                (4.83)
                                                     Cm              x
                   where
                                 C = Actual concentration
                                 C0 = Initial concentration at nozzle (assuming flat
                                      profile)
                                 Cm = Maximum (or centerline) concentration of the
                                      jet downstream
                                 x = Distance from nozzle exit
                                 d0 = Diameter of nozzle
                                 r = Radial distance from centerline
                                 Ku = Gauss constant, which has a value of about 55.524
                      One unexpected result of the above jet laws is that concen-                FIGURE 4.25 Free jet entrainment. (From M. Van
                   tration is independent of velocity. Intuition would lead one to               Dyke, An Album of Fluid Motion, The Parabolic Press, Stan-
                   believe that the faster a jet exits an orifice, the faster it mixes           ford, CA, 1982, 97.)
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                                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                          transfer. In a typical reacting flow, the density of the reactants
                                                                                          can be 500% of the products’ density, yet the flow may still be
                                                                                          analyzed as an incompressible flow. In this section, the Mach
                                                                                          number is introduced and the Mach number will be used alone
                                                                                          to determine whether or not a flow is compressible.
                                                                                             Compressible flow is a vast subject. Texts such as Saad24
                                                                                          and Anderson25 cover the subject in far more detail than space
                                                                                          allows here. The purpose of this section is to describe enough
                                                                                          of the subject that the reader understands the key assumptions
                                                                                          behind the use of compressible flow relations in computing
                                                                                          orifice flows. The choked orifice is an important flow mea-
                                                                                          surement device because of its relative simplicity. In addi-
                                                                                          tion, many gas-fired burners and flares fire fuel through
                                                                                          choked orifices. A further purpose is to give the reader some
                                                                                          appreciation for the interesting flow phenomena, especially
                                                                                          shock waves that occur in compressible flows with little or
              FIGURE 4.26 Flow around the air intake of a jet engine
              in supersonic flow. (From Visualization Society of Japan, The               no analog in incompressible flows.
              Fantasy of Flow, IOS Press, Amsterdam, 1993, 23.)
                                                                                          4.4.2.1 Basic Thermodynamics Relations
                                                                                          This section is limited to ideal gases, that is, gases that obey
              with the surrounding fluid. While it is true that it is entraining          the relation P = ρRT, where P is the absolute pressure, T is
              more mass, it is not mixing any faster — downstream con-                    the absolute temperature, and R is the gas constant (the
              centrations are not affected by velocity.                                   universal gas constant divided by the gas molecular weight)
                From these equations, the mass entrainment rate can also                  (see Section 4.2.4.1). For an ideal gas, one can readily show
              be deduced. The following equation 23 summarizes mass                       that the enthalpy, h, and internal energy, e, are functions of
              entrainment:                                                                temperature alone.15 One can also show that the specific heats
                                                me        x         ρa 
                                                   = 0.32           ρ  −1   (4.84)                                               ∂h            ∂s 
                                                m0        d0        0                                                  Cp =                = T                    (4.85)
                                                                                                                                   ∂T   P
                                                                                                                                                 ∂T  P
              where
                             me    =   Mass flow entrained by jet                         and
                             m0    =   Initial mass flow from nozzle
                             x     =   Distance from nozzle exit
                                                                                                                                   ∂e            ∂s 
                             d0    =   Diameter of nozzle                                                                 Cv =               = T                    (4.86)
                                                                                                                                   ∂T            ∂T  v
                             ρa    =   Density of ambient fluid                                                                          v
                                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                     (denoted by subscript ‘1’) within the duct gives:
                 Maxwell’s relation, Tds = dh + dP/ρ, shows that these two
              relations are equivalent in an isentropic flow. The differential                                            ho = h1 + u12 2                                 (4.92)
              energy equation shown above can be integrated once to show
              that the total enthalpy, ho = h + u2/2, is a constant (ho is the       because the stagnation velocity is zero. And because the specific
              stagnation enthalpy, defined below).                                   heat is constant, one notes that ho − h1 = Cp (To − T1 ) = u12 2 .
                                                         (         )
                                                   du          dA                    relations that relate the pressure at any location (not sub-
                                                      M2 − 1 =    .     (4.91)
                                                   u            A                    scripted now) to the Mach number:
                                                                                                                         γ −1 2 ( )
              This is the area-velocity relation. This equation is significant                                                   γ γ −1
                                                                                                                  Po 
                                                                                                                    = 1+     M                                            (4.94)
              in the study of compressible flow. Notice, for example, that                                        P       2   
              when the Mach number is less than 1, area and velocity
              changes have opposite signs. This is the intuitive result that if      and
              the mass flow is constant, decreasing the available flow area
                                                                                                                         γ −1 2 ( )
                                                                                                                                 1 γ −1
              must increase velocity. However, if the Mach number is                                              ρo 
                                                                                                                    = 1+     M                                            (4.95)
              greater than one, the relation gives a counterintuitive result:                                     ρ       2   
              that to accelerate a flow, one must increase the available flow
              area. For this reason, a nozzle that is designed to accelerate a          At the throat, the Mach number is 1; thus, the above rela-
              flow from rest (or low speed) to supersonic velocities must be         tions [Eqs. (4.93), (4.94), and (4.95)] become, respectively:
              a converging-diverging nozzle. Its area must decrease to
              accelerate the flow to a Mach number of 1, and then the area                                                 To      γ −1
                                                                                                                              = 1+                                        (4.96)
              must begin increasing to accelerate the flow to supersonic                                                   T*        2
              (M > 1) velocities. The minimum area of the duct is called
                                                                                                                              γ − 1 ( )
              the throat of the duct; at this location, the flow is sonic.                                                          γ γ −1
                                                                                                                     Po 
                                                                                                                         = 1+                                             (4.97)
                 The analysis of flows is simplified by defining stagnation                                          P *       2 
              conditions (where the flow velocity is zero) and throat con-
              ditions (where the flow is sonic). Following Anderson,26 the           and
              subscript o is used for stagnation conditions and the super-
                                                                                                                              γ − 1 ( )
                                                                                                                                    1 γ −1
              script * for throat conditions. Because the temperature varies                                         ρo 
                                                                                                                       =  1 +                                             (4.98)
              along the length of the nozzle, the sound speed c varies with x.                                       ρ*        2 
              As long as the flow is isentropic, the stagnation properties
              and throat properties do not change.                                      These relations allow the computation of fluid properties
                 Because the flow is isentropic, the thermodynamic relations         (u, ρ, P, and T) at any location within the duct. A common
              shown above for an isentropic process between two states               application of these equations is to ensure that a supersonic
              can be applied between the stagnation conditions and any               nozzle is properly expanded such that the fluid pressure at the
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                   exit plane is the same as the surrounding pressure. A nozzle                                                               through a small orifice where the pressure downstream of the
                   is termed “overexpanded” if the nozzle expands so that the                                                                 orifice is the back pressure, Pb, there are four cases to con-
                   pressure at the exit plane is lower than the surroundings. In                                                              sider, as shown in Figure 4.29.
                   this condition, either a normal shock wave will develop
                                                                                                                                                    1. If the back pressure and the stagnation pressure are equal,
                   within the expanding portion of the nozzle, or a series of                                                                          there is no flow through the orifice (i.e., the valve is closed).
                   oblique shock waves will appear downstream of the exit                                                                           2. If the back pressure is lower than the stagnation pressure,
                   plane. A nozzle is “underexpanded” if the pressure at the exit                                                                      but above the choking pressure, then there will be flow
                   plane is higher than the surrounding pressure. Prandtl-Meyer                                                                        through the orifice at a Mach number less than 1. The
                   expansion waves (discussed in the compressible flow texts                                                                           mass flow rate continues to increase as the back pressure
                   cited in the introduction to this section and shown in                                                                              is lowered.
                   Figure 4.26) are two-dimensional flow structures that will                                                                       3. If the back pressure is lowered to a value termed the
                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   appear in this situation.                                                                                                           choking pressure (Pc), then the velocity at the orifice will
                                                                                                                                                       become sonic. Because the velocity is sonic, further
                      The mass flow at any location is ṁ = ρuA . The mass flow                                                                        decreases in the back pressure cannot be “communicated”
                   rate is independent of the x-location, and thus one can write                                                                       upstream, and the mass flow rate through the orifice can
                                                                                                                                                       no longer change. The mass flow at this pressure is the
                    ρuA = ρ*u * A* . The throat velocity is u * = c * = γRT * .
                                                                                                                                                       maximum (in reality, the mass flow will continue to
                   Manipulation of these expressions using the above derived                                                                           increase somewhat because the assumption of quasi-one-
                   expressions for ρo/ρ*, ρo /ρ, To/T*, and To/T yields the area                                                                       dimensional flow is an idealization; see Ward-Smith27
                   Mach number relation:                                                                                                               for details).
                                                                                                                                                    4. As the back pressure is lowered below the choking pressure,
                                                                                                            ( γ +1) ( γ −1)                            the mass flow rate does not continue to increase in the ideal
                                                                         A  = 1  2 1 + γ − 1 M 2  
                                                                             2
                                                                                                                                                       analysis. In reality, a visually striking series of Prandtl-
                                                                                M 2  γ + 1         
                                                                                                                              (4.99)
                                                                        A 
                                                                           *
                                                                                               2                                                       Meyer expansion waves, seen also in Figure 4.27, appear
                                                                                                                                                       just downstream of the exit plane, producing a diamond
                   4.4.2.3.3 Choked Orifice Flows                                                                                                      pattern of high- and low-pressure zones. The density gra-
                                                                                                                                                       dients in the flow cause the fluid’s index of refraction to
                   This section examines the flow of an ideal gas through an
                                                                                                                                                       vary so that these diamond patterns are visible. It should
                   orifice. Compressible orifice flows have numerous applica-
                                                                                                                                                       be noted that as a practical matter, valves are not normally
                   tions in petrochemical combustion. Ward-Smith 27 provides a                                                                         placed downstream of a choked orifice. Also, while it is
                   thorough overview of the use of choked orifices as flowmeters.                                                                      true that for a given upstream pressure, mass flow cannot
                      Consider a fluid in a large reservoir at (stagnation) pressure                                                                   be increased, if the upstream pressure is increased, the
                   P0 , as shown in Figure 4.28. If this fluid is allowed to pass                                                                      mass flow will increase due to the increase in density.
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                 Given the stagnation pressure and the back pressure, the exit          become significant. The analysis presented here is not appro-
              Mach number can be computed using the isentropic relation                 priate for these high l/d orifices as viscous effects have been
              for Po/P. However, if this computation reveals that the exit              neglected. Viscous effects can readily be included in the anal-
              Mach number is greater than 1, it is realized that a simple orifice       ysis. Compressible flow with viscous effects in constant area
              geometry will not accelerate the flow to supersonic velocities            ducts is called Fanno flow and is discussed at length in standard
              and the flow will be choked. The mass flow rate can be com-               compressible flow texts such as Saad 24 and Anderson.25
              puted as m˙ = ρ*u * Aorifice . For example, consider air (γ = 1.4)
              supplied with stagnation pressure 30 psig (44.7 psia or 2 barg)
              and stagnation temperature 70°F (21°C) exhausted through a
              0.25-in. (6.4-mm) orifice. Equation (4.87) gives the exit Mach            4.5 PRESSURE DROP
              number (assuming atmospheric pressure is 14.7 psia) as 1.36,                  FUNDAMENTALS
              indicating that the flow is choked, which means that the Mach
              number at the throat is 1. The throat conditions can then be
              computed using Eqs. (4.86) to (4.88) utilizing a Mach number
                                                                                        4.5.1 Basic Pressure Concepts
              of 1. The throat pressure is 23.6 psia (1.6 barg). The throat             4.5.1.1 Definition of Pressure
              temperature is –18°F (–28°C), and the throat density is
                                                                                        Pressure is created by the collision of gas molecules on a sur-
              0.144 lbm/ft3. The sound speed at this temperature is 1029 ft/s
                                                                                        face and is defined as the force exerted per unit area on that
              (314 m/s). The (ideal) mass flow through this orifice is then
                                                                                        surface. The pressure of the air around us, called atmospheric
              0.051 lbm/sec (=ρ*u*A). If the flow is not choked (the exit Mach
              number is less than 1), then the ideal mass flow can be com-              pressure, is due to air molecules colliding with our bodies,
              puted using the fluid properties at the exit Mach number.                 objects, and the Earth’s surface. Lower elevations at the
                 In computing real orifice flows, it is common to use a                 Earth’s surface will tend to have a higher atmospheric pres-
                                                                                        sure because the height, and therefore the weight, of the col-
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   umn, whereas in Europe and Asia the units are usually Pa and
                   millimeters of water column. The conversion of these pres-
                   sure units are as follows: 1 lb/in2 = 27.68 in. water column =                     1. gas flow in a flare stack and header
                   6895 Pa = 703.072 mm water column.                                                 2. steam flow in a pipe feeding a steam-assisted flare
                                                                                                      3. air from a blower feeding an air-assisted flare
                   4.5.1.3 Standard Atmospheric Pressure                                              4. gas flow through a burner manifold
                   Initially, engineers developed a standard atmospheric pres-                        5. oil flow through a pipe feeding an atomizing gun
                   sure so that the performance of aircraft and missiles could be
                   evaluated at a standard condition. The idea of a standard                    Although all of these systems are different, the governing
                   atmospheric pressure was first introduced in the 1920s.28 In                 equations used to describe the pressure drop are common.
                   1976, a revised report was published that defined the U.S.                   The purpose of this section is to discuss the basic concepts
                   standard atmosphere that is the currently accepted standard.                 used to determine the pressure drop of a liquid or gas flowing
                   This standard is an idealized representation of the mean con-                through a straight pipe.
                   ditions of the Earth’s atmosphere in one year.                                  The roughness of the wall on the inside of a pipe influences
                      Table 4.2 lists several important properties of air for stan-             the pressure drop of a fluid flowing through it if the flow is
                   dard atmospheric conditions at sea level.                                    turbulent. When a fluid flows turbulent through a straight pipe,
                                                                                                organized structures of fluid near the wall called slow-moving
                                                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   4.5.1.4 Gage and Absolute Pressure                                           streaks, can suddenly move into the central region of the pipe
                   If the Earth was in a perfect vacuum, there would be no col-                 by a phenomenon called a “turbulent burst.” Figure 4.30 is a
                   umn of air above its surface; hence, the atmospheric pressure                photograph showing the organized structure of a series of
                   would be zero. The absolute pressure is measured relative to                 slow-moving streaks near a wall.29
                   a perfect vacuum. Therefore, when a pressure measurement                        When these slow-moving streaks burst from the wall,
                   is taken at the surface of the Earth, the absolute pressure is               momentum interchanges between masses of fluid, extracting
                   equal to the atmospheric pressure. When writing the units of                 energy from the overall fluid in the form of heat. A pipe with
                   pressure, it is customary to designate absolute pressure with                a rough wall will experience more turbulent bursts than a
                   the letter “a” or “abs” after the units. For example: psia, kPa,             pipe with a smooth wall operating under the same flowing
                   psi(abs), or kP(abs). The absolute pressure can never be less                conditions. Therefore, a pipe with a rough wall will have a
                   than zero; however, the gage pressure can.                                   larger pressure drop associated with it than a pipe with a
                      The gage pressure is always measured relative to the atmo-                smooth wall.
                   spheric pressure. A gage pressure of less than zero can exist.                  The pressure drop for a fully developed flow of fluid in a
                   For example, suppose there is a sealed container that holds a                pipe can be calculated by relating the velocity pressure of the
                   vacuum at 10 psia at sea level. The gage pressure, which is                  fluid to the pipe roughness and geometry as follows:
                   measured relative to the absolute pressure, would be (10 psia –
                   14.7 psia) = –4.7 psig. The letter “g” after the pressure units                                                                L ρV 2
                   represents gage pressure. Now suppose the container is pressur-                                                   ∆P = f                                        (4.100)
                                                                                                                                                  D 2 gc
                   ized to 20 psia. The gage pressure will then be (20 psia –
                   14.7 psia) = 5.3 psig. Thus, the gage pressure can either be a
                                                                                                where the term ∆P is the pressure drop, f is the friction fac-
                   positive or negative number, and is just the difference in pressure
                                                                                                tor, L is the length of pipe, D is the inside pipe diameter,
                   between the atmospheric pressure and the pressure of interest.
                                                                                                ρ is the density of the fluid in the pipe, and V is the mean
                                                                                                velocity of the fluid in the pipe. Equation (4.100) is called
                   4.5.2 Roughness                                                              the Darcy-Weisbach equation, named after two engineers of
                   The transport of a liquid or gas in a pipe system is very com-               the nineteenth century. Weisbach first proposed the use of
                   mon in the flare and burner industry. Such applications include:             the friction factor term, f, and Darcy conducted numerous
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              FIGURE 4.30 Photograph showing slow-moving streaks near a wall using the hydrogen bubble technique. (From
              W. Bussman, A theoretical and experimental investigation of near-wall turbulence in drag reducing flows, Ph.D. thesis, The
              University of Tulsa, Tulsa, OK, 1990.)
                      FIGURE 4.31 Moody diagram. (From J.A. Roberson and C.T. Crowe, Engineering Fluid Mechanics, Houghton Mifflin,
                      Boston, MA, 1980.)
                      of the smoothness of a pipe wall, there will always be a pressure                TABLE 4.3 Equivalent Roughness for New Pipes
                      drop as the fluid flows through the pipe. There is no such thing                                                                                Equivalent Roughness, ε
                      as a perfectly smooth wall. On a microscopic level, a wall will                                     Pipe                                            (ft)        (mm)
                      always have a surface roughness.                                                 Riveted steel                                               0.003–0.03      0.9–9.0
                                                                                                       Concrete                                                    0.001–0.01      0.3–3.0
                        Values of relative roughness are available for commercially                    Wood stave                                                  0.0006–0.003    0.18–0.9
                      manufactured pipe. Typical roughness values, for various pipe                    Cast iron                                                   0.00085         0.26
                                                                                                       Galvanized iron                                             0.0005          0.15
                      material and surfaces, are provided in Table 4.3.                                Commercial steel or wrought iron                            0.00015         0.045
                                                                                                       Drawn tubing                                                0.000005        0.0015
                        It should be mentioned that the buildup of corrosion or scale
                                                                                                       Plastic, glass                                              0.0 (smooth)    0.0 (smooth)
                      on the inside of a pipe can significantly increase the relative
                                                                                                       Source: J.A. Roberson and C.T. Crowe, Engineering Fluid Mechanics,
                      roughness. Very old pipes can also be so badly eroded away                       Houghton Mifflin, Boston, MA, 1980.
                      on the inside that the effective diameter of the pipe is altered.
                         Several researchers have attempted to develop an analytical
                      expression for the friction factor as a function of the Reynolds                 4.5.4 Loss Coefficient
                      number and relative roughness. One well-known equation is                        The previous section (Section 4.5.2) presented equations to
                      the Colebrook formula:                                                           calculate the pressure drop for a fully developed flow of a fluid
                                                                                                       through a straight pipe having a constant cross-sectional area.
                                                                                                       In the flare and burner industry, however, it is very common for
                                                         1            ε D   2.51 
                                                            = −2.0 log    +         (4.103)          pipe systems to include inlets, elbows, tees, and other fittings
                                                          f            3.7 Re f                      that can create additional pressure losses. The methods and
                                                                                                       procedures used for determining the pressure drop through
                      This formula is typically used to generate curves in the Moody                   fittings, however, are not as convenient as for straight pipe
                      diagram. The difficulty in using the Colebrook formula                           flow. Pressure losses through fittings are the result of addi-
                      [Eq. (4.103)] is that, in order to solve for the friction factor f,              tional turbulence and/or flow separation created by sudden
                      an iterative scheme must be used. This is not too difficult,                     changes in the fluid momentum. Therefore, pressure losses are
                      however, if a computer is used.                                                  significantly influenced by the geometry of the fitting. This
       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                          0.0                                   1.00
                                                                                                                                                          0.20                  0.13            0.92
                                                                                                                                                          0.40                  0.11            0.72
                                                                                                                                                          0.60                  0.06            0.42
                                                                    ∆P = KL V2/2 gc                                                                       0.80                  0.03            0.16
                                                                                                                                                            1                   0.35
                                                                                                                                                            2                   0.19
                                                                                                                                                            4                   0.16
                                                                                                                                                            6                   0.21
                                                                                                                                                            8                   0.28
                                                                                                                                                           10                   0.32
                                                                    ∆P = KL V2/2 gc
Source: J.A. Roberson and C.T. Crowe, Engineering Fluid Mechanics, Houghton Mifflin, Boston, MA, 1980.
              section discusses the general procedure for estimating the pres-                                                 approaching fluid stream, ρV2/2. The loss coefficient is
              sure drop through fittings in piping systems.                                                                    strongly dependent on the geometry of the fitting and the
                 A complete theoretical analysis for calculating the flow                                                      Reynolds number in the pipe approaching the fitting. The
              through fittings has yet to be developed. Thus, the pressure                                                     loss coefficient for various fittings is given in Table 4.4. For
              drop through fittings is based on equations that rely heavily                                                    additional information on loss coefficients through various
              on experimental data. The most common method used to                                                             fittings, refer to Idelchik12 and Crane.31
              determine the pressure loss is to specify the loss coefficient,
              KL, defined as follows:                                                                                          4.5.3 Discharge Coefficient
                                                                                      ∆Pgc                                     Flare and burner engineers use equations based on the ideal
                                                                            KL =                               (4.104)         gas law and assumptions of ideal flow to calculate the flow
                                                                                      1
                                                                                        ρV 2                                   rate of a fluid through a burner nozzle or flare tip. To com-
                                                                                      2
                                                                                                                               pensate for the results of these ideal equations and assump-
              Notice that the loss coefficient is dimensionless and is                                                         tions, a constant is introduced to account for the complexity
              defined as the ratio of the pressure drop through a fitting to                                                   of the flow that makes it non-ideal. This constant is called the
              the approaching velocity pressure of the fluid stream. Solving                                                   discharge coefficient.
              Eq. (4.104) for ∆P relates the pressure drop through a fitting:                                                     The discharge coefficient is defined as the ratio of the actual
                                                                                                                               mass flow rate of a fluid through a nozzle to the ideal mass
                                                                                        ρV 2
                                                                           ∆P = K L                            (4.105)         flow rate and is written as:
                                                                                        2 gc
              If the loss coefficient is equal to 1.0, then the pressure loss                                                                                                  m˙ actual
                                                                                                                                                                      Cd =
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                                                           (4.106)
              through that fitting will equal the velocity pressure of the                                                                                                      m˙ ideal
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                   The ideal mass flow rate is defined as the mass flow rate cal-
                   culated using the ideal gas law and assumptions of ideal flow
                                                                                                                                                                                        L
                   — no pressure losses due to the internals of the nozzle or tip.
                                                                                                                                                               a
                   The value of the discharge coefficient for a burner nozzle or
                   flare tip must be determined experimentally. Typically, the
                   discharge coefficient varies from about 0.60 to 1.0, with 1.0
                   being ideal in most burner and flare applications. Factors that
                                                                                                                                  D                                                d        V
                   can affect the discharge coefficient include:
                         1.   length-to-diameter ratio of the port
                         2.   the Reynolds number of the fluid in the port
                         3.   beta ratio                                                                                       Length-to-diameter ratio = L / d
                         4.   port angle                                                                                       Reynolds number = V x d / n
                         5.   manufacturing tolerances                                                                         Beta ratio = d / D
                   See Figure 4.32 for a description of these variables.                                                       Port angle = a
                       4. J.K. Vennard and R.L. Street, Elementary Fluid                                             15. G. Van Wylen and R. Sonntag, Fundamentals of Classi-
                          Mechanics, 5th ed., John Wiley & Sons, New York,                                               cal Thermodynamics, 2nd ed., John Wiley & Sons,
                          1975.                                                                                          New York, 1973.
                       5. R.D. Reed, Furnace Operations, 3rd ed., Gulf Publish-                                      16. R.B. Bird, W.E. Stewart, and E.N. Lightfoot, Transport
                          ing, Houston, 1981.                                                                            Phenomena, John Wiley & Sons, New York, 1960.
                       6. J.B. Maxwell, Data Book on Hydrocarbons, D. Van                                            17. O. Reynolds, An experimental investigation of the cir-
                          Nostrand Company, Princeton NJ, from the Standard                                              cumstances which determine whether the motion of
                          Oil Development Company, 1950.                                                                 water shall be direct or sinuous and of the law of resis-
                                                                                                                         tance in parallel channels, Phil. Trans. Roy. Soc.,
                       7. E.L. Lederer, Proceedings of the World Petrochemical
                                                                                                                         174(III), 935, 1883.
                          Congress, London, 1933, 526.
                                                                                                                     18. Mark’s Standard handbook for Mechanical Engineers,
                       8. W.R. Shu, A viscosity correlation for mixtures of heavy
                                                                                                                         9th ed., McGraw-Hill, New York, 1987.
                          oil, bitumen, and petroleum fractions, Soc. Petr. Engr.
                          J., June 1984, 272.                                                                        19. J.H. Lienhard, A Heat Transfer Textbook, Prentice-Hall,
                                                                                                                         Englewood Cliffs, NJ, 1987.
                       9. R.J. Kee, F.M. Rupley, and J.A. Miller, The CHEMKIN
                          Thermodynamic Data Base, Sandia Report SAND87-                                             20. H. Schlichting, Boundary Layer Theory, McGraw-Hill,
                          8215B, March 1990.                                                                             New York, 1979.
                     10. J.M. Smith, H.C. Van Ness, and M.M. Abbott, Introduc-                                       21. J.O. Hinze, Turbulence, Classic Textbook Re-issue
                         tion to Chemical Engineering Thermodynamics, 5th ed.,                                           series, McGraw-Hill, New York, 1987.
                         McGraw-Hill, New York, 1996.                                                                22. H. Tennekes, A First Course in Turbulence, MIT Press,
                     11. M. Modell and R. Reid, Fundamentals of Classical                                                Cambridge, MA, 1973.
                         Thermodynamics, 2nd ed., John Wiley & Sons, New                                             23. J.M. Beer and N.A. Chigier, Combustion Aerodynam-
                         York, 1973.                                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---  ics, Krieger Publishing, Malabar, FL, 1983.
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                24. M.A. Saad, Compressible Fluid Flow, Prentice-Hall,             31. Crane Engineering Division, Flow of Fluids through
                    Englewood Cliffs, NJ, 1985.                                        Valves, Fitting, and Pipe, Crane Co., New York, 1969.
                25. J.D. Anderson, Modern Compressible Flow with His-              32. B. Humiston, General Chemistry — Principles and
                    torical Perspective, McGraw-Hill, New York, 1982.                  Structure, John Wiley & Sons, New York, 1975,
                                                                                       169–177.
                26. J.R. Howell and R.O. Buckius, Fundamentals of Engi-
                                                                                   33. O. Reynolds, On the dynamical theory of imcompress-
                    neering Thermodynamics, 2nd ed., McGraw-Hill, New
                                                                                       ible viscous fluids and the determination of the crite-
                    York, 1992.
                                                                                       rion, Phil. Trans. Roy. Soc., 186, A123–164, 1895; and
                27. A.J. Ward-Smith, Critical flowmetering: the character-             Sci Papers I, 355.
                    istics of cylindrical nozzles with sharp upstream edges,       34. Visualization Society of Japan, The Fantasy of Flow,
                    Int. J. Heat and Fluid Flow, 1, 123–132, 1979.                     IOS Press, Amsterdam, 1993.
                28. R.R. Munson, D.F. Young, and T.H. Okiishi, Funda-              35. M. Van Dyke, An Album of Fluid Motion, The Para-
                    mentals of Fluid Mechanics, John Wiley & Sons, New                 bolic Press, Stamford, CA, 1982.
                    York, 1990, 52.                                                36. F. Kreith, The CRC Handbook of Mechanical Engi-
                29. W. Bussman, A Theoretical and Experimental Investi-                neering, CRC Press, Boca Raton, FL, 1998.
                    gation of Near-Wall Turbulence in Drag Reducing                37. J.A. Roberson and C.T. Crowe, Engineering Fluid
                    Flows, Ph.D. thesis, The University of Tulsa, Tulsa,               Mechanics, Houghton, Mifflin, Boston, MA, 1980.
                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                    OK, 1990.
                30. J. Nikuradse, Stromungsgesetze in rauhen Rohren,
                    VDI-Forschungsheft, 1933, 361. Translation available
                    in N.A.C.A. Tech. Memorandum, 1292.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Chapter 5
                                        Fuels
                                                                                                                                      Terry Dark, John Ackland, and Jeff White
                                            TABLE OF CONTENTS
                                               5.1         Gaseous Fuels ......................................................................................................................................... 158
                                                            5.1.1       Introduction............................................................................................................................... 158
                                                            5.1.2       Natural Gas ............................................................................................................................... 158
                                                            5.1.3       Liquified Petroleum Gas (LPG) ................................................................................................ 159
                                                            5.1.4       Refinery Gases .......................................................................................................................... 159
                                                            5.1.5       Combustible Waste Gas Streams .............................................................................................. 160
                                                            5.1.6       Physical Properties of Gaseous Fuels ....................................................................................... 165
                                                            5.1.7       Photographs of Gaseous Fuel Flames ....................................................................................... 165
                                               5.2         Liquid Fuels ............................................................................................................................................ 165
                                                            5.2.1       Introduction and History ........................................................................................................... 165
                                                            5.2.2       Oil Recovery ............................................................................................................................. 173
                                                            5.2.3       Production, Refining, and Chemistry........................................................................................ 175
                                                            5.2.4       Oils............................................................................................................................................ 178
                                                            5.2.5       Liquid Naphtha ......................................................................................................................... 179
                                                            5.2.6       Physical Properties of Liquid Fuels .......................................................................................... 179
                                               5.3         Gas Property Calculations....................................................................................................................... 183
                                                            5.3.1       Molecular Weight...................................................................................................................... 183
                                                            5.3.2       Lower and Higher Heating Values ............................................................................................ 184
                                                            5.3.3       Specific Heat Capacity.............................................................................................................. 184
                                                            5.3.4       Flammability Limits ................................................................................................................. 184
                                                            5.3.5       Viscosity.................................................................................................................................... 185
                                                            5.3.6       Derived Quantities .................................................................................................................... 185
                                               5.4         Typical Flared Gas Compositions ........................................................................................................... 185
                                                            5.4.1       Oil Field/Production Plant Gases.............................................................................................. 186
                                                            5.4.2       Refinery Gases .......................................................................................................................... 186
                                                            5.4.3       Ethylene/Polyethylene Gases.................................................................................................... 186
                                                            5.4.4       Other Special Cases .................................................................................................................. 186
                                        References ................................................................................................................................................................ 187
                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                   157
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              5.1 GASEOUS FUELS                                                    TABLE 5.1               Example Pipeline Quality Natural Gas
                                                                                                                                         Minimum                Maximum
              5.1.1 Introduction                                                   Major and Minor Components, vol%
              The term “gaseous fuel” refers to any combustible fuel that            Methane                                      75%                   —
              exists in the gaseous state under normal temperatures and              Ethane                                         —                 10.0%
                                                                                     Propane                                       —                   5.0%
              pressures. Gaseous fuels are typically composed of a wide              Butane                                         —                 2.00%
              range of chemical compounds. Low boiling point hydrocar-               Pentane and heavier                            —                 5.00%
              bons (both paraffins and olefins), hydrogen, carbon monox-             Nitrogen and other inerts                      —                 3–4%
                                                                                     Carbon dioxide                                 —                 3–4%
              ide, and inert gases (nitrogen and carbon dioxide) are among
                                                                                   Trace Components                                 —
              the many chemical constituents of common gaseous fuels.                Hydrogen sulfide                              —         0.25–1.0 grains/100 scf
              The purpose of this section is to introduce many of the com-           Mercaptan sulfur                               —        0.25–1.0 grains/100 scf
              mon fuel gas mixtures used as fuel in the hydrocarbon and              Total sulfur                                   —          5–20 grains/100 scf
                                                                                     Water vapor                                    —              7.0 lb/mmcf
              petrochemical industries. Commonly occurring waste gas                 Oxygen                                        —              0.2–1.0 ppmv
              mixtures in flare systems are also described.                        Other characteristics
                                                                                     Heating value, Btu/scf-gross saturated        950                 1150
              5.1.2 Natural Gas                                                    Liquids: Free of liquid water and hydrocarbons at delivery temperature and
                                                                                    pressure.
              Natural gas is a gaseous fossil fuel that is formed naturally        Solids: Free of particulates in amounts deleterious to transmission and utilization
              beneath the Earth and is typically found with or near crude oil       equipment.
              reservoirs. Proven natural gas reserves in the United States in      Adapted from Gas Processors and Suppliers Association, GPSA Engineering
              1993 totaled approximately 4.58 × 1012 m3 (1.62 × 1014 ft3).1        Data Book, Vol. 1, 10th ed., Tulsa, OK, 1987. With permission.
              In 1989, the U.S. Department of Energy estimated total natu-
              ral gas consumption in the United States at 19.384 quadril-
              lion Btu, 23.8% of the total U.S. energy consumption.2                increased corrosion rates, formation of solid hydrate com-
                 Natural gas consists of a fluctuating range of low boiling         pounds that can restrict or interrupt gas flow, and freezing of
              point hydrocarbons. Methane is the primary chemical com-              valves and regulators during cold weather conditions.5 Tech-
              ponent, and can be present in amounts ranging from 70 to              niques for the dehydration of natural gases include:
              99.6% by volume. Ethane can be present in amounts ranging                  1. Absorption with liquid desiccants: glycols (typically tri-
              from 2 to 16% by volume. Carbon dioxide, nitrogen, hydro-                     ethylene glycol) are used to absorb water vapor via coun-
              gen, oxygen, propane, butane, and heavier hydrocarbons are                    tercurrent-flow, packed-bed absorption columns.6
              also typically present in the fuel analysis.3 The exact analysis           2. Adsorption with solid desiccants: water vapor is adsorbed
              usually varies somewhat depending on the source of the gas                    onto a bed of inorganic porous solid material (silica gel,
              and on any heating value adjustments or supplementation.                      alumina, molecular sieves, etc.).6,7
                 Natural gas quality specifications have historically been               3. Dehydration with calcium chloride: solid anhydrous
              negotiated in individual contracts between the natural gas                    calcium chloride (CaCl2) absorbs water from the wet
              producer and the purchaser or pipeline company. Specifica-                    natural gas and forms various calcium chloride hydrates
              tion parameters often include upper and lower limits for heat-                (CaCl2 · xH2O). These hydrates are removed from the
              ing value, chemical composition, contaminants, water                          natural gas stream as a calcium chloride brine solution.6
              content, and hydrocarbon dew point. Table 5.1 outlines gen-                4. Refrigeration: a refrigeration coil is used to cool and con-
              eral specifications for pipeline-quality natural gas, as pro-                 dense water vapor from the wet natural gas stream. Sep-
                                                                                            aration of the liquid phase is accomplished via a two-
              vided by the Gas Processors Suppliers Association.4 Typical
                                                                                            phase, vapor/liquid separation drum.5
              commercial natural gas compositions, listed by production
              region, are contained in Table 5.2.3                                     Hydrogen sulfide must be removed from the raw natural gas
                 In addition to the primary combustible and inert chemical          stream due to air pollution considerations and corrosion haz-
              components discussed above, raw natural gas can also contain          ards. The hydrogen sulfide content of commercial natural gas
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              undesirable amounts of water, hydrogen sulfide, and/or                rarely exceeds 1.0 grains per 100 std. ft3 (0.023 g/m3). A major-
              carbon dioxide. Before the raw natural gas can be deposited           ity of pipeline companies responding to a 1994 poll limited
              into a pipeline transmission network, these undesirable com-          hydrogen sulfide concentrations to less than 0.3 g per 100 std.
              ponents must be removed.                                              ft3 (0.007 g/m3).1 In addition, carbon dioxide is often removed
                 Failure to remove the water vapor from raw natural gas             from the raw gas because the inert component weakens the
              prior to introduction to the pipeline network will result in          overall heating value of the gas stream.5 There are numerous
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Fuels 159
                   TABLE 5.2 Commercial Natural Gas Components and Typical Ranges of Composition
                                                                                        Sample Gas Compositions by Production Region (vol%)
                    Fuel Gas
                   Component              Tulsa, OK                Alaska   Algeria   Netherlands         Kuwait               Libya           North Sea      Alabama           Ohio         Missouri   Pennsylvania
                   CH4                          93%                100%       87%         81%                 87%                 70%             94%             90%            94%             84%        83%
                   C2H6                          3%                 —          9%          3%                  9%                 15%              3%              5%             3%              7%        16%
                   C3H8                          1%                 —          3%         <1%                  2%                 10%              1%             —              <1%             —          —
                   C4H10                        <1%                 —          1%         <1%                  1%                  4%             <1%             —              <1%             —          —
                   C5 & higher                  —                   —         —           —                   —                   —               —               —              —               —          —
                   CO2                           1%                 —         —            1%                  2%                 —               <1%             —               1%              1%        —
                   N2                            2%                  1%       <1%         14%                  1%                  1%              2%              5%             1%              8%         1%
                   O2                           —                   —         —           —                   —                   —               —               —              <1%             —          —
                   H2                           —                   —         —           —                   —                   —               —               —              <1%             —          —
Total 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100%
Adapted from Reed, R.J., North American Combustion Handbook, Vol. 1, North American Mfg. Co., Cleveland, OH, 1986.
                   commercial processes (chemical reaction, absorption, and                                                     may contain varying small amounts of olefinic hydrocarbons
                   adsorption) for the removal of acidic components (H2S and CO2)                                               such as propylene and butylene.1
                   from raw natural gas streams. The Gas Processors Suppliers                                                      Most of the LPG used in the United States consists prima-
                   Association (GPSA) Engineering Data Book discusses many                                                      rily of propane.8 Due to their relatively high boiling point,
                   of these hydrocarbon treatment processes in detail.6 Hydrogen                                                LPG mixtures containing high concentrations of normal
                   sulfide removed from the raw gas is generally converted to                                                   butane (boiling point = 31°F or –1°C at atmospheric pressure)
                   elemental sulfur via the Claus process.6                                                                     or isobutane (boiling point = 11°F or –12°C at atmospheric
                      After the necessary purification processes have been com-                                                 pressure) are preferred for use in warm climates. Conversely,
                   pleted, the commercial-grade natural gas is compressed to                                                    LPG mixtures containing high concentrations of propane
                   approximately 1000 psig (6.9 MPag) and is introduced to a                                                    (boiling point = –44°F or –49°C) are typically preferred for
                   natural gas pipeline distribution network.5 The gas is recom-                                                use in cold climates.5
                   pressed along the path to the consumer as necessary. Oper-                                                      LPG is often used in the hydrocarbon or petrochemical
                   ating pressure at an individual natural gas burner located at                                                industry as a fuel gas supplement or as a standby/start-up
                   a process furnace inside a petrochemical or hydrocarbon pro-                                                 fuel. However, due to its value as both a common petrochem-
                   cessing facility is reduced to an operating pressure range that                                              ical feedstock and a marketable commodity, LPG is not typ-
                   typically varies between 5 and 30 psig, depending on the                                                     ically preferred as a primary processing fuel.9
                   furnace’s heating requirements and the individual burner’s
                   design specifications.                                                                                       5.1.4 Refinery Gases
                                                                                                                                Although commercial natural gas and LPG are often used as
                   5.1.3 Liquified Petroleum Gas (LPG)                                                                          fuels in processing plants, internally generated refinery fuel
                   Liquefied petroleum gas (LPG) is the general term used to                                                    gases serve as the primary fuel component for most refineries,
                   describe a hydrocarbon that is stored as a liquid under mod-                                                 petrochemical plants, and hydrocarbon facilities. It is not
                   erate pressure but is a gas under normal atmospheric condi-                                                  usual for a process unit to produce its own fuel supply. Often,
                   tions. LPG is vaporized for use as a fuel. The primary                                                       fuel gas streams from various processing units are delivered to
                   chemical components of LPG are propane, propylene, nor-                                                      a common mixing point within the plant, before the new gas
                   mal butane, isobutane, and butylene.1 The Gas Processors                                                     mixture is returned to the processing units as refinery gas.
                   Suppliers Association (GPSA) Engineering Data Book con-                                                      Refinery fuel gases contain an extremely wide variety of
                   tains industry standard product specifications for commercial                                                chemical constituents, including paraffins, olefins, diolefins,
                   propane (predominantly propane and/or propylene), com-                                                       aromatics, mercaptans, organic sulfides, ammonia, hydrogen
                   mercial butane (predominantly butane and/or butylene), and                                                   sulfide, carbon monoxide, carbon dioxide, etc. Because plants
                   commercial butane-propane mixtures.4 LPG produced via the                                                    must operate in a manner best suited to maximize profit, the
                   separation of heavier hydrocarbons from natural gas is                                                       individual fuel gas streams originating at each process unit
                   mainly paraffinic, containing primarily propane, normal                                                      will vary in composition and quantity, depending on numer-
                   butane, and isobutane. LPG derived from oil-refinery gas                                                     ous economic and technical factors.10 Table 5.3 contains
                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              typical chemical compositions of fuel gas streams originating                                           streams, and lubrication oil contamination of the fuel gas
              from various process units within a petroleum refinery.11                                               stream. Potential solutions for the problems associated with
                                                                                                                      these liquid hydrocarbons include liquid extraction of the
                 It is very important that the refinery fuel gas leaving the
                                                                                                                      heavier chemical components (C5 and heavier) and filtration/
              common mixing point is a homogenous mixture of the fuel gas
                                                                                                                      coalescence of liquid components from the gas stream. In
              streams supplied. If the individual fuel gas supply streams vary
                                                                                                                      addition, increasing the velocity of the flowing gas through
              significantly in calorific value, and if the supply streams are
                                                                                                                      burner components (tips, risers, etc.) has been proven to cool
              not combined in a homogeneous manner, the calorific value of
                                                                                                                      the hardware and inhibit the cracking reactions that eventually
              the nonhomogeneous refinery fuel gas mixture will also vary
                                                                                                                      lead to plugging and coking.
              widely and often instantaneously. Unless the gas burners and
                                                                                                                         Wet fuel gas can introduce problems in cooler climates asso-
              control systems at each processing furnace have been designed
                                                                                                                      ciated with the condensation and subsequent freezing of water
              to accommodate instantaneous changes in fuel gas calorific
                                                                                                                      vapor inside the fuel gas system. If the water vapor reaches the
              value, the process will likely be impossible to control. All of
                                                                                                                      dew point in a cold atmospheric environment, there is danger
              the combustion performance parameters — including burner
                                                                                                                      of frost stoppage, freezing, or bursting of lines — a considerable
              stability, emissions control, heat transfer efficiency, and heat
                                                                                                                      fire safety hazard that merits serious thought. Options to combat
              flux — will suffer as a result of the nonhomogeneous fuel
                                                                                                                      water present in the fuel gas system include dehydration systems
              mixture.10 Static mixers are often used in various segments of
                                                                                                                      (as discussed in Section 5.2.1) and steam/electric tracing of
              industry to ensure a well-mixed, homogeneous fuel gas mix-
                                                                                                                      refinery fuel gas lines.10
              ture. However, static mixers are often impractical in the petro-
              chemical and hydrocarbon processing industries, typically due                                           5.1.5 Combustible Waste Gas Streams
              to pressure drop limitations of the refinery fuel gas system.
                                                                                                                      The quantity and variety of combustible waste gas streams in
                 Another problem often associated with the combustion of                                              the hydrocarbon and petrochemical industries are virtually
              refinery fuel gases is the presence of liquid hydrocarbons in                                           unlimited. Many of these waste gas streams are relatively
              the refinery fuel gas stream, which can accelerate the coking                                           high in inert concentration, with large amounts of nitrogen
              and plugging rates of downstream gas burner components.                                                 and carbon dioxide often present. As a result, these waste
              Sources of unwanted liquid hydrocarbons in refinery fuel gas                                            fuels are often low in heat content, with lower heating values
              streams include condensation of heavier fuel gas components                                             in the range of 400 to 800 Btu/scf (0.42 to 0.84 MJ/scm). For
              (C5 and higher) due to natural cooling of the fuel gas stream,                                          these reasons, waste fuels are not usually compressed into the
              liquid entrainment into absorber or fractionator overhead gas
                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---                                        main refinery fuel gas system. Two of the most widely used
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Fuels 161
FIGURE 5.1 Simplified process flow diagram for hydrogen reforming/pressure swing adsorption. (Adapted from Meyers, 199712).
                   combustible waste gas fuels, Pressure Swing Adsorption                                                                      TABLE 5.4 Typical Composition of Steam Reforming/PSA
                   (PSA) tail gas and Flexicoking gas are discussed in detail in                                                               Tail Gas
                   the sections below.                                                                                                                                                                       PSA Tail Gas Composition
                                                                                                                                               Fuel Gas Component                                                     (vol%)
                   5.1.5.1 Pressure Swing Adsorption (PSA) Tail Gas                                                                            CH4                                                                     17%
                   Pressure swing adsorption (PSA) tail gas is a low-pressure,                                                                 H2O                                                                     <1%
                   low-Btu fuel gas produced as a by-product of a PSA process,                                                                 H2                                                                      28%
                                                                                                                                               CO2                                                                     44%
                   a key purification component in the steam reforming hydro-                                                                  CO                                                                      10%
                   gen production process. Table 5.4 contains the approximate                                                                  N2                                                                      <1%
                   composition of a typical PSA tail gas fuel stream.
                                                                                                                                               Total                                                                   100%
                      PSA is a cyclic process that uses beds of solid adsorbent
                   to remove impurities such as carbon dioxide, carbon mon-
                   oxide, methane, and nitrogen from the hydrogen production
                   stream. A simplified process flow diagram of a typical steam
                   reforming hydrogen production unit using PSA is shown in                                                                          3. Shift conversion: the water-gas shift reaction is employed
                   Figure 5.1.12                                                                                                                        to convert the carbon monoxide produced in the reforming
                                                                                                                                                        step into additional hydrogen and carbon dioxide:
                      The steam reforming process is conducted in four stages:8,9,12
                         1. Feedstock preparation: feedstock (light hydrocarbons                                                                                            CO + H 2 O → H 2 + CO 2                             (5.2)
                            such as methane, propane, butane, and light liquid naph-
                            tha) at approximately 450 psig (31 bar) is preheated and                                                                     The shift conversion step is exothermic and is conducted
                            purified to remove reformer catalyst poisons such as halo-                                                                   at approximately 650°F (343°C) in the presence of a
                            gens and sulfur-containing compounds.                                                                                        chromium/iron oxide catalyst.
                         2. Reforming: the purified feedstock is reacted with steam
                            to form carbon monoxide and hydrogen:                                                                                    4. Hydrogen purification/PSA: following the shift conver-
                                                                                                                                                        sion step, the hydrogen production stream enters the PSA
                      C n H m + nH 2 O 1500 ° F & Ni Catylst
                                                         →(n + m 2)H 2 + nCO (5.1)                                                                 portion of the process. Adsorbent beds remove the impu-
                                                                                                                                                        rities (carbon dioxide, carbon monoxide, methane, and
                                                                            The reaction is endothermic and occurs within the process                   nitrogen) and a small portion of the product. Typical
                                                                            tubes of a reformer furnace in the presence of nickel                       hydrogen recovery is 80% or greater, with product purity
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              TABLE 5.5 Typical Composition of Flexicoking Waste Gas                                      stability problems associated with firing the low-pressure,
                                                                   Flexicoking Waste Gas Composition      high-inert-concentration (carbon dioxide and nitrogen) PSA
                                                                               (by volume)                tail gas alone, the PSA tail gas is typically supplemented by
              Fuel Gas Component                                      Sample 1          Sample 2          a light refinery fuel gas. The PSA and refinery fuel gases are
              CH4                                                       1.0%              0.8%            fired in a dual-fuel burner specifically designed for the steam
              H2                                                       20.0%             21.0%            reforming/PSA process. In this arrangement, the PSA and
              CO2                                                      10.0%             10.5%
                                                                                                          refinery fuel gases enter the combustion zone through sepa-
              CO                                                       20.0%             18.6%
              N2                                                       45.0%             45.6%            rate fuel connections and burner nozzles. The dual-fuel burn-
              H2O                                                       4.0%              3.5%            ers are capable of firing the two fuel mixtures separately or
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              H2S                                                     150 ppm               0             simultaneously, with PSA gas never providing more than 85
              COS                                                     120 ppm           120 ppm
                                                                                                          vol% of the total reformer fuel.
              Total                                                    100%               100%
CH4 93.4% 99% 81% 87% — — 65% 40% 28% 32% 36% 53% 17% 1%
                                                                               CO                —         —               —           —              —               —                       —              —              —          —             —                  —           10%           20%
                                                                               CO2              0.7%       —              0.9%         —              —               —                       —              —              —          —             —                  —           44%           10%
                                                                               N2               2.4%        1%             14%          0%            —               —                       —              —              —           7%            8%                 3%         <1%           45%
                                                                               H2O               —         —               —           —              —               —                       —              —              —          —             —                  —           <1%            3%
                                                                               O2                —         —               —           —              —               —                       —              —              —          —             —                  —           —             —
                                                                               H 2S              —         —               —           —              —               —                       —              —              —          —             —                  —           —             —
Total 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100%
Molecular weight 17.16 16.1 18.51 18.49 44.1 58.12 22.76 28.62 30.21 29.18 28.02 24.61 25.68 23.73
                                                                               Note: All values calculated using 60°F fuel gas and 60°F, 50% relative humidity combustion air.
                                                                                                                                                                                                                                                                                                            163
Copyright CRC Press
                                                                               TABLE 5.8 Physical Constants of Typical Gaseous Fuel Mixture Components
                                                                                                                                                                                                      Heating Value       Unit Volume per Unit Volume of Combustible   Unit Mass per Unit Mass of Combustible             Flammability
                                                                                                                                                                                                                                                                                                                             Limits
                                                                                                                                                                        Gas Density                                                                                                                                       (vol% in air
                                                                                                                                   Specific Heat Latent Heat of                                                                                                                                               Theoretical
                                                                                                                                                                Ideal Gas, 14.696 psia, 60°F      Btu/scf      Btu/lbm    Required for Combustion Flue Gas Products Required for Combustion Flue Gas Products               mixture)
                                                                                                                  Boiling   Vapor Capacity, Cp Vaporization                                                                                                                                                       Air
                                                                                                                   Point   Pressure 60°F &       14.696 psia & Specific      Gas Specific                                                                                                                      Required
                                                                                    Fuel Gas Chemical Molecular 14.696 psia 100°F 14.696 psia Boiling Point Gravity Density Volume LHV HHV LHV HHV                                                                                                            (lbm/10,000
                                                                                 8 Neopentane                                       C5H12   72.15      49.10    35.9    0.3666   135.58   2.491   0.190    5.259    3,692   3,994   19,390   20,978   8.0   30.186   38.183   5.0   6.0   30.186   —   3.548   11.781   15.329   3.050 1.498   11.781   —   7.307    1.4     8.3    8
                                                                                 9 n-Hexane                                         C6H14   86.18     155.72   4.956    0.3664   143.95   2.975   0.227    4.403    4,415   4,767   19,415   20,966   9.5   35.846   45.346   6.0   7.0   35.846   —   3.527   11.713   15.240   3.064 1.463   11.713   —   7.269    1.2     7.7    9
                                                                                10 Cyclopentane                                     C5H10   70.13    120.60    9.917    0.2712   137.35   2.420   0.180    5.556 3,512 3,764 19,005 20,368            7.5   27.939   35.180   5.0 5.0 28.939 — 3.850           11.155   14.793 3.146 1.283 11.155 —         7.262    —       —      10
                                                                                                                                                                                                                                                                                                                                                                                         164 The John Zink Combusion Handbook
11 Cyclohexane C6H12 84.16 177.40 3.267 0.2901 153.25 2.910 0.220 5.545 4,180 4,482 18,849 20,211 9.0 33.528 42.970 6.0 6.0 33.528 — 4.620 13.386 17.750 3.146 1.283 11.155 — 7.848 1.3 8.4 11
                                                                                12 Ethene                                           C2H4    28.05    –154.62    —       0.3622   207.57   0.969   0.074   13.525 1,512 1,613 20,275 21,636            3.0   11.320   14.320   2.0 2.0 11.320 — 3.422           11.362   14.784 3.138 1.284 11.362 —         6.833    2.7    34.0 12
                                                                                     (Ethylene)
                                                                                13 Propene                                          C3H6    42.08    –53.90    226.4    0.3541   188.18   1.453   0.111    9.017 2,185 2,336 19,687 21,048            4.5   16.980   21.480   3.0 3.0 16.980 — 3.422           11.362   14.784 3.138 1.284 11.362 —         7.024    2.0    10.0 13
                                                                                     (Propylene)
                                                                                14 1-Butene                                         C4H8    56.11     20.75    63.05    0.3548   167.94   1.937   0.148    6.762 2,885 3,086 19,493 20,854            6.0   22.640   28.640   4.0 4.0 22.640 — 3.422           11.362   14.784 3.138 1.284 11.362 —         7.089    1.6     9.3    14
                                                                                     (Butylene)
                                                                                15 Isobutene                                        C4H8    56.11     19.59     63.4    0.3701   169.48   1.937   0.148    6.762 2,868 3,069 19,376 20,737            6.0   22.640   28.640   4.0 4.0 22.640 — 3.422           11.362   14.784 3.138 1.284 11.362 —         7.129    1.6     —      15
                                                                                16 1-Pentene                                        C5H10   70.13     85.93    19.115   0.3635   154.46   2.421   0.185    5.410 3,585 3,837 19,359 20,720            7.5   28.300   35.800   5.0 5.0 28.300 — 3.422           11.362   14.784 3.138 1.284 11.362 —         7.135    1.4     8.7    16
                                                                                17 Benzene                                          C6H8     78.11   176.17    3.224    0.2429   169.31   2.697   0.206    4.857    3,595   3,746   17,421   18,184 7.5     28.300   35.800   6.0   3.0   28.300   —   3.072   10.201   13.274   3.380 0.692   10.201   —   7.300   1.38    7.98    17
                                                                                18 Toluene                                          C7H8     92.14   231.13    1.032    0.2598   154.84   3.181   0.243    4.118    4,296   4,497   17,672   18,501 9.0     33.959   42.959   7.0   4.0   33.959   —   3.125   10.378   13.504   3.343 0.782   10.378   —   7.299   1.28    7.18    18
                                                                                19 o-Xylene                                         C8H10   106.17   291.97    0.264    0.2914    149.1   3.665   0.280    3.574    4,970   5,222   17,734   18,633 10.5    39.619   50.119   8.0   5.0   39.619   —   3.164   10.508   13.673   3.316 0.848   10.508   —   7.338   1.18    6.48    19
                                                                                20 m-Xylene                                         C8H10   106.17   282.41    0.326    0.2782    147.2   3.665   0.280    3.574    4,970   5,222   17,734   18,633 10.5    39.619   50.119   8.0   5.0   39.619   —   3.164   10.508   13.673   3.316 0.848   10.508   —   7.338   1.18    6.48    20
                                                                                21 p-Xylene                                         C8H10   106.17   281.05    0.342    0.2769   144.52   3.665   0.280    3.574    4,970   5,222   17,734   18,633 10.5    39.619   50.119   8.0   5.0   39.619   —   3.164   10.508   13.673   3.316 0.848   10.508   —   7.338   1.18    6.48    21
22 Acetylene C2H2 26.04 –119 — 0.3966 — 0.899 0.069 14.572 1,448 1,499 20,769 21,502 2.5 9.433 11.933 2.0 1.0 9.433 — 3.072 10.201 13.274 3.380 0.692 10.201 — 7.300 2.5 80 22
                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                23 Methyl alcohol CH3OH                                     32.04     148.1     4.63    0.3231    473     1.106   0.084    11.841    767     868 9,066 10,258 1.5            5.660    7.160   1.0   2.0    5.660   —   4.498    4.974    6.482   1.373 1.124    4.974   —   6.309    6.72    36.5   23
                                                                                24 Ethyl alcohol C2H5OH                                     46.07    172.92     2.3     0.3323    367     1.590   0.121    8.236    1,449   1,600 11,918 13,161 3.0         11.320   14.320   2.0   3.0   11.320   —   2.084   6.919    9.003    1.911 1.173   6.919    —   6.841   3.28    18.95   24
                                                                                25 Ammonia         NH3                                      17.03     –28.2     212     0.5002   587.2    0.588   0.045    22.279    364     441 7,966 9,567 0.75            2.830    3.582   —     1.5    3.330   —   1.409    4.679    6.008     — 1.587      5.502   —   6.298   15.50   27.00   25
                                                                                26 Hydrogen         H2                                       2.02    –423.0      —      3.4080   193.9    0.070   0.005   188.217   274.6   325.0 51,625 61,095 0.5          1.887    2.387   —     1.0    1.887   —   7.936   26.323   34.290     — 8.937     26.353   —   5.613    4.00   74.20   26
                                                                                27 Oxygen           O2                                      32.00    –297.4      —      0.2186   91.6     1.105   0.084   11.858      —       —     —      —    —              —        —     —     —        —     —     —       —        —        —     —       —      —     —       —       —     27
                                                                                28 Nitrogen         N2                                      29.16    –320.4      —      0.2482   87.8     0.972   0.074   13.472      —       —     —      —    —              —        —     —     —        —     —     —       —        —        —     —       —      —     —       —       —     28
                                                                                29 Carbon          CO                                       28.01    –313.6      —      0.2484   92.7     0.967   0.074   13.546    321.9   321.9 4,347 4,347 0.5            1.877    2.387   1.0   —      1.887   —     —     1.897    2.468    1.571 —       1.870    —   5.677   12.50   74.20   29
                                                                                    monoxide
                                                                                30 Carbon          CO2                                      44.01    –109.3     —       0.1991   238.2    1.519   0.116    8.621     —       —       —        —       —      —        —       —     —      —       —    —       —        —        —     —       —       —    —       —       —      30
Fuels 165
                   hot (500 to 700°F or 260 to 370°C) gas oil is injected into the              result in the production of yellow flame. However, both
                   reactor vessel containing hot, fluidized coke particles. Thermal             yellow and blue flame burning can occur at virtually any
                   cracking reactions inside the reactor vessel produce fresh                   condition of deficient or surplus combustion air.
                   petroleum coke that is deposited as a thin film on the surface                  Yellow flame burning is the direct result of the cracking of
                   of existing coke particles inside the reactor bed. Cracked vapor             a hydrocarbon fuel into its hydrogen and carbon components,
                   products exit the Flexicoking process through the reactor                    followed by separate burning of the two constituents. The
                   vessel overhead stream for additional downstream processing.                 hydrogen constituents are burned in a rapid process that
                   Coke from the reactor vessel is continuously injected into the               produces a pale lavender-pink flame that is very difficult to
                   top of a second fluidized vessel, the coke heater, where it is               see except against a dark background. When yellow flame
                   heated and recycled to maintain a reactor bed temperature of                 burning occurs, the heavier carbon constituents burn in a
                   950 to 1000°F (510 to 540°C). A portion of the coke fed into                 relatively slower process that typically results in a lumines-
                   the top section of the coke heater is injected into the bottom               cent yellow flame.
                                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   of a third fluidized vessel, the gasifier. Inside the gasifier, the             Blue flame burning is the direct result of progressive oxygen-
                   coke is reacted with air and steam at approximately 1500 to                  ation of the fuel in a manner that does not allow uncombined
                   1800°F (820 to 980°C), producing a low-Btu fuel gas, or                      carbon to be present in the reaction (flame) envelope. Inadequate
                   Flexicoking gas, consisting primarily of nitrogen, hydrogen,                 fuel/air mixing can severely limit this reaction process, produc-
                   carbon monoxide, and carbon dioxide. The Flexicoking gas                     ing a greater tendency toward yellow flame. Both yellow and
                   flows from the top of the gasifier to the bottom of the heater,              blue flame burnings are possible with any hydrocarbon fuel, and
                   where it provides the heat necessary to maintain the reactor                 both kinds of flame produce equivalent quantities of heat.
                   bed temperature and helps fluidize the coke heater bed. The                     The hydrogen-to-carbon weight ratio (H:C) is a good indica-
                   high-temperature Flexicoking gas leaving the coke heater is                  tor of a fuel mixture’s relative tendency to produce yellow flame
                   used for high-pressure steam generation before entrained coke                burning, with low H:C ratios corresponding to an increased
                   fines are removed in a cyclone/venturi scrubber system.                      movement toward yellow flame burning. Pure hydrogen
                   Because the low-Btu gas stream leaving the Flexicoking pro-                  (H:C = ∞) typically burns as a pale lavender-pink flame that is
                   cess contains substantial concentrations of H2S (~150 ppm by                 very difficult to see except against a dark background. Pure
                   volume), the gas must first be sent through a hydrogen sulfide               methane (H:C = 0.33) typically burns as a light blue flame. Fuel
                   removal system before it can be burned as fuel.9,13                          mixtures containing propane (H:C = 0.22), butane (H:C = 0.21),
                                                                                                and the olefins (H:C = 0.166) all have a greater tendency to
                   5.1.6 Physical Properties of Gaseous Fuels                                   exhibit yellow flame burning than pure methane fuels.10
                   Tables 5.6, 5.7, and 5.8 provide physical and combustion
                   property data for a large variety of common fuel gas mixtures
                   and their chemical components.                                               5.2 LIQUID FUELS
FIGURE 5.3 100% TNG flame. FIGURE 5.4 90% TNG/10% N2 flame.
FIGURE 5.5 80% TNG/20% N2 flame. FIGURE 5.6 90% TNG/10% H2 flame.
                 Major oil deposits found in the United States prompted it                                              provided approximately two thirds of the world’s oil supply
              to become a major world oil producer. The successes of                                                    at prices near U.S. $1 per barrel (approximately 3000% lower
              American oil discovery and production inspired oil compa-                                                 than the current per barrel price).14 In 1960, the Organization
              nies in other countries to start a worldwide exploration for                                              of Petroleum Exporting Countries (OPEC) was founded by
              oil reserves. In the mid-1950s, major U.S. oil companies
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                        the governments of major oil-exporting countries for the
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Fuels 167
                   FIGURE 5.7 75% TNG/25% H2 flame.                                        FIGURE 5.8 50% TNG/50% H2 flame.
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   purpose of stabilizing oil production and prices. As the                exploited oil reserves throughout the world. The vast majority
                   demand for oil increased, the production inevitably increased.          of the known oil reserves in the world are located in the Middle
                   The consumption of crude oil in 1998 was approximately                  East (approximately two thirds), while the United States ranks
                   70 million barrels per day.15 Technological developments in             eighth on the known reserve list. The United States produces
                   drilling and exploration techniques have identified and                 only about 17% of the world’s oil, yet it consumes nearly
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FIGURE 5.11 50% TNG/25% H2/25% C3H8 flame. FIGURE 5.12 50% TNG/50% C3H8 flame.
FIGURE 5.13 100% C3H8 flame. FIGURE 5.14 100% C4H10 flame.
              30%.16 The Energy Information Administration (Office of                 States’ remaining oil reserves range from capacities of 25 to
              Oil & Gas) estimates that the total U.S. crude oil stocks are           100 billion barrels. Based on our current consumption
              310 million barrels, excluding the strategic petroleum                  patterns, these reserves could supply us with enough oil for
              reserve, as of May 19, 2000.14 Estimates of the United                  only 10 to 30 more years.
                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Fuels 169
                   FIGURE 5.15 Simulated cracked gas flame.                                 FIGURE 5.16 Simulated coking gas flame.
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 5.17 Simulated FCC gas flame. FIGURE 5.18 Simulated reforming gas flame.
                      Oil exploration, which initially was confined to land, has            ficulty with, and the high cost of extracting oil from, these
                   led to recovery efforts on the bottom of the ocean floor. The            complicated mediums keeps conventional crude oil recovery
                   most abundant forms of oil deposits found in the world today             as the leading source of usable raw material for refining pro-
                   are oil shale, heavy oil deposits, and tar sands. However, dif-          cesses. Figure 5.36 shows the capping of a burning oil well.
              FIGURE 5.19 100% Tulsa natural gas.                         FIGURE 5.20 100% hydrogen.
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Fuels 171
FIGURE 5.23 50% hydrogen/50% Tulsa natural gas. FIGURE 5.24 50% propane/50% Tulsa natural gas.
FIGURE 5.27 25% hydrogen/75% Tulsa natural gas. FIGURE 5.28 75% hydrogen/25% Tulsa natural gas.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 5.29 25% propane/75% Tulsa natural gas.         FIGURE 5.30 75% propane/25% Tulsa natural gas.
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Fuels 173
                   FIGURE 5.31 25% hydrogen/25% propane/50% Tulsa                                 FIGURE 5.32 25% hydrogen/50% propane/25% Tulsa
                   natural gas.                                                                   natural gas.
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 5.34 Viewing oil flame through a burner plenum.
Fuels 175
                   so that further collection is possible. The most common meth-           TABLE 5.9 Quantitative Listing of Products Made by
                   ods of off-loading and transporting crude oil is with pipelines         the U.S. Petroleum Industry
                   (such as the Great Alaskan Pipeline), seafaring oil tankers,               Product Classification                                Number of Individual Products
                   and barges. These transportation methods deliver the crude              Lubricating oils                                                         1156
                   oil to locations around the world for refining into usable              Chemicals, solvents, misc.                                                300
                   petroleum products.                                                     Greases                                                                   271
                                                                                           Asphalts                                                                  209
                                                                                           Waxes                                                                     113
                   5.2.3 Production, Refining, and Chemistry                               White oils                                                                100
                   The primary concern for a typical refinery is to convert a              Rust preventatives                                                         65
                                                                                           Diesel and light fuel oils                                                 27
                   barrel of crude oil (42 U.S. gallons) into usable products.
                                                                                           Motor gasolines                                                            19
                   A barrel of crude oil can typically be refined to provide               Residual fuel oil                                                          16
                   11 gallons of gasoline, 5.3 gallons of kerosene, 20.4 gallons           Liquified gases                                                            13
                   of gas-oil and distillates, and 5.3 gallons of heavier                  Other gasolines                                                            12
                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              to characterize the oil. Two terms frequently used when refer-                                      group of gases. Any time a fuel is burned in air with a hot
              ring to crude oil are “sweet” crude and “sour” crude. Sweet                                         flame, NOx are produced. The greater the flame temperature
              crude is oil that contains less than 0.5 wt.% sulfur, while sour                                    of the combustion, the greater the amount of NO that will be
              crude contains greater than 0.5 wt.% sulfur. Sulfur content is                                      produced. NO is then oxidized to form NO2 (over a period of
              of importance and concern, due to the sulfur oxides that are                                        minutes or hours), which is a major contributor to photochem-
              produced during combustion. SO2, for example, is a gas that                                         ical smog. In general, the fate of SO2 and NO are intertwined,
              has been shown to contribute significantly to several different                                     as can be seen by the following reaction sequence17:
              environmental problems — namely in acid rain formation and
              in its ready conversion to sulfuric acid, H2SO4. The nitrogen
                                                                                                                                                  SO 2 + OH • → HSO •3
              content of crude oil is of special interest to the combustion
              industry due to the high levels of nitrogen oxides or NOx (see                                                                HSO •3 + O 2 → SO 3 + HOO •
              Chapter 6) produced during combustion of these fuels (e.g.,
              approximately 0.2 lb per MMBtu NOx or 142 ppm can be                                                                            SO 3 + H 2 O → H 2 SO 4 ( g)
              attributed to “Fuel NOx” for an oil that contains 0.47 wt.%
                                                                                                                                          H 2 SO 4 ( g)   → H 2 SO 4 (aq)
                                                                                                                                                               H O
              nitrogen). Like SOx, NOx is an environmentally damaging                                                                                     
                                                                                                                                                          2
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Fuels 177
                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                      Below is a parallel reaction that takes place between nitro-           TABLE 5.10 General Fraction Boiling Points
                   gen oxide and the hydroperoxy radical, thus producing more                Distillation Fraction                                                   Temperature Range
                   of the hydroxyl radical to feed the initial reaction above:               Butanes and lighter                                                           <90°F
                                                                                             Gasoline                                                                     90–220°F
                                                                                             Naphtha                                                                     220–315°F
                                              HOO • + NO • → OH • + NO •2                    Kerosene                                                                    315–450°F
                                                                                             Fuel oils                                                                   450–800°F
                                                                                             Residue                                                                      >800°F
                   The overall reaction is then:
                                                                                             From Leffler, W.L., Petroleum Refining for the Non-technical Person,
                                                                                             Penn Well Publishing, Tulsa, OK, 1985. With permission.
                                                             → H 2 SO 4 (aq)
                                                                   H O
                                       SO 2 + NO • + O 2  
                                                           
                                                           2
                      Crude oil compositions are relatively constant. However,                  It is worth mentioning the group of compounds called
                   slight deviations in composition can result in vastly different           alkenes (olefins). Alkene compounds do not occur naturally
                   refining methods. Crude oils also contain inorganic elements              in crude oil, but are produced by reaction during the refining
                   such as vanadium, nickel, and sodium, and usually contain                 process. Therefore, it should be expected that a refined end
                   some amount of water and ash (noncombustible material).                   product will have some percentage of ethylene, propylene, or
                   The main hydrocarbon constituents of crude oils are alkanes               butylene, for example. Alkenes have the general formula of
                   (paraffins), cycloalkanes (naphthenes), and aromatics.                    CxH2x and contain a carbon-carbon double bond. Properties
                      Alkanes (also called paraffins after the Latin parum affinis,          of some of the alkenes are contained in Table 5.8.
                   “little affinity”) are those chemical structures that are based
                                                                                                When a crude oil is refined, the first step is, invariably,
                   on carbon atoms having only single bonds and that are com-
                                                                                             distillation. The purpose of distillation is to separate lighter
                   pletely saturated with hydrogen atoms. Some of the alkane
                                                                                             components from heavier ones, based on their respective vol-
                   hydrocarbons are listed in Table 5.8. The basic chemical
                                                                                             atility. The target of distillation is to separate the crude oil
                   formula for an alkane is CxH2x+2, where “x” is the number
                                                                                             into different fractions. Each fraction consists of a boiling
                   of carbon atoms present. Crude oils can contain structures
                                                                                             point range that will yield a mixture of hydrocarbons; see
                   with up to 70 carbon atoms.9 However, the vast majority of
                                                                                             Table 5.10. Some of these mixtures can then be used as
                   the compounds contain 40 carbon atoms or less. When the
                                                                                             product (fuels, solvents, etc.) or further refined into gasoline
                   number of different constitutional isomers (different chemi-
                                                                                             or other desirable mixtures. Catalytic cracking is a typical
                   cal connectivity and different physical properties, yet iden-
                                                                                             process used to break down and rearrange alkane mixtures
                   tical chemical formulae) is considered (tetracontane [C40H82]
                                                                                             produced via distillation into smaller, highly branched
                   has over 62 trillion possible isomers18), it is evident that the
                                                                                             alkanes by heating the mixtures to high temperatures in the
                   compositional diversity between differing crude oils is
                                                                                             presence of a variety of catalysts. Figure 5.38 shows a fluid
                   almost limitless.
                                                                                             catalytic cracking process. Due to the reactions that take place
                      Cycloalkanes (cylcoparaffins or naphthenes) are alkanes in
                                                                                             during catalytic cracking, the product streams are generally
                   which all or some of the carbon atoms are arranged in a ring.
                                                                                             heavier than the feed streams. Alkanes that are more highly
                   When a cycloalkane contains only one ring, the general for-
                                                                                             branched are desirable because they have a higher octane
                   mula is CxH2x. The most stable cycloalkane is cyclohexane,
                                                                                             rating than their unbranched cousins.
                   while cyclobutane and cyclopropane are the least stable. The
                   properties of cycloalkanes are very similar to those of alkanes,             Of particular interest are the liquid fuels produced during
                   as shown in Table 5.8.                                                    the various refining processes that are used by the hydrocar-
                      Aromatic compounds are those compounds that contain at                 bon and petrochemical industries. Refineries frequently burn
                   least one benzene-like ring. Benzene, discovered in 1825, has             these liquid fuels in process heaters so that the heat liberated
                   a chemical formula of C6H6, and is stable and nonreactive                 during combustion can be used to drive a more profitable
                   relative to alkanes and cycloalkanes. Aromatics, such as the              process. Light fuel oils are relatively easy to burn and pro-
                   heterocyclic compounds pyridine and furan, are composed of                duce flames similar to gas flames, while heavier oils require
                   rings that contain elements other than carbon. For example,               a more complicated process and produce flames that are quite
                   the benzene ring contains six carbon atoms, whereas the                   radiant and more highly dependent on atomization tech-
                   pyridine ring contains five carbon atoms and one nitrogen                 niques than the light oils. Oils are fired in burners by them-
                   atom. Properties of some of the aromatic compounds are                    selves, or in combination with fuel gas, waste gas, or both.
                   contained in Table 5.8.                                                   Naphtha is frequently fired in combination with a PSA or
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Fuel Gas
C3C4 to Treating
                                 To
                              Flue Gas                                                                                                                             Debutanized
                               System                                                                                                                              Gasoline
Naphtha
Main-Column Bottoms
              other waste gas, and requires good vaporization to provide                 hot surface. No. 2 oil is quite frequently used as fuel for pro-
              a quality flame.                                                           cess burners because it will readily burn when injected
                                                                                         through a nozzle into a combustion chamber. No. 2 oil is sig-
              5.2.4 Oils                                                                 nificantly easier to burn than residual oil due to the lack of
              According to the American Standard Testing Methods                         atomization and preheating requirements. Atomization is the
              (ASTM) D-396, fuel oils are divided into grades, based on the              breaking apart of a liquid into tiny, more easily combustible,
              types of burners for which they are suitable.20 The grades are             droplets using steam, air, fuel gas, or mechanical means.
              determined by those values determined to be most significant               These light distillate oils will typically distill out between
              in figuring performance characteristics. The two classifica-               450 and 800°F (230 and 430°C).
              tions that separate these fuel oils are “distillates” and “residu-
              als,” where distillates indicate a distillation overhead product           5.2.4.2 Heavy Oils
              (lighter oils) and residuals indicate a distillation bottom prod-          No. 4 oil is a heavy distillate oil typically blended from, and
              uct (heavier oils). Table 5.11 helps in differentiating between            thus having characteristics of, both light distillates and residual
              these various classifications; and Table 5.12 reveals typical              oils. These oils do not readily combust and therefore require
              analyses for these oils.                                                   some type of atomization, but still fall into a viscosity range
                                                                                         that does not require preheating prior to burning.
              5.2.4.1 Light Oils
              Grade 1 and 2 oils are light distillate (fuel) oils used primar-           5.2.4.3 Residual Oils
              ily in applications that do not require atomization by air or              No. 6 oil is a heavy residual oil sometimes referred to as
              steam in order to reduce droplet size for proper burning. No.              Bunker C oil. This oil requires significant atomization for
              1 oil will typically vaporize when it comes into contact with a            proper combustion. Due to its high viscosity, No. 6 oil
                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Fuels 179
                   requires heating during handling and further heating prior to                                            5.2.6 Physical Properties of Liquid Fuels
                   combustion chamber injection. No. 6 oil is usually preheated                                             When liquid fuels are encountered, there are certain proper-
                   to 150 to 200°F (66 to 93°C), to decrease its viscosity, before                                          ties that determine into which category they are divided, and
                   being atomized and injected into the burner. John Zink rec-                                              for what processes they are suitable for.
                   ommends a maximum viscosity of 200 SSU (Seconds Say-
                   bolt Universal) for use in its standard oil guns. Figures 5.39                                           5.2.6.1 Flash Point
                   and 5.40 show burners firing heavy oil.                                                                  The flash point of a liquid is the lowest temperature at which
                                                                                                                            enough vapors are given off to form a mixture that will ignite
                   5.2.5 Liquid Naphtha                                                                                     when exposed to an ignition source. The standard method for
                                                                                                                            determining flash point is ASTM D-93. Under certain condi-
                   Liquid naphtha is similar in its characteristics to kerosene                                             tions, ASTM D-56 can be used for light distillate oils. Some
                   (Table 5.13). Figure 5.41 shows a typical naphtha distillation                                           flash point values are provided in Table 5.11. The flash point
                   curve. In general, naphtha will boil out of a mixture between                                            is an important property for indication of volatility and for
                   220 and 315°F (100 and 157°C). Naphtha is categorized,                                                   storage requirements.
                   based on its volatility, into light, intermediate, and heavy
                   naphtha. Naphtha is a major constituent of gasoline; how-                                                5.2.6.2 Pour Point
                   ever, it generally requires further refining to make suitable                                            The pour point of a liquid is determined by ASTM D-99 and
                   quality gasoline. Prior to firing naphtha in a burner, care must                                         indicates the lowest temperature at which an oil will flow at a
                   be taken to vaporize it so that the combustion will be more                                              controlled rate. If the fluid temperature goes below this point,
                   complete and uniform.
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                            flow will be inhibited.
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                                                                      n-Heptane                                                                     1.610
                                                                      Methylcyclohexane                                                             2.433
                                                                      2-methylheptane                                                               5.618
                                                                      4-methylheptane                                                               1.824
                                                                      3-methylheptane                                                               4.841
                                                                      1c,3-dimethylcyclohexane                                                      3.252
                                                                      1t,4-Dimethylcyclohexane                                                      1.040
                                                                      1t,2-Dimethylcyclohexane                                                      1.169
                                                                      n-Octane                                                                     16.334
                                                                      1c,2-Dimethylcyclohexane                                                      1.674
                                                                      1,1,4-Trimethylcyclohexane                                                    3.500
                                                                      2,6-Dimethylheptane                                                           2.094
                                                                      1c,3c,5-Trimethylcyclohexane                                                  2.638
                                                                      m-xylene                                                                      2.426
                                                                      p-xylene                                                                      0.797
                                                                      2,3-Dimethylheptane                                                           1.475
                                                                      4-methyloctane                                                                3.417
                                                                      2-methyloctane                                                                4.491
                                                                      3-methyloctane                                                                4.576
                                                                      o-xylene                                                                      1.137
                                                                      n-Nonane                                                                     10.120
                                                                      Other                                                                        23.534
Total 100.000
                                                                      5.2.6.4 Viscosity
                                                                      In layman’s terms, the viscosity is a fluid’s resistance to
                                                                      flow. Technically, the viscosity is the ratio of shear stress to
                                                                      shear rate of a fluid in motion. Most fluids under consider-
                                                                      ation in this chapter (gases, fuel oils) are Newtonian fluids
                                                                      because the ratio given above is constant with respect to
                                                                      time, at a given temperature and pressure. A very important
                                                                      factor in the determination of fluid flow is the dimensionless
                                                                      quantity called the Reynolds number. The Reynolds number
                                                                      is calculated as:
                                                                                                      DVρ                                  DV
                                                                                            Re =                      or          Re =             (5.3)
                                                                                                       µ                                    ν
                   Fuels                                                                                                                                                                                        181
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                1000
                                                                                                 900                                                                      Residue
                                                                      Boiling Te mperature oF
                                                                                                 800
                                                                                                 700
                                                                                                                                                          Gas-Oil
                                                                                                 600
                                                                                                 500
                                                                                                 400                                   Kerosene
                                                                                                 300
                                                                                                                                 Naphtha
                                                                                                 200
                                                                                                                      Gasoline
                                                                                                 100
                                                                                                           Butanes and lighter
                                                                                                  0
                                                                                                       0   10   20    30     40       50       60        70       80        90      100
                                                                                                                  Cumulative Percent Volume
              typically streamlined and smooth, and called laminar.                            specific condition. Water is frequently used as a reference sub-
              However, when the Reynolds number increases above 2100,                          stance and, at 60°F, has a specific gravity of 1.0 and a density
              internal agitation takes place, and the flow is considered tur-                  of 1.94 slugs/ft3 (999 kg/m3), where 1 slug = 1 lbf ft/s2. Specific
              bulent. As seen in the Eq. (5.3), as the viscosity increases, the                gravity for gases requires an additional assumption relating to
              flow becomes more laminar, assuming the other properties                         pressure and temperature. Gas specific gravity is defined rela-
              stay constant. Viscosity is divided into two different catego-                   tive to air as the reference substance and is generally deter-
              ries: kinematic viscosity and absolute viscosity.                                mined at a standard temperature and pressure. Under those
                 Kinematic viscosity (ν) is dependent on fluid density, and                    conditions, gas-specific gravity can be calculated as the ratio of
              has units of length2 time–1. Typical units for kinematic vis-                    molecular weights.
              cosity are stokes (0.001 m2 s–1), centistokes (stoke/100),                          °API runs opposite that of specific gravity; therefore, as
              Seconds Saybolt Universal (SSU), and Seconds Saybolt Furol                       °API increases, the density decreases. When a fluid and water
              (SSF). Because the density of a fluid is dependent on tem-                       are compared at 60°F, the °API can be calculated as:
              perature, the viscosity of a fluid is likewise dependent on
              temperature. As the temperature increases, the viscosity of a                                                                141.5
                                                                                                                              °API =             − 131.5                   (5.5)
              fluid will decrease (become more fluid, or less viscous), and                                                                 SG
              vice versa.
                 Absolute viscosity (µ) can be calculated by multiplying the                      The specific volume (volume per unit mass) is the recip-
              kinematic viscosity by the density of the fluid. The most                        rocal of the density, and is commonly used in thermodynamic
              common units for absolute viscosity are the poise (1 Pa sec)                     calculations.
              and the centipoise (cp), which is poise/100.                                        The specific weight of a fluid (γ) is defined as its weight
                 The viscosity of oil is a very important consideration in                     per unit volume. The relationship that relates specific weight
              proper burner design. As previously mentioned, the more                          to the density is γ = ρ × g, where ρ is the density, and g is
              viscous the fluid, the more preheating required prior to burning.                the local acceleration (32.174 ft/s2). The specific weight of
              Several useful conversions are listed below:                                     water at 60°F is 62.4 lbm/ft3 (9.80 kN/m3).
Fuels 183
Viscosity, SSU
500,000
100,000
                                                                                                                                 20,000
                                                                                                                       50,000
                                                                                                                                 10,000
                                                                                                                                 5,000
                                                                                                                                 3,000
                                                                                                                                                 1,000
                                                                                                                                 2,000
                                                                                                                                                 300
                                                                                                                                                 600
                                                                                                                                                 400
                                                                                                                                                 200
                                                                                                                                                                100
80
40
35
                                                                                                                                                                                                                                32
                                                                                                                                                                                    60
50
                                                                                                                                                                                                                                           400
                                                                              200
                                                                                                                                                                                                                                            360
                                                                              180
                                                                              160
                                                                                                                                                                                                                                           320
                                                                              140
                                                                                                                                                                                                                                            240
                                                                              40 50 60 70 80 90 100
                                                                                                                                                                     HT
                                                                                                                                                           NO EAV
                                                                                                                                                                   G
                                                                                                                                                                LI
                                                                                                                                                   .6
                                                                                                                                                               H
                                                                                                                                                             .5
                                                                                                                                                 NO
                                                                                                                                                          .5
                                                                                                                                                        NO
                                                                              30
                                                                                                                                                                                                                                            80
                                                                              20
.4
                                                                                                                                                                                                                                            60
                                                                                                                                                          NO
                                                                              10
                                                                                                                                                                                                                                            40
                                                                                                                                                                                               .2
                                                                                                                                                                                             NO
                                                                              0
                                                                                                                                                                                                                                            20
                                                                              -10
                                                                              -20
                                                                                                                                                                                                                                            0
                                                                                                                                                                                                                                            -20
                                                                              -30
75
                                                                                                                                                        40
                                                                                                                                                        30
                                                                                                                                                                      15
                                                                                                      200,000
10;000
400
                                                                                                                                                                                                   6
                                                                                                                                                                                                   5
                                                                                                                                                                                                                            2
                                                                                                                                                        50
20
                                                                                                                                                                                    10
                                                                                                                      5,000
                                                                                                                                  2,000
                                                                                                                                  1,000
                                                                                                                                                 200
                                                                                                                                                       100
                                                                                                                                                                                                                                     0.5
                                                                                                                     50,000
                                                                                                                     20,000
              information, the following formulae are used to calculate                                              in terms of mole or mass fractions. Having assembled this
              molecular weight:                                                                                      information, the following formulae are used to calculate
                                                                                                                     specific heat (cp and cv formulae are analogous, only cp
                                      MW =         ∑ MW × y =                            1
                                                                                               (5.10)
                                                                                                                     formulae are shown):
                                                                                  ∑
                                                                   i   i
                                                                                          xi
                                                                                         MWi                                                        c p ( vol.) =   ∑c   p ,i   ( vol.) × yi    (5.13)
              where MW = molecular weight of mixture, MWi = molecular
              weight of component i, yi = mole fraction of component i,
              and xi = mass fraction of component i.
                                                                                                                                                   c p ( mass ) =   ∑c   p ,i   ( mass ) × xi   (5.14)
Fuels 185
                     With these exceptions in mind, the following mixing rules              determined for a stoichiometric fuel/air mixture, although
                   can be used to calculate LFL and UFL for most common gas                 other mixtures such as LFL and UFL are sometimes studied
                   mixtures:                                                                for special purposes, as discussed in Section 5.3.4 above.
                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   tionship is:
              5.4.1 Oil Field/Production Plant Gases                                the ethylene is mixed with heavier hydrocarbons (pentane,
              Gases produced in oil fields generally consist of saturated           hexane, hexene, etc.) to alter the properties of the polymer.
              hydrocarbon gases (paraffins), together with a certain amount         Random mixtures of ethylene and other hydrocarbons may
              of inerts. Oil field gases range in MW from 19 to 25. Such            be sent to the flare from the main process area. In addition,
              gases may contain significant amounts of H2S (sour gas wells)         reliefs from various special chemical storage areas may
              or CO2. In some cases, especially offshore, these associated          send relatively pure materials such as hexane or hexene to
              gases are burned continuously in the immediate vicinity of the        the flare.
              oil wells. In other cases, the gas is sent to a production plant
              where it is treated in preparation for pipeline use.                  5.4.4 Other Special Cases
                 Production plants convert the raw associated gas into
              several, more valuable products. Undesirable components               Landfills and digester facilities produce an off-gas that must
              such as H2S, CO2, and water vapor are removed in treatment            be disposed of to prevent odor problems in the community.
              units. Depending on the composition of the feedstock, pro-            The gas is generally a mixture of CO2 and CH4. Landfills are
              duction plants may include a debutanizer, a depropanizer,             rarely above 30 to 40% methane, while digesters may be as
              and a deethanizer to separate the large majority of these             high as 60 to 70% methane. In some landfills, perimeter
              valuable components. The remainder, mostly methane,                   wells are used to draw air into the edges of the landfill, which
              becomes pipeline-quality natural gas after the addition of            prevents the spread of anaerobic bacteria and methane. In
              odorants such as mercaptans. Within the production plant,             these cases, the methane content is even lower and some air
              it may become necessary to flare the raw associated gas, the          is also sent to the flare.
              pipeline product, or the overhead streams from any of the                Marine and truck loading facilities burn the vapor displaced
              separation units.                                                     from the tankers or trucks during the loading operation. In
                                                                                    many cases, the displaced vapor is mostly air with some
              5.4.2 Refinery Gases                                                  amount of evaporated gasoline or diesel fuel. Depending on
              Refineries treat the liquids produced in the oil fields to gen-       the ambient temperature, the resulting mixture could be very
              erate many essential materials for public consumption as              rich in hydrocarbon vapor, or very lean.
              well as further chemical processing. As a result of various
                                                                                       Medical equipment, such as bandages or hypodermic nee-
              treatment processes, hydrogen and unsaturated hydrocarbon
                                                                                    dles, is often sterilized by contact with ethylene oxide (ETO)
              gases (olefins, diolefins, aromatics, etc.) are produced in
                                                                                    vapors. ETO sterilizer flares are designed to receive the ETO
              abundance in a refinery. Due to the wide variety of treat-
                                                                                    vapor after the sterilization process is complete. The compo-
              ment processes, the composition of flared gases in a refin-
                                                                                    sition coming to these flares generally consists of a mixture
              ery is almost entirely unpredictable. Refinery flaring
                                                                                    of ETO and either air or nitrogen. It should be noted that ETO
              generally involves hydrogen, paraffins up to decane, olefins
                                                                                    has a flammability range from 3 to 100% and a very low
              up to hexene, diolefins up to butadiene, and aromatics up to
                                                                                    ignition temperature.
              ethylbenzene, as well as contaminants such as H2S, CO2,
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              and water vapor.                                                         Flares are often used as backup equipment for incinerators
                                                                                    during maintenance or malfunctions. In this type of service,
              5.4.3 Ethylene/Polyethylene Gases                                     the waste gas is usually enriched with a substantial amount
                                                                                    of clean fuel gas to ensure reliable burning. Steel mills pro-
              Ethylene plants use cracking furnaces to convert feedstock
                                                                                    duce off-gases that consist mainly of H2, H2O, CO, CO2, and
              into high-quality ethylene. Some plants use ethane as feed-
                                                                                    air. These are generally low LHV mixtures that also require
              stock. The gas produced by such plants is often referred to
                                                                                    enrichment and supplemental fuel firing to maintain ignition.
              as light cracked gas, and consists of approximately equal
                                                                                    Fertilizer plants and other chemical plants produce ammonia,
              portions of hydrogen, ethane, and ethylene with relatively
                                                                                    which may be sent to a flare in an emergency. Waste gases
              little else. Other plants use oil as feedstock and produce
                                                                                    that are sent to flares in these facilities may be pure ammonia
              heavy cracked gas. Heavy cracked gas is also approxi-
                                                                                    or diluted with nitrogen or water vapor.
              mately equal portions of hydrogen, ethane, and ethylene,
              but a substantial fraction of the composition consists of                The variety of gases and the hazards associated with each
              heavy hydrocarbon gases.                                              requires careful review of all aspects of system design to
                 Polyethylene plants take the ethylene from the ethylene            ensure that these fuels are safely handled, whether in a flare,
              plant and polymerize it in a variety of ways. In some cases,          a furnace, or an incinerator.
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Fuels 187
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                  Chapter 6
                                                                  Pollutant Emissions
                                                                                                                                                   Charles E. Baukal, Jr. and Joseph Colannino
                                                                     TABLE OF CONTENTS
                                                                        6.1       Introduction............................................................................................................................................. 190
                                                                                   6.1.1        Emissions in the Hydrocarbon and Petrochemical Industries .................................................. 190
                                                                                   6.1.2        Conversions............................................................................................................................... 190
                                                                        6.2       Nitrogen Oxides (NOx)........................................................................................................................... 191
                                                                                   6.2.1        Theory ....................................................................................................................................... 192
                                                                                   6.2.2        Regulations ............................................................................................................................... 196
                                                                                   6.2.3        Measurement Techniques.......................................................................................................... 197
                                                                                   6.2.4        Abatement Strategies ................................................................................................................ 198
                                                                                   6.2.5        Field Results ............................................................................................................................. 204
                                                                        6.3       Combustibles........................................................................................................................................... 214
                                                                                   6.3.1        CO and Unburned Fuel ............................................................................................................. 214
                                                                                   6.3.2        Volatile Organic Compounds .................................................................................................... 215
                                                                        6.4       Particulates .............................................................................................................................................. 217
                                                                                   6.4.1        Sources...................................................................................................................................... 217
                                                                                   6.4.2        Treatment Techniques ............................................................................................................... 218
                                                                        6.5       Carbon Dioxide ....................................................................................................................................... 218
                                                                        6.6       SOx ......................................................................................................................................................... 219
                                                                        6.7       Dioxins and Furans ................................................................................................................................. 219
                                                                  References ................................................................................................................................................................ 219
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                      189
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              TABLE 6.1 Typical Uncontrolled Combustion Emission                                                                  provided in 18 groups. Some of those groups of relevance
              Factors (lb/106 Btu) by Fuel Type                                                                                   here include both refinery gas-fired and fuel oil-fired boilers,
                                                                   Fuel Type   SOx     NOx      CO      Particulates   VOCs       and heaters fired on natural gas, refinery gas, oil, and a com-
              Distillate fuel                                                  0.160   0.140   0.0361      0.010       0.002      bination of natural gas and refinery oil. The U.S. EPA has
              Residual fuel                                                    1.700   0.370   0.0334      0.080       0.009      compiled an extensive list of emission factors for a wide
              Other oils                                                       1.700   0.370   0.0334      0.080       0.009      range of industrial processes.5 Chapter 1 of U.S. EPA AP-42
              Natural gas                                                      0.000   0.140   0.0351      0.003       0.006
              Refinery gas                                                     0.000   0.140   0.0340      0.003       0.006
                                                                                                                                  concerns external combustion sources and focuses on the fuel
              LPG                                                              0.000   0.208   0.0351      0.007       0.006      type. Sections 1.3, 1.4, and 1.5 of AP-42 focus on fuel oil com-
              Propane                                                          0.000   0.208   0.0351      0.003       0.006      bustion, natural gas combustion, and liquefied petroleum gas
              Steam coal                                                       2.500   0.950   0.3044      0.720       0.005
                                                                                                                                  combustion, respectively. Chapter 5 of AP-42 focuses on the
              Petroleum coke                                                   2.500   0.950   0.3044      0.720       0.005
              Electricity                                                      1.450   0.550   0.1760      0.400       0.004      petroleum industry, where the reader is referred to Sections 1.3
                                                                                                                                  and 1.4 for boilers and process heaters using fuel oil and
              Source: From Table 1-11 on p.16 of U.S. Dept. of Energy, Energy &
              Environmental Profile of the U.S. Petroleum Refining Industry, 1998.                                                natural gas, respectively. Chapter 6 of AP-42 concerns the
                                                                                                                                  organic chemical process industry. Reis (1996) has written a
                                                                                                                                  general book on environmental issues in petroleum engineer-
                                                                                                                                  ing, including drilling and production operations.6
              6.1 INTRODUCTION
              The purpose of this chapter is to alert the interested reader to
              the potential effects on pollutant emissions of the combustion
                                                                                                                                  6.1.2 Conversions
              processes in the petrochemical and hydrocarbon industries.                                                          It is often necessary to convert pollutant measurements
              There continues to be increasing interest in reducing pollut-                                                       (e.g., NOx and CO) into a standard basis for both regulatory
              ant emissions of all types from all combustion processes.                                                           and comparison purposes. One conversion often necessary is
              One prognosticator predicts this will continue well into the                                                        from the measured O2 level in the exhaust gases to a standard
              future.1 These pollutants have deleterious effects on the envi-                                                     basis O2 level. The method for converting measurements to a
              ronment and there is evidence they may have an impact on                                                            standard basis is given by7:
              the health of humans and animals. Efforts are underway from
              a broad cross-section of organizations to improve existing                                                                                                    20.9 − O 2 
                                                                                                                                                       ppm corr = ppm meas             ref
                                                                                                                                                                                                             (6.1)
                                                                                                                                                                            20.9 − O 2meas 
              techniques and to develop new techniques for minimizing
              pollution. While there are other pollutants potentially pro-
              duced in the hydrocarbon and petrochemical industries, this                                                         where ppmmeas = Measured pollutant concentration in flue
              chapter is only concerned with the air pollutants resulting                                                                         gases (ppmvd)
              from combustion processes.                                                                                                ppmcorr = Pollutant concentration corrected to a
                 There are numerous factors that affect the pollutant emis-                                                                       reference O2 basis (ppmvd)
              sions generated from the combustion of fuels. The U.S.                                                                    O2meas = Measured O2 concentration in flue gases
              Dept. of Energy has classified emission factors by fuel type                                                                        (vol.%, dry basis)
              for petroleum refining, as shown in Table 6.1.2 A U.S. Envi-                                                              O2ref   = Reference O2 basis (vol.%, dry basis)
              ronmental Protection Agency (U.S. EPA) report identified
              the following heater design parameters that affect NOx                                                              Example 6.1
              emissions from process heaters: fuel type, burner type, com-                                                        Given:    Measured NOx = 20 ppmvd; measured O2 = 2%
              bustion air preheat, firebox temperature, and draft type.3 The                                                                on a dry basis.
              important factors that influence pollution are considered                                                           Find:     NOx at 3% O2 on a dry basis.
              here. A brief general discussion of emissions from heaters                                                          Solution: ppmmeas = 20; O2meas = 2; O2ref = 3
              in refineries is given in API 560, section F.10.2.40
                                                                                                                                                                     20.9 − 3 
                                                                                                                                                      ppm corr = 20            = 18.9 ppmvd
                                                                                                                                                                    20.9 − 2 
              6.1.1 Emissions in the Hydrocarbon and
                    Petrochemical Industries                                                                                      This example shows that corrected NOx values will be lower
              The Western States Petroleum Association (WSPA) and the                                                             when the basis O2 is higher than the measured O2 because
              American Petroleum Institute (API) worked with the Califor-                                                         higher O2 levels mean more air dilution and therefore lower
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              nia Air Resources Board (CARB) to develop air toxics emis-                                                          NOx concentrations. The reverse is true when the basis O2 is
              sion factors for the petroleum industry.4 Source data was                                                           lower than the measured O2 level.
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                                                                T − Tbasis 
                                           ppm corr = ppm meas  ref                    (6.2)
                                                                Tmeas − Tbasis                        FIGURE 6.1 Cartoon of NO exiting a stack and com-
                                                                                                        bining with O2 to form NO2.
                   where ppmmeas = Measured pollutant concentration in flue
                                   gases (ppmvd)
                         ppmcorr = Pollutant concentration corrected to a                               Example 6.3
                                   reference temperature basis (ppmvd)                                  Given:    Measured NOx = 20 ppmvd; measured O2 = 2%
                         Tref    = Reference furnace temperature (°F)                                             on a dry basis; measured furnace temperature =
                         Tmeas   = Measured furnace temperature (°F)                                              1800°F.
                         Tbasis  = Basis furnace temperature (°F)                                       Find:     NOx at 3% O2 on a dry basis at a reference
                                                                                                                  temperature of 2000°F.
                   Example 6.2                                                                          Solution: ppmmeas = 20; O2meas = 2; O2ref = 3; Tmeas = 1800°F;
                   Given:    Measured NOx = 20 ppmvd; measured furnace                                            Tref = 2000°F assume Tbasis = 400°F
                                                                                                                                           20.9 − 3   2000 − 400 
                                                                                                                            ppm corr = 20
                             temperature = 1800°F.
                                                                                                                                                                     = 21.6
                   Find:     NOx at a reference temperature of 2000°F.                                                                    20.9 − 2   1800 − 400 
                   Solution: ppmmeas = 20; Tmeas = 1800°F; Tref = 2000°F
                                                                                                        In this case, the increase in NOx due to the temperature cor-
                             assume Tbasis = 400°F
                                                                                                        rection is greater than the reduction in NOx due to the higher
                                                       2000 − 400 
                                        ppm corr = 20
                                                                                                        O2 reference.
                                                                    = 22.9 ppmvd
                                                      1800 − 400 
                      There are two things to notice in the above example. The                          6.2 NITROGEN OXIDES (NOx)
                   first is that the basis temperature was chosen as 400°F, which                       NOx refers to the oxides of nitrogen. These generally include
                   is an empirically determined value that applies to many burn-                        nitrogen monoxide, also known as nitric oxide (NO), and
                   ers commonly used in the hydrocarbon and petrochemical                               nitrogen dioxide (NO2). They may also include nitrous oxide
                   industries. However, this equation should be used with care                          (N2O) (also known as laughing gas), as well as other less
                   for more unique burner designs and when there is a very large                        common combinations of nitrogen and oxygen such as nitro-
                   difference between the measured and the reference furnace                            gen tetroxide (N2O4).
                   temperatures. The second thing to notice is that the NOx                                In most high-temperature heating applications, the majority
                   increases when the reference temperature is higher than the                          of the NOx exiting the exhaust stack is in the form of nitric
                   measured temperature, and vice versa. As will be shown later,                        oxide (NO).8 NO is a colorless gas that rapidly combines with
                   NOx generally increases with the furnace temperature.                                O2 in the atmosphere to form NO2 (see Figure 6.1). In the
                      These two corrections can also be combined into a single                          lower atmosphere, NO reacts with oxygen to form ozone, in
                   correction when both the measured O2 level and furnace tem-                          addition to NO2. NO2 is extremely reactive and is a strong
                   perature are different from the reference O2 level and furnace                       oxidizing agent. NO2 decomposes on contact with water to
                   temperature:                                                                         produce nitrous acid (HNO2) and nitric acid (HNO3), which
                                                                                                        are highly corrosive (see Figure 6.2). When NO2 forms in the
                                                  20.9 − O 2   T − T                                 atmosphere and comes in contact with rain, acid rain is pro-
                                                                                     
                             ppm corr = ppm meas             ref
                                                                  
                                                                        ref   basis
                                                                                        (6.3)          duced. Acid rain is destructive to anything it contacts, includ-
                                                  20.9 − O 2meas   Tmeas − Tbasis                   ing plants, trees, and man-made structures like buildings,
                                                                                                        bridges, etc. In addition to acid rain, another problem with
                   where the variables are defined above.                                               NO2 is its contribution to smog. When sunlight contacts a
                                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                  FIGURE 6.4 Schematic of fuel NOx formation pathways. (Adapted from W. Bartok and A.F. Sarofim, Eds., Fossil Fuel
                                  Combustion: A Source Book, John Wiley & Sons, New York, 1991.)
                                     Figure 6.5 shows the predicted NO as a function of the               TABLE 6.2 Uncontrolled NOx Emission Factors for
                                  flame stoichiometry for air/fuel flames. NO increases at                Typical Process Heaters
                                  fuel-lean conditions and decreases at fuel-rich conditions.                                                       Uncontrolled Emission Factor, lb/106 Btu
                                  Figure 2.16 shows a plot of the adiabatic equilibrium flame                   Model Heater Type                    Thermal NOx             Fuel NOx     Total NOxa
                                  temperature for air fuel flames as a function of the flame
                                                                                                          ND, natural gas-firedb                           0.098                   N/A      0.098
                                  equivalence ratio. There are several things to notice. The              MD, natural gas-firedb                           0.197                   N/A      0.197
                                  flame temperature for the air/CH4 flame is very dependent on            ND, distillate oil-fired                         0.140                  0.060     0.200
                                  the stoichiometry. Figure 2.16 helps to explain why, for exam-          ND, residual oil-fired                           0.140                  0.280     0.420
                                  ple, NOx is dramatically reduced under fuel-rich conditions.            MD, distillate oil-fired                         0.260                  0.060     0.320
                                                                                                          ND, residual oil-fired                           0.260                  0.280     0.540
                                  One reason is the dramatic reduction in the flame temperature;
                                                                                                          ND, pyrolysis, natural                           0.104                   N/A      0.104
                                  another reason concerns the chemistry. In a reducing atmos-              gas-fired
                                  phere, CO is formed preferentially over NO. This is exploited           ND, pyrolysis, high-hydrogen                     0.140 d                N/A       0.140
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                        Equivalence Ratio
                                                                                           0.5    0.6   0.7       0.8    0.9    1.0     1.1     1.2       1.3       1.4     1.5
                                                                                    5000                                                                                          5000
                                                                                                        Fuel Lean                              Fuel Rich
                                                                                    4000                                                                H2                        4000
                                                                                                                                                        CH4
                                                                                                                                                        C3H8
                                                                       NO (ppmvw)
                                                                                                                                                                                           NO (ppmvw)
                                                                                    3000                                                                                          3000
2000 2000
1000 1000
                                                                                       0                                                                                          0
                                                                                           0.5    0.6   0.7       0.8    0.9    1.0     1.1     1.2       1.3       1.4     1.5
Equivalence Ratio
              FIGURE 6.5 Adiabatic equilibrium NO as a function of equivalence ratio for air/fuel flames.
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
2400 2400
                                                                                    2000                      H2                                                                2000
                                                                       NO (ppmvw)
                                                                                                                                                                                          NO (ppmvw)
                                                                                                              C3H8
                                                                                    1600                      CH4                                                               1600
1200 1200
800 800
400 400
                                                                                       0                                                                                     0
                                                                                       1600         2000          2400         2800        3200           3600            4000
FIGURE 6.6 Adiabatic equilibrium NO as a function of gas temperature for stoichiometric air/fuel flames.
              above 2000°F (1100°C) for all three fuels shown. This is a                                                                 Figure 6.7 shows how NOx increases when the combustion
              demonstration of the increase in thermal NOx as a function                                                              air is preheated. Air preheating is commonly performed to
              of temperature. Many combustion modification strategies for                                                             increase the overall thermal efficiency of the heating process.
              reducing NOx involve reducing the flame temperature                                                                     However, it can dramatically increase NOx emissions because
              because it has such a large impact on NOx. For example, one                                                             of the strong temperature dependence of NO formation.
              strategy is to inject water into the flame to reduce NOx by                                                             Figure 2.17 shows how the adiabatic flame temperature
              cooling down the flame to a lower temperature where NOx                                                                 increases with air preheating. The increase in NO emissions
              formation is less favorable.                                                                                            mimics the increase in flame temperature.
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                                                                                  8000                 H2                                                                         8000
                                                                                                       CH4
                                                                                  7000                 C3H8                                                                       7000
                                                                                  6000                                                                                            6000
                                                                     NO (ppmvw)
                                                                                                                                                                                           NO (ppmvw)
                                                                                  5000                                                                                            5000
4000 4000
3000 3000
                                                                                  2000                                                                    2000
                                                                                         0       200   400      600    800    1000 1200 1400 1600 1800 2000
FIGURE 6.7 Adiabatic equilibrium NO as a function of air preheat temperature for stoichiometric air/fuel flames.
                                                                                                       H2
                                                                                  3200                                                                                            3200
                                                                                                       CH4
                                                                                  3000                 C3H8                                                                       3000
                                                                                  2800                                                                                            2800
                                                                     NO (ppmvw)
NO (ppmvw)
2600 2600
2400 2400
2200 2200
2000 2000
                                                                                  1800                                                                                          1800
                                                                                         0       100   200      300    400    500      600       700      800       900      1000
FIGURE 6.8 Adiabatic equilibrium NO as a function of fuel preheat temperature for a stoichiometric air/CH4 flame.
                      Figure 6.8 shows how NOx increases with the fuel preheat                                                       increases as the H2 content in the blend increases. This is
                   temperature. Fuel preheating is another method used to improve                                                    similar to the effect on the adiabatic flame temperature as
                   the overall thermal efficiency of a heating process. Figure 2.18                                                  shown in Figure 2.19. The second thing to note is that the
                   shows how the adiabatic flame temperature increases due to fuel                                                   effect is not linear between pure CH4 and pure H2. NOx
                   preheating. The increase in NOx emissions follows the same                                                        increases more rapidly as the H2 content increases. The third
                   pattern as the increase in flame temperature.                                                                     thing to notice is that there is a significant difference between
                      Figure 6.9 shows how the fuel composition affects NO for                                                       the two extremes as the NOx ranges from a little less than
                   a blend of CH4 and H2. First, it is important to note that NO                                                     2000 ppmvw to a little more than 2600 ppmvw.
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
2700 2700
2600 2600
2500 2500
                                                                           2400                                                                                                2400
                                                              NO (ppmvw)
                                                                                                                                                                                       NO (ppmvw)
                                                                           2300                                                                                                2300
2200 2200
2100 2100
2000 2000
                                                                           1900                                                                                            1900
                                                                                   0         10          20   30      40    50     60        70       80       90       100
H2 in Fuel (vol. %)
                                                                                  100        90          80   70      60    50     40        30       20       10         0
                                                                                                                   CH4 in Fuel (vol. %)
              FIGURE 6.9 Adiabatic equilibrium NO as a function of fuel composition (CH4/H2) for a stoichiometric air/fuel flame.
                                                                           2000                                                                                                2000
1800 1800
1600 1600
1400 1400
                                                                           1200                                                                                                1200
                                                             NO (ppmvw)
                                                                                                                                                                                      NO (ppmvw)
                                                                           1000                                                                                                1000
800 800
600 600
400 400
200 200
                                                                              0                                                                                                0
                                                                                  0         10          20    30      40    50      60       70        80       90       100
N2 in Fuel (vol. %)
                                                                              100           90          80    70      60    50      40       30        20       10         0
                                                                                                                   CH 4 in Fuel (vol. %)
FIGURE 6.10 Adiabatic equilibrium NO as a function of fuel composition (CH4/N2) for a stoichiometric air/fuel flame.
                 Figure 6.10 shows how the fuel composition affects NO                                                           6.2.2 Regulations
              for a blend of CH4 and N2. NO (ppmvw) drops off rapidly as                                                         Regulations for NOx vary by country and region. The United
              the N2 in the fuel blend increases. At 100% N2, the “fuel”                                                         States, Japan, and Germany have some of the strictest regula-
              produces no NO. The additional quantity of N2 in the fuel                                                          tions. Perhaps the most stringent standards in the world are
              does not increase NOx because of the increased availability                                                        those enforced by the South Coast Air Quality Management
              of N2 to make NOx since there is already plenty of N2 avail-                                                       District (SCAQMD). SCAQMD governs the greater Los
              able from the combustion air.                                                                                      Angeles area and has proposed rules restricting NOx from
                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   burners to less than 5 ppmvd corrected to 3% O2 for new                      regulation for burners. For reference, traditional burners gener-
                   sources. Currently, there are no burners that can meet these                 ate ~100 ppm NOx when firing gaseous fuels.
                   emissions without post-combustion controls.                                     Some states have even more local agencies such as
                                                                                                SCAQMD regulating the greater Los Angeles area, or the
                   6.2.2.1 Units                                                                Bay Area Air Quality Management District (BAAQMD) reg-
                   Baukal and Eleazer (1995)14 have discussed potential sources                 ulating the greater San Francisco area. Additionally, there
                   of confusion in the existing NOx regulations. These sources                  are various voluntary standards recommended by various
                   of confusion can be classified as either general or specific.                institutes. The general trend is toward more stringent regu-
                   General sources of confusion include, for example, the wide                  lation. The large number of governing bodies shows the
                   variety of units that have been used, reporting on either a dry              general public support for stricter pollution control at all
                   or wet sample basis, measuring NO but reporting NO2, and                     levels of government.
                   reporting on a volume vs. a mass basis.
                      Historically, governing bodies have sprung up regionally                  6.2.3 Measurement Techniques
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   for the purpose of regulating specific sources. The governing                Accurate measurements of pollutants, such as NO and CO,
                   bodies have generally adopted units related to a traditional                 from industrial sources are of increasing importance in view
                   industry metric. This has led to a wide variety of NOx units.                of strict air-quality regulations. Based on such measure-
                   For example, internal combustion (IC) engines are generally                  ments, companies may have to pay significant fines, stop pro-
                   regulated on a gram-per-brake-horsepower (g/bhp) basis — a                   duction, install expensive flue-gas treatment systems, buy
                   mass-based unit normalized by the output power of the engine.                NOx credits in certain non-attainment areas, or change the
                   Gas turbines, on the other hand, are generally regulated on a                production process to a less polluting technology. If compli-
                   part-per-million (ppm) basis. Because this unit is volume                    ance is achieved, however, the company may continue their
                   based, it must be referenced to a standard condition. Gas                    processes without interruption and, sometimes, sell their
                   turbines usually operate near 15% excess oxygen, and tradi-                  NOx credits. Mandel (1997) notes that the equipment cost for
                   tionally NOx measurement requires removal of water before                    the gas analysis system is relatively small compared to the
                   analysis. Thus, gas turbines often use a ppm measurement                     maintenance and repair costs.15
                   referenced on a dry volume basis (ppmdv) to 15% oxygen.                         Numerous studies have been done and recommendations
                      In contrast, one typically operates industrial boilers and                made on the best ways to sample hot gases from high-
                   process heaters nearer to 3% excess oxygen. Thus, NOx emis-                  temperature furnaces. For example, U.S. EPA Method 7E16
                   sions from those units are generally referenced as ppmvd                     applies to gas samples extracted from an exhaust stack that are
                   corrected to 3% oxygen. However, these units can also be                     analyzed with a chemiluminescent analyzer. A typical sampling
                   regulated on a mass basis normalized by the heat release of                  system is shown in Figure 6.11. The major components are: a
                   the burner, for example, pounds per million Btu (lb/MMBtu).                  heated sampling probe, heated filter, heated sample line, mois-
                   Large electrical utilities operate their boilers under very tight            ture removal system, pump, flow control valve, and then the
                   oxygen limits. Therefore, some U.S. agencies regulate utility                analyzer. The U.S. EPA method states that the sample probe
                   boilers on a pound-per-megawatt basis (lb/MW). A further                     may be made of glass, stainless steel, or other equivalent mate-
                   complication is whether to normalize the unit by gross output                rials. The probe should be heated to prevent water in the com-
                   power (Gross MW), or to subtract parasitic power losses                      bustion products from condensing inside the probe.
                   (Net MW). Foreign regulatory agencies use SI units such as                      The U.S. EPA method is appropriate for a lower tempera-
                   grams per normal cubic meter (g/Nm3).                                        ture, nonreactive gas sample obtained, for example, from a
                                                                                                utility boiler. However, this method should not be used to
                   6.2.2.2 Regulations in the Hydrocarbon and                                   obtain samples from higher temperature industrial furnaces
                           Petrochemical Industries                                             used in glass or metals production. Flue-gas temperatures
                   The U.S. Environmental Protection Agency (U.S. EPA) regu-                    from such furnaces, as well as from some incinerators, can
                   lates emissions in the hydrocarbon and chemical processing                   be as high as 2400°F (1300°C). This would cause the probe
                   industries (HPI and CPI, respectively) nationwide. At the state              to overheat and affect the measurements because of high-
                   level, additional agencies are free to adopt more stringent regula-          temperature surface reactions inside the probe.
                   tions. Examples are the California Air Resources Board (CARB)                   The effects of probe materials, such as metal and fused
                   and the Texas National Resource Conservation Commission                      quartz, as well as the probe cooling requirements, have been
                   (TNRCC). The TNRCC is proposing a very strict sub-10-ppm                     investigated for sampling gases in combustion systems.17
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Stack Wall
Heated Filter
                                                                    Heated Probe
                                                                                                                      Pump
              TABLE 6.3 Reduction Efficiencies for NOx Control                                        Several studies have found that both metal and quartz probe
              Techniques                                                                              materials can significantly affect NO measurements in air/fuel
                  Draft and                                                  Total Effective          combustion systems, especially under fuel-rich conditions
                  Fuel Type                          Control Technique    NOx Reduction Percent       with high CO concentrations.18,19 However, the NO readings
              ND, distillate                        (ND) LNB                       40                 were not affected under fuel-lean conditions.
                                                    (MD) LNB                       43
                                                    (ND) ULNB                      76
                                                    (MD) ULNB                      74                 6.2.4 Abatement Strategies
                                                    SNCRa                          60                 Before air-quality regulations, the flue gases from combus-
                                                    (MD) SCR                       75
                                                    (MD) LNB + FGR                 43
                                                                                                      tion processes were vented directly to the atmosphere. As air-
                                                    (ND) LNB + SNCR                76                 quality laws tightened and the public’s awareness increased,
                                                    (MD) LNB + SNCR                77                 industry began looking for new strategies to curb NOx emis-
                                                    (MD) LNB + SCR                 86
                                                                                                      sions. The four strategies for reducing NOx are discussed
              ND, residual                          (ND) LNB                       27
                                                    (MD) LNB                       33                 next. Table 6.3 shows typical NOx reduction efficiencies as
                                                    (ND) ULNB                      77                 functions of the burner draft type (natural or forced), fuel
                                                    (MD)ULNB                       73                 (distillate or residual oil), and reduction technique.12 The
                                                    SNCR                           60
                                                    (MD) SCR                       75                 NOx emissions from gas-fired process heating equipment are
                                                    (MD) LNB + FGR                 28                 highly variable (see Table 6.4).29 Therefore, the technique or
                                                    (ND) LNB + SNCR                71                 techniques chosen to reduce NOx emissions are very site and
                                                    (MD) LNB + SNCR                73
                                                    (MD) LNB + SCR                 83                 equipment dependent. This section is not intended to be
              MD, distillate                        (MD) LNB                       45                 exhaustive, but is comprehensive and includes many of the
                                                    (MD) ULNB                      74                 commonly used techniques for minimizing NOx emissions.
                                                    (MD) SNCR                      60
                                                    (MD) SCR                       75
                                                    (MD) LNB + FGR                 48                 6.2.4.1 Pretreatment
                                                    (MD) LNB + SNCR                78                 The first NOx reduction strategy can be referred to as pre-
                                                    (MD) LNB + SCR                 92
                                                                                                      treatment. Pretreatment is a preventative technique to mini-
              MD, residual                          (MD) LNB                       37
                                                    (MD) ULNB                      73                 mize NOx generation. In pretreatment, the incoming feed
                                                    (MD) SNCR                      60                 materials (fuel, oxidizer, and/or the material being heated)
                                                    (MD) SCR                       75                 are treated in such a way as to reduce NOx. Some of these
                                                    (MD) LNB + FGR                 34
                                                    (MD) LNB + SNCR                75                 treatments include fuel switching, using additives, fuel treat-
                                                    (MD) LNB + SCR                 91                 ment, and oxidizer switching.
              Note: MD = mechanical draft, ND = natural draft, LNB = low-NOx burner,
              ULNB = ultra-low-NOx burner, SNCR = selective noncatalytic reduction,                   6.2.4.1.1 Fuel Switching
              SCR = selective catalytic reduction, FGR = flue gas recirculation.                      Fuel switching is simply replacing a more polluting fuel with
              a   Reduction efficiencies for ND or MD SNCR are equal.                                 a less polluting fuel. For example, fuel oils generally contain
              Source: From E.B. Sanderford, U.S. EPA Report EPA-453/R-93-015,                         some organically bound nitrogen that produces fuel NOx.
                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              February 1993.                                                                          Natural gas does not normally contain any organically bound
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                                                                       Note: Uncontrolled emissions are in the range of 0.1 to 0.53 lb/106 Btu. N/A = not available.
                                                                       Source: From J. Bluestein, Gas Research Institute Report GRI-92/0374, Gas Research
                                                                       Institute, Chicago, IL, 1992.
                   nitrogen and usually has only low levels of molecular nitro-                                           6.2.4.1.4 Oxidizer Switching
                   gen (N2). Partial or complete substitution of natural gas for                                          The fourth type of pretreatment is oxidizer switching, where
                   fuel oil can significantly reduce NOx emissions by reducing                                            a different oxidizer is used. Air is the most commonly used
                   the amount of nitrogen in the fuel. Figure 6.9 shows that CH4                                          oxidizer. It can be shown that substantial NOx reduction can
                   produces less NOx than H2. Fuels composed entirely of                                                  be achieved using pure oxygen, instead of air, for combus-
                   hydrogen can produce twice as much NOx as fuels with no                                                tion.21 For example, in the extreme case of combusting a fuel
                   hydrogen.20 Fuel switching may or may not be an option,                                                like CH4 with pure O2, instead of air that contains 79% N2 by
                   depending on the availability of fuels and on the economics                                            volume, it is possible to completely eliminate NOx as no N2
                   of switching to a different fuel.                                                                      is present to produce NOx. For example, if H2 is combusted
                                                                                                                          with pure O2, the global reaction can be represented by:
                   6.2.4.1.2 Additives
                   Another type of pretreatment involves adding a chemical to
                   the incoming feed materials (raw materials, fuel, or oxidizer)                                                                          2H 2 + O 2 → 2 H 2 O                   (6.7)
                   to reduce emissions by changing the chemistry of the com-
                   bustion process. One example would be injecting ammonia                                                By drastically reducing the N2 content in the system, NOx is
                   into the combustion air stream as a type of in situ de-NOx                                             minimized. However, there are significant challenges to
                   process, but only under certain conditions (see Section                                                using high-purity oxygen — instead of air — for combus-
                   6.2.4.4.1). Several factors must be considered in determining                                          tion.22 This technique has not been used widely in the hydro-
                   the viability of this option. These include economics, the                                             carbon, petrochemical, and power generation industries, but
                   effects on the process, and the ease of blending chemicals                                             could become more popular in the future as the cost of oxy-
                   into the process.                                                                                      gen continues to decline as less expensive methods for sepa-
                                                                                                                          rating oxygen from air are developed.
                   6.2.4.1.3 Fuel Pretreatment
                   A third type of pretreatment involves treating the incoming
                   fuel prior to its use in the combustion process. An example                                            6.2.4.2 Combustion Modification
                   would be removing fuel-bound nitrogen from fuel oil or                                                 The second strategy for reducing NOx is known as combus-
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   removing molecular nitrogen from natural gas, which can                                                tion modification. Combustion modification prevents NOx
                   reduce NOx in air- or O2-fuel, and O2-fuel combustion, respec-                                         from forming by changing the combustion process. There are
                   tively. This is normally an expensive process, depending on                                            numerous methods that have been used to modify the com-
                   how much treatment must be done and how the fuel is treated.                                           bustion process for low NOx. A popular method is a low
                   For example, it is generally more difficult to remove nitrogen                                         NOx burner design in which specially designed burners gen-
                   from fuel oil than from natural gas. In Europe, some natural                                           erate less NOx than previous burner technologies. Low NOx
                   gas supplies have as much as 15% N2 by volume. If only a few                                           burners may incorporate a number of techniques for mini-
                   percent N2 needs to be removed from that type of natural gas,                                          mizing NOx, including flue-gas recirculation, staging, pulse
                   this can usually be done relatively easily and inexpensively                                           combustion, and advanced mixing. Common combustion
                   with adsorption or membrane separation techniques.                                                     modification techniques are discussed next.
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              6.2.4.2.1 Air Preheat Reduction                                            lems, especially the high-frequency cycling of the switching
              One combustion modification technique is reducing the com-                 valves, that have not been satisfactorily resolved yet.
              bustion air preheat temperature. As shown in Figure 6.8,
              reducing the level of air preheat can significantly reduce NOx             6.2.4.2.3 Staging
              emissions. Air preheat greatly increases NOx for processes                 Staged combustion is an effective technique for lowering
              that use heat recuperation. However, reduction of air preheat              NOx. Staging means that some of the fuel or oxidizer, or
              also reduces the overall system efficiency, as shown in                    both, is added downstream of the main combustion zone. The
              Figure 2.23. The loss of efficiency can be somewhat mitigated              fuel, oxidizer, or both can be staged into the flame. For exam-
              if the heater is equipped with a convection section. This is a             ple, there may be primary and secondary fuel inlets where a
              fairly easy technique to implement and may be cost-effective               portion of the fuel is injected into the main flame zone, and
              if the lost efficiency is more than offset by alternative NOx              the balance of the fuel is injected downstream of that main
              reduction techniques.                                                      flame zone. In fuel staging, some of the fuel is directed into
                                                                                         the primary combustion zone, while the balance is directed
              6.2.4.2.2 Low Excess Air                                                   into secondary and even tertiary zones in some cases (see
              As shown in Figure 6.5, excess air increases NOx emissions.                Figures 1.36 and 1.37). This makes the primary zone fuel-
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              The excess air generally comes from two sources: the combus-               lean, which is less conducive to NOx formation when com-
              tion air supplied to the burner and air infiltration into the heater.      pared to stoichiometric conditions. The excess O2 from the
              Excess air produced by either source is detrimental to NOx                 primary zone is then used to combust the fuel added in the
              emissions. Excess air increases NOx formation by providing                 secondary and tertiary zones. While the overall stoichiometry
              additional N2 and O2 that can combine in a high-temperature                can be the same as in a conventional burner, the peak flame
              reaction zone to form NO. In many cases, NOx can be reduced                temperature is much lower in the staged fuel case because the
              by simply reducing the excess air through the burners.                     combustion process is staged over some distance while heat
                 Air infiltration, sometimes referred to as tramp air, into a            is simultaneously being released from the flame. The lower
              combustion system affects the excess air in the combustor                  temperatures in the staged fuel flame help to reduce the NOx
              and can affect NOx emissions. The quantity and location of                 emissions. Thus, fuel staging is effective for two reasons: (1)
              the leaks are important. Small leaks far from the burners are              the peak flame temperatures are reduced, which reduces
              not nearly as deleterious as large leaks near the flames. By               NOx; and (2) the fuel-rich chemistry in the primary flame
              reducing air infiltration (leakage) into the furnace, NOx can              zone also reduces NOx. Waibel et al. (1986) have shown that
              be reduced because excess O2 generally increases NOx.                      fuel staging is one of the most cost-effective methods for
                 There is also an added benefit in reducing excess air.                  reducing NOx in process heaters.23
              Reducing the excess O2 in a combustion system is also useful                  In air staging, some of the combustion air is directed into
              for maximizing thermal efficiency because any unnecessary                  the primary combustion zone, while the balance is directed
              air absorbs heat that is then carried out of the stack with the            into secondary and even tertiary zones in some cases
              exhaust products. However, there is a practical limit to how               (see Figures 1.34 and 1.35). This makes the primary zone fuel-
              low the excess O2 can be. Because the mixing of the fuel and               rich, which is less conducive to NOx formation when com-
              air in a diffusion flame burner is not perfect, some excess air            pared to stoichiometric conditions. The unburned combusti-
              is necessary to ensure both complete combustion of the fuel                bles from the primary zone are then combusted in secondary
              and minimization of CO emissions. The limit on reducing the                and tertiary zones. While the overall stoichiometry may be the
              excess air is CO emissions. If the excess O2 is reduced too                same as in a conventional burner, the peak flame temperature
              much, then CO emissions will increase. CO is not only a                    is much lower in the staged air case because the combustion
              pollutant, but also an indication that the fuel is not being fully         process is staged over some distance while heat is simulta-
              combusted, resulting in lower system efficiencies.                         neously being released from the flame. The lower temperatures
                 There are some special techniques that control the O2 in                in the staged air flame help reduce the NOx emissions.
              the flame to minimize NOx. One example is pulse combus-
              tion, which has been shown to reduce NOx because the alter-                6.2.4.2.4 Gas Recirculation
              nating very fuel-rich and very fuel-lean combustion zones                  Furnace gas recirculation is a process that causes the prod-
              minimize NOx formation. The overall stoichiometry of the                   ucts of combustion inside the combustion chamber to be
              oxidizer and fuel is maintained by controlling the pulsations.             recirculated back into the flame (see Figure 6.12). This is
              Pulse combustion is not being used in many industrial com-                 sometimes referred to as internal flue gas recirculation.
              bustion processes at this time due to some operational prob-               External flue gas recirculation (see Figure 1.28) is similar.
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                   External flue gas recirculation causes the exhaust gases in the            capital intensive than most post-treatment methods. In many
                   flue to be recirculated back through the burner into the flame             cases, there is a limit to how much NOx reduction can be
                   via ductwork external to the furnace. Although the furnace or              achieved using these methods.
                   flue gases are hot, they are considerably cooler than the flame                Another form of water injection is to inject water in the form
                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   itself. The cooler furnace or flue gases act as a diluent, reduc-          of steam. There are several reasons for this. One is that steam
                   ing the flame temperature, which in turn reduces NOx (see                  is much hotter than liquid water and already includes the latent
                   Figure 6.6). Advanced mixing techniques use carefully                      heat of vaporization needed to change the liquid water to a
                   designed burner aerodynamics to control the mixing of the                  vapor. When liquid water is injected into a combustion process,
                   fuel and the oxidizer. The goals of this technique are to avoid            it can put a large heat load on the process because liquid water
                   hot spots and make the flame temperature uniform, to                       can absorb a large amount of energy before becoming a vapor
                   increase the heat release from the flame, which lowers the                 due to its high latent heat of vaporization. Steam puts a much
                   flame temperature, and to control the chemistry in the flame               smaller load on the process because it absorbs less energy than
                   zone to minimize NOx formation.                                            liquid water. Another reason for using steam instead of liquid
                      External flue gas recirculation requires some type of fan to            water is that steam is already in vapor form and mixes readily
                   circulate the gases external to the furnace and back through               with the combustion gases. Liquid water must be injected
                   the burner. The burner must be designed to handle both the                 through nozzles to form a fine mist to disperse it uniformly
                   added volume and different temperature of the recirculated                 with the combustion gases. Therefore, it is often easier to blend
                   gases that are often partially or fully blended with the com-              steam into the combustion products compared to liquid water.
                   bustion air. Garg (1992) estimates NOx reductions of up to                 At equivalent injection rates, water injection is usually more
                   50% using flue gas recirculation.24                                        effective at reducing NOx than steam injection.
              TABLE 6.5 NOx Reductions for Different Low-NOx                                    the air needed to fully combust the fuel. Rather than air stag-
              Burner Types                                                                      ing in individual burners, the BOOS technique stages air over
                                                                               Typical NOx      the entire boiler. This technique is relatively inexpensive to
                                                                                Reductions      implement. Ensuring proper heat distribution is important to
                                    Burner Type                                    (%)
                                                                                                prevent overheating the tubes or derating the firing capacity.
              Staged-air burner                                                  25–35
              Staged-fuel burner                                                 40–50
              Low-excess-air burner                                              20–25          6.2.4.3 Process Modification
              Burner with external FGRa                                          50–60          There are a number of techniques that can be employed to
              Burner with internal FGRa                                          40–50          change the existing process in such a way as to reduce NOx
              Air or fuel-gas staging with internal FGRa                         55–75
              Air or fuel-gas staging with external FGRa                         60–80
                                                                                                emissions. These methods are often more radical and expen-
                                                                                                sive, and are not often employed except under somewhat
              a   FGR = Flue gas recirculation.
                                                                                                unique circumstances. These must be analyzed on a case-by-
              Source: A. Garg, Chem. Eng. Prog., 90(1), 46–49, 1994. With permission.
                                                                                                case basis to see if they are viable.
                                                                   the existing fossil-energy heating to electricity. Besides the                energy consumption means less NOx generated. However,
                                                                   removal of the existing burners, there would be the cost of the               this is obviously not an option in most cases, and is only con-
                                                                   new electrical heaters and often large costs of installing elec-              sidered under extreme circumstances. In the above example,
                                                                   trical substations that would be required for all the additional              purer or “sweeter” crudes are much more expensive raw
                                                                   power. In many parts of the country, large additional sources                 materials than less pure or more “sour” crudes. Therefore, the
                                                                   of electricity are not readily available, so a new source of                  savings in energy may be more than offset by the higher raw
                                                                   electricity may need to be built at the plant, such as a co-                  material costs.
                                                                   generation facility. However, although the electrical costs can
                                                                   be reduced in that scenario because the transmission losses are               6.2.4.4 Post-treatment
                                                                   much lower, the NOx emissions are now at different locations                  The fourth strategy for minimizing NOx is known as post-
                                                                   at the site and little may then be gained in reducing overall NOx             treatment. Post-treatment removes NOx from the exhaust
                                                                   emissions for the plant. It is likely in the future that regulations          gases after the NOx has already been formed in the combus-
                                                                   will consider the net NOx generated during the production of                  tion chamber. Two of the most common methods of post-
                                                                   a product and would include the NOx formed in the generation                  treatment are selective catalytic reduction (SCR) and selec-
                                                                   of electricity. This will make replacement of fossil energy with              tive noncatalytic reduction (SNCR).29 Wet techniques for
                                                                   electricity less attractive as most of the power generated in the             post-treatment include oxidation-absorption, oxidation-
                                                                   United States is by fossil-fuel-fired power plants.                           absorption-reduction, absorption-oxidation, and absorption-
                                                                                                                                                 reduction. Dry techniques for post-treatment, in addition to
                                                                   6.2.4.3.3 Improved Thermal Efficiency                                         SCR and SNCR, include activated carbon beds, electron
                                                                   By making a heating process more efficient, less fuel needs                   beam radiation, and reaction with hydrocarbons. One of the
                                                                   to be burned for a given unit of production. Because the firing               advantages of post-treatment methods is that multiple
                                                                   rate is directly proportional to NOx emissions, less fuel used                exhaust streams can be treated simultaneously, thus achiev-
                                                                   equals less NOx produced. There are many ways to improve                      ing economies of scale. Most of the post-treatment methods
                                                                   the efficiency of a process. A few representative examples                    are relatively simple to retrofit to existing processes.
                                                                   will be given. One is to repair the refractory and air infiltra-                  Many of these techniques are fairly sophisticated and are not
                                                                   tion leaks on an existing heater. This is often relatively                    trivial to operate and maintain in industrial furnace environ-
                                                                   inexpensive and saves fuel while reducing NOx. Another is                     ments. For example, catalytic reduction techniques require a
                                                                   to add heat recovery to a heating process that does not cur-                  catalyst that may become plugged or poisoned fairly quickly by
                                                                   rently have it. The heat recovery could be in several forms.                  dirty flue gases. Post-treatment methods are often capital inten-
                                                                   One method is to preheat the incoming combustion air. As                      sive. They usually require halting production if there is a mal-
                                                                   previously discussed, this can increase NOx emissions due to                  function of the treatment equipment. Also, post-treatment does
                                                                   the higher flame temperatures if it is not done properly.                     not normally benefit the combustion process in any way. For
                                                                   Another method is to add a convection section onto a heater                   example, it does not increase production or energy efficiency.
                                                                   that does not presently have it. This has other operational                   It is strictly an add-on cost. A good reference for post-treatment
                                                                   benefits as well and is often a good choice. A more drastic                   NOx control for heaters used in refineries is API 536.39
                                                                   method of increasing the thermal efficiency of a heating pro-
                                                                   cess is to replace an old, existing heater with a new, more                   6.2.4.4.1 Selective Catalytic Reduction (SCR)
                                                                   modern design. This may make sense if the existing heater is                  Selective catalytic reduction (SCR) involves injecting an
                                                                   very old, is high maintenance, and is not easily repairable or                NOx-reducing chemical into an exhaust stream in the pres-
                                                                   upgradable. However, new sources often must meet more                         ence of a catalyst within a specific temperature window. The
                                                                   stringent NOx standards than existing sources.                                chemical is typically ammonia and the temperature window
                                                                                                                                                 is approximately 500 to 1100°F (230 to 600°C). The NOx
                                                                                                                                                 and NH3 react on the catalyst surface to form N2 and H2O.
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              into the system, which often increases the power require-                                                       chemicals slip through the exhaust without reacting, referred
              ments for the gas-handling equipment. The catalyst may                                                          to as ammonia slip when ammonia exits the stack).12
              become plugged or fouled in dirty exhaust streams, which                                                           CO can be elevated with large quantities of NH3 because
              is especially a challenge when firing liquid fuels like residual                                                the NH3 competes for the OH radical, the main oxidation
              oil. The ammonia must be properly injected into the flue                                                        route for CO:41
              gases to get proper mixing, at the right location to be in the
              proper temperature window, and in the proper amount to get                                                                                     CO + OH → CO 2 + H
              adequate NOx reduction without allowing ammonia to slip
                                                                                                                                                         NH 3 + OH → NH 2 + H 2 O
              through unreacted. SCR systems are not very tolerant of
              constantly changing conditions, as a stable window of oper-                                                     There are also safety concerns with regard to the transport
              ation is required for optimum efficiency. Another problem is                                                    and storage of the ammonia (NH3) used in SNCR. Other
              handling the spent catalyst. Regeneration is often most                                                         major challenges of this technology include finding the
              attractive but may be more expensive than buying new cat-                                                       proper location in the process to inject the chemicals (the
              alyst. Disposal of the spent catalyst may be expensive as it                                                    chemicals must be injected where the flue gases are within a
              may be classified as a hazardous waste, especially if the                                                       relatively narrow temperature window for optimum effi-
              catalyst contains vanadium, as is commonly the case. A U.S.                                                     ciency); injecting the proper amount of chemicals (too much
              EPA study found that SCR was the most expensive means                                                           will cause some chemicals to slip through unreacted, and too
              to reduce NOx.12                                                                                                little will not get sufficient NOx reductions); and getting
                                                                                                                              proper mixing of the chemicals with the flue gas products
              6.2.4.4.2 Selective Noncatalytic Reduction (SNCR)                                                               (there must be both adequate mixing and residence time for
              Selective noncatalytic reduction (SNCR) involves injecting                                                      the reactions to go to completion). Both physical and com-
              NOx-reducing chemicals into the exhaust products from a                                                         puter modeling are often used to determine the optimal place,
              combustion process within a specific temperature window.39                                                      amount, and method of injection.
              No catalyst is involved in the process. The most commonly
              used chemicals are ammonia and urea. Other chemicals
                                                                                                                              6.2.5 Field Results
              (e.g., hydrogen, hydrogen peroxide, and methanol) can be
                                                                                                                              6.2.5.1 Conversions
              added to improve the performance and lower the minimum
                                                                                                                              It is important to be able to convert field measurements to
              threshold temperature. The Exxon thermal de-NOx process is
                                                                                                                              specific units to determine whether the emissions from a
              one common SNCR technique using ammonia, and is
                                                                                                                              specific burner or heater are below their allowable limits. In
              employed in a wide variety of industrial applications. A
                                                                                                                              nearly all cases, NOx is measured on a ppmvd basis. The
              typical global reaction for this technique can be written as:
                                                                                                                              following examples will show how to convert these units to a
                                                                                                                              specific basis.
                                                                           2 NO + 4 NH 3 + 2O 2 → 3N 2 + 6H 2 O
                                                                                                                              Example 6.4
              The optimum temperature window, without the addition of                                                         Given:    Fuel = methane with a gross or higher heating
              other chemicals to increase the temperature window, is 1600                                                               value of 1012 Btu/ft3; NO = 20 ppmvd; measured
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              to 2200°F (870 to 1200°C). The Nalco Fuel Tech NOxOUT®                                                                    O2 = 2% on a dry basis.
              is a common SNCR technique employing urea:                                                                      Find:     NOx as NO2 in lb/106 Btu (gross).
                                                                                                                              Solution: First calculate dry flue gas products.
                                                                    CO( NH 2 )2 + 2 NO + 1 2O 2 → 2 N 2 + CO 2 + 2 H 2 O                Global chemical reaction:
2x = 2 + 2 + 2y = 4 + 2y, or x = 2 + y 6000
                                                                                                           NO (ppmvd)
                                                                                                                        5500
                                        Solving 1 and 2 simultaneously:
                                                                                                                        5000
                                        CH4 + 2.188(O2 + 3.76N2) =                                                      4500
                                         CO2 + 2H2O + 0.188O2 + 8.23N2
                                                                                                                        4000
                                                                                                                               0   10        20        30         40        50       60   70   80   90 100
                                        This shows the moles of products for each mole
                                        of CH4. Note that NO in the flue products has                                                                     H 2 in CH 4 (vol. %)
                                        been ignored because it is only present in trace
                                                                                                         FIGURE 6.13 Adiabatic equilibrium NO as a function
                                        amounts. Assume that all NO is converted to NO2
                                                                                                         of the fuel blend composition for H2/CH4 blends combusted
                                        in the atmosphere.                                               with 15% excess air where both the fuel and the air are at
                                                                                                         ambient temperature and pressure.
                                        (988 ft3 CH4)(1012 Btu/ft3 CH4) =
                                            1 × 106 Btu (gross)
                                                                                                                        4400
                                                    3
                                        (988 ft CH4)(1 + 0.188 + 8.23) =                                                4350
                                                                                                                        4300
                                                                                                           NO (ppmvd)
                                                                   0                                                                                                 0
                                                               1                                                                                            1
                                                                         0.2                                                                                                     0.2
                                                  0.8                                                                                      0.8
Fra
                                                                                                                                                                                                     Fra
                                                                               0.4                                                                                                            0.4
                         2
                                                                                                                           2
                                        0.6
ctio
                                                                                                                                                                                                        ctio
                       nH
                                                                                                                         nH
                                                                                                                                  0.6
nT
                                                                                                                                                                                                            nT
                   ctio
                                                                                                                     ctio
                                                                                              NG
                                                                                                                                                                                                              NG
                Fra
                                                                                                                  Fra
                                                                                       0.6                                                                                                           0.6
                              0.4                                                                                         0.4
                                                                                             0.8                                                                                                           0.8
                    0.2                                                                                          0.2
                                                                                                   1                                                                                                                1
               0                                                                                           0
                   furnace (see Figure 6.18). The test furnace was a rectangular               The experimental matrix consisted of firing the burner at
                   heater with internal dimensions of 8 ft (2.4 m) wide, 12 ft              a constant heat release (7.5 × 106 Btu/hr or 2.2 MW) and
                   (3.7 m) long, and 15 ft (4.6 m) tall. The furnace was cooled             excess air level (15%) with 15 different fuel blends comprised
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   by a water jacket on all four walls. The interior of the water-          of varying amounts of H2, C3H8, and Tulsa Natural Gas
                   cooled walls was covered with varying layers of refractory               (TNG).* For testing and analysis purposes TNG was treated
                   lining to achieve the desired furnace temperature. The burner            as a single fuel component for convenience. TNG, which is
                   was tested at a nominal heat release rate of 7.5 × 106 Btu/hr            comprised of approximately 93% CH4, is a more economical
                   (2.2 MW).                                                                choice than pure CH4 for experimental work, and the analysis
                      A velocity thermocouple (also known as a suction thermo-              is simplified by treating it as a single component. All 15 fuel
                   couple or suction pyrometer — see Chapter 14) was used to                compositions were tested on each of six different fuel gas
                   measure the furnace and stack gas temperatures. The furnace              tips, which differed in port diameter sizes, to enable the
                   draft was measured with an automatic, temperature-compen-                acquisition of additional information regarding effects result-
                   sated, pressure transducer as well as an inclined manometer              ing from differing fuel pressures.
                   connected to a pressure tap in the furnace floor. Fuel flow                 Figure 6.19 shows the variation in relative measured NOx
                   rates were measured using calibrated orifice meters, fully               emissions resulting from different concentrations (volume
                   corrected for temperature and pressure. Emission levels were             basis) of H2 in a fuel blend composed with a balance of TNG
                   measured using state-of-the-art continuous emissions moni-
                   tors (CEMs) to measure emissions species concentrations of               *The nominal composition by volume of TNG is 93.4% CH4, 2.7% C2H6,
                   NOx, CO, and O2.                                                         0.60% C3H8, 0.20% C4H10, 0.70% CO2, and 2.4% N2.
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              FIGURE 6.19 Measured NOx (percent of the maximum ppmv value) as a function of the fuel blend composition for
              H2/TNG blends combusted with 15% excess air where both the fuel and the air were at ambient temperature and pressure.
              FIGURE 6.20 Measured NOx (percent of the maximum ppmv value) as a function of the fuel blend composition for
              C3H8/TNG blends combusted with 15% excess air where both the fuel and the air were at ambient temperature and pressure.
              for each of the six different fuel gas tips tested. The plot, which      effect of H2 is significant, with the sharpest increase in NOx
              illustrates NOx levels on a concentration basis, clearly shows           levels taking place as concentration levels of H2 in the fuel
              the correlation between increased H2 content and higher NOx              mixture rise from 75% to 100%.
              emission levels. The slope of the profile is exponentially                  The variation in relative measured NOx emissions result-
              increasing, qualitatively similar to that predicted by the plotted       ing from different concentrations (volume basis) of C3H8 in
              theoretical calculations shown previously in Figure 6.13. The            a fuel blend composed with a balance of TNG is shown in
                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 6.21 Measured NOx (percent of the maximum value in both ppmv and lb/MMBtu) as a function of the fuel
                   blend composition for H2/C3H8 blends combusted with 15% excess air where both the fuel and the air were at ambient temperature
                   and pressure.
                   Figure 6.20. The slope of the increase in NOx levels corre-               of NOx emissions produced. The lower plot, which shows
                   sponding to increased concentrations of C3H8 is shown to be               the variation in measured NOx levels on a mass per unit heat
                   relatively constant or slightly declining over the gradient in            release basis, illustrates that the overall emissions of NOx on
                   C3H8 concentration, in contrast with the exponentially                    a mass basis decrease with increasing fuel hydrogen content
                   increasing profile of the H2–TNG plot in Figure 6.19. The                 and continue to decrease or remain relatively flat, even in the
                   profile showing the effect of C3H8 content is also seen to be             high-hydrogen content region which produced a sharp
                   similar to the corresponding calculated trends shown previ-               increase in NOx levels on a volume concentration basis.
                   ously in Figure 6.14.
                      Figure 6.21 shows the final two-component fuel blend
                                                                                             6.2.5.3 Fuel Gas Tip Design
                   results being examined, which describe the variation in rela-
                   tive measured NOx emissions resulting from different con-                 Three-component interaction results were also examined by
                   centrations (volume basis) of H2 in a fuel blend composed                 considering results from several of the tested fuel gas tip
                   with a balance of C3H8. The upper plot, which shows mea-                  designs. Figures 6.22 through 6.24 show contoured ternary
                   sured relative NOx on a volume concentration basis, illus-                plots of variation in relative measured NOx levels corre-
                   trates that for a given tip geometry and port size, the measured          sponding to different fractions of H2, C3H8, and TNG in the
                   NOx concentrations actually decrease slightly with increasing             fuel blend. Plots for three tip designs are shown, the tips dif-
                   H2 content up to 75% H2 content, then sharply increase with               fering only in fuel port area size, which results in different
                   H2 concentration.                                                         fuel pressures for a given heat release on each tip. The results
                      Due to the decrease in total dry products of combustion                are shown for tips in order of increasing port area size, or in
                   from the burning of H2, expressing NOx in terms of concen-                other words, decreasing fuel pressure levels for the design
                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   tration (ppmv) does not fully represent the actual mass rate              heat release. Two plots are shown for each of three tips, with
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              FIGURE 6.22 Measured NOx (fraction of the maximum value in both ppmv and lb/MMBtu) as a function of the fuel
              blend composition for TNG/H2/C3H8 blends combusted with 15% excess air where both the fuel and the air were at ambient
              temperature and pressure, for gas tip #2.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 6.23 Measured NOx (fraction of the maximum value in both ppmv and lb/MMBtu) as a function of the fuel
              blend composition for TNG/H2/C3H8 blends combusted with 15% excess air where both the fuel and the air were at ambient
              temperature and pressure, for gas tip #4.
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                      FIGURE 6.24 Measured NOx (fraction of the maximum value in both ppmv and lb/MMBtu) as a function of the fuel
                      blend composition for TNG/H2/C3H8 blends combusted with 15% excess air where both the fuel and the air were at ambient
                      temperature and pressure, for gas tip #6.
                      one illustrating NOx levels on a volume concentration basis              composition effects on NOx emissions relatively indepen-
                      and the other illustrating NOx levels on a mass per unit heat            dently from fuel pressure variations. A qualitative compar-
                      release basis.                                                           ison of the plot on the left with the theoretical plots
                         For each given tip, the highest NOx emissions on a con-               previously shown in Figure 6.16 reveals that, on a volume
                      centration basis occur in the high-hydrogen content region,              concentration basis, the change in NOx level as a function
                      while the highest NOx emissions on a mass per unit heat                  of fuel composition, for a relatively constant pressure and
                      release basis occur in the high-propane region. The contoured            constant heat release, varies similarly to the trends predicted
                      gradients illustrate the interaction of the three fuel compo-            by the adiabatic flame temperature variation and predicted
                      nents and how each of the components affects NOx emission                relative NOx concentrations from the equilibrium combustion
                      in different regions of the fuel mixture, such as the steep NOx          model over the same regions. This result is expected due to
                      concentration gradients in the high-hydrogen content regions.            the well-established correlation of the dependence of thermal
                      The effect of C3H8 content can be seen to dominate the NOx               NOx formation on flame temperature. The mass basis plot
                      level gradients on a mass per unit heat release basis with a             on the right in Figure 6.25, shows that variation in NOx
                      relatively constant slope. It is also interesting to note that           levels with fuel composition, from a constant fuel pressure
                      NOx levels overall appear to increase as fuel gas tips change            perspective, are less severe than seen in the analysis of a
                      from having less open fuel port area (higher fuel pressures              single fuel gas tip with fixed port sizes, for which fuel
                      for a given heat release) to having greater open fuel port area          pressures may vary greatly to maintain a given heat release
                      (lower fuel pressure for a given heat release).                          with fuel composition variation.
                         Figure 6.25 shows ternary plots of fuel composition                     From both the two-component and three-component anal-
                      effects on NOx at a nominal constant fuel pressure of                    yses, it is evident that fuel pressure has a significant effect
                      21 psig (145 kPag). This analysis, made possible by testing              on NOx emission levels. Figure 6.26 shows a plot of relative
                      a range of fuel gas tips, enables the examination of fuel
      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                               NOx levels vs. fuel pressure for each of the 15 different fuels
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              FIGURE 6.25 Measured NOx (fraction of the maximum value in both ppmv and lb/MMBtu) as a function of the fuel
              blend composition for TNG/H2/C3H8 blends combusted with 15% excess air where both the fuel and the air were at ambient
              temperature and pressure, for a constant fuel gas pressure of 21 psig.
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 6.26 Measured NOx (fraction of the maximum value in ppmvd) as a function of the fuel pressure for all 15
              different TNG/H2/C3H8 blends (A through O) combusted with 15% excess air where both the fuel and the air were at ambient
              temperature and pressure.
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FIGURE 6.27 Measured NOx (fraction of the maximum value in both ppmv and lb/MMBtu) as a function of the fuel
                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   blend composition, fuel gas pressure, and calculated adiabatic flame temperature for TNG/H2/C3H8 blends combusted with 15%
                   excess air where both the fuel and the air were at ambient temperature and pressure.
                   tested. This plot shows a consistent decrease in NOx levels             highest NOx concentration levels are found in the region of
                   correlated with an increase in fuel pressure. This phenomena            high adiabatic flame temperatures and low fuel pressures,
                   is explained by the burner configuration which allows signif-           when high concentrations of hydrogen are present. The mass
                   icant amounts of inert flue gas to be entrained into the flame          per unit heat release NOx levels are also at a minimum in the
                   zone with increasing fuel jet momentum, thus decreasing                 same region as the concentration-based profiles, however the
                   thermal NOx formation.                                                  maximum NOx levels, when measured on a mass basis, are
                                                                                           not found in the same region, but occur in areas of lowest fuel
                   6.2.5.4 Summary                                                         pressures with a mildly elevated adiabatic flame temperature,
                   Figure 6.27 shows an overall view of the data collected from            which correspond to high C3H8 concentration regions. These
                   all six tips with each of the 15 different fuel compositions            overall trends concur with the previously discussed results
                   (90 data points in total) from both a NOx volume concentra-             and agree with the correlations shown by the three-component
                   tion basis and mass per unit heat release viewpoint. The plots          and two-component interaction analyses.
                   use fuel pressure and adiabatic flame temperatures as the pri-            Adiabatic flame temperature and fuel pressure are both
                   mary axes to usefully illustrate some overall trends. The plot          identified as significant fundamental parameters affecting
                   of relative NOx concentration levels shows the minimum                  NOx emission levels when considering the effect of fuel
                   NOx levels occur in the region with the lowest adiabatic                composition on NOx levels. For a conventional burner, with
                   flame temperature and highest fuel pressures. Inversely, the            NOx on a concentration basis, the adiabatic flame temperature
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                                                                                                Equivalence Ratio
                                                                             0.5   0.6     0.7         0.8           0.9             1.0             1.1
                                                                     10000                                                                                 10000
9000 9000
                                                                     6000                                                                                  6000
                                                        CO (ppmvw)
                                                                                                                                                                     CO (ppmvw)
                                                                     5000                                                                                  5000
4000 4000
3000 3000
                                                                         0                                                                                 0
                                                                             0.5   0.6     0.7         0.8           0.9             1.0             1.1
Equivalence Ratio
FIGURE 6.28 Adiabatic equilibrium CO as a function of equivalence ratio for air/fuel flames.
              is dominant, with fuel pressure remaining significant in affect-                               6.3.1 CO and Unburned Fuel
              ing NOx emission levels. The highest NOx levels on a volume                                    Carbon monoxide (CO) is generally produced in trace quan-
              concentration basis occurred at the highest hydrogen content                                   tities in many combustion processes as a product of incom-
              fuel compositions at lower fuel pressures. On a mass per heat                                  plete combustion (see Figure 6.14). CO is a flammable gas,
                                                                                                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              release basis, however, the highest relative NOx levels were                                   which is nonirritating, colorless, odorless, tasteless, and nor-
              achieved for fuel compositions containing large fractions of                                   mally noncorrosive. CO is highly toxic and acts as a chemi-
              C3H8. This appears to result from some combined character-                                     cal asphyxiant by combining with hemoglobin in the blood
              istics of a high-propane mixture including: very low fuel                                      that normally transports oxygen inside the body. The affinity
              pressure for a given heat release in comparison with the other                                 of carbon monoxide for hemoglobin is approximately 300
              fuels; somewhat higher adiabatic flame temperature than CH4;                                   times more than the affinity of oxygen for hemoglobin.30 CO
              and a substantially larger amount of total dry products of                                     preferentially combines with hemoglobin to the exclusion of
              combustion produced for a given heat release when compared                                     oxygen so that the body becomes starved for oxygen, which
              with H2. In summary, these results provide both quantitative                                   can eventually lead to asphyxiation. Therefore CO is a regu-
              and qualitative information to improve emission performance                                    lated pollutant with specific emissions guidelines depending
              prediction and design of burners with application to a wide                                    on the application and the geographical location.
              variation of fuel compositions.                                                                    CO is generally produced by the incomplete combustion of
                                                                                                             a carbon-containing fuel. Normally, a combustion system is
                                                                                                             operated slightly fuel lean (excess O2) to ensure complete com-
              6.3 COMBUSTIBLES
                                                                                                             bustion and to minimize CO emissions. Figure 6.28 shows the
              This section has been broken into two types of combustibles.                                   calculated CO as a function of the equivalence ratio (ratio of
              The first involves the incomplete combustion of the fuel,                                      1 is stoichiometric, >1 is fuel rich, and <1 is fuel lean). Because
              which usually produces carbon monoxide, and in some lim-                                       these are adiabatic calculations with very high flame tempera-
              ited cases, not all of the hydrocarbon fuel is consumed and                                    tures, the dissociation in the flame produces high quantities of
              passes through the combustor unreacted. The second type of                                     CO even under fuel lean conditions. This is graphically shown
              combustible is volatile organic compounds (VOCs), which                                        in Figure 6.29 where much more CO is produced at higher gas
              are generally only important in a limited number of pro-                                       temperatures while all other variables remain the same.
              cesses, typically those involving contaminated or otherwise                                        Figures 6.30 and 6.31 show the effects on CO production of
              hazardous waste streams.                                                                       air and fuel preheating, respectively. In both cases, the higher
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8000 8000
                                                                                5000                                                                                                                5000
                                                                  CO (ppmvw)
                                                                                                                                                                                                              CO (ppmvw)
                                                                                4000                                                                                                                4000
3000 3000
2000 2000
1000 1000
                                                                                       0                                                    0
                                                                                       1600 1800 2000 2200 2400 2600 2800 3000 3200 3400 3600
FIGURE 6.29 Adiabatic equilibrium CO as a function of gas temperature for stoichiometric air/fuel flames.
                                                                               30000                                                                                                                 30000
                                                            CO (ppmvw)
CO (ppmvw)
25000 25000
20000 20000
15000 15000
10000 10000
                                                                                5000                                                                                        5000
                                                                                            0         200          400           600     800    1000 1200 1400 1600 1800 2000
FIGURE 6.30 Adiabatic equilibrium CO as a function of air preheat temperature for stoichiometric air/fuel flames.
                   flame temperatures produced by preheating cause more CO                                                                             the concentration of carbon available to make CO, which both
                   formation as the preheat temperature increases. Figure 6.32                                                                         reduce CO generation.
                   shows the effect of fuel composition for H2/CH4 blends. As
                   expected, higher concentrations of H2 produce less CO, and
                   at pure H2, no CO is generated. Similarly, Figure 6.33 shows
                                                                                                                                                       6.3.2 Volatile Organic Compounds
                   the effect of fuel composition for CH4/N2 blends. Higher                                                                            Volatile organic compounds (VOCs) are generally low
                   concentrations of N2 reduce both the flame temperature and  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                       molecular weight aliphatic and aromatic hydrocarbons such
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                                                                                           CH4
                                                                     14000                                                                                            14000
                                                                                           C3H8
13000 13000
                                                                     12000                                                                                            12000
                                                        CO (ppmvw)
                                                                                                                                                                                 CO (ppmvw)
                                                                     11000                                                                                            11000
10000 10000
9000 9000
                                                                      8000                                                                                         8000
                                                                             0       100   200     300   400   500       600       700       800       900      1000
FIGURE 6.31 Adiabatic equilibrium CO as a function of fuel preheat temperature for a stoichiometric air/CH4 flame.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 6.32 Adiabatic equilibrium CO as a function of fuel composition (CH4/H2) for a stoichiometric air/fuel flame.
              as alcohols, ketones, esters, and aldehydes.31 Typical VOCs                                               combustion process, but they may be contained in the mate-
              include benzene, acetone, acetaldehyde, chloroform, toluene,                                              rial that is being heated, such as in the case of a contaminated
              methanol, and formaldehyde. These compounds are consid-                                                   hazardous waste in a waste incinerator. In that case, the
              ered regulated pollutants because they can cause photochemi-                                              objective of the heating process is usually to volatilize the
              cal smog and depletion of the ozone layer if they are released                                            VOCs out of the waste and combust them before they can be
              into the atmosphere. They are not normally produced in the                                                emitted to the atmosphere.
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9000 9000
8000 8000
7000 7000
6000 6000
                                                                                 5000                                                                                     5000
                                                                    CO (ppmvw)
                                                                                                                                                                                  CO (ppmvw)
                                                                                 4000                                                                                     4000
3000 3000
2000 2000
1000 1000
                                                                                   0                                                                                   0
                                                                                        0    10   20   30      40    50       60        70        80       90       100
                                                                                                            N2 in Fuel (vol. %)
                                                                                       100   90   80   70      60    50       40        30        20       10         0
                                                                                                            CH 4 in Fuel (vol. %)
FIGURE 6.33 Adiabatic equilibrium CO as a function of fuel composition (CH4/N2) for a stoichiometric air/fuel flame.
                                        There are two strategies for removing VOCs from the off-                                 1. dry fine particles being carried out of the process from
                                     gases of a combustion process.33 One is to separate and                                        the raw materials being processed
                                     recover them using techniques like carbon adsorption or                                     2. particles generated in the combustion process
                                     condensation. The other method involves oxidizing the                                       3. fuel carryover, where some of the solid fuel passes
                                     VOCs to CO2 and H2O. This process includes techniques                                          through the combustor essentially unreacted
                                     like thermal oxidation (see Chapter 21), catalytic oxidation,                               4. other particle carryover
                                     and bio-oxidation. One common way to ensure complete                                  The first and third mechanisms are not usually a major prob-
                                     destruction of VOCs in waste incinerators is to add an after-                         lem in most hydrocarbon and petrochemical applications.
                                     burner or secondary combustion chamber, which may or
                                     may not have a catalyst, after the main or primary combus-                            6.4.1.1 Particle Entrainment
                                     tion chamber.32                                                                       The gas flow through the combustor may entrain particles
                                                                                                                           from the raw materials used in the process. This is often
                                     6.4 PARTICULATES                                                                      referred to as carryover. An example of this would be in the
                                     There are two common sources of particulates that can be                              glass-making process where fine dust materials such as sand
                                     carried out of a combustion process with the exhaust gases.                           are used to make the glass and can be carried out of the glass
                                     One is entrainment and carryover of incoming raw materials,                           furnace if the gas velocity in the combustion space is high
                                     and the other is the production of particles as a result of the                       enough. This type of particulate is expensive because not
                                     combustion process. A particular health concern regarding                             only must the particles be captured by some type of flue-gas
                                     particulate emissions is the hazardous materials that can                             scrubbing equipment, but some of the raw materials needed
                                     condense on the particle surfaces and be carried into the                             for the process are also lost.
                                     atmosphere.33 For example, heavy metals vaporized during a
                                     high-temperature combustion process can condense on solid                             6.4.1.2 Combustion-Generated Particles
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                     particles and be carried out with the exhaust products.                               The second method by which particles can be emitted from
                                                                                                                           the combustion system is through the production of particles
                                     6.4.1 Sources                                                                         in the combustion process. For example, in the combustion of
                                     Principal sources of particulates in most industrial combus-                          solid fuels, (e.g., coal), ash is normally produced. The air-
                                     tion applications are:                                                                borne portion of the ash, usually referred to as fly-ash, can be
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              carried out of the combustor by the exhaust gases. Heavier oil        combustor and are emitted from the exhaust stack. Refractory
              flames also tend to generate particulates due to the high car-        particles also may be generated from refractory-lined com-
              bon contents and increased difficulty in fully oxidizing those        bustors. This refractory dust can also be emitted into the
              particles prior to exiting the exhaust stack.                         atmosphere.
                 Another source of combustion-generated particles is soot
              that may be produced in a flame. Under certain conditions,
              even gaseous fuels can produce soot. To a certain extent, soot        6.4.2 Treatment Techniques
              is desirable because it generally enhances the radiant heat           There are a variety of techniques used to control particulate
              transfer between the flame and the process. Fuels that have           emissions from combustion processes. The specific method
              a higher carbon-to-hydrogen mass ratio tend to produce more           chosen will depend on many factors, including economics,
              soot than fuels with a lower ratio. For example, propane              particle size distribution and composition, volumetric flow
              (C3H8), which has a C:H mass ratio of about 4.5, is more              rate, exhaust stream temperature, and particle moisture con-
              likely to produce soot than methane (CH4), which has a C:H            tent. The preferred method in most cases is to minimize par-
              mass ratio of about 3.0. For clean-burning fuels like natural         ticulate formation in the first place by modifying the process.
              gas, it is much more difficult to produce sooty flames com-           For example, substituting a gaseous fuel or lighter fuel oil for
              pared to other fuels (e.g., oil and coal) that have little or no
                                                                                    a heavy fuel oil can significantly reduce particulate emissions
              hydrogen and a high concentration of carbon. Flames contain-
                                                                                    resulting from the fuel. Another strategy is to capture the par-
              ing more soot are more luminous and tend to release their
                                                                                    ticles for recycling back into the process. One example is a
              heat more efficiently than flames containing less soot, which
                                                                                    fluidized bed reactor, in which the majority of the particles
              tend to be nonluminous. Soot particles generally consist of
                                                                                    are recirculated back into the process. Because of typically
              high-molecular-weight polycyclic hydrocarbons and are
                                                                                    higher costs, the last choice is usually to remove the particles
              sometimes referred to as “char.”
                                                                                    from the exhaust stream before they are emitted into the
                 Ideally, soot would be generated at the beginning of the
                                                                                    atmosphere. This can be done with electrostatic precipitators
              flame so that it could radiate heat to the load, and then it
                                                                                    (wet or dry), filters (baghouses), or venturi scrubbers.33
              would be destroyed before exiting the flame so that no par-
              ticles would be emitted. Soot can be produced by operating
              a combustion system in a very fuel-rich mode or by incom-
              plete combustion of the fuel due to poor mixing. If the soot
                                                                                    6.5 CARBON DIOXIDE
              particles are quenched or “frozen,” they are more difficult to        Carbon dioxide (CO2) is a colorless, odorless, inert gas that
              incinerate and more likely to be emitted with the exhaust             does not support life because it can displace oxygen and act as
              products. The quenching could be caused by contact with               an asphyxiant. CO2 is found naturally in the atmosphere at con-
              much colder gases or possibly by impingement on a cool                centrations averaging 0.03%, or 300 ppmv. Concentrations of
              surface (e.g., a boiler tube). Soot particles tend to be sticky       3 to 6% can cause headaches, dyspnea, and perspiration. Con-
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              and can cling to the exhaust ductwork, clogging the ductwork          centrations of 6 to 10% can cause headaches, tremors, visual
              and the pollution treatment equipment in the system. If the           disturbances, and unconsciousness. Concentrations above 10%
              soot is emitted into the atmosphere, it can contribute to smog        can cause unconsciousness, eventually leading to death.
              in addition to being dirty. The emitted soot particles become
              a pollutant because they produce a smoky exhaust that has                Carbon dioxide emissions are produced when a fuel contain-
              high opacity. Most industrial heating processes have a regu-          ing carbon is combusted near or above stoichiometric condi-
              lated limit for opacity.                                              tions. Some studies indicate that CO2 is a greenhouse gas that
                                                                                    may contribute to global warming. Many schemes have been
              6.4.1.3 Solid Fuel Carryover                                          suggested for “disposing” of CO2, including injection deep into
              This mechanism for generating particulates involves some of           the ocean and deep-well injection for oil recovery. In some
              the solid fuel passing through the combustor essentially unre-        European countries, CO2 emissions are considered a pollutant
              acted. This is not usually a concern in the hydrocarbon and           and as such are regulated. Any technique that improves the
              petrochemical industries where solid fuels are rarely used.           overall thermal efficiency of a process can significantly reduce
                                                                                    CO2 emissions because less fuel needs to be burned for a given
              6.4.1.4 Other Particle Carryover                                      unit of available heat output. Some predict that reductions in
              Particles are sometimes generated by scale formation in the           CO2 emissions will become increasingly important for the pet-
              piping. These scale particles (iron oxide) travel through the         rochemical industry.34
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                12. E.B. Sanderford, Alternative Control Techniques                                            29. J. Bluestein, NOx Controls for Gas-Fired Industrial
                    Document — NOx Emissions from Process Heaters,                                                 Boilers and Combustion Equipment: A Survey of
                    U.S. EPA Report EPA-453/R-93-015, February 1993.                                               Current Practices, Gas Research Institute (Chicago, IL)
                13. U.S. Environmental Protection Agency, Alternative                                              Report GRI-92/0374, 1992.
                    Control Techniques — NOx Emissions from Utility                                            30. K. Ahlberg, Ed., AGA Gas Handbook, AGA AB,
                    Boilers, U.S. EPA Report EPA-453/R-94-023, 1994.                                               Lidingö, Sweden, 1985.
                14. C.E. Baukal and P.B. Eleazer, Quantifying NOx for                                          31. S. Setia, VOC emissions — Hazards and techniques for
                    Industrial Combustion Processes, J. Air Waste Manage.                                          their control, Chemical Engineering World, XXXI(9),
                    Assoc., 48, 52-58, 1997.                                                                       43-47, 1996.
                15. S.B. Mandel, What is the total cost for emissions moni-                                    32. W.R. Niessen, Combustion and Incineration Processes,
                    toring?, Hydrocarbon Processing, 76(1), 99-102, 1997.                                          2nd ed., Marcel Dekker, New York, 1995.
                16. U.S. Government, Code of Federal Regulations 40,                                           33. I. Ray, Particulate emissions: evaluating removal
                    Part 60, Revised July 1, 1994.                                                                 methods, Chem. Eng., 104(6), 135-141, 1997.
                17. M.C. Drake, Kinetics of Nitric Oxide Formation in Lam-                                     34. M. Thorning, How climate change policy could shrink
                    inar and Turbulent Methane Combustion, Gas Research                                            the federal budget surplus and stifle US economic
                    Institute (Chicago, IL) Report No. GRI-85/0271, 1985.                                          growth, Oil Gas J., 97(50), 22-26, 1999.
                18. M.F. Zabielski, L.G. Dodge, M.B. Colket, and                                               35. E.D. Weil, Sulfur compounds, in Kirk-Othmer Encyclo-
                    D.J. Seery, The optical and probe measurement of NO: a                                         pedia of Chemical Technology, 3rd ed., Vol. 22, John
                    comparative study, Eighteenth Symp. (Int.) on Combus-                                          Wiley & Sons, New York, 1983.
                    tion, The Combustion Institute, Pittsburgh, 1981, 1591.                                    36. C.T. Bowman, Chemistry of gaseous pollutant forma-
                19. A. Berger and G. Rotzoll, Kinetics of NO reduction by                                          tion and destruction, in Fossil Fuel Combustion,
                    CO on quartz glass surfaces, Fuel, 74, 452, 1995.                                              W. Bartok and A. F. Sarofim, Eds., John Wiley & Sons,
                                                                                                                   New York, 1991.
                20. H.M. Gomaa, L.G. Hackemesser, and D.T. Cindric,
                    NOx/CO emissions and control in ethylene plants,                                           37. C.R. Bruner, Handbook of Incineration Systems,
                    Environmental Progress, 10(4), 267-272, 1991.                                                  McGraw-Hill, New York, 1991.
                21. C.E. Baukal and A.I. Dalton, Nitrogen oxide measure-                                       38. S.R. Turns, An Introduction to Combustion, McGraw-Hill,
                    ments in oxygen enriched air-natural gas combustion                                            New York, 1996.
                    systems, Proc. 2nd Fossil Fuel Combustion Symp.,                                           39. API Recommended Practice 536: Post-Combustion
                    ASME PD-Vol. 30, pp.75-79, New Orleans, LA, Janu-                                              NOx Control for Fired Equipment in General Refinery
                    ary 15, 1990.                                                                                  Services, 1 ed., American Petroleum Institute, Washing-
                22. C.E. Baukal, Ed., Oxygen-Enhanced Combustion, CRC                                              ton, D.C., March 1998.
                    Press, Boca Raton, FL, 1998.                                                               40. API Recommended Practice 560: Fired Heaters for
                23. R. Waibel, D. Nickeson, L. Radak, and W. Boyd, Fuel                                            General Refinery Services, 2nd ed., American Petro-
                    Staging for NOx Control, in Industrial Combustion                                              leum Institute, Washington, D.C., September 1995.
                    Technologies, M.A. Lukasiewicz, Ed., American Society                                      41. J. Colannino, Results of a statistical test program to assess
                    of Metals, Warren, PA, 1986, 345-350.                                                          flue-gas recirculation at the Southeast Resource Recovery
                                                                                                                   Facility (SERRF), Paper 92-22.01, presented at Air &
                24. A. Garg, Trimming NOx, Chem. Eng., 99(11), 122-124,
                                                                                                                   Waste Management Association, 85th Annual Meeting
                    1992.
                                                                                                                   and Exhibition, Kansas City, MO, June 21-26, 1992.
                25. H.L. Shelton, Find the right low-NOx solution, Environ-
                                                                                                               42. M. Takagi, T. Kawai, M. Soma, T. Onishi, and K. Tamaru,
                    mental Engineering World, Nov.–Dec., 24, 1996.
                                                                                                                   The Mechanism of the Reaction Between NOx and
                26. A. Garg, Specify better low-NOx burners for furnaces,                                          NH3 and V2O5 in the Presence of Oxygen, J. Catal.,
                    Chem. Eng. Prog., 90(1), 46-49, 1994.                                                          50(3), 441-446, 1977.
                27. J. Colannino, Low-cost techniques reduce boiler NOx,                                       43. R.R Hayes, C.E. Baukal, and D. Wright, Fuel composi-
                    Chem. Eng., 100(2), 100-106, 1993.                                                             tion effects on NOx, presented at the 2000 American
                28. J. Colannino, NOx reduction for stationary sources,                                            Flame Research Committee International Symposium,
                    AIPE Facilities, 23(1), 63-66, 1996.           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                   Newport Beach, CA, September 2000.
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--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                        Chapter 7
                                                                        Noise
                                                                                                                                                                  Wes Bussman and Jaiwant D. Jayakaran
TABLE OF CONTENTS
                                                                                                                                                            223
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              7.1 FUNDAMENTALS OF SOUND                                                    reasonable duration. In extreme cases, the effects of vibration
                                                                                           may be more rapidly manifested, such as in the case of crack-
              7.1.1 Introduction                                                           ing and falling of hard refractory linings in furnaces.
                                                                                              This chapter is written as a practical guide, as well as a
                      Silence is golden
                                                                                           reference on noise, for engineers involved in the design, oper-
                                                                          — Anonymous      ation, or maintenance of combustion equipment — be it burn-
                                                                                           ers, furnaces, flares (see Chapter 20), or thermal oxidizers
              Noise is a common by-product of our mechanized civiliza-                     (see Chapter 21). In addition, because this chapter provides
              tion and is an insidious danger in industrial environments.                  comprehensive coverage of the fundamentals of sound, the
              Noise pollution is usually a local problem and thus is not                   creative engineer will also be able to extend his or her knowl-
              viewed on the same scale of importance as the more notori-                   edge to analyze other noise-producing industrial equipment.
              ous industrial emissions like NOx, CO, and particulates.
              Nonetheless, it is an environmental pollutant that has signifi-
              cant impact.                                                                 7.1.2 Basics of Sound
                 Serious concern is merited when a pollutant can result in
              either environmental damage or human discomfort. Consid-                            If a tree falls in the forest and nobody is around to hear
              ering the impact on people, noise is most often a source of                         it, does it still make a sound?
              annoyance, but it can also have much more detrimental
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              effects, such as causing actual physical injury. Noise-related               Webster’s dictionary defines sound as “that which is heard.”
              injuries range from short-term discomfort to permanent hear-                 Obviously, an engineer will find this definition woefully inad-
              ing loss.                                                                    equate for his or her purposes. The authors resort to the defini-
                 The sense of hearing is a fragile and vital function of the               tion provided in many engineering handbooks: “Sound is the
              human body. It resembles vision, more than the other senses,                 vibration of particles in a gas liquid or solid.”1
              because permanent and complete damage can be sustained                          Sound is propagated through any medium in waves that
              quite commonly in an industrial environment. So it follows                   take the form of pressure peaks (compressions) and troughs
              that noise pollution has been recognized as a safety concern                 (rarefactions), as illustrated in Figure 7.1. The pressure wave
              for a long time and has been appropriately regulated.                        travels through a given medium at the speed of sound for that
                 Although personnel safety is the most important consider-                 medium. The auditory system in humans and most animals
              ation, noise pollution has several other significant side effects.           senses the impingement of these pressure waves on a tissue
              Combustion equipment designers are often asked why they                      membrane and converts them to electrical impulses that are
              would want to constrain the combustion process to reduce                     then sent to the brain and interpreted there.
              noise. Typically, these questions come from persons working
                                                                                               Figure 7.2 is a cross-section of the human ear. Sound is
              in plants situated in remote areas who often do not realize
                                                                                           collected and funneled into the ear canal by the outer ear. At
              that given the age and economic drivers of the petroleum
                                                                                           the end of the ear canal, the sound impinges on the eardrum.
              refining and chemical industries, it is now common to find
                                                                                           The bones of the middle ear convey the eardrum’s vibration
              plants located in densely populated areas. With industry that
                                                                                           to the inner ear. The inner ear, or cochlea, consists of a fluid-
              is situated close to residential areas or busy commercial facil-
                                                                                           filled membrane that has tiny hair cells on the inside. The
              ities, high levels of noise become objectionable to people in
                                                                                           hair cells sense the vibration conveyed to the cochlea and
              the neighborhood. These emissions eventually lead to gov-
                                                                                           convert this vibration into electrical signals, which are then
              ernment regulations to control noise. Within the industrial site
                                                                                           conveyed to the brain.
              itself, the immediate issue with noise is one of employee
              safety. Furthermore, it is not surprising to find that employee                 Any given sound can be uniquely identified by two of its
              morale and performance improves when noise is reduced,                       properties: pressure level and frequency. Most naturally occur-
              since its presence increases stress level.                                   ring sounds are composites of different pressure levels at var-
                 Equipment is also affected by noise. In most cases, these                 ious frequencies. A “pure tone” however, is a sound at only
              effects lie in the area of vibration control and are beyond the              one frequency. A tuning fork is a good example of a pure tone
              scope of this chapter. Suffice it to say, that noise is a form of            generator. Such naturally occurring pure tone generators are
              vibration and eventually contributes to fatigue, which reduces               rare. Even musical instruments create notes that have signifi-
              equipment life. The effects of fatigue are frequently accepted               cant pressure levels at two or three multiples, or harmonics,
              as normal wear and tear if the equipment life cycle spans a                  of the fundamental frequency of the note.
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Noise 225
Cochlea
                                                                   Ear Canal
                                                                                                                  Fluid filled
                                                                                                                  membrane
Hair cells
                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   7.1.2.1 Sound Pressure Level and Frequency                              hearing in humans in the later stages of life typically manifests
                   Pressure level defines the loudness of the sound, while fre-            itself as diminished sensitivity to frequencies from 10 to 20
                   quency defines the pitch or tone of the sound. Pressure level           kHz. Mechanically, this is due to the deterioration of the fine
                   is the amplitude of the compression, or rarefaction, of the             hair cells in the cochlea.
                   pressure wave. The common unit of pressure level is the deci-              It is important to note that the ear is not equally sensitive
                   bel, abbreviated dB. Frequency is the number of pressure                over the entire range from 20 Hz to 20 kHz. This is vital to
                   waves that pass by an arbitrary point of reference in a given           understanding how noise affects humans and how noise con-
                   unit of time. As such, the typical measure of sound frequency           trol is implemented. The human ear is much less sensitive to
                   is cycles per second (cps), and as with electricity, the com-           sound at the extremes of low and high frequencies, as is
                   monly used unit is the hertz (Hz); 1 Hz = 1 cps.                        discussed later in the chapter.
                      The typical range of human hearing extends from 20 Hz                  The wide range of frequencies in the human hearing range
                   to 20 kHz. Young children can hear frequencies slightly higher          can be conveniently handled by breaking it up into octave
                   than 20 kHz, but this ability diminishes with age. Loss of              bands. Each octave band represents a doubling in frequency.
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                                      TABLE 7.1 The Ten Octave Bands                                            the relationship between decibel and watts. The “bel,” of
                                                                                                                course, stands for Bell Labs.
                                               Full Octave Band Standards                                          In Figure 7.3, the y-axis represents power, in watts. The
                                      Octave Band, Hz              Center Frequency, Hz                         y-axis follows a base-10 scale. The x-axis gives dB values
                                           22–44                             31.5                               and the line provides the relationship; 120 dB is equal to 1 W.
                                           44–88                             63                                 As an illustration of the log10 relationship, note that 110 dB
                                           88–177                           125
                                                                                                                is equal to one tenth of a W (0.1 W), and 100 dB is equal to
                                          177–355                           250
                                          355–710                           500                                 a hundredth of a watt (0.01 W).
                                          710–1420                         1000
                                         1420–2840                         2000                                 7.1.2.3 Sound Power Level
                                         2840–5680                         4000
                                         5680–11,360                       8000
                                                                                                                There is a subtle but important difference between the terms
                                       11,360–22,720                     16,000                                 sound power level and sound pressure level. Sound power
                                                                                                                level is used to indicate the total energy-emitting ability of a
                        1x101                                                                                   sound source. In other words, sound power is an attribute of
                        1x100                                                                                   the source itself, while the sound pressure level (SPL) is used
                        1x10-1
                                                                                                                to indicate the intensity of sound received at any point of
                        1x10-2
                        1x10-3                                                                                  interest, from one or more sources. The illustration in Figure
             Power, W
                        1x10-4                                                                                  7.4 shows the formula to calculate the sound pressure level
                        1x10-5                                                                                  that is expected at a distance r from a spherically radiating
                        1x10-6
                                                                                                                source of power level Lw:
                        1x10-7
                        1x10-8
                                                                                                                                                                      1 
                        1x10-9                                                                                                                  L p = L w + 10 log10          + 10.5         (7.1)
                        1x10-10                                                                                                                                       4π r 2 
                        1x10-11
                        1x10-12                                                                                 where r is in feet.
                                  0   10 20 30 40 50 60 70 80 90 100 110 120 13
                                                                                                                   In practice, the sound intensity at the location of the listener
                                                                      dB
                                                                                                                is of interest, and this is easily achieved by making measure-
              FIGURE 7.3 Relationship of decibels to watts.                                                     ments at the point of interest. However, the sound pressure
                                                                                                                level can be analytically derived at different locations in com-
                                                                                                                plex industrial environments containing multiple sound
              Table 7.1 shows the ten octave bands that cover the human                                         sources if the power level of the sources is known. The equa-
              hearing range and the center frequencies that can be used to                                      tion can also be used to back-calculate the power level of a
              represent the octave band. Each octave band extends over                                          source from a measurement made at a known distance from
              seven fundamental musical notes.                                                                  the source.
                                                                                                                   The following are useful equations that can be used to
                                                                                                                calculate sound pressure and power levels, in dB, from the
              7.1.2.2 The Decibel
                                                                                                                equivalent pressure and power units:
              The unit of pressure level, the decibel, can be difficult to con-
              ceptualize and merits some explanation. While it is possible to                                                                                            (
                                                                                                                                                 L p (dB) = 20 log10 P 2 × 10 −5           )
              quantify the sound pressure level (SPL) in units of either
              power or pressure, neither unit is convenient to use because, in                                                                                           (
                                                                                                                                                L w (dB) = 10 log10 W 1 × 10 −12           )
              practice, one has to deal every day with sounds that extend
                                                                                                                where
              over a very large range of power and/or pressure levels. For
                                                                                                                                   Lp       =   Sound pressure level, in dB
              example, the sound power of a whisper is 10–8 watts (W),
                                                                                                                                   Lw       =   Sound power level, in dB
              while the sound power of a jet plane is 105 W. The range of                                                          P        =   Pressure, in N/m2
              these two sound sources thus spans 1013 W. The term decibel                                                          W        =   Sound power level, in W
              that characterizes a dimensionless unit, was created to repre-
              sent these large ranges conveniently. In the 1960s, Bell Labora-                                  7.1.2.4 Threshold of Hearing
              tories coined the term “decibel.” The “deci” stands for the base                                  Figure 7.5 reveals a map of the threshold of hearing in humans.
              ten log scale on which the decibel is based. See Figure 7.3 for                                   The y-axis represents SPL and the x-axis represents frequency.
                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Noise 227
130
                                                                                                                                                                              30
                                                                                    Noise source with a                                                                       10
                                                The sound                           given sound power level
                                                pressure level at                   (Lw) radiating outward.                                                                   -10
                                                this point can be
                                                calculated as                                                                                                                 -30
16000
                                                                                                                                                                                                                                                                                20000
                                                                                                                                                                                                                                           1000
2000
4000
                                                                                                                                                                                                                                                                8000
                                                                                                                                                                                         31.5
                                                                     1
125
250
                                                                                                                                                                                                                                500
                                                                                                                                                                                    16
                                                                                                                                                                                                  63
                                                L p = Lw + 10 log10        + 10.5
                                                                    4π r 2
                                                where r is in feet.                                                                                                                                                 Frequency, Hz
                   FIGURE 7.4                                           Sound pressure level at a distance r.                                    FIGURE 7.6 Threshold of hearing and threshold of pain
                                                                                                                                                 in humans.
                                                130
                     Sound Pressure Level, dB
110
90
                                                 70
                                                                                Human threshold of hearing
                                                 50
30
10
-10
                                                 -30
                                                                   63
500
                                                                                                     2000
                                                       16
1000
4000
8000
                                                                                                                                  20000
                                                                          125
250
                                                                                                                          16000
                                                            31.5
Frequency, Hz
FIGURE 7.5 Threshold of hearing in humans. FIGURE 7.7 A-weighted scale for human hearing threshold.
                   Any SPL at a frequency that falls below the curve will be                                                                     relatively flat. In general, a sound pressure level over 120 dB at
                   inaudible to humans. For example, a sound pressure level of 30                                                                any frequency will cause pain. An important observation that
                   dB at 63 Hz will be inaudible; whereas an SPL of 70 dB at the                                                                 can be derived from the two curves is that if a sound is audible
                   same 63 Hz will be audible. Humans are most sensitive to                                                                      at very low or very high frequencies, persons subject to this
                   sounds in the so-called “mid-frequencies” from 1 kHz to about                                                                 sound are very close to experiencing pain.
                   5 kHz. This is generally the region in which most of our every-
                   day hearing activities take place. Additionally, at a constant
                                                                                                                                                 7.1.2.6 Correction Scales
                   level, sound with a very low or very high frequency will not
                   have the same loudness sensation as that in the medium                                                                        Sound meters are capable of measuring with equal sensitivity
                   frequency range. For example, a 100-Hz tone at L = 50 dB                                                                      over the entire audible range. However, because humans do
                   gives the same loudness as a 1000-Hz tone at L = 40 dB.2                                                                      not hear with equal sensitivity at all frequencies, the sound
                                                                                                                                                 meter’s measurement needs to be modified to quantify what
                                                                                                                                                 really affects humans. This can be done using a correction
                   7.1.2.5 Threshold of Pain                                                                                                     curve. The most common correction is the A-Scale. This is
                   Figure 7.6 shows the threshold of pain superimposed on the                                                                    because, except for level, it resembles an idealized inverse
                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   threshold of hearing. Fortunately, the threshold of pain is                                                                   of the threshold of hearing curve (refer to Figure 7.7). An
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                                             85                                                                                             7.1.3 Measurements
                  Sound Pressure Level, dB
                                                                                                                                 16000
                                                                                                                                            above. The weighted signal then passes through a second
                                                                                               1000
2000
4000
                                                                                                                          8000
                                                   31.5
125
                                                                                     500
                                                          63
250
                                                                                                                                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                             -40                                      C                                                     ment per octave band and those that slice the octave band into
                                             -50                                      D                                                     several intervals and make a measurement at each interval.
                                                                                                                                            Typically, instruments are capable of:
                                             -60
              FIGURE 7.9 Weighting curves A, B, C, and D.                                                                                      Table 7.2 shows the usual octave and one-third octave bands.
                                                                                                                                            As the name suggests, a one-third octave band instrument
                                                                                                                                            makes three measurements in each octave as opposed to the
              A-weighted sound level correlates reasonably well with hear-                                                                  single measurement of an octave band instrument. A narrow
              ing-damage risk in industry and with subjective annoyance                                                                     band instrument, on the other hand, uses digital signal process-
              for a wide category of industrial and community noises. After                                                                 ing (DSP) to implement fast Fourier transform analysis (FFT),
              applying the A-scale correction, the unit of sound pressure                                                                   and in the current state-of-the-art, FFT analysis allows the
              level becomes dBA. Figure 7.8 shows a typical burner noise                                                                    octave band to be sliced into as many as 128 intervals.
              curve as measured by the noise meter (flat scale) and the                                                                        Figure 7.11 provides a comparison of the same sound
              result after applying the A-scale correction.                                                                                 spectrum as analyzed using three different frequency band
                                                                                                                                            intervals: octave band, one-third octave band, and narrow
                 The other, less used correction scales are named, as might                                                                 band. This comparison shows that the additional resolution
              be expected, B, C, and D. Referring to Figure 7.9, one can                                                                    provided by narrower band methods is of vital importance.
              see that the C-scale is essentially flat over the range of interest                                                           In this example, the level at 1 kHz, as recorded by the octave-
              and the B-scale lies somewhere between the A- and C-scales.                                                                   band instrument, is 90 dB; on the one-third octave instru-
              Given an understanding of the influence of low-frequency                                                                      ment, it is 85 dB; and on the narrow band instrument, it is
              sounds, one finds that the B- and C-scales do not apply ade-                                                                  70 dB. The lower resolution measurements produce higher
              quate correction in the lower frequencies. Finally, the D-scale                                                               values due to the spill-over influence of the nearby peak at
              is different from the others in that it has a pronounced cor-                                                                 1.8 kHz. In addition, in implementing noise control for this
              rection in the range of 2 to 5 kHz. The D-scale was devised                                                                   source, it is very valuable to know that it is the narrow peak at
              for the aircraft industry and is rarely used otherwise.                                                                       1.8 kHz that is driving the maximum noise. This knowledge
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Noise 229
                                                                                        Weighting Networks
                                                                                                A
                                                                     Microphone                                                        Rectifier                   Fast
                                                                                                B
                                                                                                                                                                               Meter
                                                                                                C
                                                                            Amplifier                        Amplifier                                           Slow
                                                                                                D
                                                                                               Flat
                                                                                                                          Output
                                                                                              Band
                                                                                              filters
                     helps to zero-in on the source, which, for example may be an                                   single number is to be used to represent the entire curve,
                     1800-rpm motor or pump.                                                                        then it should adequately represent the peaks in the curve,
                         However, as with all things, there is a cost associated with                               because the peaks have the most influence on the listener.
                     high performance. For most purposes, a one-third octave anal-                                  Consequently, it is not practical to use the average of the var-
                     ysis is usually quite adequate. The advantages of making                                       ious levels in the octave bands because this number would
                     broad band analyses using octave or one-third octave band                                      be less than the levels at the peaks. Therefore, one must not
                     filter sets are that less time is needed to obtain data and the                                confuse the average level with the overall sound level.
                     instrumentation required to measure the data is less expensive.                                   The overall sound level is calculated by adding the individ-
                         In making sound measurements, several factors regarding                                    ual levels in the various octave bands. In columns 1 and 2 of
                     the nature of the source should be considered. Whether the                                     Table 7.3, the burner sound curve has been split up into
                     source is a true point source in space, radiating spherically, a                               its component levels in each octave band. In column 3, the
                     hemispherical source close to one flat surface, or a quarter                                   A-weighted correction has similarly been split up and listed.
                     sphere between two flat surfaces, etc. will make a difference                                  Column 4 gives the A-corrected values for the sound curve by
                     in the accuracy of the measurement. However, a detailed dis-                                   simply subtracting column 3 from column 2. Now, the values
                     cussion of measurement issues is beyond the scope of this book,                                in column 4 must be added to obtain the overall sound level.
                     and the reader is encouraged to use some of the more compre-                                      Because the decibel is based on a log10 scale, simple addi-
                     hensive works in the list of references at the end of this chapter.                            tion cannot be used. For example, if two values of equal
                                                                                                                    magnitude are added, say 100 dB and 100 dB, the result is
                     7.1.3.1 Overall Sound Level and How to                                                         103 dB. The formula to be used is:
                             Add dB Values
                     As mentioned, most sounds are composites of several differ-
                                                                                                                                                                       (                    )
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                         The advantages of making broad band analyses of sound using octave or one-third octave band
                                                                                         filter sets are that less time is needed to obtain data and the instrumentation required to measure
                                                                                         the data is less expensive. The main disadvantage is the loss of detailed information about the
                                                                                         sound which is available from narrow band (FFT) analyzers.
Noise 231
1000 ft (300 m) away from a noise source and that the atmo- 70
125
250
1000
                                                                                                                                                                                             8000
                                                                                                                                                               500
4000
                                                                                                                                                                                                     16000
                                                                                                                                 31.5
2000
                   7.2 INDUSTRIAL NOISE POLLUTION                                                  For example, it is not unusual for a person to encounter sound
                   Thus far, sound has been discussed. So what is noise? An all-                pressure levels of 100 to 110 dB at a sporting event, in a stadium
                   encompassing definition would be that noise is any undesir-                  full of cheering fans, and yet not be perturbed by it. On the
                   able sound. By saying this, the concept is introduced that                   contrary, the barely 45-dB sound of a dripping faucet may cause
                   what is considered to be noise is somewhat relative and                      considerable annoyance in the quiet of the night. Table 7.4 gives
                   depends on several temporal and circumstantial factors.                      some typical noise levels for various scenarios.
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                                                                          31.5      72        –39           33
                                                                          63        75        –26           49      
                                                                                                                    → 49
                                                                                                                        ↓
                                                                         125        79        –16           63       → 63
                                                                                                                           ↓
                                                                         250        79         –9           70       → 71
                                                                                                                             ↓
                                                                         500        72         –3           69       → 73
                                                                                                                               ↓
                                                                        1000        69         –0           69         → 75
                                                                                                                                   ↓
                                                                        2000        68         –1           69         → 76
                                                                                                                                     ↓
                                                                        4000        78         –1           79       → 80
                                                                                                                                       ↓
                                                                        8000        83         –1           82       → 84
                                                                                                                                         ↓
                                                                      16,000        80         –7           73            → 85
                 Industrial noise pollution is a major concern for society as                                          from potentially hazardous noise. Table 7.5 shows OSHA
              a whole. In a recent survey, the effects of exposure to noise in                                         permissible noise exposure levels.
              refinery workers was studied extensively. A cross-section of                                                OSHA requires that the employer must provide protection
              workers in different divisions/units was chosen. It was found                                            against the effects of noise exposure when the sound levels
              that noise levels averaged 87 to 88 dBA in aromatic and paraffin                                         exceed those shown in Table 7.6. When the daily noise expo-
              facilities and 89 dBA in alkylation facilities. In comparison,                                           sure consists of two or more periods of noise exposure at
              workers in warehouses, health clinics, laboratories, and offices                                         different levels, their combined effect should be considered
              were not found to be exposed to the same levels.                                                         rather than the individual effects of each. According to OSHA,
                 Noise can damage hearing and cause physical or mental                                                 the exposure factor (EF) is defined as:3
              stress (increased pulse rate, blood pressure, nervousness, sleep
              disorders, lack of concentration, and irritability). Irreparable
                                                                                                                                     EF = C1 T1 + C 2 T2 + C 3 T3 + K + C n Tn                     (7.5)
              damage can be caused by single transient sound events with
              peak levels exceeding 140 dBA (e.g., shots or explosions).
              Long-duration exposure to noise exceeding 85 dBA can lead                                                where Cn is the total time of exposure at a specific noise level
              to short-term reversible hearing impairment, and long-term                                               and Tn is the total time of exposure permitted at that level
              exposure to levels higher than 85 dBA can cause permanent                                                (shown in Table 7.5). If the exposure factor exceeds 1.0, the
              hearing loss.                                                                                            employee’s exposure is above OSHA limits. If OSHA identi-
                 The following is a mathematical model based on empirical                                              fies such a situation, a citation may be issued and a grace
              data (ISO 1999) used to calculate the maximum permissible                                                period defined in which the employer must correct the viola-
              continuous noise level at the workplace that will not lead to                                            tion or face penalties as high as $10,000 per day.
              permanent hearing loss:
                                                                                                                       7.2.2 International Requirements
                                         L A,m < 85 + 10 log10 (24 Tn ), dBA                            (7.4)
                                                                                                                       Regulations aimed at protecting individuals from industrial
              where Tn is the daily noise exposure time in hours.                                                      noise pollution have been enforced in almost all industrial-
                Wearing ear protection devices at continuous noise levels                                              ized countries. The noise caused in industry and the work-
              greater than 85 dBA can prevent or reduce the danger of                                                  place is generally treated as a serious issue.
              permanent hearing damage.                                                                                  Most countries have adopted 85 dBA as the limit for per-
                                                                                                                       missible noise. At any work place with sound levels exceeding
              7.2.1 OSHA Requirements                                                                                  85 dBA, ear protection devices must be worn, and workers
              Title 29 CFR, section 1910.95 of the Occupational Safety and                                             exposed to this level should have their hearing level checked
              Health Act (OSHA) pertains to the protection of workers
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                       periodically.
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Noise 233
                                                                                                                                                                                                                            Temperature ºC
                                                                                                                                                                                                 -10                   0          10             20             30          40
                                                                                                                                                                                                                                                                                         40
                                                                                                                                                                                                                                                                                                 dB/1,000 m
                                                                                                                                                                                  10
                                                                                                                                                                                      0                                                                                                   0
                                                                                                                                                                                                                                        Relative                                         40
                                                                                                                                                                                                                                                                                                 dB/1,000 m
                                                                                                                                                                                  10                                                   Humidity, %
                                                                                                                                                                                           710/1,400 Hz, 5th octave band, GM F 1,000 Hz 10
                                                                                                                                                                                                                                         20                                              20
                                                                                                                                                                                                                                         30
                                                                                                                                                                                      0                                                  50                                                  0
                                                                                                                                                                                                                                         70
                                                                                                                                                                                  20                                                     90                                              60
                                                                                                                                                                                           1,400/2,800 Hz, 6th octave band, GMF 2,000 Hz
                                                                                                                                                                                                                                                                                                 dB/1,000 m
                                                                                                                                                                                                                                                                                         40
                                                                                                                                                                                  10
                                                                                                                                                                                                                                                                                         20
                                                                                                                                                                                      0                                                                                                      0
                                                                                                                                                                                           0     10       20       30 40          50        60       70    80       90 100
                                                                                                                                                                                                                            Temperature, ºF
                                                                                                                                                                                                                            Temperature ºC
                                                                                                                                                                                          -10                  0                      10                  20              30             40
                                                                   Atmospheric attenuation, dB/1,000 ft
                                                                                                                                                                   2,800/5,600 Hz
                                                                                                          30                                                       7th octave band                                                                                                                                   100
                                                                                                                                                                   GMF 4,000 Hz
                                                                                                                                                                                                                                                                                         Relative
                                                                                                                                                                                                                                                                                        Humidity, %                  80
                                                                                                                                                                                                                                                                                          10
                                                                                                                                                                                                                                                                                                                           dB/1,000 m
                                                                                                          20                                                                                                                                                                              20
                                                                                                                                                                                                                                                                                          30
                                                                                                                                                                                                                                                                                          50
                                                                                                                                                                                                                                                                                                                     60
                                                                                                                                                                                                                                                                                          70
                                                                                                                                                                                                                                                                                          90
                                                                                                                                                                                                                                                                                                                     40
                                                                                                          10
20
                                                                                                           0                                                                                                                                                                                                         0
                                                                                                                                        0                                             10        20         30              40     50            60        70         80        90      100
                                                                                                                                                                                                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                                                                            Temperature, ºF
Temperature ºC
-10 0 10 20 30 40
                                                                                                                                                                       50                  5,600/11,200 Hz
                                                                                                               Atmospheric attenuation, dB/1,000 ft
                                                                                                                                                                                                                                                                                         160
                                                                                                                                                                                           8th octave band
                                                                                                                                                                                           GMF 8,000 Hz
                                                                                                                                                                                                                                                                                         140
                                                                                                                                                                       40                                                                                                  Relative
                                                                                                                                                                                                                                                                           Humidity,
                                                                                                                                                                                                                                                                              %          120
                                                                                                                                                                                                                                                                                                        dB/1,000 m
                                                                                                                                                                                                                                                                            10
                                                                                                                                                                                                                                                                            20
                                                                                                                                                                         30                                                                                                              100
                                                                                                                                                                                                                                                                            30
                                                                                                                                                                                                                                                                            50
                                                                                                                                                                                                                                                                            60
                                                                                                                                                                                                                                                                                         80
                                                                                                                                                                                                                                                                            70
                                                                                                                                                                                                                                                                            90
                                                                                                                                                                         20
                                                                                                                                                                                                                                                                                         60
                                                                                                                                                                                                                                                                                         40
                                                                                                                                                                         10
                                                                                                                                                                                                                                                                                         20
                                                                                                                                                                                  0                                                                                                      0
                                                                                                                                                                                      0    10        20    30          40        50        60    70       80     90       100
                                                                                                                                                                                                                       Temperature, ºF
                   FIGURE 7.13 Same sound spectrum on three different intervals. (From Beranek.9).
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Noise 235
                                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                      High levels of turbulence in a flare flame are usually desir-
                   able because they help reduce radiation and increase the
                                                                                             TABLE 7.6 Overall Sound Pressure Level from Combustion
                   smokeless capacity of the flare. Unfortunately, such high
                                                                                             Frequency                                                      Resultant Noise Spectrum
                   turbulence levels also increase the combustion roar. Unlike                  (Hz)                                                                  (dB)a
                   the solution for flare radiation reduction, it is not practical
                                                                                                   31.5                                                              OASPL   -   5
                   to increase the height of a flare stack or boom to reduce                       63                                                                OASPL   -   4
                   combustion noise. This is because combustion roar is low-                      125                                                                OASPL   -   9
                   frequency sound and thus can travel a great distance without                   250                                                                OASPL   -   15
                                                                                                  500                                                                OASPL   -   20
                   being substantially attenuated by the atmosphere. The signa-                  1000                                                                OASPL   -   21
                   ture of low-frequency combustion roar noise typically con-                    2000                                                                OASPL   -   24
                   sists of a broadband spectrum with a single peak.                             4000                                                                OASPL   -   28
                                                                                                 8000                                                                OASPL   -   34
                      The combustion roar emitted from a stable burning flare
                                                                                             a   OASPL = Overall sound pressure level.
                   typically peaks at a frequency of about 63 Hz. The combustion
                   noise spectrum can be estimated by adjusting the sound pres-
                   sure level emitted from combustion using the values in
                   Table 7.6.4 It is noted that, at frequencies above about 500 Hz,
                   the noise contribution from flare combustion is relatively
                   insignificant. A typical method for estimating the sound pres-
                   sure level (SPL) emitted from a flare flame is to relate the
                   energy released from the combustion of the waste gas stream
                   (chemical energy) to the noise energy liberated by the com-
                   bustion. The ratio of noise energy to chemical energy released
                   from the combustion is called the thermoacoustic efficiency
                   (TAE). For a stable-burning flare, the TAE typically varies
                   between 1 × 10–9 to 3 × 10–6. The value of the TAE largely
                   depends on the turbulent mixing of the waste gas with ambient
                   air and is usually determined experimentally.
                      In designing flares, the combustion noise emitted from
                   flares operating under various conditions is usually measured             FIGURE 7.15 Engineer measuring flare noise level.
                   to determine the TAE. This information can then be used in
                   computer programs to model the level of combustion roar
                   emitted from a flare. Figure 7.15 is a photograph of a John               order of 1 × 10–6. However, a flame with low levels of turbu-
                   Zink engineer collecting noise levels from a flare using a real-          lence, such as the butane cigarette lighter shown in Figure 7.16,
                   time noise level meter.                                                   may have a TAE on the order of 1 × 10–9. For every order of
                      A flare flame that is highly turbulent, such as the high-              magnitude that the TAE changes, the sound pressure level will
                   pressure flare shown in Figure 7.15, can have a TAE on the                change by 10 dB.
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                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                 combustion noise frequency shifts substantially to a lower
                                     W (watts) = 1 × 10 −12                                      region and the level dramatically increases when the flare is
                                                                                                 over-steamed.
                                                                  (      )
                                                  L + 10 log10 4 π r 2 − 10.5  
                                     anti log10  p                                (7.6)
                                                                                                 7.3.1.3 Burner Combustion Noise
                                                            10                
                                                                                                Like flares, burner combustion noise is an unwanted sound
                                                                                                 associated with combustion roar and combustion instability.
                                   where Lp is the sound pressure level in dB (100 dB
                                                                                                 In many situations, the combustion noise can be the domi-
                                   for this example), and r is the distance from the
                                                                                                 nant source of noise emitted from a burner. Combustion roar
                                   flame in feet (400 feet or 120 m for this example).
                                                                                                 and combustion instability are quite complex by nature. The
                                   Substituting these values into Eq. (7.6) gives
                                                                                                 literature contains a variety of combustion noise and com-
                                   W = 1792 watts. The TAE is then calculated to be:
                                                                                                 bustion instability prediction techniques for burners operat-
                                                                                                 ing in a furnace. Most of these prediction techniques are
                                                   Acoustical power
                                     TAE =                                                       based on experimental studies that attempt to correlate the
                                                    Thermal power
                                                                                                 acoustic power radiated by the burner/furnace geometry,
                                                    1792 watts                                   laminar burning velocity of the air/fuel mixture, and various
                                              =                     = 1.2 × 10 −6     (7.7)
                                                  1465 × 10 6 watts                              turbulence parameters such as the turbulent length scale and
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Noise 237
intensity. This section does not attempt to discuss these pre- 110
                   diction techniques in detail, but gives a broad and general                                                                         Over-Steamed Flare
                                                                                                                          105
                   discussion of combustion roar and combustion instability
                                                                                                                          100
                   noise using some of the results from these studies.
                                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   of the burner muffler, plenum, and tile; the acoustic properties                                        80
                                                                                                                                         Normal operation
                   of the furnace lining; the transmission of the noise into the                                           75
                   fuel supply piping; and the transmissive and reflective char-                                           70
                                                                                                                                 31.5
63
125
250
500
1000
2000
4000
8000
                                                                                                                                                                                                 16000
                   acteristics of the furnace walls and stack.
                                                                                                                                                      Frequency, Hz
                   7.3.1.4 Burner Combustion Instability Noise
                   Combustion instability within a furnace is characterized by a             FIGURE 7.18 Sound pressure level burner with instability.
                   high-amplitude, low-frequency noise resembling the puffing
                   sound of a steam locomotive. This type of noise can create
                   significant pressure fluctuations within a furnace that can               instability. Some of these techniques include modifying the
                   cause damage to the structure and radiate high levels of noise            (1) furnace stack height, (2) internal volume of the furnace,
                   to the surroundings.                                                      (3) acoustical properties of the furnace lining, (4) pressure
                      Figure 7.18 is a plot showing the SPL for a gas burner                 drop through the burner by varying the damper position,
                   operating under normal conditions and with instability. It is             (5) fuel port diameter, (6) location of the pilot, and (7) flame
                   obvious that the sound pressure level increases substantially             stabilization techniques.
                   when the operation is accompanied by instability. Combustion
                   instability noise has a high efficiency of conversion of chem-
                   ical energy to noise. Typically, the TAE from burner combus-
                                                                                             7.3.2 Fan Noise
                   tion instability is in the range of 1 × 10–4.6                            The noise emitted from industrial fans typically consists of
                      The oscillations caused by combustion instability are nat-             two noise components: broadband and discrete tones. Vortex
                   urally damped by pressure drop losses through the burner and              shedding of the moving blades and the interaction of the
                   furnace, and therefore cannot be sustained unless energy is               turbulence with the solid construction parts of the fan create
                   provided. These steady oscillations are sustained by energy               the broadband noise. This broadband noise is of the dipole
                   extracted from the rapid expansion of the air/fuel mixture                type, meaning that the noise is directional. On the other hand,
                   upon reaction. Over the years, furnace operators have used                the discrete tones are created by the periodic interactions of the
                   several techniques in an attempt to eliminate combustion                  rotating blades and nearby upstream and downstream surfaces.
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Noise 239
                   Typically, when valves are partially closed, creating a reduc-              cuss the most common and effective noise abatement tech-
                   tion in flow area, the small flow passage behaves much like an              niques utilized in the flare and burner industry.
                   orifice and produces jet noise. As discussed above, turbulence
                   and shock waves create mixing noise and shock-associated
                   noise. This noise can radiate downstream through the pipe and               7.4.1 Flare Noise Abatement Techniques
                   exhaust into the environment at an outlet and/or radiate                    As previously discussed, the two principal sources of noise
                   through the pipe wall into the space near the valve itself, as              emitted from industrial flares are combustion roar and gas jet
                   illustrated in Figure 7.23.                                                 noise. Inhibiting the rate at which the air and fuel streams mix
                      Usually, butterfly valves and ball valves are noisier than               can reduce the level of combustion roar; however, this noise
                   globe valves. Butterfly valves and ball valves typically have               abatement technique generally tends to reduce the smokeless
                   a smaller vena contracta than a globe valve operating at the                performance and increase thermal radiation and flame length.
                   same pressure drop, which results in higher levels of mixing                Reducing the mixing rate of the air and fuel stream in order to
                   and shock-associated noise. As a general guideline, when the                lower combustion roar levels usually does not justify the
                   pressure ratio across a valve is less than approximately 3, the             accompanying sacrifices in the performance of a flare.
                   mixing noise and shock-associated noise are within about the
                                                                                                  In such cases, enclosed flares may provide one solution.
                   same order of magnitude. However, for pressure ratios greater
                                                                                               Enclosed flares are designed to completely hide a flare flame
                   than 3, shock noise usually dominates mixing noise.9 There
                                                                                               in order to reduce noise and thermal radiation levels. The
                   are several methods used for reducing the noise emitted from
                                                                                               design of these flare systems typically consists of an insulated
                   a valve. These include sound-absorptive wrapping of the pipes
                                                                                               enclosure with a wind fence around the perimeter, as shown
                   and the valve casings and the installation of silencers between
                                                                                               in the photograph in Figure 7.24. These types of flares can
                   the valve and connected pipes.
                                                                                               substantially reduce noise emissions as compared to open,
                                                                                               elevated flares.
                   7.4 NOISE ABATEMENT TECHNIQUES                                                 There are several abatement techniques commonly used to
                   There are three places noise can be reduced: at the source, in              reduce the gas jet noise emitted from flares. Such techniques
                   the path between the source and personnel, and on the per-                  include mufflers, water injection, and modifications to the
                   sonnel.10 The ideal place to stop noise is at the source. There             nozzle geometry. Mufflers are most commonly used on steam-
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                                                                          Pressure
                                                                        Relief or Steam
                                                                           Valve
              assisted flares to abate the high-pressure steam jet noise, as                  shock-associated noise. A number of flare muffler styles have
              shown in Figure 7.25.                                                           been used in the industry with varying degrees of noise abate-
                In most flare systems, steam is supplied to nozzles at a                      ment performance. Many of these mufflers are designed with
              pressure of 100 to 150 psig (7 to 10 barg). These high-                         a fiber material several inches thick placed on the inside. Muf-
              pressure steam jets produce high-frequency mixing and                           flers usually do a good job of absorbing the high-frequency
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                   Noise                                                                                                                                              241
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                            100
                                                Sound-Pressure-Level (dB)
                                                                             95
90
85
                                                                             80
                                                                                              Without Muffler
                                                                             75
                                                                                              With Muffler
                                                                             70
                                                                               100                                           1000                                 10000                                    100000
                                                                                                                                         Frequency (Hertz)
FIGURE 7.26 Steam jet noise emitted with and without a muffler.
110
105
                                                                            100
                                                Noise Level (dB)
95
90
85
                                                                             80
                                                                                             No Water Injection,                             116 dB, 114 dBA
                                                                             75
                                                                                             Optium Water Injection, 113 dB, 101 dBA
                                                                             70
                                                                                  10                             100                            1000                          10000                          100000
Frequency (Hz)
FIGURE 7.27 Noise spectrum from a high pressure flare with and without water injection.
              same pressure, which explains why gas jet noise reduction                                                                            than a single larger nozzle operating at the same pressure and
              using water injection is more pronounced when flaring high-                                                                          mass flow rate, the primary reason being that the group of
              molecular-weight gases.                                                                                                              smaller nozzles will peak at a higher frequency, where the
                 It is very common in the flare industry to design a flare using                                                                   human ear is less sensitive. Designing a flare with many small-
              several small-diameter nozzles to reduce the A-weighted gas                                                                          diameter nozzles is not always practical or economical to build.
              jet noise level. Gas jet noise emitted from high-pressure flares                                                                     Some large-capacity flare designs require several thousand noz-
              usually peaks at a frequency between approximately 2000 and                                                                          zles to substantially reduce the gas jet noise.
              16,000 Hz. The peak frequency is a function of several vari-
              ables, but is most affected by the diameter of the nozzle. For
              example, a 4-in. gas jet nozzle will peak at a frequency between
                                                                                                                                                   7.4.2 Burner Noise Abatement Techniques
              2000 and 4000 Hz, whereas a 1-in. gas jet nozzle will peak                                                                           Burners used in industrial heaters and furnaces emit a broad-
              between 8000 and 16,000 Hz. To the human ear, a group of                                                                             band spectrum of noise. The broadband noise spectrum
              several smaller-diameter gas jet nozzles will appear quieter             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                   consists of (1) combustion roar, which resides in the
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Noise 243
85
125
500
1000
2000
8000
                                                                                                                                                                                                                               16000
                                                                                                                                     31.5
250
                                                                                                                                                                                                       4000
                                                                                                                                                                 Frequency, Hz
FIGURE 7.28 Sound pressure vs. frequency with and without a muffler.
                   frequency range of approximately 100 to 1000 Hz, and (2)                                                                                               The product of these two factors can cause larger-diameter
                   gas jet noise, which typically ranges between 4000 and                                                                                                 jacketed pipes to radiate more noise than bare pipes.12
                   16,000 Hz. The mid-to-high-frequency noise is the most                                                                                                    Piping requiring acoustical treatment in a typical petro-
                   annoying and damaging to the ear. Several techniques have                                                                                              chemical plant is often in cold service. These lagging systems
                   been used to suppress the noise emitted within the mid-to-                                                                                             have to be both thermal and acoustical insulators. For that
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   high frequencies. Four common techniques used to reduce                                                                                                reason, fibrous insulation followed by an outer leaded alumi-
                   noise in industrial burners are:                                                                                                                       num jacket is commonly used. Sometimes, very noisy pipes
                                                                                                                                                                          need a layer of impregnated vinyl sandwiched between layers
                                                                       1.   sound insulation in the burner plenum
                                                                                                                                                                          of fibrous insulation, called a septum system.12
                                                                       2.   mufflers at air inlets of natural-draft burners
                                                                       3.   acoustically optimized furnace wall construction                                              7.4.4 Fan Noise Abatement Techniques
                                                                       4.   acoustical treatment of the air ducts in forced-draft burners                                 Fan noise can usually be addressed similar to valve and pip-
                                                                                                                                                                          ing noise:
                      Figure 7.28 shows a plot of the sound pressure level vs.
                   frequency for a burner operating with and without a muffler.                                                                                                 1. Silencers can be installed at the suction and pressure sides
                   Clearly, without the muffler, the noise level is higher —                                                                                                       of the fan, particularly for fans communicating with the
                   especially in the higher frequency region.                                                                                                                      atmosphere on either the suction or the pressure side, and
                                                                                                                                                                                   thereby cut down on noise coming out of these portals.
                   7.4.3 Valve and Piping Noise Abatement                                                                                                                       2. Acoustically enclose the fan casing to address noise radi-
                                                                                                                                                                                   ated from or transmitted through the casing surface.
                         Techniques                                                                                                                                             3. Acoustically isolate the ductwork leading to and from a
                   Valve and piping noise abatements include sound-absorptive                                                                                                      fan.
                   wrapping of the pipes and valve casings, and installation of                                                                                           At the design stage, one can consider the use of low-noise
                   silencers between the valves and the connecting pipes. Acous-                                                                                          motors (85 dBA or less) and the use of impellers with more
                   tical pipe lagging is similar to thermal pipe insulation. Acous-                                                                                       blades and reduced tip speed, etc.
                   tical pipe lagging also provides excellent thermal insulation,
                   but many thermal insulations provide poor noise control.
                   Rigid insulations for cold service (such as foam glass installed                                                                                       7.5 ANALYSIS OF COMBUSTION
                   on smaller-diameter pipes) can actually aggravate the noise                                                                                                EQUIPMENT NOISE
                   situation by easily conducting the noise to the outer surface.
                   Although acoustical energy radiated per unit area of insulated                                                                                         7.5.1 Multiple Burner Interaction
                   and jacketed pipe is less than for the same noninsulated pipe,                                                                                         A burner manufacturer will typically guarantee a burner
                   the surface area of an insulated and jacketed pipe is greater.                                                                                         noise level at a location 3 ft (1 m) directly in front of the
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              muffler. When several burners are installed in a furnace, how-                                                                  be calculated at location 2 when burner A is
              ever, the noise level 3 ft (1 m) from the burner may be higher                                                                  operating alone by solving Eq. (7.9) for Lp:
              than for a single burner, due to the noise contribution from
              surrounding burners. The purpose of this section is to give an                                                                                          1 
              example that illustrates the noise level increase due to noise                                                                     L p = Lw + 10 log10          + 10.5                                            (7.9)
                                                                                                                                                                      4π r 2 
              emitted from surrounding burners.
                                                                                                                                              For this case LwA = 95.03 and r = (52 + 32)0.5 =
              Example 7.2
                                                                                                                                              5.83 ft. Substituting these values into Eq. (7.10)
              Given:    Assume a furnace with a simple burner configu-
                                                                                                                                              gives LpA = 79.2 dB. This is the sound pressure
                        ration, as illustrated in Figure 7.29, with burner
                                                                                                                                              level contribution emitted from burner A mea-
                        B operating alone, and the noise level is 85 dB
                                                                                                                                              sured at location 2. Because the distance from
                        at location 2.
                                                                                                                                              burner C to location 2 is the same, the sound
              Find:     How is the noise level determined at location 2
                                                                                                                                              pressure level contribution from burner C at loca-
                        when all burners are operating?
                                                                                                                                              tion 2, LpC, is also 79.2 dB. The total sound pres-
              Solution: First, find the sound power level, Lw , emitted from
                                                                                                                                              sure level at location 2 can be determined by
                        each burner, assuming that the source is emitted
                                                                                                                                              adding the sound pressure level contribution from
                        at the muffler exit at points 1A, 1B, and 1C.
                                                                                                                                              each burner (79.2 dB + 79.2 dB + 85 dB). The
                        Assume that the noise spreads over a uniform
                                                                                                                                              sound pressure levels can be added using the fol-
                        sphere from each of these points. The sound
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                              lowing equation:
                        power level can be calculated as:
                                                                                        1 
                                                                   Lw = L p − 10 log10          − 10.5        (7.8)
                                                                                                                                               L ptotal = 10 log10 10   (     Lp
                                                                                                                                                                                   A
                                                                                                                                                                                       10
                                                                                                                                                                                            + 10
                                                                                                                                                                                                   Lp
                                                                                                                                                                                                        B
                                                                                                                                                                                                            10
                                                                                                                                                                                                                 + 10
                                                                                                                                                                                                                        Lp
                                                                                                                                                                                                                         C
                                                                                                                                                                                                                             10
                                                                                                                                                                                                                                  )
                                                                                        4π r 2 
                                                                                                                                                        = 86.8 dB                                                            (7.10)
                                                                  where Lp is the sound pressure level and r is the
                                                                  distance from the source (in feet). The noise level                         For this example, the noise level will be approx-
                                                                  3 ft (1 m) from burner B (location 2) is 85 dB                              imately 1.6 dB higher when all the burners are
                                                                  when it is operating alone. From Eq. (7.8),                                 operating than if burner B is operating alone.
                                                                  LwB = 95.0 dB. Assuming that all burners are
                                                                  operating at the same conditions, the sound              7.5.2 High-Pressure Flare
                                                                  power level must be 95.0 dB for each one. The            Figure 7.30 is a plot showing the sound-pressure-level spec-
                                                                  sound pressure level contribution, Lp, can now           trum of a high pressure flaring event burning Tulsa natural gas
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Noise 245
                                                                                              120
                                                                                                         Experiment Without Water Injection, 115 dB, 109 dBA
                                                                                              115
                                                                                                         Model Without Water Injection,                   114 dB, 110 dBA
                                                                                              110
                                                                           Noise Level (dB)
                                                                                              105
                                                                                              100
                                                                                              95
                                                                                              90
                                                                                              85
                                                                                              80
                                                                                              75
                                                                                              70
                                                                                                    10     100                1000                             10000                           100000
Frequency (Hz)
FIGURE 7.31 The noise contributions separately based on the mathematical model.
                   in a 3.5-in (8.9-cm) tip. The symbols and the lines represent                                                    Figure 7.31 is a plot showing the noise contributions sep-
                   the noise spectrum gathered using a real-time sound-level                                                     arately based on the mathematical model. Notice that the gas
                   meter and mathematical modeling results, respectively. The                                                    jet mixing noise is a broadband frequency spectrum, while
                   sound pressure level spectrum consists of two major peaks: a                                                  the screech noise occurs over a fairly narrow bandwidth.
                   low-frequency peak that corresponds to the combustion roar                                                       The screech noise would not exist if the flare operated
                   and a high-frequency peak that corresponds to the gas jet                                                     below the critical gas pressure. Below the critical gas pres-
                   noise. The intermediate peak is a result of piping and valve                                                  sure, shock waves, which cause screech noise, do not form.
                   noise. Notice that the combustion roar peaks at a frequency of                                                The summation of the combustion roar, gas jet mixing noise,
                   approximately 63 Hz, which is typical for a stable burning                                                    and screech noise provides the total sound pressure level
                   open flare.                                                                                                   prediction emitted from the flare.
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                                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 7.32 Effect of distance on flare noise.
              TABLE 7.7 The Overall Sound Pressure Level (OASPL)                                   noise level peaks at about 80 dBA, while at 3000 ft (910 m),
              Determined Experimentally and Using the Mathematical                                 the peak reduces to about 74 dBA. When the atmospheric
              Model                                                                                attenuation is taken into account, depending on the ambient
                                 Jet                                       Combustion              temperature and humidity level at the time of measurement,
                             Mixing Noise                 Screech Noise      Roar       Total      there is further reduction in noise levels. It is important to
                                                                   Model                           note that the contribution in each case is significant. Given
                                                                                                   the particular atmospheric conditions in this example, the
              dB                   105.7                           105.1     113.0      114.3
              dBA                  105.2                           105.3      97.4      108.6      attenuation has created a significant difference. The 10-dB
                                                                                                   attenuation (from 74 dBA to 64 dBA) amounts to the sound
                                                            Experiment                             intensity reduction equal to one-tenth of its intensity at
              dB                     —                              —          —        113.7      3000 ft (910 m) without atmospheric attenuation. Hence, it
              dBA                    —                              —          —        109.2      should be noted that measurements may vary significantly on
                                                                                                   different days for the same equipment if the atmospheric con-
                                                                                                   ditions are significantly different.
Noise 247
                     Anechoic room: Room whose boundaries effectively absorb all                Phon: Loudness level of a sound, numerically equal to the
                           incident sound over the frequency range of interest,                      sound pressure level of a 1-kHz free progressive wave,
                           thereby creating essentially free field conditions.                       which is judged by reliable listeners to be as loud as the
                     Audibility threshold: Sound pressure level, for a specified fre-                unknown sound.
                           quency, at which humans with normal hearing begin to                 Pink noise: Broadband noise whose energy content is inversely
                           respond.                                                                  proportional to frequency (–3dB per octave or –10 dB per
                     Background noise: Ambient noise level above which signals                       decade).
                           must be presented or noise sources measured.                         Power spectrum level: Level of the power in a band 1 Hz wide
                     Decibel scale: Linear numbering scale used to define a loga-                    referred to a given reference power.
                           rithmic amplitude scale, thereby compressing a wide range            Reverberation: Persistence of sound in an enclosure after a
                           of amplitude values to a small set of numbers.                            sound source has been stopped. Reverberation time is the
                     Diffraction: Scattering of radiation at an object smaller than                  time (in seconds) required for sound pressure at a specific
                           one wavelength and the subsequent interference of the                     frequency to decay 60 dB after a sound source is stopped.
                           scattered wavefronts.                                                Root mean square (RMS): The square root of the arithmetic
                     Diffuse field: Sound field in which the sound pressure level is                 average of a set of squared instantaneous values.
                           the same everywhere, and the flow of energy is equally               Sabine: Measure of sound absorption of a surface. One metric
                           probable in all directions.                                               sabine is equivalent to 1 m2 of perfectly absorptive surface.
                     Diffuse sound: Sound that is completely random in phase;                   Sound: Energy transmitted by pressure waves in air or other
                           sound that appears to have no single source.                              materials which is the objective cause of the sensation of
                     Directivity factor: Ratio of the mean-square pressure (or inten-                hearing. Commonly called noise if it is unwanted.
                           sity) on the axis of a transducer at a certain distance to           Sound intensity: Rate of sound energy transmission per unit
                           the mean-square pressure (or intensity) that a spherical                  area in a specified direction.
                           source radiating the same power would produce at that
                                                                                                Sound level: Level of sound measured with a sound level meter
                           point.
                                                                                                     and one of its weighting networks. When A-weighting is
                     Far field: Distribution of acoustic energy at a much greater                    used, the sound level is given in dB(A).
                           distance from a source than the linear dimensions of the
                                                                                                Sound level meter: An electronic instrument for measuring the
                           source itself. See also diffraction.
                                                                                                     RMS of sound in accordance with an accepted national or
                     Free field: An environment in which there are no reflective
                                                                                                     international standard.
                           surfaces within the frequency region of interest.
                                                                                                Sound power: Total sound energy radiated by a source per unit
                     Hearing loss: An increase in the threshold of audibility due to
                                                                                                     time.
                           disease, injury, age, or exposure to intense noise.
                                                                                                Sound power level: Fundamental measure of sound power,
                     Hertz (Hz): Unit of frequency measurement, representing
                                                                                                     defined as:
                           cycles per second.
                     Infrasound: Sound at frequencies below the audible range, that                                                                     P
                           is, below about 16 Hz.                                                                                Lw = 10 log10             , dB
                                                                                                                                                        P0
                     Isolation: Resistance to the transmission of sound by materials
                           and structures.                                                           where P is the RMS value of sound power in watts, and
                     Loudness: Subjective impression of the intensity of a sound.                    P0 is 1 pW.
                     Masking: Process by which the threshold of audibility of one               Sound pressure: Dynamic variation in atmospheric pressure.
                           sound is raised by the presence of another (masking)                      The pressure at a point in space minus the static pressure
                           sound.                                                                    at that point.
                     Near field: That part of a sound field, usually within about two           Sound pressure level: Fundamental measure of sound pressure
                            wavelengths of a noise source, where there is no simple                  defined as:
                            relationship between sound level and distance.
                     Noise emission level: dB(A) level measured at a specified dis-                                                                     P
                                                                                                                                 L p = 20 log10            , dB
                            tance and direction from a noise source, in an open envi-                                                                   P0
                            ronment, above a specified type of surface; generally
                            follows the recommendation of a national or industry stan-               where P is the RMS value (unless otherwise stated) of
                            dard.                                                                    sound pressure in pascals, and P0 is 1 µPa.
                     Noise reduction coefficient (NRC): Arithmetic average of the               Sound transmission loss: Ratio of the sound energy emitted
                            sound absorption coefficients of a material at 250, 500,                 by an acoustical material or structure to the energy incident
                            1000, and 2000 Hz.
      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                     on the opposite side.
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              Standing wave: A periodic wave having a fixed distribution in             11. W.R. Bussman and D. Knott, Unique concept for noise
                    space that is the result of interference of progressive waves           and radiation reduction in high-pressure flaring, OTC
                    of the same frequency and kind. Characterized by the                    Conference, Houston, TX, 2000.
                    existence of maximum and minimum amplitudes that are
                    fixed in space.                                                     12. L.D. Frank and D.R. Dembicki, Lower plant noise with
                                                                                            lagging, Hydrocarbon Processing, 71(8), 83-85, 1992.
              Thermoacoustic efficiency: A value used to characterize the
                    amount of combustion noise emitted from a flame. Defined
                    as the ratio of the acoustical power emitted from the flame
                    to the total heat release of the flame.                            BIBLIOGRAPHY
              Ultrasound: Sound at frequencies above the audible range, that
                    is, above about 20 kHz.                                            Alberta Energy and Utilities Board, Calgary, Alberta, 1998.
              Wavelength: Distance measured perpendicular to the wavefront             American Petroleum Institute, 50, 125-146, 1972.
                    in the direction of propagation between two successive
                    points in the wave, which are separated by one period.             R.S. Brief and R.G. Confer, Interpreting noise dosimeter
                    Equal to the ratio of the speed of sound in the medium to               results based on different noise standards, Am. Indust.
                    the fundamental frequency.                                              Hygiene J., 36(9), 677-682, 1975.
              Weighting network: An electronic filter in a sound level meter           S.C. Crow and F.H. Champagne, Orderly structure in jet tur-
                    that approximates, under defined conditions, the frequency               bulence, J. Fluid Mech., 48(3), 547-591, 1971.
                    response of the human ear. The A-weighting network is
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                    most commonly used.                                                A.H. Diserens, Personal noise dosimetry in refinery and
              White noise: Broadband noise having constant energy per unit                  chemical plants, J. Occupational Med., 16(4), 255-257,
                    of frequency.                                                           1974.
                                                                                       A. Gharabegian and J.E. Peat, Saudi petrochemical plant noise
                                                                                            control, J. Environ. Eng., 112(6), 1026-1040, 1986.
              REFERENCES                                                               HFP Acoustical Consultants, Effect of flow parameters on flare
                                                                                            stack generator noise, Proc. Spring Environmental Noise
                  1. A.P.G. Peterson, Handbook of Noise Measurement, 9th                    Conf.: Innovations in Noise Control for the Energy
                     ed., GenRad, Concord, MA, 1980.                                        Industry, Alberta, Canada, April 19-22, 1998.
                  2. W. Daiminger, K.R. Fritz, E. Schorer, and B. Stüber,              International Electrochemical Commission, IEC Standard,
                     Ullman’s Encyclopedia of Industrial Chemistry, Vol. B7,                 Publication 651, Sound Level Meters, 1979.
                     VCH, Weinheim, 1995, 384-401.                                     ISO 1683 (E), Acoustics–Preferred Reference Quantities for
                  3. A. Thumann and R.K. Miller, Secrets of Noise Control,                  Acoustic Levels, 1983.
                     Fairmont Press, 1974.                                             ISO 532 (E), Acoustics Method for Calculating Loudness
                  4. O.C. Leite, Predict flare noise and spectrum, Hydrocar-                Level, 1975.
                     bon Processing, 68, 55, 1988.                                     ISO 1996-1 (E), Acoustics: Description and Measurement of
                  5. W. Bussman and J. White, Steam-Assisted Flare Testing,                 Environmental Noise.
                     John Zink Co. Internal Report, September 1996.                    ISO 3744 (E), Acoustics: Determination of Sound Power
                  6. A.A. Putnam, Combustion Noise in the Handheld                          Levels of Noise Sources.
                     Industry, Battelle, Columbus Laboratories.                        Engineering Methods for Free Field Conditions over a
                                                                                            Reflecting Plane, 1081.
                  7. L.L. Beranek and I.L. Ve’r, Noise and Vibration Con-
                     trol Engineering, John Wiley & Sons, New York, 1992.              ISO/DIS 8297, Acoustics: Determination of Sound Power
                                                                                            Levels of Multi-source Industrial Plants for the Evalua-
                  8. H. Shen and C.K.W. Tam, Numerical simulation of the
                                                                                            tion of Sound Pressure Levels in the Environment-
                     generation of axisymmetric mode jet screech tones,
                                                                                            Engineering Method, 1988.
                     AIAA Journal, 36(10), 1801, 1998.
                                                                                       ISO 9614-1 (E), Determination of Sound Power Levels of
                  9. L.L. Beranek, Noise and Vibration Control, McGraw-Hill,
                                                                                            Noise Sources Using Sound Intensity. Part I: Measure-
                     New York, 1971.
                                                                                            ment at Discrete Points; Part II: Measurement at
                10. Allied Witan Co., Noise Facts and Control, 1976.                        Planned Points, 1993.
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Noise 249
                   W.W. Lang, Ed., A commentary on noise dosimetry and stan-              G. Seebold and A.S. Hersh, Control flare steam noise, Hydro-
                        dards, Proc. Noise Congress-75, Gaithersburg, MD,                      carbon Processing, 51, 140, 1971.
                        Sept. 15-17, 1975.
                                                                                          G.K. Selle, Steam-assisted flare eliminates environmental
                   J.C. Maling, Jr., Ed., Start-up silencers for a petrochemical               concerns of smoke and noise, Hydrocarbon Process-
                         complex, Proc. Int. Conf. Noise Control Eng., Decem-                  ing, 73(12), 77-78, 1994.
                         ber 3-5, 1984.
                                                                                          B.N. Shivashankara, W.C. Strahle, and J.C. Henkley, Com-
                   A. Powell, On the noise emanating from a two dimensional
                                                                                               bustion noise radiation by open turbulent flames, Paper
                        jet above the critical pressure, The Aeronautical Quar-
                                                                                               73-1025, AIAA Aero-Acoustics Conference, Seattle,
                        terly, 4, 103, 1953.
                                                                                               WA, 1973.
                   A.A. Putnam, Combustion noise in the hand glass industry,
                        Tenth Annu. Symp. on the Reduction Cost in the Hand               J.F. Straitz, Improved flare design, Hydrocarbon Processing,
                        Operated Glass Plants, 1979.                                            73(10), 61-66, 1994.
                   R. Reed, Furnace Operations, Gulf Publishing, Houston, TX,             A. Thomas and G.T. Williams, Flame noise: sound emission
                        1981.                                                                  from spark-ignited bubbles of combustion gas, Proc.
                   H.S. Ribner, Perspectives on Jet Noise, AIAA Journal,                       Roy. Soc., A294, 449, 1966.
                        19(12), 1513, 1981.                                               E. Zwicker and H. Fastl, Psychoacoustics-Facts and Models,
                   J.P. Roberts, Ph.D. thesis, London University, 1971.                        Springer Verlag, Berlin, 1990.
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Chapter 8
                                                                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Mathematical Modeling
                                        of Combustion Systems
                                                                                                          Lawrence D. Berg, Wes Bussman, Jianhui Hong,
                                                                                                      Michael Henneke, I-Ping Chung, and Joseph D. Smith
TABLE OF CONTENTS
                                                                                                                              251
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              order to provide the reader with additional details.                  low-pressure zone depends on the energy of the gas jet and
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                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 8.3 Experimental apparatus that has been successfully used to determine the flow coefficients and eduction
                   performance of various flare and burner eduction processes.
                   the resistance of the overall system. The amount of resistance          and the conservation of energy can be written as:
                   or energy lost through the eductor system governs its ability
                   to entrain secondary gases. The four parameters that can                                 Energy1 + Energy 2 − Energy 3 = Losses                 (8.3)
                   influence the performance of an eductor system include the
                   mass flow rate of the motive gas, pressure of the motive gas,             In addition to the conservation equations, the following
                   pressure losses associated with the gas flowing through the             constitutive equations and data are required:
                   system, and motive and secondary gas properties such as
                   specific gravity and ratio of specific heat.                                   • equation of state (see Chapter 4.2.4) to relate densities to
                      For illustrative purposes, consider the control volume (see                   the mass flow rates
                   Chapter 4.3.3 for a discussion of control volumes) analysis                    • NASA nozzle performance data2
                   of an eductor system shown in Figure 8.2. The motive gas                       • saturated steam enthalpy and entropy
                   will expand fully somewhere downstream of the nozzle exit.
                                                                                              It is important that the losses (usually in the form of loss
                   The location of full expansion of the motive gas is designated
                                                                                           coefficients — see Chapters 4.3.2.2, 4.5.3, and 8.4 in this
                   as the inlet to the control volume. Location 1 represents the
                                                                                           book) be accurately determined because they can have a sig-
                   region where the motive gas and educted gas of location 2
                                                                                           nificant influence on the eduction performance of the system.
                   have the same pressure. Location 2 represents the annular
                                                                                           Typically, these losses must be measured experimentally. An
                   region of the secondary or educted gas within the eductor
                                                                                           experimental apparatus that has been successfully used to
                   tube. Somewhere downstream of the orifice is the outlet from
                                                                                           determine the loss coefficients and eduction performance of
                   the control volume, represented as location 3. From control
                                                                                           various flare and burner eduction processes is illustrated in
                   volume theory, one can write the conservation of mass for
                                                                                           Figure 8.3.
                   the process as:
                                                                                              As shown in Figure 8.3, the primary gas nozzle is located
                                                                                           inside a sealed chamber and the eduction system flows to the
                                                   Mass1 + Mass 2 = Mass3   (8.1)          outside. A blower or compressed gas is used to deliver the
                                                                                           secondary gas into the chamber. The mass flow rate of the
                   Similarly, the conservation of momentum can be written as:              secondary gas, entrained through the eduction system, is var-
                                                                                           ied until the pressure inside the chamber is zero while the
                     Momentum1 + Momentum 2 − Momentum 3 = Losses (8.2)                    eduction system is in operation. The mass flow rate of the
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                   FIGURE 8.6 Normalized plot showing the sonic–supersonic eduction performance comparison in a single steam tube used
                   in a typical steam-assisted flare.
                   The following analysis will show that for steam at 100 psig,                                                          For a given inlet stagnation pressure Po and an ambient
                   an increase of only about 15% would be anticipated. It will                                                         pressure Pa , the maximum exit Mach number is achieved
                   also serve as a working example of how to apply control vol-                                                        when the exit pressure Pe is equal to the ambient pressure Pa .
                   umes and fundamental fluid mechanics (compressible flows)                                                           Assuming isentropic flow in the supersonic nozzle, the max-
                   to analyze real equipment.                                                                                          imum Mach number at the exit, Me , is related to Po and Pa by:40
                      Consider Figure 8.2 again. Instead of the control volume
                                                                                                                                                                         γ −1 2 ( )
                                                                                                                                                                                  γ γ −1
                   inlet being set where the motive gas has the same pressure                                                                                  Po Po 
                                                                                                                                                                 =  = 1+     Me                                          (8.5)
                   as the secondary gas, set the inlet at the outlet of the nozzle                                                                             Pe Pa      2    
                   (see also McDermott and Henneke).32 Applying the integral
                   momentum balance yields the following:                                                                              where γ is the specific heat capacity ratio of the motive gas.
                                                                                                                                       Rearranging Eq. (8.5) gives the Mach number at the exit of a
                                                                                                                                       well-designed supersonic nozzle:
                                                                                     G j + Ge = Gm + Losses             (8.4)
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                                             ( γ −1) γ
                                                                                                                                                                               2  Po                  
                                                                                                                                                                                                          
                   where                                                                                                                                        Me =                                   −
                                                                                                                                                                             γ − 1  Pa 
                                                                                                                                                                                                         1               (8.6)
                                                                                                                                                                                                          
                                                                                                                                                                                                         
                                                                     G – Momentum flux normal to control surface = ṁv + PA
                                                                                                                                       The mass flow rate in a choked nozzle is:40
                      Notice that the momentum equation now has to specifically
                                                                                                                                                                                                       ( γ +1) ( γ −1)
                   include the pressure term, because the condition of equal                                                                                               Po       γ  2 
                                                                                                                                                            m˙ = A*                                                    (8.7)
                   pressure is no longer valid. Losses include viscous losses in                                                                                            To      R  γ + 1
                   the tube, entry losses, and exit losses due to non-plug flow
                   velocity distributions. Since this section compares the driving                                                     The above equation is applicable to both sonic and super-
                   force (i.e., the momentum flux of the motive gas Gj ) from a                                                        sonic nozzles. The velocity v at the exit of a nozzle is:
                   converging–diverging (supersonic) nozzle to that from a con-
                   verging (sonic) nozzle, losses will be neglected.                                                                                                    v = Me c = Me γRT                                (8.8)
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              TABLE 8.1 Exit Mach Number, Area Ratio, Driving Force                                                                                                                                                                    ( γ +1)   [ 2( γ −1)]
                                                                                                                                                                              Ae    1  2          γ −1 2
              Ratio, and Driving Force Percentage Increase for Various Gas                                                                                                        =           1 +     Me                                                  (8.11)
              Pressures (γ = 1.33 and Pa = 14.3 psiaa)                                                                                                                        A *
                                                                                                                                                                                    Me  γ + 1        2   
                                                                                                                                                                                                              
                  Po (psig)                                                     M                  Ae/A*                  Ratio                   Increase
                                                                      15       1.096              1.0076                     1.003                     0.3%      From Eqs. (8.9) and (8.10), the driving force ratio (Gj )ss /(Gj )s
                                                                      20       1.221              1.0390                     1.014                     1.4%      is:
                                                                      30       1.410              1.1287                     1.040                     4.0%
                                                                      40       1.550              1.2288                     1.063                     6.3%
                                                                      50       1.663              1.3306                     1.083                     8.3%                                      ( Pe Ae + mv
                                                                                                                                                                                                           ˙ e)
                                                                                                                                                                                                                ss
                                                                                                                                                                                                                         =
                                                                                                                                                                                                 ( Pe Ae + mv
                                                                                                                                                                                                            ˙ e)
                                                                      60       1.756              1.4315                     1.100                     9.2%
                                                                      70       1.837              1.5308                     1.114                    11.4%                                                      s
                                                                      80       1.907              1.6281                     1.126                    12.6%
                                                                                                                                                                               γ − 1 2  ( ) Ae
                                                                      90       1.969              1.7234                     1.137                    13.7%                                − γ γ −1
                                                                     100       2.026              1.8167                     1.147                    14.7%                1 +      Me
                                                                                                                                                                                         
                                                                                                                                                                                 2                A*
              a   Local ambient pressure of Tulsa, Oklahoma.
                                                                                                                                                                                                                                                               (8.12)
                                                                                                                                                                                                         −1 2                ( γ +1) ( γ −1)      
                                                                                                                                                                                    γ −1 2                       2 
                                                                                                                                                                           + γ 1 +     Me                                                   Me 
              For a nozzle with throat diameter A*, the driving force Gj is:                                                                                                         2                          γ + 1                         
                                                                                                                                                                                                                                                  
                                                                                                                                                                                                                      ( γ +1) ( γ −1) 
                                                                                                                                                                       γ − 1 ( )
                                                                                                                                                                               − γ γ −1                 −1 2
                                                                                                       − γ ( γ −1)                                                                               γ − 1       2 
                          ˙ e = Po 1 +
                  Pe Ae + mv
                                        γ −1 2
                                            M                                                                        Ae                                            1 +                + γ 1 +                   
                                                                                                                                                                                                                                      
                                         2                                                                                                                             2                     2         γ + 1                 
                                                                                                                                                                                                                                      
                                                                                                                ( γ +1) ( γ −1)
                                                                                    Po          γ  2 
                                                                           +A   *
                                                                                                                                Me γRT                            The following procedure can be used to estimate the
                                                                                     To         R  γ + 1                                                       increase of driving force from the use of a supersonic nozzle
                                                                                                                                                                 compared to a sonic nozzle:
                                                                                        γ − 1 2  ( ) Ae
                                                                                                   − γ γ −1
                                                                           = Po A* 1 +      Me
                                                                                              
                                                                                           2                A*                                                        1. Calculate exit Mach number Me from Eq. (8.6), assuming
                                                                                                                                                                         isentropic flow in the supersonic nozzle.
                                                                                                     ( γ +1) ( γ −1)                                                 2. Calculate the ratio of the exit area Ae to the throat area
                                                                               γ T         2 
                                                                           +                                         Me                                               from Eq. (8.11) (note: the nozzle needs to be designed to
                                                                                To         γ + 1                                                                      have the right exit area and proper converging–diverging
                                                                                                                                                                        profile).
                                                                                                                                                                      3. Calculate the driving force ratio from Eq. (8.12).
                                                                                        γ − 1 2  ( ) Ae
                                                                                                   − γ γ −1
                                                                           = Po A* 1 +      Me
                                                                                        2               A*                                                   The driving force ratios calculated from the above procedure
                                                                                                                                                                 are tabulated in Table 8.1 for a selected value of γ and ambi-
                                                                                                       −1 2                    ( γ +1) ( γ −1)                  ent pressure Pa.
                                                                                    γ −1 2                      2 
                                                                           + γ 1 +     Me                                                     Me  (8.9)         It can be seen from Table 8.1 that a Mach number of
                                                                                     2                         γ + 1                            
                                                                                                                                                                over 2 corresponds, at best, to a 14.7 percent increase of driv-
                                                                                                                                                                 ing force. The increase in the ṁv term is largely offset by the
              For a choked sonic nozzle, the exit Mach number Me = 1, and
                                                                                                                                                                 decrease in the PA term. As presented previously, experiments
              the exit area is the throat area; therefore, the above equation
                                                                                                                                                                 conducted at the John Zink Company (Tulsa, OK) showed
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              becomes
                                                                                                                                                                 that the increase of air entrainment ratios roughly (within
                                                                                                               − γ ( γ −1)
                                                                                                                                                                 experimental errors) agree with the percentage increase of
                                                 γ − 1                                    
                             ˙ e ) = Po A* 1 +
                   ( Pe Ae + mv                                                                                                                                  driving force listed in Table 8.1.
                                  s               2                                      
                                                                                                                                  ( γ +1) ( γ −1) 
                                                                                                                                                                 8.2.2 Eduction Processes in Pilots
                                                                                                        −1 2
                                                                                         γ − 1                   2 
                                                                                + γ 1 +                               
                                                                                                                                                  (8.10)        The stability of the flame on a pilot is very critical. If the pre-
                                                                                          2                     γ + 1                                       mixed air-to-fuel ratio is not within an appropriate range,
                                                                                                                                                 
                                                                                                                                                                 then the flame could be easily extinguished.
                For an isentropic flow, the exit area of a supersonic nozzle                                                                                        Figure 8.7 shows the normalized eduction performance of
              needs to satisfy:                                                                                                                                  a flare pilot operating on Tulsa Natural Gas (TNG) with two
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                    FIGURE 8.7 Normalized eduction performance of a flare pilot operating on Tulsa natural gas with two different motive
                    gas orifice diameters.
                    FIGURE 8.8 Experimental and theoretical results of the eduction performance of a particular radiant wall burner firing
                    with two different orifice sizes and fuel gas compositions.
                    different motive gas orifice diameters. These results compare              thorough understanding of the fundamental fluid mechanics
                    experimental data obtained from the test apparatus and theo-               in the design of eductor-driven pilots.
                    retical modeling results. Here, the volumetric air-to-fuel ratio
                    remains fairly constant throughout the pressure range tested.
                                                                                               8.2.3 Eduction Processes in
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              releases tested. The slope of the operating curve for the volu-      through the reactor from inlet to outlet. Chemical reactions
              metric air-to-fuel ratio, however, can change significantly,         are allowed to take place, but it is assumed that fluid advec-
              depending on the fuel composition, mixer and tip design, and         tion is the only transport process occurring. This also means
              ambient conditions.                                                  that the mixing processes and recirculations are ignored. A
                 Eductor models have been developed and successfully               plug flow model makes a number of assumptions. It is
              applied to different types of combustion equipment at the            important that the user understand the limitations imposed
              John Zink Company. The experimental and theoretical meth-            by these assumptions.
              ods described inevitably led to both greater insight into the
              operation of the equipment and better performance. The abil-         8.3.1.1 Assumptions
              ity to measure and predict the eduction performance is crucial
                                                                                          • The kinetic energy of the fluid flow is neglected. This
              in the flare and burner industry. Without this ability, it is
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   the Jacobian matrix span several orders of magnitude.                                                                 Burner Primary                               Burner Secondary
                   Press8 gives a good introduction to the solution of these                                                                                                             Secondary Fuel
                                                                                                                                          Primary Fuel and Air
                   types of equations.
                                                                                                                                                                                                                Ambient Flue Gas
                                                                                                                                                  Mix                                           Mix
                   8.3.2 Perfectly Stirred Reactor
                   The perfectly stirred reactor (PSR), sometimes called a con-
                   tinuously stirred tank reactor, is a vessel of spatially uni-                                                                 PSR                                           PFR
              NOx for NOx reduction thermal oxidizers is shown.                 8.4 BURNER PRESSURE DROP
              Although the method is simplistic, trends are correctly pre-      Figure 8.14 shows a typical capacity curve plot that many
              dicted for the burner and excellent predictions for NOx           burner manufacturers use for sizing burners. Capacity curves
              reductions are possible. Because of the possibility of            describe the airside pressure drop through various burner
              improved, fundamentally based performance predictions,            sizes at different heat releases. The curves shown in this par-
              improvement of this technique is an active research topic         ticular example are based on burners operating in the natural-
              for many academic and industrial workers.                         draft mode with 15 percent excess air in the furnace at an
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--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                    400
                                                                            Predicted (ppmv dry)                                                          pt 2
                                                                                                    300                                   pt 2/3           pt 1/3
200
100 pt 1
                                                                                                         0
                                                                                                             0         100          200             300                 400
                                                                                                                      Measured (ppmv dry)
                                                                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 8.13 Sample results of simplified modeling for a thermal oxidizer.
20
                                                                                                                 19
                                                                                                   10
                                                                                                                 18
17
16
15
                                                                                                    1
                                                                                                         0.1                             1                                              10
                                                                                                               Air Pressure Drop (Inches H2O)
              FIGURE 8.14 Capacity curves that many burner manufactures use for sizing burners.
              atmospheric temperature and pressure of 60°F (16°C) and                                                                  the velocity pressure of the air and can be written as (see
              14.7 psia (1 Bar), respectively.                                                                                         Chapter 4.5.3):
                    the combustion air can be related to the combustion air tem-                              be the pressure drop if the burner is operating at 15 percent
                    perature, T, and atmospheric pressure, P, using the ideal gas                             excess air with the combustion air temperature at 60°F and
                    law (Chapter 4.2.4):                                                                      an atmospheric pressure of 14.7 psia. To correct for the actual
                                                                                                              firing conditions we use Eq. (8.21) to obtain:
                                                                        P
                                                                   ρ∝                         (8.18)
                                                                        T
                                                                                                                                 100 + 12     460 + 100   14.7 
                                                                                                                                                        2
                                                                                                                   ∆P1 = 0.5 ×             ×            ×         = 0.54
                    The velocity, V, of the air through the burner is proportional                                              100 + 15    460 + 60   14.0 
                    to the mass flow of air going through the burner and the den-
                    sity. This can be written as:
                                                                                                              Although the percent excess air is reduced from 15 to 12 per-
                                                                                                              cent, the pressure drop through the burner has increased due
                                                               m˙ (100 + EA)                                  to the reduced density of the combustion air.
                                                          V∝     ∝                            (8.19)
                                                               ρ       ρ
                                                                                                                 Capacity curves are convenient for helping engineers size
                    where ṁ represents the mass flow and EA represents the per-                              burners to be used for a specific burner design operating under
                    cent excess air in the furnace. Substituting Eqs. (8.18) and                              certain conditions. However, capacity curves may not provide
                    (8.19) into Eq. (8.17) gives:                                                             accurate estimates of airside pressure drop if a burner design
                                                                                                              or operation is modified. For example, several variables that
                                                                                                              can affect the airside pressure drop include: (1) fuel and
                                                                                T
                                                          ∆P ∝ (100 + EA) ×
                                                                            2
                                                                                              (8.20)          atomizing gas tip drill angles, (2) fuel and atomizing gas tip
                                                                                P
                                                                                                              position, (3) burner tolerances, (4) fuel and atomizing gas
                    Equation (8.20) can be used to write the following equation to                            pressure and temperature, (5) flue gas recirculation, and (6)
                    correct for the airside pressure drop at actual firing conditions:                        fuel splits in the primary and secondary combustion zones.
                                                                                          2
                                                                      100 + EAActual 
                                                 ∆PActual   = ∆PCC ×                 
                                                                      100 + EACC 
                                                             T         P 
                                                            × Actual  ×  CC               (8.21)
                                                              CC   PActual 
                                                               T
                                                                                      fuel nozzles positioned inside the tile section that can help
                                                                                      aspirate the air through the burner but may tend to either
                                                                                      increase or reduce the pressure drop depending on the nozzle
                                                                                      position and orientation. The advantage of using semi-empir-
                                                                                      ical modeling is that it can take into account the effect that
                                                                                      all of these variables have on the airside pressure drop.
                                                                                         John Zink engineers generally use a cold flow test rig
                                                                                      specifically designed to study the airside pressure drop
                                                                                      through various burner designs. The cold flow test rig consists
                                                                                      of a test chamber on support legs located above the ground,
                                                                                      as shown in the photograph in Figure 8.16. The test chamber
                                                                                      is designed so that various sizes and types of burners can be
                                                                                      mounted to the bottom. With this apparatus, burners can be
                                                                                      tested in either the forced- or natural-draft mode. In the nat-
                                                                                      ural-draft mode, air flows through the burner and out of the
                                                                                      test box. At the top, the test box transitions to a duct with
                                                                                      flow straighteners, an orifice metering run, and dampers for
                                                                                      controlling the air flow rate. The flow straighteners provide
                                                                                      a uniform flow distribution of the air before it enters the
                                                                                      orifice metering run. The data obtained from the cold flow
                                                                                      test apparatus provide the necessary details to develop semi-
                                                                                      empirical models used for estimating the airside pressure drop
                                                                                      through burners.
                                                                                         A discussion of the methodology employed to develop the
                                                                                      necessary information follows. For this discussion, Figure 8.15
                                                                                      will be utilized as the typical process burner. Details will vary
                                                                                      from burner to burner, but the method will stay the same.
                                                                                         Starting with the muffler, as combustion air accelerates from
              FIGURE 8.16 Cold flow furnace consists of a test                        a zero velocity to a given velocity at the muffler inlet, energy
              chamber (8 × 8 × 8 ft) supported on legs approximately 7 ft             is lost. Energy is also lost due to the vena contracta created
              above the ground.                                                       as the air enters the muffler. As the air flows through the vena
                                                                                      contracta, it decelerates and loses additional energy. The
                                                                                      acceleration and deceleration of the air as it moves through
                 A method useful for capturing the possible variations of             the muffler inlet has a pressure loss associated with it that can
              burner design is burner semi-empirical modeling, or just                be related to the mean velocity pressure (see Chapter 4.5.3) as
              semi-empirical modeling. Burner designs typically consist of
              a muffler, damper, plenum, throat, and tile section, as illus-                                                                 ρ air Vmuffler
                                                                                                                                                    2
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                 ∆Pmuffler = kmuffler
                                                                                                                                                    inlet
              trated in Figure 8.15. The strategy for determining the airside                                                                                     (8.22)
                                                                                                                      inlet         inlet         2 gc
              pressure drop, using the semi-empirical modeling technique,
              is to relate the airside pressure drop to the velocity pressure
                                                                                      where ∆Pmuffler inlet = Pressure drop associated with the
              of the air going through each section of the burner. This
                                                                                                              combustion air entering the muffler
              strategy can usually be applied to all sections of a burner                   ρair            = Combustion air density
              except the tile section. In the tile section, other factors can               Vmuffler inlet = Mean velocity of the combustion air at
              affect the airside pressure drop, depending on the design of                                    the muffler inlet
              the burner. For example, some burner designs use the pressure                 kmuffler inlet = Loss coefficient into the muffler
              energy of the fuel to aspirate flue gas into the tile section                 gc              = gravitational constant
              where it mixes with the air and burns. If combustion occurs
              within the tile section, it can significantly increase the overall      The loss coefficient will vary depending on the muffler inlet
              pressure drop through a burner. Other burner designs have               design. For example, a square-edged inlet will have a loss
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                   coefficient equal to approximately 0.5. However, the loss                      TABLE 8.2                        Values for a 90° Mitered Elbow
                   coefficient can be as small as 0.02 if the inlet is well-rounded.                                                                      C′0
                   For more information on loss coefficients through various fit-
                                                                                                                                                                  W1/W0
                   tings, see Chapter 4.4.5.3, the ASHRAE Handbook,13 or
                                                                                                   H0/W0                             0.6           0.8          1.2           1.4       1.6          2
                   Idelchik.14 Independent of the reference, experimental valida-
                   tion of the loss coefficient will be accomplished in the cold                     0.25                            1.8           1.4          1.10          1.10      1.10     1.10
                   flow test rig.                                                                      1                             1.7           1.4          1.10          0.95      0.90     0.84
                      As the combustion air flows past the muffler inlet, it takes                     4                             1.5           1.1          0.81          0.76      0.72     0.66
                                                                                                   infinite                          1.5           1.1          0.69          0.63      0.06     0.55
                   a sudden 90° turn through the muffler elbow. The pressure
                   loss associated with the flow through an elbow can also be
                                                                                                  loss coefficient = C′0 Rec
                   related to the mean velocity at the muffler inlet similar to the
                   equation described in Eq. (8.17). The loss coefficient through                 where
                   the elbow is also available in the literature, with values shown               C′0 = values from table above
                   as flow through mitered elbows provided in Table 8.2.13 The                    Rec = Reynolds number correction factor (listed below)
                   values can also be determined/validated experimentally with                    Re = Reynolds number at inlet to elbow = V × D / ν
                                                                                                  V = mean velocity into elbow
                   the cold flow test rig, or determined using computational fluid
                                                                                                  D = hydraulic diameter = 2 × H0 × W0/(H0 + W0)
                   dynamics (CFD, see Chapter 9).
                                                                                                  ν = kinematic viscosity
                      Notice that the loss coefficient through a mitered elbow is
                   a function of the Reynolds number. This suggests that the loss
                   coefficient through the muffler can change with burner turn-                   Re × 10–4                    1             2      3       4           6           8   10     >14
                   down conditions or draft levels. Capacity curves, as discussed                 Rec                       1.40            1.26   1.19   1.14         1.09    1.06     1.04   1.0
                   earlier, assume a constant loss coefficient throughout the
                   burner, regardless of turndown conditions or draft levels. That
                   Reynolds dependence may be a hidden source of error for
                   capacity curves is something to be aware of when sizing
                   combustion equipment.
                      At this time, it is important to note a couple of points. First,
                   as the combustion air flows through each burner component,
                   the density will decrease due to the reduction in pressure. As
                   discussed earlier, a reduction in the combustion air density
                   will increase the pressure drop. The pressure drop through a                   to take as much pressure drop across the burner throat as
                   burner system typically varies between 0.2 to 0.7 in. water                    possible to achieve good mixing between the air and fuel.
                   column, which corresponds to an air density variation of about                 With the damper blades positioned fully open, the pressure
                   only 0.1 percent. This variation in density is not significant                 drop through the damper can usually be neglected. The pres-
                   enough to be considered in the pressure drop calculations.                     sure drop across the damper blades for various damper set-
                   However, if draft levels are high, the density variation through               tings can be determined using the same technique as discussed
                   the burner should be considered. Second, as the combustion                     above. The loss coefficient for each damper setting would
                   air approaches each section of the burner, the air velocity                    need to be determined experimentally or by using CFD and
                   profile may not be fully developed. Most sources provide loss                  based on the approach velocity of the combustion air in the
                   coefficients based on the assumption of a fully developed                      damper section.
                   velocity profile of the gas upstream of the fitting. For practical
                                                                                                     As the air enters into the plenum section, it turns 90°. The
                   combustion equipment, uniform velocity distributions may
                                                                                                  loss coefficient can be determined experimentally, using CFD
                   not exist, causing the loss coefficient reported in the literature
                                                                                                  modeling, or approximated using the loss coefficients given
                   to be lower than reality. When using literature loss coeffi-
                                                                                                  in the ASHRAE Data Handbook for a 90° mitered elbow. Just
                   cients, the reader should be aware of this possible difference
                                                                                                  downstream of the elbow, the combustion air enters into the
                   and, to the maximum extent possible, utilize experimental
                                                                                                  throat section of the burner.
                   validation for individual burner components.
                      In addition to the major components, dampers add possible                     The pressure loss through this section can be approximated
                   pressure drop to a burner. Burners are typically sized with the                as a sudden contraction. The loss coefficient for a sudden
                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   damper blades positioned fully open because one would like                     contraction depends on the design of the entrance and the
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              throat-to-plenum area ratio. Table 4.4 shows typical loss coef-      flares and high-pressure flares were also developed and intro-
              ficient information, generated from experimental data with a         duced into the industry.
              fully developed approach velocity profile. Again, due to the            The smokeless operating capacity of these early flares rep-
              possibility of nonuniform velocity distributions, experimental       resented an improvement over a continuously smoking flare.
              validation is preferred.                                             Historically, the smokeless performance of a flare was esti-
                 When the air mixes with the fuel and reacts inside the tile       mated by vendor performance testing, field tests, or “rules of
              section, the products of combustion expand to several times          thumb” based on operating experience.
              the volume of the original air/fuel mixture. The rapid increase         As smokeless flare capacity increased, vendor performance
              in volume flow rate can have a significant effect on the total       testing became impractical and performance predictions relied
              pressure drop through the burner. The John Zink engineers            more heavily upon field data. Unfortunately, field experience
                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              have correlated the pressure drop through the tile section           was unreliable because flares were typically not monitored.
              based on the expansion and density of the products of com-
                                                                                      More recently, the environmental and regulatory agencies
              bustion. These correlations are developed from both hot and
                                                                                   have required a minimum smokeless rate as part of plant
              cold flow furnace data and CFD analysis.
                                                                                   operating permits. Customers have also begun installing flow
                 Fuel nozzles located around the tile section can either
                                                                                   meters and video cameras to monitor flare performance. This
              increase or decrease the overall pressure drop through the
                                                                                   additional focus has resulted in better field data to assess
              burner, depending of the location, orientation, and size of the
                                                                                   actual flare performance. In many instances, the initial “rules-
              fuel ports. Cold flow testing is required to provide the infor-
                                                                                   of-thumb” or other estimation methods have failed to accu-
              mation necessary to correlate the effects of burner pressure
                                                                                   rately predict smokeless operation. Figure 8.17 highlights
              drop for various nozzle configurations.
                                                                                   some of the difficulties of predicting flare performance. This
                 Semi-empirical modeling does require an attention to
                                                                                   shows that for the same flare, with the same gas, at nearly
              detail, but, as it turns out, it only requires about the same
                                                                                   the same operating conditions, one flare smokes while the
              amount of time to accomplish as the capacity curve method.
                                                                                   other does not.
              However, it has several advantages over the traditional
              method of using capacity curves. These models can (1) pro-              To address previous shortcomings, a more fundamental
              vide a consistent way of determining airside pressure drop           technique for determining flare smokeless performance for
              for design engineers, (2) give better insight into what vari-        commercial flare equipment has been developed. This tech-
              ables affect airside pressure drop, and (3) be used as a tool        nique is based on the hypothesis that some combination of
              to help improve future burner designs. As a first approxima-         nondimensional parameters can describe the smokeless burn-
              tion, capacity curves are an excellent engineering tool and          ing of turbulent diffusion flames of known initial conditions
              are easily generated from semi-empirical models. Semi-               (i.e., fuel type, diameter, exit velocity, etc.). This method
              empirical modeling, however, takes burner capacity and siz-          divides the flame into two sections (see Figure 8.18) and
              ing to the next level and provides the burner design engineer        focuses on the main body of the flame. Effects due to tip
              unprecedented flexibility in meeting the needs of a diverse          geometry are represented by other proprietary models.
              customer base.
                                                                                   8.5.1.1 Industrial Experience
                                                                                   Over time, John Zink engineers have identified several major
              8.5 FLARE SMOKELESS OPERATION                                        factors that affect the smokeless operation of a flare: (1) fuel type,
                                                                                   (2) tip diameter, (3) inerts, (4) flow velocity, (5) ambient con-
              8.5.1 Predicting Flame Smoking Tendencies                            ditions (e.g., wind speed, relative humidity, and temperature),
              Prior to 1947, venting of unburned hydrocarbons to the atmo-         and (6) total mass flow rate.
              sphere was standard industry practice. After 1947, regula-              These factors, from a qualitative viewpoint, have a signifi-
              tions required hydrocarbons to be burned (or “flared”) due to        cant impact on the smokeless capacity, but the effect of each
              serious health and safety hazards. Initially, flares burned the      parameter is difficult to quantify. For example, the tendency
              hydrocarbon waste gas stream directly at the vent exit. This         to smoke was found15 to roughly correlate with the fuel’s
              method of flaring, however, often produced large clouds of           hydrogen-to-carbon ratio (H:C) and lower heating value
              black smoke that could be seen from miles away. In 1952, the         (LHV). For years, the H:C ratio and the LHV of the fuel were
              John Zink Company patented and built the first smokeless             used to analyze the smoking tendency of a hydrocarbon fuel.
              flare (see Chapter 20). This flare eliminated smoke by inject-       This information, coupled with experience, were utilized to
              ing steam into the waste gas stream. Several years later, air        estimate the smokeless rate of a particular flare.
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                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 8.17 (a) Smoking and (b) non-smoking flares.
                   8.5.1.2 Combustion Literature                                             burning off at a faster rate than they were being produced.
                   The orange and yellow color observed in a flame is produced               They concluded that the aeration rate of the flame increased
                   by light emitted from glowing carbon particles, or soot,                  with exit velocity. This qualitative observation implies that
                   inside the flame. When these carbon particles cool, they turn             flame length correlations might also be used for predicting
                   black and are seen as soot or smoke. To eliminate soot, the               carbon burn-off rates (Becker17 and Blake18).
                   particulate carbon must burn off at a faster rate than that at               Numerous options have been identified for scaling in-flame
                   which it is produced. Currently, no directly applicable work              soot formation rates, as summarized by Glassman19 and Bar-
                   has been documented that addresses the smokeless rates of                 tok.3 A partial list includes: (1) sooting equivalence ratios,
                   industrial-scale flare flames. However, there is a substantial            (2) number of C–C bonds, (3) critical oxygen partial pres-
                   body of literature in related areas of flame lengths and soot             sures, (4) smoke heights, (5) maximum soot volume fraction,
                   formation rates.                                                          (6) H:C ratio (Reed15), and (7) maximum radiant fractions.
                      To characterize the length of a flame, Hottel and Hawthorn16              Considering the number of scaling parameters, several
                   first noted that as the exit velocity of an external hydrocarbon          models are possible. All of the effects initially identified as
                   jet increased, the flame length initially increased, while the            important have been incorporated into John Zink’s Flare Per-
                   flame color became more transparent (less yellow). The more               formance Model. In general, however, the model scales the
                   translucent flame indicated that the carbon particles were                smoke evolution from turbulent diffusion rates by taking the
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FIGURE 8.19 Illustration showing the experimental setup utilized to obtain calibration and validation data.
                   8.5.2.1 Predicting Steam Flare Smoking Tendencies                                steam-to-hydrocarbon ratio (on a mass basis) for various
                   As previously discussed, John Zink engineers have devel-                         molecular weights of paraffinic hydrocarbons. The “data”
                   oped a new predictive method to determine whether a flame                        points in the plot are from Leite.22 These data points, origi-
                   will smoke or not. This method relates fundamental measures                      nally published several years ago, are currently used in the
                   of the momentum of the air, steam, and flared gas, at the base                   industry as guidelines to estimate the steam-to-hydrocarbon
                   of the flare tip, to smokeless capacity. This method can be                      ratio required for smokeless flaring of paraffinic hydro-
                   used, in general, to predict the smokeless performance of any                    carbons. The information likely represents a combination of
                   flare, as long as the mass flow rates and momentum of the                        small-scale testing and field observations. Assuming this data
                   various gas constituents can be accurately determined.                           was gathered on flares with diameters between 16 and 24 in.
                      To apply the predictive tool to steam-assisted flares, one                    (41 and 61 cm) and steam pressures of approximately
                   must first determine the initial conditions at the base of the
                                                                                                    100 psig (6.8 barg), the data may be compared to predictions
                   flame. In this case, only the velocity and the air/steam mixed
                                                                                                    from the steam flare predictive tool. This comparison is also
                   into the hydrocarbon stream are unknown.
                                                                                                    shown in Figure 8.23. The comparison between Leite’s data
                      For basic steam flares, the combined velocity of the hydro-
                                                                                                    and the predicted performance from the steam model, based
                   carbon and steam mixture is determined from an overall
                                                                                                    on the most likely operating conditions, shows good agree-
                   momentum balance, and entrained air is estimated using free
                                                                                                    ment. However, experience suggests that for large-diameter
                   jet entrainment laws.21
                                                                                                    flare tips, the steam-to-hydrocarbon ratios required for
                      For more complex steam flares, the same procedure is
                   followed, except the air mixed into the hydrocarbon stream                       smokeless flaring can increase dramatically above the values
                   is enhanced by steam eduction tubes. The eductor model                           provided in Figure 8.22. Figure 8.23 compares predictions
                   discussed in Chapter 8.2 is used to determine the additional                     from the new model and field data from flares with over three
                   air available at the base of the flame.                                          times the diameter. In this case, the graph clearly shows that
                      These predictive tools have been applied to estimating the                    there is excellent agreement between the model predictions
                   smokeless performance of both basic and complex steam                            and quality field data. The model, however, also dramatically
                   flares with good success. Such tools also indicate the possible                  demonstrates a limitation when using steam-to-hydrocarbon
                   error associated with using standard industry design guide-                      ratios for estimating steam flare smokeless performance —
                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   lines for steam-assisted flares. Figure 8.22 is a plot of the                    they (steam-to-hydrocarbon ratios) are a function of diameter.
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106 106
Predicted
                                                                                                     102                                                                                                        102
                                                                                                                                            Nozzle "B"                                                                                              Nozzle "B"
                                                                                                       1
                                                                                                     10                                                                                                         101
                                                                                                      0                                                                                                          0
                                                                                                              100      101   102      103    104      105       106                                                   100      101    102     103    104      105       106
                                                                                                                      Normalized Propylene Flow                                                                              Normalized Propylene Flow
                                                                                                                                      =
                                                                                                                                                                                                                                              =
                                                                                                     106                                                                                                        106
                                                                                                                        Predicted                                                                                                Predicted
                                                                                                                                                                                                                105                 vs
                                                                                                                                                                                     Normalized dilluent flow
                                                                                                     105                                                                                                                                               Nozzle Size "D"
                                                                          Normalized dilluent flow
102 102
                                                                                                          0                                                                                                      0
                                                                                                              100      101    102     103     104      105      106                                                    100      101    102    103    104       105      106
                                                                                                                     Normalized Propane Flow                                                                                 Normalized Propane Flow
                                                                                                                                      >                                                                                                     >
              FIGURE 8.20 Prediction of diluent flow for smokeless                                                                                                       FIGURE 8.21 Figure 8.20 with data points added.
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
operation.
              Figure 8.24 shows a steam flare in operation that was designed                                                                                             mix into the hydrocarbon as the fan comes up to speed; and
              by this new method.                                                                                                                                        the third is steady-state operation with a highly enhanced
                                                                                                                                                                         air mixing rate. Figure 8.26 also highlights the enhanced
              8.5.3 Modeling Air-Assisted Flares                                                                                                                         aeration effects on the flame; flame length decreases as
              An air-assisted flare uses air supplied from a high-pressure                                                                                               smoking is reduced.
              fan as a supplemental energy source to achieve smokeless                                                                                                      To apply the predictive tools to air-assisted flares, hydro-
              combustion of a hydrocarbon stream. This is achieved by                                                                                                    carbon and air velocity, along with a rate of aeration must be
              increasing the overall exit velocity of the stream and                                                                                                     determined. The velocity increase of a hydrocarbon stream
              through increased aeration rates. A typical schematic is                                                                                                   due to interactions with the supplied air from the blower is
              shown in Figure 8.25. Figure 8.26 shows the effect of the                                                                                                  calculated from a momentum balance. The rate at which the
              high-velocity air on an unsaturated hydrocarbon. The first                                                                                                 supplied air is mixed into the hydrocarbon stream is more
              photo is with the fan off; the second is the air starting to                                                                                               difficult, but may be assumed to be a turbulent diffusion
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                   8.5.4 Summary
                   An analytical model to predict smoke evolution from a tur-
                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   bulent diffusion flame has been developed and implemented
                   by John Zink Company engineers. Recent applications of
                   the method have resulted not only in optimized equipment
                   but greater insights into equipment operation and possible                                                               (b)
                   failure modes as well. In every case, the most significant
                   problems were observed when attempting to “scale-up”
                   existing equipment to larger sizes. Even though the model
                   predicted the possible performance problems with larger
                   equipment, validation with large-scale data was still
                   required. As described at the beginning of this section, reli-
                   ance on field data may be problematic; ultimately, only
                   larger test facilities can provide the data required to prevent
                   serious under-sizing of equipment and verify the accuracy of
                   predictive models. Having this experimental and analytical
                   capability is a requirement for supplying reliable, high-
                   capacity industrial flare equipment.
                                                                                                                                            (c)
                   8.6 OIL GUN CAPACITIES                                                   FIGURE 8.26 Effect of high velocity air: (a) blower off,
                   Oil firing of process heaters is common in most of the world.            (b) commence blower and (c) blower on (Courtesy of John
                   To efficiently combust oil, it must be “broken up” into very             Zink Co., LLC., Tulsa, OK).
                   small droplets, or atomized (Figure 8.30 shows a typical oil
                   flame). Typical applications utilize steam as an atomizing
                   agent and require some type of equipment to effect mixing of             Zink oil gun, and Figure 8.32 shows a typical oil gun sche-
                   the two streams. This oil/steam mixer or atomizer is normally            matic. Steam and oil are supplied separately, then mixed in a
                   referred to as an oil gun. Figure 8.31 shows the standard John           manner to enhance atomization. The equipment is operated
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                                                                                                  10
                                                                        Airation Rate Parameter
                                                                                                  8
                                                                                                  0
                                                                                                       0     500       1000          1500              2000               2500
                                                                                                                    Scaling Functional
              FIGURE 8.27 The aeration rate was determined and plotted against the scaling functional.
              by setting the steam and oil pressures, with the steam having                                                     cating issues in developing an analytical model of the system;
              a higher pressure than the oil. Typically, these pressures will                                                   two-phase flows, several choked flows, two-phase choked
              have a fixed differential; for example, setting the steam to                                                      flow regions, atomization efficiency, and accurate determina-
              50 psig (3.4 barg) and the oil to 35 psig (2.4 barg) would cor-                                                   tion of flow rates are just a few of the issues. This section
              respond to a 15 psig (1 barg) differential.                                                                       summarizes the model formulation and results obtained.
                 For a given application, the customer is interested in know-                                                      The problem formulated and solved by this flow model is
              ing what heat release (or capacity) and steam usage to expect                                                     that of determining the required oil pressure to flow a
              from given pressure settings. Typical oil gun capacity curves                                                     specified amount of oil, atomized by steam, through a partic-
              will show heat release as a function of available oil pressure                                                    ular size proprietary gun. The required user inputs to this
              only. These curves are based on limited experimental data                                                         problem are the mass flow rate of oil (or, alternatively, the
              from a specific oil, oil temperature, steam temperature, and                                                      heat release), the steam differential (typical value ~30 psi),
              pressure differential. For these types of curves, the only prop-                                                  the grade of oil fired, and the steam and oil temperatures.
              erty that can be considered is the oil heating value. All other                                                   This effort has resulted in a model that predicts the two-phase
              factors (e.g., oil temperature, specific gravity, steam temper-                                                   flow rates with greater accuracy than previously possible.
              ature, or differential) cannot be considered because there is
              typically no basis to correct the capacity curves for these                                                       8.6.1 Summary of Two-Phase Flow
              factors. In addition, it would be expected that steam usage                                                             Analytical Development
              (expressed as a fraction of the oil mass flow rate) would vary                                                    The description below follows the general development out-
              as a function of absolute oil pressure. But again, there is no                                                    lined in Kaviany,24 Kaviany,25 Chislom,26 and Chislom.27
              basis for adjustment of anticipated steam flow rate based on
              a different operating pressure. Clearly, the need for a more                                                      8.6.1.1 Conservation of Mass
              thorough analytical model existed.                                                                                In the model equations, the three components (oil, gaseous
                A recent characterization effort at the John Zink Company                                                       water, and liquid water) are considered to have different
              has focused on utilizing fundamental principles to develop a                                                      velocities. This complicates the description of the local com-
              more general capacity prediction method for these devices.                                                        position because, as shown below, allowing each phase to
              As can be seen from the schematic, there are several compli-                                                      have different velocities requires the definition not only of
                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   conventional mass and volume fractions, but also the defini-                         8.6.1.3 Momentum Conservation
                   tion of mass flux fractions. A mass flux fraction is defined as                      For an idealized, one-dimensional inviscid flow, the differen-
                   the mass flux of an individual component divided by the total                        tial momentum equation can be written as in Anderson.28
                   mass flux. Mathematical description also requires the quality
                   of the steam.                                                                                                                            dP + ρudu = 0       (8.24)
              FIGURE 8.29 Comparison of three different air flares                                                                                                               KE = KE Oil + KE Steam + KE Liquid water
              to prediction.
                                                                                                                                                                                  TE = TE Oil + TE Steam + TE Liquid water                (8.27)
                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   The reference condition chosen is pure liquid at 373 K and
                   1 atm. Pressure changes and interfacial heat transfer will
                   induce phase changes to the steam/water system. These
                   effects are modeled by appropriate latent heat terms, thus
                   accounting for condensation and evaporation effects. To con-
                   serve energy, the sum of the kinetic energy and the thermal
                   energy must remain constant throughout the oil gun. Thus, a
                   total energy (enthalpy) was defined as the sum of the thermal              FIGURE 8.31 Standard John Zink oil gun.
                   and kinetic energies
h t ≡ TE + KE (8.28)
d( h t ) = 0
                   8.6.2 Results
                   Typical results are shown in Figure 8.33. As can be seen,                  FIGURE 8.32 Schematic of a typical oil gun.
                   excellent agreement is achieved between experimental and
                   theoretical flow rates for different oil pressures. Similar                   The performance of atomizers depends on their design, the
                   results were observed for different oils and pressure differen-            physical properties of liquid fuel and atomizing medium, and
                   tials. These efforts have resulted in a capacity prediction                the operating conditions (i.e., pressure and temperature). The
                   technique of unprecedented flexibility. John Zink application              liquid properties include viscosity, surface tension, and den-
                   engineers now have the ability to optimize oil gun applica-                sity. The effect of fluid properties on atomization can be found
                   tions to meet a wider variety of customer conditions.                      in Chung and Presser.34 General atomizer design, atomizing
                                                                                              medium properties, and operating conditions have been dis-
                                                                                              cussed in detail by Lefebvre.35 Here, the focus will be on
                   8.7 OIL GUN DEVELOPMENT                                                    steam-assist oil gun characterization and improvement.
                   Following on the successful development of an oil gun                         Oil gun design has a significant influence on the spray
                   model, it was decided to further optimize oil gun design by                combustion performance and exhaust pollutant emissions. A
                   studying atomization. There are many ways to atomize a bulk                good oil gun should generate a good flame shape, consume
                   liquid into small droplets. Normally, a high relative velocity             minimal atomization medium (steam or compressed air), and
                   between the liquid to be atomized and the surrounding air or               exhaust limited particulate and NOx emissions. The major
                   gas is created. The high shear force between the liquid and                factor that determines such performances is the atomization
                   the gas disrupts the liquid into droplets. Some atomizers                  quality of the oil gun. The parameters that characterize the
                   accomplish this by discharging the high-velocity liquid into a             atomization quality include the mean droplet size, droplet size
                   relatively slow-moving stream of air or gas. Examples of this              distribution, spray cone angle, and liquid distribution.
                   technique include pressure atomizers and rotary cup or disk                   A fuel spray is usually composed of a wide range of droplet
                   atomizers. An alternative approach is to introduce a high-                 sizes. The biggest droplets in the spray may be 50 or 100
                   velocity gas stream into the liquid to assist atomization. This            times the size of the smallest droplet. The actual sizes of the
                   is generally known as a twin-fluid, air-assist, or airblast                droplets represent the degree of spray fineness. When com-
                   atomizer. In industrial furnaces, the steam-assist or air-assist           paring the fineness of different sprays, it is useful to introduce
                   atomizers are most common.                                                 some “mean droplet size.” In spray combustion, the Sauter
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FIGURE 8.33 Comparison of predicted vs. actual oil and steam flow rates.
              mean diameter (SMD) is usually used to represent the mean                                    well understood that the finer the droplets, the better the
              droplet size. The SMD is the diameter of the droplets whose                                  evaporation. As for droplet size distribution, a more compli-
              ratio of volume to surface area is the same as that of the entire                            cated correlation exists. If one defines the initial size distri-
              spray and defined as:                                                                        bution before evaporation as qo, then after sprays injecting
                                                                                                           into the hot furnace, q will vary with evaporation time. The
                                                                     SMD =
                                                                           ∑n d    i i
                                                                                      3
                                                                                               (8.29)
                                                                                                           general trend is for q to increase with evaporation time, and
                                                                                                           the effect is more significant for a spray having a low value
                                                                           ∑n d    i i
                                                                                      2
                                                                                                           of qo. Usually, for the ignition of a fuel spray, the time required
                                                                                                           to vaporize 20% of the spray mass is important; whereas for
              where ni is the number of droplets in size di . The SMD is well                              combustion efficiency, the time required for vaporization of
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              accepted because total droplet volume and surface are most                                   90% of the spray mass is crucial. Chin et al.37 reported that
              significant in connection with the combustion process.                                       with a given mean droplet size, a spray of large qo would have
                 The range of droplet size variation (or size distribution)                                a low 90% evaporation time and a high 20% evaporation time.
              indicates the degree of spray uniformity. At present, the most                               Thus, from a combustion efficiency viewpoint, it is desirable
              widely used expression for the droplet size distribution is the                              to have a fuel spray with a wide size distribution, but for good
              Rosin–Rammler relationship.36 It is expressed as:                                            ignition performance, it is better to have a narrow size distri-
                                                                                                           bution. It is not possible to know a priori what is the optimal
                                                                   1 − Q = exp − ( D X )                   compromise between combustion efficiency and ignition;
                                                                                           q
                                                                                               (8.30)
                                                                                                           experimental performance will always be required.
              where Q is the fraction of the total volume contained in drop-                                  The cone angle of a spray is usually defined as the angle
              lets of diameter less than D, and X and q are constants. The                                 between tangents to the spray envelope at the oil gun tip. The
              constant X represents the droplet diameter, and the exponent                                 value to be selected for the cone angle of a spray will depend
              q provides a measure of the spread of droplet size. The higher                               on the shape of the furnace and the conditions controlling the
              the value of q, the more uniform is the spray. If q is infinite,                             mixing of air and fuel. For furnaces with a high degree of air
              the droplets in the spray are all the same size. For most                                    movement (i.e., swirl or forced-draft), sprays with a wide
              sprays, the value of q lies between 1.5 and 4.                                               cone angle will give good results. On the other hand, furnaces
                 For a given liquid fuel and a fixed environmental condition,                              with limited air movement (i.e., natural draft) will require
              the mean droplet size (SMD) and the size distribution (q) are                                sprays of narrow cone angle. If a short period of time between
              two major parameters that affect the evaporation rate. It is                                 the beginning of injection and the beginning of combustion
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                                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   tendency to produce high thermal NOx. On the other hand,                                   65
                   large droplets have a poor evaporation rate and provide a                                  60                  Standard Oil Gun
                   favorable condition for soot formation. An inadequate atom-                                55                  New Oil Gun
                   ization system can even reduce combustion efficiency and                                   50
                   result in a low combustion turndown ratio. Therefore, actual                               45
                                                                                                  SMD ( mm)
              showed a high turndown ratio, low steam consumption, short          numerous cycle variations. Thermal performance is mea-
              flame length, and low NOx and particulate emissions. The            sured in terms of heat recovery efficiency (HRE), and is
              pre-filming technique makes the best use of steam momen-            defined as shown below:
              tum, which reduces the steam consumption. The pre-filming
              technique improved the atomization control and generated                                                TCombustion Chamber − TOutlet
              optimal droplets. The droplets have a fast evaporation rate,                               HRE =                                                (8.31)
                                                                                                                       TCombustion Chamber − TInlet
              resulting in high turndown ratios and low particulate emis-
              sions, and appropriate size distribution shortened the flame
                                                                                  The units typically can obtain an HRE of about 95 percent.
              length and reduces the conversion of fuel-bound nitrogen to
                                                                                  For an industry standard 1500°F (820°C) combustion cham-
              NOx, resulting in the reduction of total NOx emissions. The
                                                                                  ber temperature and 100°F (38°C) process inlet temperature,
              net result of this program was a major improvement in oil
                                                                                  a 95 percent HRE would result in an exhaust temperature of
              gun performance. The new gun is shown in Figure 8.36.
                                                                                  about 170°F (77°C). One result of a high HRE is that the
                                                                                  additional cost of regeneration equipment over the cost of a
                                                                                  standard incinerator is typically recovered in about nine
              8.8 REGENERATIVE THERMAL                                            months due to lowered fuel consumption.
                  OXIDIZER (RTO) PERFORMANCE
                                                                                  8.8.2 RTO Model Development
              8.8.1 Introduction
                                                                                                                                                                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                  Figure 8.37 is a schematic of heat transfer in a packed bed
              For over 100 years, regenerators have been utilized in various      between the ceramic material and the air stream. Neglecting
              process industries (steel and glass manufacturing are typical       heat release effects in the air stream, a first law of thermo-
              applications). Applications and performance solution                dynamics analysis for the air results in:
              methodologies are documented in Schmidt.31 More recently,
              in response to air quality concerns, regenerators have been
                                                                                                                       a − w = mcp ( dTa )
                                                                                                                     ˙
                                                                                                                    dQ         ˙                              (8.32)
              applied to incineration of high flow rate, low contamination
              (VOC) streams. Called regenerative thermal oxidizers
              (RTOs), they were first introduced in the early 1970s. Typical      where
              applications have VOC concentrations that vary from the                          d Q̇a-w= Heat transferred from the ceramic to the air
              ppm level to about 1 percent, or have a heating value from                                in distance “dx”
              about 0 to 10 Btu/scf. These streams are typically produced                       ṁ = Mass flow of air
              by processes requiring ventilation, such as paint booths,                        cp = Specific heat of air
              printing, paper mills, and others. Many units are also                           Ta = Air temperature
              equipped with a third bed to increase destruction and removal                    dTa = Change of air temperature during distance
              efficiency (DRE). When the inlet stream is switched to a dif-                             “dx”
              ferent bed, the VOC-laden air is purged out of the bed with
              clean air for a period of time. Depending on design, the purge      Similarly, a first law analysis of the ceramic results in the fol-
              period may be shorter than the cycle time, allowing for             lowing:
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where
                                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                 d Q̇w-a= Heat transferred from the air to the ceramic
                                          in distance “dx”
                                 m = Mass of ceramic
                                 c      = Specific heat of ceramic
                                 Tw = Ceramic temperature
                                 ∂Tw = Change of ceramic temperature during time
                                          “dt”
                                                      dTa hSA(Tw − Ta )
                                                         =
                                                      dx      ˙ p
                                                             mc
                                                                                                     FIGURE 8.39 Summary of saddle data.
                                                      dTw hSA(Ta − Tw )
                                                          =                          (8.34)
                                                                                                        All of the above parameters are readily known, except for
                                                       dt     mc
                                                                                                     the convective heat transfer coefficient. Calibration informa-
                   where                                                                             tion for this parameter was obtained by installing small, type K
                                 Tw      =   Ceramic temperature                                     thermocouple “pairs” into numerous ceramic saddles as illus-
                                 Ta      =   Air temperature                                         trated in Figure 8.38. One of the thermocouples is inside the
                                 ṁ      =   Mass flow of air                                        ceramic, and the other is directly outside the saddle. Temper-
                                 cp      =   Specific heat of air                                    ature variations with time in an actual RTO bed were measured
                                 m       =   Mass of ceramic                                         and deconvoluted to obtain the value of the Nusselt number
                                 c       =   Specific heat of ceramic                                (nondimensional convective heat transfer coefficient) as a
                                 SA      =   Specific surface area of ceramic (area/volume)          function of the local Reynolds number. Typical results are
                                 h       =   Convective heat transfer coefficient                    shown in the graph in Figure 8.39. The differential equations,
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                                                                   Symbols = Experimental
                                                1600               Solid Lines = Numerical
                                                                         30 seconds
                                                                         60 seconds
                                                                        150 seconds
                          Temperature (deg F)
800
400
                                                 0
                                                       0   10        20     30        40     50
                                                                Height (inches)
                                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              Typical graphical results are shown in Figure 8.40. As can be
              seen, excellent agreement was obtained between the model
              and the experimental data. Figure 8.41 shows the John Zink                               FIGURE 8.41 John Zink RTO test unit.
              Test RTO Test Unit.
                 Finally, the model was compared to heat recovery efficien-                               This model is currently managed by Koch-Knight Division
              cies (HREs) measured in the field, with results as follows.                              (a supplier of ceramic packing materials), and has been suc-
                                                                                                       cessfully utilized for numerous RTO bed retrofit applications.
                        Efficiency Comparison                                                          It is employed to estimate HRE changes for different flow
                        1. 8.5 ft of 1.5-in. Berl saddles                                              rates and packing materials when customers want to change
                           Inlet: 450°F, .25 Btu/scf,
                           Combustion chamber: 1600°F
                                                                                                       process conditions.
Predicted Actual
                         4. extensions to classical fluid mechanics (burner pressure               9. Longwell, J.P. and Weiss, M.A., High temperature
                            drops — 8.4)                                                              reaction rates in hydrocarbon combustion, Ind. Eng.
                         5. novel scaling methodologies (flare smokeless operation                    Chem., 47, 1634–1643, 1955.
                            — 8.5)
                                                                                                 10. Beer, J.M. and Lee, K.B., The effect of the residence
                         6. classic turbulence closure methods (flare smokeless oper-
                                                                                                     time distribution on the performance and efficiency of
                            ation — 8.5)
                                                                                                     combustors, Tenth Symposium on Combustion, X,
                         7. two-phase flow analysis (oil gun modeling — 8.6)
                                                                                                     1187–1202, 1965.
                         8. advanced experimental techniques (oil gun development
                            — 8.7)                                                               11. Lutz, A.E. and Broadwell, J.E., Simulation of Chemical
                         9. numerical ordinary differential equation solution tech-                  Kinetics in Turbulent Natural Gas Combustion, GRI
                            niques (oil gun modeling — 8.6, and RTO modeling — 8.8)                  Report 92-0315, Gas Research Institute, 1992.
                                                                                                 12. Lutz, A.E. and Broadwell, J.E., Simulation of Chemical
                      Combustion systems can be, and have been, modeled with                         Kinetics in Turbulent Natural Gas Combustion, GRI
                   good success. The broad range of applications and techniques                      Report 94-0421.1, Gas Research Institute, 1994.
                   reported in this chapter serve to illustrate the power of some
                                                                                                 13. ASHRAE Handbook, 1985 Fundamentals, published by
                   of the various methods. Practicing engineers no longer have
                                                                                                     the American Society of Heating, Refrigeration and
                   to be limited by narrow “rules of thumb.” Rigorous applica-
                                                                                                     Air-Conditioning Engineers, Inc., Atlanta, GA.
                   tion of fundamentals married to the power of modern com-
                   puters can provide insight into equipment operation and yield                 14. Idelchik, I.E., Handbook of Hydraulic Resistance,
                   performance predictions of greater precision than previously                      Hemisphere, New York, 1986.
                   thought possible.                                                             15. Reed, R.D., Furnace Operations, 3rd ed., Gulf Publishing,
                                                                                                     Houston, TX, 1981.
                                                                                                 16. Hottel, H.C. and Hawthorne, W.R., Diffusion in laminar
                   REFERENCES                                                                        flame jets, Third Symp. Combustion and Flame and
                                                                                                     Explosion Phenomena, Williams and Wilkins Company,
                       1. Keenan, J.H. and Neumann, E.P., A simple air ejector,                      Baltimore, MD, 1949.
                          J. Appl. Mech., A-75, 1942.                                            17. Becker, H.A. and Liang, D., Visible length of vertical free
                       2. Ames Research Staff, Equation, Tables and Charts for                       turbulent diffusion flames, Comb. Flame, 32, 115-137,
                                                                                                     1978.
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                          Compressible Flow, NACA Report 1135, 1953.
                       3. Bartok, W. and Sarofim, A., Fossil Fuel Combustion,                    18. Blake, T.R. and McDonald, M., An Examination of
                          A Source Book, John Wiley & Sons, New York, 1991,                          Flame Length Data from Vertical Diffusion Flames,
                          291-320.                                                                   Comb. Flame, 94, 426-432, 1993.
                       4. Kee, R.J., Miller, J.A., and Jefferson, T.H., CHEMKIN:                 19. Glassman, I., 22nd Int. Symp. Combustion, Combus-
                          A General-Purpose, Problem-Independent, Transport-                         tion Institute, Pittsburgh, PA, 1988, 295.
                          able, FORTRAN Chemical Kinetics Code Package,                          20. Gollahalli, S.R. and Parthasaranthy, R.P., Turbulent
                          Sandia Report SAND80-8003, 1980.                                           Smoke Points in a Cross-Wind, Research Testing
                       5. Kee, R.J., Rupley, F.M., and Miller, J.A., The                             Services Agreement No. RTSA 3-1-98, University of
                          CHEMKIN Thermodynamic Data Base, Sandia Report                             Oklahoma, Norman, OK, August 1999.
                          SAND87-8215B, 1990.                                                    21. Schlichting, H., Boundary-Layer Theory, 7th ed.,
                       6. Kee, R.J. and Miller, J.A., A Structured Approach to                       McGraw-Hill, New York, 1979.
                          the Computational Modeling of Chemical Kinetics and                    22. Leite, O.C., Smokeless, efficient, nontoxic flaring,
                          Molecular Transport in Flowing Systems, Sandia                             Hydrocarbon Process., March 1991, 77-80.
                          Report SAND86-8841, 1991.                                              23. Rokke, N.A., Hustad, J.E., and Sonju, O.K., A study of
                       7. Turns, S.R., An Introduction to Combustion, McGraw-Hill,                   partially premixed unconfined propane flames, Comb.
                          New York, 1996.                                                            Flame, 97, 88-106, 1994.
                       8. Press, W.H., Teukolsky, S.A., Vetterling, W.T., and                    24. Kaviany, M., Principles of Heat Transfer in Porous
                          Flannery, B.P., Numerical Recipes in FORTRAN —                             Media, Springer-Verlag, Berlin, 1991.
                          The Art of Scientific Computing, Cambridge University                  25. Kaviany, M., Principles of Convective Heat Transfer,
                          Press, Cambridge, UK, 1992.                                                Springer-Verlag, Berlin, 1994.
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Provided by IHS Markit under license with CRC Press                                     Licensee=Sabic Engineering and Project Mgmt/5951674001, User=Elsheikh, Baher
No reproduction or networking permitted without license from IHS                        Not for Resale, 01/15/2018 21:50:21 MST
     2337-ch08-Frame Page 284 Monday, March 14, 2005 2:54 PM
                26. Chisolm, D., Flow of compressible two-phase mixtures          33. Glarborg, P., Kee, R.J., Grear, J.F., Miller, J.A., PSR: A
                    through sharp-edged orifices, J. Mech. Eng. Sci., 23,             FORTRAN Program for Modeling Well-Stirred Reac-
                    45-48, 1981.                                                      tors, Sandia Report SAND86-8209, 1986.
                27. Chisolm, D., Gas–liquid flow in pipeline systems, in          34. Chung, I.P. and Presser, C., Fluid properties effects on
                    Handbook of Fluids in Motion, Cheremisinoff, N. P.                sheet disintegration of a simplex pressure-swirl atom-
                    and Gupta, R., Eds., Ann Arbor Science, Ann Arbor,                izer, AIAA J. Propulsion Power, in press.
                    MI, 1983.
                                                                                  35. Lefebvre, A.H., Atomization and Sprays, Hemisphere,
                28. Anderson, J.D., Modern Compressible Flow: With                    1989.
                    Historical Perspective, McGraw-Hill, New York, 1982.          36. Rosin, P. and Rammler, E., The law governing the fine-
                29. Chung, I.P., Dunn-Rankin, D., and Ganji, A., Character-           ness of powdered coal, J. Inst. Fuel, 7(31), 62-67, 1933.
                    ization of a spray from an ultrasonically modulated           37. Chin, J.S., Durrett, R., and Lefebvre, A.H., The inter-
                    nozzle, Atomization and Sprays, 7, 295-315, 1997.                 dependence of spray characteristics and evaporation
                30. Bachalo, W.D., Method for measuring the size and                  history of fuel sprays, ASME J. Eng. Gas Turbine
                    velocity of spheres by dual-beam light scatter inter-             Power, 106, 639-644, 1984.
                    ferometry, Appl. Opt., 19, 363-370, 1980.                     38. Chung, I.P., Dunn-Rankin, D., and Ganji, A., Charac-
                31. Schmidt, F.W. and Willmott A.J., Thermal Energy                   terization of a spray from an ultrasonically modulated
                    Storage and Regeneration, Hemisphere/McGraw-Hill,                 nozzle, Atomization and Sprays, 7(3), 295-315, 1997.
                    Washington, D.C., 1981.                                       39. Bachalo, W.D., Method for measuring the size and
                                                                                      velocity of spheres by dual-beam light scatter inter-
                32. McDermott, R. and Henneke, M.R., “High Capacity,
                                                                                      ferometry, Appl. Opt., 19(3), 363-370, 1980.
                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                    Ultra Low NOx Radiant Wall Burner Development,”
                    12th Ethylene Forum, May 11–14, 1999, The Wood-               40. Saad, M.A., Compressible Fluid Flow, Prentice-Hall,
                    lands, TX.                                                        Englewood Cliffs, NJ, 1993.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Chapter 9
                                        Computational Fluid Dynamics (CFD)
                                        Based Combustion Modeling
                                                    Michael Henneke, Joseph D. Smith, Jaiwant D. Jayakaran, and Michael Lorra
TABLE OF CONTENTS
                                                                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                            9.5.1       Case 1: Ethylene Pyrolysis Furnace.......................................................................................... 305
                                                            9.5.2       Case 2: Xylene Reboiler ........................................................................................................... 306
                                                            9.5.3       Case 3: Sulfur Recovery Reaction Furnace .............................................................................. 307
                                                            9.5.4       Case 4: Incineration of Chlorinated Hydrocarbons .................................................................. 309
                                                            9.5.5       Case 5: Venturi Eductor Optimization ...................................................................................... 319
                                               9.6         Future Needs ........................................................................................................................................... 319
                                               9.7         Conclusion .............................................................................................................................................. 319
                                               9.8         Nomenclature .......................................................................................................................................... 321
                                        References ................................................................................................................................................................ 322
                                                                                                                              287
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                   to note at this point that much of CFD is based on fundamental             tools developed by the intermediate user to perform calcula-
                   physics and not on empirical functions. Therein lies CFD’s                 tions but does not add to the software.
                   power to extend to solving new flow problems. Simply stated,                  These three levels of users may also be identified in CFD.
                   the fundamental physical principles underlying CFD, and all                The development engineer is highly specialized and must
                   of fluid dynamics, are as follows:                                         have several years of education in fluid dynamics and CFD.
                                                                                              One may call this first level the CFD specialist. Next, the
                         1. Mass conservation
                                                                                              intermediate user in CFD not only uses the software, but has
                         2. Newton’s second law: F = ma
                                                                                              to have a sound understanding of CFD to extend its capabil-
                         3. Energy conservation
                                                                                              ities and critically evaluate the results it is providing. This
                      These fundamental physical principles can be expressed in               second level may be termed the CFD engineer. The third level
                   terms of mathematical equations, which in their most general               is the end-user, really the customer requiring the CFD. The
                   form are either integral or partial differential equations. CFD            customer knows enough about the capabilities of the technol-
                   is the art of replacing the integrals or the partial derivatives           ogy to be able to identify when a problem may be a candidate
                   in these equations with discretized algebraic forms. These                 for CFD and is able to consult with the CFD engineer about
                   discrete equations are solved to obtain magnitudes for the                 the technical details as well as the benefits and costs. In
                   different variables of interest (pressure, velocity, temperature,          dealing with combustion simulation, the added complexity
                   etc.) in the flow field at discrete points in time and space.              requires the CFD engineer (intermediate level in the example
                      As the following sections will indicate, the equations are              above) to have specialized knowledge to set up complex
                   complex because they have to simultaneously deal with sev-                 three-dimensional CFD simulations and interpret the results.
                   eral interrelated transport mechanisms in great detail. Need-              As such, the skill set required for CFD combustion modeling
                   less to say, they are also difficult to solve. Leading scientists          leaves little or no distinction between a CFD specialist and a
                   have spent the last four decades developing models and                     CFD engineer.
                   approximations in order to quantify some of the terms in the                  CFD first evolved, and still is strongest, in its ability to
                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   equations that cannot be solved for directly. These models                 solve non-reacting flows. A wide variety of practical engi-
                   use a combination of fundamental physics, empirical func-                  neering problems can be solved by analyzing non-reacting
                   tions and proven approximations to both reduce computa-                    flows. For example, the ability to predict the behavior of fluid
                   tional intensity and simplify the task at hand. One such model             flows through various flow passage configurations and con-
                   is the well-known k-ε turbulence model. The k-ε model is                   ditions has promoted the rapid progress in the automotive and
                   discussed in further detail later. Figure 9.1 is a graphical               aircraft industries. However, in more recent decades, model
                   representation of the various elements that constitute CFD.                development work in CFD has naturally extended into react-
                      The CFD solution results in a collection of numbers that                ing flows because of the undeniable need.
                   describe the flow field quantitatively. This matrix of values                 Combustion is a complex reacting flow. Due to the inher-
                   can then be queried for the values of interest, at the locations           ent complexities of combustion and the relatively recent
                   of interest, or, more commonly, represented graphically in                 development of the combustion models, there are some
                   contour or vector plots using color scales.                                limitations in the current state-of-the-art of CFD combus-
                      At this point the reader may have acquired the impression               tion modeling. These limitations are discussed later. Limi-
                   that because of its complexity, CFD is the realm of pure                   tations and youth notwithstanding, currently available
                   research and academics. It is true that this was once the case,            combustion modeling tools can provide tremendous, real-
                   but not any longer. The following analogy is given in an                   world problem-solving power.
                   attempt to illustrate the current status of commercial imple-                 The main intent of this chapter is to describe combustion
                   mentation of CFD.                                                          modeling, and so, for brevity, the discussions of basic CFD
                      Let us consider the analogy of a piece of software, say, a              flow modeling have been kept to a minimum. However, it must
                   spreadsheet software package. One may say that there are three             be kept in mind that reacting flow modeling is merely a super-
                   levels of engineers involved with this spreadsheet software.               set of basic non-reacting flow modeling. In performing a CFD
                   First is the developer who develops the algorithms, software               simulation of a reacting flow, the computations pertaining to
                   architecture, and basic code. Second is the intermediate user              reaction induced changes to fluid properties and composition
                   who uses the basic package to build sophisticated calculations             are performed in conjunction with the same calculations that
                   for his or her specific needs, and in addition, can add modules            would be performed for any non-reacting flow simulation.
                   of custom code or macros to the basic package to extend its                Consequently, reacting flow modeling is considerably more
                   abilities. Third would be the end-user who uses the spreadsheet            resource intensive and challenging. In many cases it is possible
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--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              to use non-reacting flow simulation results to infer the reacting         The reader will find that the emphasis of this chapter is
              flow result. Therefore, frequently, in planning the solution           gas-fired furnaces, with only brief discussion of oil-fired
              approach, the CFD engineer must make a value vs. effort                furnaces. This bias is reflective of the bias in the open liter-
              decision to choose between full combustion modeling and                ature where little discussion of modeling full-scale oil-fired
              non-reacting flow modeling.                                            furnaces can be found. Petrochemical furnaces are typically
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                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   gas- or oil-fired. In the United States, most petrochemical                “stretched out” by fuel staging strategies, it becomes more
                   furnaces are gas-fired, but in other parts of the world, various           and more difficult to control the mixing between the fuel, air,
                   grades of oil are used. The examples discussed here rely on                and furnace gases (products of combustion). In addition, the
                   the ability to accurately simulate turbulent reacting flow with            stability of these ultra low NOx burner flames is problematic.
                   radiant heat transport in an enclosed space.                               With regard to full scale single burner development, it should
                      The reader will quickly observe that industrial-scale com-              be kept in mind that the dominant flow currents in an operating
                   bustion modeling is an immature field (even after years of                 environment may be very different from those in a single
                   scientific effort), and may wonder why industries invest in                burner furnace where the burner was developed. These oper-
                   such efforts. The simple answer is that there is no better                 ational problems, which otherwise could only be tackled by
                   alternative. In the past, experimentalists have tried to simulate          trial and error, can be systematically analyzed and solved
                   the flow patterns inside industrial furnaces using scaled-down             using CFD.
                   plexiglas representations of the geometry. Although the com-                  Herein lies ample justification for the petrochemical indus-
                   plex physics of the real furnace (with combustion, radiation,              try to pursue CFD technology to better understand the per-
                   buoyancy, etc.) are completely neglected, these experimen-                 formance of furnaces. Hopefully, this chapter will illustrate
                   talists have met with some success by being able to relate                 some of the potential value of CFD technology and stimulate
                   cold flow phenomena observed in the plexiglas model to the                 further studies to better understand and extend the perfor-
                   combustion phenomena in a furnace. However, this technique                 mance of CFD models in these applications.
                   has its limitations because a good portion of the expected
                   result is inferred and not based on detailed knowledge of the              9.2.1 CFD Model Background
                   actual physics and chemistry. On the other hand, even with
                                                                                              In the work described below, two CFD software packages
                   its numerous approximations about turbulence, radiation, and
                                                                                              have been used, Fluent and PCGC3. Both codes have evolved
                   chemical reactions, a CFD model provides much more
                                                                                              from similar backgrounds, having been based on the SIM-
                   detailed information about the furnace process than a nonre-
                                                                                              PLE (Semi-Implicit Method for Pressure Linked Equations)
                   acting, scaled-down plexiglas model.
                                                                                              algorithm. SIMPLE solves a set of nonlinear coupled partial
                      Other possible options available to the engineer include
                                                                                              differential equations describing the conservation of mass,
                   either scaled reacting flow or full scale reacting flow experi-
                                                                                              momentum, and energy, as described in more detail below.
                   mentation. Full scale research is very expensive because
                                                                                              Originally, Fluent was designed to simulate basic fluid
                   industrial, multiple burner furnaces cost millions of dollars,
                                                                                              dynamics, while PCGC3 was designed to model pulverized
                   and reacting flow experimentation on a scaled-down model
                                                                                              coal combustion systems. More recently, both codes have
                   has its share of disadvantages. Scaling combustion systems
                                                                                              been extended to address general combustion phenomena
                   from the laboratory scale to the industrial scale is very diffi-
                                                                                              occurring in several diverse systems (e.g., pulverized coal
                   cult. No change scaling is well-understood theoretically. To
                                                                                              combustor, hazardous waste incinerators, petrochemical pro-
                   have “similarity” as a combustion system is scaled, the Rey-
                                                                                              cess heaters, etc.). To illustrate the basis from which CFD
                   nolds number and Damköhler numbers must remain
                                                                                              codes are derived and to illustrate the capabilities and limita-
                   unchanged. This is practically impossible, so some sort of
                                                                                              tions, a brief review of the CFD code PCGC3 is given.
                   incomplete scaling is used. Typically, combustion systems are
                   scaled using a constant-velocity or constant-momentum flux
                   method which does not provide predictable results in all cases.            9.2.2 The CFD Simulation Model
                      Development of burners for petrochemical applications is                Fluent is based on the original work done by Swithenbank
                   usually done experimentally using a single burner at full scale.           and co-workers at the University of Sheffield.65 For more
                   This method frequently produces a burner that performs well                than fifteen years, this code has been developed and extended
                   in the industrial setting; however, multiple burner firing typ-            by engineers at Fluent, Inc. PCGC3 was developed in the
                   ically produces higher NOx emissions than single burner                    Advanced Combustion Engineering Research Center (ACERC)
                   firing.8 Other flame interaction problems can arise as well.               at Brigham Young University in the same time frame by vari-
                   For example, flames from individual burners are occasionally               ous researchers.7,9–18 PCGC3 describes a variety of reactive
                   observed to merge together, causing flame length to increase               and nonreactive flow systems, including turbulent combus-
                   significantly when burner spacing is not sufficient. These                 tion and gasification of pulverized coal. To illustrate the
                   problems are especially significant for ultra-low-NOx burners              model capabilities and limitations, a limited discussion of
                   because these burners typically produce flame lengths signif-              PCGC3 will be presented. A more detailed description is
                   icantly longer than a conventional burner. As the flame is                 given by Smoot and Smith.19
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              9.2.2.1 Transport Equations                                                                                         first decomposing the variable into a mean and a fluctuating
              Nonreactive turbulent gas flow is modeled using the steady-                                                         term and then time-averaging the resulting equation set:
              state form of the Navier-Stokes equations by assuming a con-
              tinuous flow field described locally by the general conserva-                                                                                               Φ=Φ
                                                                                                                                                                            ˜ + φ ′′                               (9.7)
              tion of mass and momentum:20
                                                                                                                                  where Φ̃ = ρΦ ρ and ρφ′′ = 0, but φ ′′ ≠ 0. Applying this
                                                                                       Dρ          v                              decomposition to all variables except density and pressure, the
                                                                                          = −ρ(∇ ⋅ u )                 (9.1)      conservation equations [Eqs. (9.3) through (9.6)] are trans-
                                                                                       Dt
                                                                                                                                  formed into the mass-averaged or Favre-averaged transport
                                                                                    r                                             equations:
                                                                                   Du
                                                                               ρ      = −∇p − ∇ ⋅ τ + ρg               (9.2)
                                                                                   Dt
                                                                                                                                                                            ( )=0
                                                                                                                                                                           ∂ ρ ũ j
                                                                                                                                                                                                                   (9.8)
              where D/Dt is the total (or substantial) derivative. These                                                                                                        ∂x j
              equations can be simplified by assuming steady-state flow of
              a Newtonian fluid. If the fluid is assumed to be incompress-
                                        r
              ible, the dilatation (∇ ⋅ v ) can also be used to further simplify                                                                    (
                                                                                                                                                  ∂ ρ u˜ i u˜ j    ) = − ∂P +
              the equations. An incompressible assumption implies that the                                                                              ∂x j             ∂x i
                                                                                                                                                                                    ∂
                                                                                                                                                                                        (
                                                                                                                                                                                        τ − ρui′′u ′′j + ρ fi
                                                                                                                                                                                   ∂x j ij
                                                                                                                                                                                                              )    (9.9)
              code is applicable to low Mach number flows (i.e., Mach
              number <  ~ 0.3). Given these simplifying assumptions, the
              general conservation or transport equations for mass and                                                                                  (
                                                                                                                                                   ∂ ρ Φu j         )=    ∂  ∂Φ
                                                                                                                                                                                Γφ
                                                                                                                                                                                                  
                                                                                                                                                                                     − ρφ ′′u ′′j  + SΦ
              momentum can be written in Cartesian tensor form as:                                                                                          ∂x j              
                                                                                                                                                                         ∂x j  ∂x j
                                                                                                                                                                                                                  (9.10)
                                                                                                                                                                                                  
                                                                                            ( )=0
                                                                                         ∂ ρu j
                                                                                                                       (9.3)
                                                                                                                                     These constitute the turbulent transport equation set for
                                                                                                                                  nonreacting flow. However, as a result of the averaging pro-
                                                                                            ∂x j
                                                                                                                                  cedure, several additional variables called Favre stresses
                                                                                                                                  ( ρui′′u ′′j ) and Favre fluxes ( ρφ′′u ′′j ) have been introduced.
                                                                            (
                                                                          ∂ ρui u j    ) = − ∂P + ∂τ      ij
                                                                                                               + ρfi   (9.4)
                                                                                                                                  These stresses and fluxes represent the mean-momentum
                                                                                                                                  transport and the mean-scalar transport by turbulent diffusion.
                                                                                ∂x j           ∂xi     ∂x j
                                                                                                                                  Additional ancillary equations are required to solve for these
                                                                                                                                  new turbulent transport variables. These extra equations make
                                                                              ∂u ∂u j              ∂u                          up the “turbulence” model.
                                                                                           + µ B − µ k δ ij
                                                                                                  2
                                                                     τ ij = µ i +                                    (9.5)
                                                                              ∂x j ∂x i        3  ∂x k
                                                                                                                                  9.2.2.2 Turbulence Equations
                                                                                                                                  Although several turbulence models have been proposed
                 Similarly, a transport equation can be written for a con-                                                        (Nallasamy21), the k-ε turbulence model, originally proposed by
              served scalar, Φ, as:                                                                                               Harlow and Nakayama,22 remains the most widely used model to
                                                                                                                                  describe practical flow systems (Speziale23). The k-ε turbulence
                                                                           (
                                                                          ∂ ρΦu j      )=    ∂      ∂Φ                          model employs a modified version of the Boussinesq hypothesis
                                                                                                                                                                   ∂u˜  ∂u˜ j  2         r
                 Turbulent transport is characterized by both time and length                                                                   −ui′′u ′′j = − vt  i +         − (vt ∇ ⋅ v + k )δ ij            (9.11)
              scales, the smallest scales being too small to numerically                                                                                           ∂x j ∂xi  3
              resolve for practical problems. Therefore, Eqs. (9.3) through
              (9.6) are not solved directly, but are transformed by one of                                                        where vt is known as the eddy diffusivity or turbulent viscos-
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              two averaging techniques: Reynolds averaging (most common                                                           ity. This approach allows the molecular viscosity to be
              operation applicable to incompressible flows) or Favre aver-                                                        replaced with the eddy diffusivity, which allows the instanta-
              aging (mass-weighted averaging applicable to compressible                                                           neous transport equations [Eqs. (9.3) through (9.6)] to be
              flows). Favre or mass-weighted averaging is accomplished by                                                         modeled using the mean-value equations [Eqs. (9.8) through
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                   (9.10)]. A disadvantage to this approach is the need to assume                                                           TABLE 9.2 Universal “Empirical” Constants Used in k-ε
                   isotropic eddy diffusivity. However, given this assumption and                                                           Turbulence Model
                   the specific velocity and length scales u′ and l′:                                                                       Constant:              Cµ             C1           C2           σk      σe      κ
                                                                                                                                            Value:                0.09           1.44         1.92          0.9    1.22    0.42
                                                                                          k3 2
                                                  u′ ≈ k                l ′ ≈ Cµ                                  (9.12)
                                                                                           ε
                                                                                                                                            reduce computer storage and runtimes the k-ε turbulence
                   where the turbulent kinetic energy can be defined as:                                                                    model uses wall functions instead. The Van Driest hypothesis
                                                                                                                                            on turbulent flow near walls is used to derive wall functions
                                                                   (                             )
                                                 1      1                                                                                   consistent with the logarithmic law of the wall.24 These func-
                                          k=       u u = u u + u2 u2 + u3u3                                       (9.13)
                                                 2 i i 2 1 1                                                                                tions relate the dependent variables near the wall to those in
                                                                                                                                            the bulk flow field. Boundary conditions used in the turbu-
                      With these definitions, additional transport equations for                                                            lence model are discussed at length by Gillis and Smith.18
                   the turbulent kinetic energy and the dissipation rate of turbu-
                                                                                                                                               Given the turbulence model with the necessary boundary
                   lent kinetic energy, ε, can be written:
                                                                                                                                            conditions, the full equation set can be written (see Tables 9.3
                                                                                                                                            and 9.4). As shown, each equation is conveniently cast into
                         ∂k           1    v                                                                                              a general convection-diffusion form with the off-terms col-
                            + u • ∇k = ∇ •  t ∇k  + G − ε
                         ∂t           ρ     σk                                                                                            lected on the right-hand side, and the specific terms that
                                                                                                                  (9.14)                    depend on the coordinate system selected. Examining the
                                                                       3           3
                                                                                           ∂ui ∂u j                                      θ-momentum equation (see Table 9.4) helps illustrate the
                                                                         ∑∑
                                             v
                                          G= t           2 ∇ 2 u +                        ∂x + ∂x  
                                            σk                                           j      i 
                                                                                                                                            meaning of each term:
                                                                    i =1,i ≠ j     j =1                
                      ∂ε r              v              ε          ε2                                                                                             ∂(ρ˜ uw
                                                                                                                                                                          ˜ ˜)       ∂(rρ˜ vw
                                                                                                                                                                                           ˜ ˜)        ∂(ρ˜ ww
                                                                                                                                                                                                            ˜ ˜)
                         + u • ∇ε = ∇ •  t ∇ε + f1c1G  − f2 c2   (9.15)
                                   1                                                                                                                             r               +                 +
                      ∂t           ρ     σε           k         k                                                                                                 ∂x               ∂r                ∂θ
                                                                                                                                                            ∂  ∂w˜  ∂       ∂w˜  ∂  µ e ∂w˜ 
                   and the eddy diffusivity is defined as:                                                                                             −r       µe  −  rµ e     −           =
                                                                                                                                                            ∂x  ∂x  ∂r      ∂r  ∂θ  r ∂θ 
                                                                       fµ cµ k 2                                                                            ∂p   ∂  µ ∂u˜  ∂  ∂v˜            
                                                             vt =                                                                                       −      +r  e       + µ      − µ e w˜  +
                                                                          ε
                                                                                                                  (9.16)                                    ∂θ   ∂x  r ∂θ  ∂r  e ∂θ          
                      Several key “empirical” constants are required by the k-ε                                                                                       ∂  µ e   ∂w˜     ∂v˜  
                                                                                                                                                                                    + 2r   +
                   turbulence model. The values used by PCGC3 are shown in                                                                                           ∂θ  r   ∂θ       ∂r  
                   Table 9.2.
                                                                                                                                                                   ∂w˜ 1 ∂v˜ w˜  ˜
                      The values shown in Table 9.2 were determined through                                                                                    µe     +     −  − ρvw
                                                                                                                                                                                     ˜ ˜ + rρ˜ gθ                         (9.17)
                                                                                                                                                                   ∂r r ∂θ r 
                   comparison of turbulence and numerical optimization as dis-
                   cussed by Sloan et al.12 These values are similar to those
                   originally proposed by Launder and Spalding,24 but differ                                                                   The first three terms of Eq. (9.17) represent the net rate of
                   slightly from those reported by other researchers (Nallasamy,21                                                          momentum addition to a volume element by convection from
                   Lilleheie et al.,25 Jones and Whitelaw,26). This may be due to                                                           the three direction components. The fourth, fifth, and sixth
                   the fact that these “empirical” constants are based on simple                                                            terms represent the corresponding diffusion terms. When the
                   two-dimensional flows and adjustment may be required to                                                                  turbulence model solves for the individual Reynolds stresses,
                   simulate more complex flows. Regardless, this fact and the                                                               the diffusion terms do not strictly represent molecular diffu-
                   other simplifying assumptions suggest that the flow results                                                              sion, but also include momentum contributions due to the
                   be closely scrutinized when applying any CFD code using                                                                  turbulent motion of the fluid. The first term on the right-hand
                   this turbulence model to simulate complex flow systems.                                                                  side (RHS) of Eq. (9.17) represents the pressure force on the
                      Application of the k-ε turbulence model requires boundary                                                             volume element. All other terms on the RHS of the equation
                   conditions for both k and ε. Boundary layer theory could be                                                              represent either a source or sink term for momentum (e.g.,
                   used to derive the equations for flow near the wall, but to                                                              gravity force, centripetal forces, etc.).
                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                    µe               Cg1µ e      ˜  2  ˜  2  ˜  2 
                                                                                                                                                                                                   ∂f      ∂f      ∂f          ε˜
                                                                                              Mixture fraction variance                            g̃                            −            +   +   +    − Cg 2 ρ g˜
                                                                                                                                                                    σg                σg         ∂x    ∂y    ∂z        k˜
                                                                                                                                                                                                                        
                                                                                                                                                                    µe
                                                                                              Turbulent energy                                     k̃                           G − ρε̃
                                                                                                                                                                    σk
                                                                                                                                                                    µe           ε˜ 
                                                                                              Dissipation rate                                     ε̃
                                                                                                                                                                    σε          k
                                                                                                                                                                                       (
                                                                                                                                                                                 ˜  c1 G − c2 ρε˜    )
                                                                                                              ∂u˜  2  ∂v˜  2  ∂w˜  2   ∂u˜ ∂v˜  2  ∂u˜ ∂w˜  2  ∂v˜ ∂w˜  2 
                                                                                                                                                                                        
                                                                                              Note: G = µ e 2   +   +              +      +  +        +     +     +     
                                                                                                              ∂x    ∂y      ∂z    ∂y ∂x 
                                                                                                                                             
                                                                                                                                                              ∂x ∂x       ∂x ∂y  
                                                                                                                                                                                         
                                                                                                                                                                           ˜  2  ˜  2          2
                                                                                                                                                                                                       
                                                                                                                                  µe                   Cg1µ e r              ∂f     ∂f       1 ∂f˜                   ε˜
                                                                   Mixture fraction variance                       g̃                         −                         +   +   +                 − Cg 2 r ρ g˜
                                                                                                                                  σg                       σg              ∂x    ∂
                                                                                                                                                                                    
                                                                                                                                                                                     r      r ∂θ                    k˜
                                                                                                                                                                                                      
                                                                                                                                  µe
                                                                   Turbulent energy                                k̃             σk
                                                                                                                                                   (
                                                                                                                                              r G − ρε̃             )
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                  µe           ε˜ 
                                                                   Dissipation rate                                ε̃
                                                                                                                                  σε           k
                                                                                                                                                               (
                                                                                                                                               r ˜  c1 G − c2 ρε˜             )
                                                                                   ∂u˜  2  ∂v˜  2  1 ∂w˜ v˜  2   ∂u˜ ∂v˜  2  1 ∂u˜ ∂w˜  2  1 ∂v˜ ∂w˜   w˜  
                                                                                                                                                                          2
                                                                   Note: G = µ e 2   +   +               +  +        +  +          +     +       +    − 2 
                                                                                        ∂x    ∂r      r ∂θ r    ∂r ∂x           r ∂θ ∂x       r ∂θ ∂r r  
                                                                                                                                                                       
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                                    9.2.2.3 Solution Technique                                                                       residual or relative error in the equation. As the solution con-
                                    The equation set shown above is composed of several steady-                                      verges, the residual is forced to zero and the convergence cri-
                                    state, second-order, nonlinear, elliptic partial differential                                    teria is satisfied. Comparison of errors from each of the seven
                                    equations (PDEs). Each of these continuous PDEs is trans-                                        equations is difficult because of the relative magnitude of the
                                    formed into a discrete finite difference equation (FDEs).                                        coefficients (Ai) for each equation. Normalization is also dif-
                                    Examining the equation set, seven equations (mass (1),                                           ficult due to the range of variable and source term magni-
                                    momentum (3), turbulence (2), and conserved scalar (1))                                          tudes within each equation. Without comparison of the
                                    with six unknowns (P, u, v, w, k, ε, and f) describe the turbu-                                  convergence of each equation, it is impossible to determine
                                    lent flow system. Typically, the momentum equations are                                          when “overall” convergence is achieved or which equation is
                                    solved for each velocity component, the turbulence equations                                     slowing the convergence process.
                                    are solved for the respective turbulence variables, and the                                         PCGC3 uses the largest term found in each variable’s FDE
                                    continuity equation is left for the pressure field. A key issue                                  to normalize the respective residual. This truncation term,
                                    in CFD is solving for the pressure gradient source terms,                                        defined as:
                                    found in the momentum equations, because the pressure
                                    fields for enclosed flows are usually unknown. PCGC3 uses                                                                                ψ p = Ap φ p                    (9.19)
                                    variations of the SIMPLE (Semi-Implicit Method for Pres-
                                    sure Linked Equations) algorithm to solve the equations of                                       is guaranteed to exceed the magnitude of the other terms in
                                    motion and continuity in a decoupled fashion, by transform-                                      the FDE because of the requirement of diagonal dominance
                                    ing the continuity equation into a pressure correction equa-
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              prediction. Measured RMS velocities show some disagree-                                                                 to mixing effects. Conversely, the second limit, referred to as
              ment with predicted values. This discrepancy illustrates the                                                            the “fast-chemistry” limit occurs when:
              nonisotropic nature of the fluid mechanics, which are
              assumed isotropic in the turbulence model. However, the                                                                                                           Da → ∞                            (9.23)
              overall agreement between predictions and measurements
              demonstrates the applicability of the PCGC approach to simu-                                                            In this case, the reaction time is very short (fast reactions)
              lating high-temperature reacting flow systems such as com-                                                              relative to the mixing time. Many diffusion flames are
              bustion.                                                                                                                approximated well by the latter limit.
                                                                                                                                         Given the large disparity between short reaction time scales
              9.2.2.6 Modeling Basis                                                                                                  and long mixing time scales, chemical activity may be con-
              The simulation results of reacting flow systems using PCGC                                                              fined to an infinitesimally thin layer, commonly referred to
              software are based on two main assumptions:                                                                             as a “flamelet” or “flamesheet.” 29 This assumption allows
                                                                   1. uniform heat loss from the reactor (no heat loss indicates      flame chemistry to be approximated using local thermody-
                                                                      adiabatic operation)                                            namic equilibrium without significant error. Well-known
                                                                   2. local gas-phase chemistry is micro-mixing-limited and com-      exceptions include NOx and CO chemistry where the reaction
                                                                      position is determined using thermodynamic equilibrium.         time scale and the mixing time scale are of similar magnitude:
                 The first assumption, based on the Crocco similarity,7 is
              valid for cases where thermal diffusion and mass diffusion are                                                                                                   Da ≈ O(1)                          (9.24)
              equal. Some knowledge relative to the total reactor heat load
              and the related heat loss is required. The user must specify                                                               Here, finite-rate chemistry must be coupled with the tur-
              reactor heat loss as a fraction of the total energy in the system.                                                      bulent fluid mechanics calculations. Because turbulent effects
              This fraction is then extracted equally from each discrete com-                                                         must be included in the kinetic scheme, global mechanisms
              putational cell in the overall simulation. Thus, this assumption                                                        are generally used to avoid solving individual transport equa-
              neglects the effect of the temperature gradient that can produce                                                        tions for each specie in a detailed kinetics mechanism.19
              artificially low local temperature regions while yielding appro-
              priate exit temperatures.
                 The second assumption, generally valid for high-temper-                                                              9.3 CFD-BASED COMBUSTION
              ature combustion chemistry, suggests that the homogeneous                                                                   SUBMODELS
              kinetics are sufficiently fast so that gas mixing is controlling.                                                       The current state-of-the-art approaches in modeling petro-
              This is commonly referred to as the “mixed-is-burnt”                                                                    chemical furnaces are described in this section. This is not a
              assumption. If this assumption applies, the local chemistry                                                             comprehensive discussion of all of the available models and
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              can be calculated from general thermodynamic calculations.                                                              algorithms available to the CFD analyst because not all of the
              The validity of this assumption is determined by the relative                                                           models are commonly used in modeling furnaces. While a
              reaction and mixing (convective/diffusive) time scales, as                                                              large number of algorithms and models are studied in aca-
              expressed by the Damköhler number, Da:                                                                                  demic circles, the majority of CFD analyses of large-scale fur-
                                                                                                                                      naces are done with commercial CFD packages. There are
                                                                                            t flow        lt v ′                      currently several commercial CFD packages with very similar
                                                                                     Da =            =                   (9.21)
                                                                                            trxn         lF SL                        modeling capabilities. This section discusses the modeling
                                                                                                                                      approaches used by these codes, as well as several models
              where sL is the burning velocity, lF is the reaction zone thick-                                                        currently being studied at the research level. These “under
              ness, v′ is the turbulence intensity, and lt is the turbulence                                                          development” models will lead to improved combustion
              length scale. Using this relationship, two physical limits have                                                         modeling capability in the future for industrial users.
              been identified.28 The first, referred to as the “frozen” limit                                                            There are a large number of approximations involved in mod-
              occurs when:                                                                                                            eling combustion processes in furnaces. Even in a gas-fired
                                                                                                                                      furnace, the multitude of important physics is daunting. The
                                                                                            Da → 0                       (9.22)       flow in the furnaces is turbulent flow with a very large integral
                                                                                                                                      length scale (the characteristic dimension of the furnace). The
              In this case, the reaction time (trxn) is much larger than the                                                          combustion chemistry in the furnace involves tens to hundreds
              flow time (tflow), and kinetic effects are negligible compared                                                          of chemical species reacting with time scales from less than a
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                   microsecond to several seconds. Radiative transport from a non-            fiable. Pope32 notes that the appeal of LES in nonreacting
                   gray gas (the products of combustion) to the furnace walls and             flows is the expectation that the small scales of turbulence are
                   tubes (with the process fluid flowing inside) whose emissivity             universally related to the large scales. In a reacting flow, there
                   is temperature dependent is the primary mode of heat transfer.             is no similar expectation. LES does have the advantage of
                   The interaction between these physical processes is of consid-             resolving the large-scale structures that challenge the Favre-
                   erable importance. The turbulence/chemistry interaction has                averaged models, but many difficult problems remain to be
                   been well-studied for many years, particularly for non-premixed            addressed before LES will be a useful tool. Bray33 notes that
                   systems. More recently, the interaction between turbulence and             despite the fact that LES faces current difficulties, it will be
                   radiative emission from a non-gray gas has been studied.30                 successfully developed and will be a useful tool for the com-
                      The geometries of the burners used in these furnaces are                bustion modeler. DNS can be categorically neglected for this
                   becoming increasingly complex. The dominant driver in most                 class of problems because the computational demands are far
                   burner designs is NOx reduction, and this leads to burners                 in excess of current computational resources.33,34
                   that are more and more geometrically complex. Added to the
                   geometric complexity is the chemical complexity. The pre-                  9.3.2 Radiation Models
                   ferred strategy for reducing NOx emissions from gas-fired                  Typical petrochemical furnaces consist of a radiant section
                   burners is to use staged fuel systems and to use the fuel jets             and a convection section. These regions are so named
                   to entrain large amounts of the products of combustion into                because of the dominant mode of heat transfer. In the radiant
                   the flame zone. This means that to make a burner with lower                section, refractory surface temperatures can be higher than
                   NOx emissions, one has to make a turbulent flame that is                   2200°F (1200°C). Radiant heat is incident on the process
                   comparatively less stable. For the CFD analyst, modeling the               tubes, both from the high-temperature surfaces and directly
                   stability of a flame or its lift-off height is at present a very           from the flame. Accurate modeling of the heat delivered to
                   imposing problem. For this reason, CFD predictions of NOx                  the process fluid requires an accurate prediction of the radi-
                   emissions from ultra-low-NOx burners are typically poor.                   ant intensity inside the furnace. In addition, accurate predic-
                   However, even if the quantitative NOx predictions are poor,                tion of radiation from the flame is necessary to accurately
                   the qualitative information from a CFD calculation can often               predict emissions. For example, Barlow35 notes that the dif-
                   be very useful. For example, the results of a CFD analysis                 ferent radiation models can affect NOx predictions just as
                   can be used to study the entrainment of cooled furnace gases               much as the different turbulence/chemistry interaction mod-
                   by fuel jets as well as the mixing of the fuel jets with com-              els that were evaluated by him.
                   bustion air. When used by an analyst who has a thorough                       Thermal radiation transport presents a difficult problem
                   knowledge of what real flames do, these quantitative mea-                  because of the number of independent variables. The radiation
                   sures, in conjunction with experimentation, can be used to                 transport equation (RTE) describes radiation transport in
                   solve equipment problems. As an example, McDermott and                     absorbing, emitting, and scattering media. The equation is:36
                   Henneke31 used an axisymmetric CFD model to design turn-
                   ing vanes in a premixed burner. The problem being addressed                                 ∂Iλ                     σ                      r       r r
                   was flashback, which is very difficult to model in a CFD
                   study. However, by combining CFD analysis with knowledge
                                                                                                               ∂s
                                                                                                                   = κ λ Ibλ − β λ Iλ + sλ
                                                                                                                                       4π            ∫ I (s )Φ(s , s)dΩ
                                                                                                                                                     4π
                                                                                                                                                          η    i      i     i   (9.25)
                   computational cost of an LES calculation is usually not justi-             dence of the equation of transfer. The Monte Carlo method
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              takes a much different approach. In the Monte Carlo method,            as a yellow-red brightness in the flame. C2 hydrocarbons and
              individual photons of radiant energy are emitted, reflected,           higher have more tendency to soot, while methane does not
              and absorbed by both opaque surfaces and participating media           normally produce a sooty flame. Soot has a strong impact
              using ray tracing algorithms. This method provides a very ele-         on flame radiation. Emission from soot in flames is fre-
              gant approach to treating non-gray radiation as well as the            quently much larger than the gas radiation emitted by the
              directional dependence of radiation. Its use is limited by its         flame.36 In some applications (oil-firing, in particular), soot
              computational cost.                                                    emissions from the flame are regulated by environmental
                 Siegel and Howell37 and Modest36 provide extensive dis-             agencies. In flaring applications, smokeless (smoke results
              cussion of the solution methods for radiation in participating         from unoxidized soot particles leaving the flame) operation
              media. These texts discuss the accuracy, computational                 is frequently guaranteed by the flare vendor for some range
              effort, and limitations of the various models. The reader              of conditions. In petrochemical applications, the gases flared
              should consult these books for further discussion of these             are a wide range of hydrocarbons, typically ranging in
              solution methods.                                                      molecular weight from 16 to 40. These gases have compo-
                                                                                     nents such as ethylene and acetylene, which are known pre-
              9.3.2.1 Gas Radiation Properties                                       cursors to soot formation. Current CFD codes (limited by
              Molecular gas radiation is an important mode of heat transfer          physical model availability) cannot predict smoking from
              in gas-fired furnaces. Radiative emission from nonluminous             these large, buoyant flare fires, but current LES work in this
              hydrocarbon flames is mostly due to the H2O and CO2 spe-               area appears promising.
              cies present in the products of combustion. Radiation from
              these gases is fairly well-understood, but a rigorous treatment        9.3.2.3 Weighted Sum of Gray Gases
              of this radiation requires significant computational resources.        The weighted-sum-of-gray-gases (WSGG) model 37 provides
              For example, Mazumder and Modest 30 considered ten radia-              formulae for computing the emissivity of a gas volume as a
              tive bands in modeling emission from a hydrocarbon flame.              function of its temperature and partial pressures of CO2 and
              This means that they solved the RTE for ten different intensi-         H2O. The model assumes the gas is a mixture of radiating
              ties. In a large-scale furnace calculation, such a model would         gases that is transparent between the absorption bands. The
              be extremely computationally demanding.                                WSGG model is probably the most widely used method to
                 Quantum mechanics postulates that molecular gases emit              calculate radiation within combustion gases. Alternatives
              and absorb gases only at distinct wavenumbers, called spec-            include band models discussed below. The computational cost
              tral lines. However, in reality, these distinct lines are broad-       of radiation transport can be very high compared to the flow
              ened by several mechanisms, including collision broadening,            solver portion of a simulation because of the large number of
              natural line broadening, and Doppler broadening. These indi-           independent variables in the RTE. In practice, it is usually rea-
              vidual lines are characterized by a line strength and a line           sonable to lag the calculation of the RTE for a number of flow
              width. These lines are caused by quantum transitions in the            solver iterations, with the actual number dependent on the
              vibrational or rotational state of a molecule. Frequently, vibra-      solver in use and stability requirements.
                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              tional and rotational transitions occur simultaneously, leading
              to a tightly clustered array of lines around a given vibrational       9.3.2.4 Turbulence/Radiation Interaction
              transition. This subject is beyond the scope of the present            The turbulence/radiation interaction plays an important role in
              chapter. The intent here is to illustrate the complexity of            predicting the radiative emission from a flame. Unfortunately,
              modeling a radiating gas.                                              none of the available commercial products that we are aware
                                                                                     of attempt to model this interaction. To appreciate the signifi-
              9.3.2.2 Soot                                                           cance of this issue, consider the time-averaged radiative trans-
              The presence of soot in a flame can significantly increase the         port equation in an absorbing/emitting media:
              flame emissivity. Predicting soot formation within a flame is
              very difficult because soot is formed in fuel-rich regions of a
                                                                                                                       ∂Iλ
              flame when the temperature is high. Models such as those of
                                                                                                                       ∂s
                                                                                                                                      (
                                                                                                                           = κ λ I bλ − I λ         )            (9.26)
              Khan and Greeves38 and Tesner et al.39 allow the prediction
              of soot concentrations, but these models are very empirical
              and cannot be expected to provide quantitative results.                Frequently, the time-averaged emission is computed as κ λ Ibλ
                 Soot within a flame is caused by the combustion of hydro-           ≈ κ λ Ibλ , which neglects correlations between κλ and T as well
              carbons under fuel-rich conditions. Soot is visually observed          as the effect of temperature fluctuations on the time-averaged
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                                                                         4
                   emission (i.e., T 4 ≠ T ). Mazumder and Modest 30 discuss the                than 1, the time scale of larger turbulent eddies has become
                   history of the turbulence/radiation interaction.                             smaller than the chemical time scale. In these conditions, the
                                                                                                combustion process is described as a well-stirred reaction
                                                                                                zone. For intermediate values of Da and Ka, combustion is
                   9.3.3 Combustion Chemistry Models                                            said to occur in distributed reaction zones. This term indicates
                   This section discusses the modeling of combustion chemistry                  that the turbulent flow can affect the structure of the reaction
                   in petrochemical applications. The focus of this section is on               zone, in contrast to the flamelet regime, but the turbulent
                   methods for modeling the interaction of turbulence with com-                 mixing is not so fast that the reaction can be considered to
                   bustion chemistry. This is an area of intense current research,              occur under well-stirred conditions.
                   and some of this research is briefly discussed as it pertains to
                   current CFD calculations as well as near-future CFD calcula-                 9.3.3.2 Non-premixed Combustion
                   tions. There are several relatively new turbulence/chemistry
                                                                                                This section discusses modeling of non-premixed combus-
                   interaction models (such as CMC and joint-pdf transport
                                                                                                tion systems. It is implicitly assumed that non-premixed
                   models) that are not currently available for use in any of the
                                                                                                combustion is being discussed, but the notion of non-pre-
                   commercial CFD packages. One can hope that this situation
                                                                                                mixed combustion is an idealization. In real combustion sys-
                   will change soon and these models will be available for more
                                                                                                tems, mixing occurs simultaneously with combustion, and to
                   widespread use.
                                                                                                call the combustion process non-premixed implies that the
                                                                                                combustion takes place much faster than the mixing and that
                   9.3.3.1 Regimes of Turbulent Combustion                                      the flame is not lifted off or near extinction at any location.
                   Damköhler numbers are ratios of a fluid dynamical time scale                 Although it is an idealization, the assumption that combus-
                   to a chemical time scale.40 In a turbulent flow, there are a vari-           tion is non-premixed provides very useful insight into the
                   ety of time scales, such as the integral scale (a convective scale)          combustion processes occurring in real systems.
                   and the Kolmogorov scale (a viscous scale). There are also a
                                                                                                   There are a multitude of computational models for non-
                   variety of chemical time scales because of the many chemical
                                                                                                premixed (also called diffusion) flames. One of the earliest
                   reactions that accompany the combustion of even a simple
                                                                                                models to appear is the eddy-breakup model of Spalding.41
                   molecule such as CH4. Frequently, combustion problems are
                                                                                                The model of Magnussen and Hjertager 42 limits the reaction
                   described as being in the high Damköhler or flamelet regime.
                                                                                                rate according to the local mass fractions of the reactant con-
                   The term “flamelet” is used because of the notion that within
                                                                                                centrations or product concentrations. The ratio of the turbu-
                   a turbulent non-premixed flame, the actual combustion reac-
                                                                                                lent kinetic energy k to the dissipation rate ε is used as the
                   tions take place within small layers termed “flamelets.” These
                                                                                                time scale of the turbulent eddies controlling mixing. These
                   flamelets are so thin that they are not affected by the turbu-
                                                                                                models give physically reasonable predictions of species con-
                   lent motions within the fluid; instead, molecular diffusion
                                                                                                centrations in non-premixed systems, but do not consider the
                   effects dominate and the structure of the reaction zone is that
                                                                                                important effect of turbulent fluctuations on reaction rates. The
                   of a laminar flame (albeit a strained laminar flame).
                                                                                                model can be extended to consider finite-rate chemistry, but
                       Following Bray,33 the Damköhler number is defined as                     the model is a moment model, using the time-averaged tem-
                          tT ku L0                                                              perature in the Arrhenius rate expression. This limitation is
                   Da =       =
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
where
                                                                                                                                                                                           f (1 − f                ) − 1
                                                                           < f > = 0.1, < f ‘2> = 0.1                                                                                α= f                                           (9.31)
                                                                                                                                                                                             f ′2                        
                p( f )
                                                                                               ∫ P( f )df = 1
                                                                                               0
                                                                                                                                            (9.27)      flamelet method, claiming that for most non-premixed flames
                                                                                                                                                        of interest, the flamelet criterion, LR < LK, is violated. Bish
                                                                                                                                                        and Dahm (1995)47 discuss the concept further and attempt
                                                                                                           1                                            to eliminate what they view as a key limitation of the method:
                                                                                           f =
                                                                                                           ∫ fP( f )df
                                                                                                           0
                                                                                                                                            (9.28)      its assumption that the reaction layers are bounded by pure
                                                                                                                                                        fuel on one side and pure oxidizer on the other. Their SDRL
                                                                                                                                                        model is based on the one-dimensionality of the reaction
                                                                                                1                                                       layer, but does not assume the reaction layer to be thin relative
                                                                                               ∫(f −                  ) P( f )df
                                                                                                                       2
                                                                                   f ′2 =                         f                         (9.29)      to the dissipative scales.
                                                                                                0                                                          The classical flamelet model’s assumption that the reaction
                                                                                                                                                        zones are bounded by pure fuel on one side and pure oxidizer
              where the f notation indicates the expectation value                                                                                      on the other is severe in light of the NOx control strategies
              (or ensemble average, equivalent to the time average in a                                                                                 used in practical combustion systems. NOx control is pred-
              statistically stationary flow) of f, and f ′ is the turbulent fluc-                                                                       icated on entraining cooled combustion products into the
              tuation of f. f ′ 2 is the variance of f.                                                                                                 reaction zone, and the proportion of these gases entrained
                 In CFD calculations of large-scale furnaces with non-                                                                                  varies along the length of the flame. The effects of this flue
              premixed burners, the most common combustion model used                                                                                   gas entrainment are to reduce flame temperatures and dilute
              is the assumed-pdf model with equilibrium chemistry. In this                                                                              the reactants. Both of these effects are effective in reducing
              model, the shape of the pdf of f is assumed. The β-pdf is a                                                                               NOx formation.
              commonly used function that describes the probability of
                                                                                                                                                           Research of models of non-premixed combustion continues
              finding the instantaneous fluid to have a specific mixture
                                                                                                                                                        at a fervent pace. Pope’s 32 joint pdf methods appear promising
              fraction. The β-function is given by:
                                                                                                                                                        because they have the ability to treat finite-rate kinetics and
                                                                                                                                                        eliminate the closure problems. Bilger’s 48 conditional
                                                                                                                  (1 − f )
                                                                                                           α −1              β −1
                                                                                                       f                                                moment closure (CMC) method is also a promising model
                                                                                P( f ) =   1                                                (9.30)      for non-premixed combustion modeling. Both of these mod-
                                                                                           ∫                   (1 − f )
                                                                                                        α −1              β−1
                                                                                                   f                            d f                     els are applicable to premixed combustion as well.33 These
                                                                                           0                                                            models are still subjects of active research and academic
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                   debate and are not implemented in any of the commercial                   (selective catalytic reduction) and SNCR (selective noncata-
                   packages of which these authors are aware.                                lytic reduction) to deal with NOx in the stack. Sulfur scrub-
                                                                                             bers are used to reduce SOx levels after the combustion
                   9.3.3.3 Premixed Combustion                                               process.
                   Most petrochemical applications use non-premixed combus-                     A recent paper by Barlow et al.35 evaluated NOx predic-
                   tion because of safety issues in premixed combustion. There               tions using two different models for the turbulence/ chemistry
                   are some important exceptions to this statement, however.                 interaction: the probability density function (pdf) model of
                   One important class of premixed burners in the petrochemi-                Pope (see Pope,32 for example) and the conditional moment
                   cal industry are venturi-based radiant wall burners. These                closure (CMC) model of Bilger.48 The pdf model here is not
                   burners use high-pressure fuel to educt combustion air from               the assumed-pdf discussed above. Instead, the method used
                   the ambient environment. The fuel and combustion air are                  solves for the transport and production of the scalar joint pdf
                   then mixed in a tube prior to the combustion zone.                        and is extremely computationally expensive because a Monte
                      Turbulent premixed flames have proven to be much more                  Carlo solution algorithm must be used. The particularly inter-
                   difficult to model than their non-premixed counterparts.32 In             esting thing about this article is the comment in the introduc-
                   a turbulent, mixing-limited, non-premixed flame, the flame                tion that “a realistic target for agreement between experiment
                   structure is governed by turbulent mixing, a reasonably well-             and prediction might be ±20 to ±30%.” The article goes on
                   understood phenomenon. The ideal turbulent premixed flame                 to discuss how sensitive NOx predictions are to the radiation
                   consists of a flame sheet propagating at some flame speed with            model used. The flame studied in this paper is a simple diluted
                   respect to the fluid around it, which is itself undergoing tur-           hydrogen jet flame. If the most sophisticated turbu-
                   bulent motions. The consequence of superposing flame prop-                lence/chemistry models currently under research applied to a
                   agation and turbulent fluid motions is that premixed flame                very simple flame in a very simple geometry can only be
                   modeling is much more challenging than modeling non-pre-                  expected to yield an accuracy of ±30%, then how accurately
                   mixed flames.34 For this reason, most commercial CFD codes                can one realistically expect to predict NOx emissions in more
                   only include limited support for premixed flame modeling.                 complex flames?
                      The model of Magnussen and Hjertager 42 can be used to
                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                 A number of variants of the classical k-ε model exist. The                                       transfer is to be considered. Thermal boundary conditions are
              classical k-ε model uses a single eddy viscosity in all direc-                                      typically difficult to specify, requiring considerable physical
                                                                                                                  insight into a problem.
              tions. The nonlinear k-ε model by Speziale49 addresses this
              assumption, which is known to be poor even in relatively                                               It is also important to consider the capabilities of the soft-
              simple flows. Another development in k-ε modeling is the                                            ware and computer hardware to be used when specifying a
              Renormalization Group (RNG) k-ε model of Yakhot et al.50                                            problem. For example, if the software’s only turbulence model
                                                                                                                  is the k-ε model, then studying a highly swirling flow (where
              Its performance in complex flows has been promising, so
                                                                                                                  k-ε is known to perform poorly) may generate useless results.
              much so that several of the commercial CFD code vendors
                                                                                                                  On the other hand, if one is aware of this limitation and recog-
              have implemented the RNG k-ε model. The Realizable k-ε                                              nizes that the turbulence model will not accurately predict the
              model51 represents yet another variant recently introduced.                                         decay of the swirl, a conscious decision can be made to neglect
              The advantages and limitations of these turbulence models                                           the portions of the solution that are expected to be poor and
              are discussed in more detail in Veersteeg and Malalasekera.52                                       only use the results that are expected to be meaningful.
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                   ysis does not usually require much effort unless severe con-                                             have the ability to add lighting to a model, which makes the
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                                                                                                                                                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 9.5 Close-up view of primary tip. This view reveals the five fuel jets (indicated by the arrows on the image)
              issuing from the primary tip.
              FIGURE 9.6 Rendered view inside an ethylene pyrolysis furnace showing flow patterns near the premixed radiant wall
              burners. (Courtesy of John Zink Co.)
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                   9.5 APPLICATIONS: CASE STUDIES                                             trates this geometry. In the figure, the process fluid tubes
                   This section describes several applications of CFD in the                  extend from the floor of the furnace to the roof of the radiant
                   petrochemical industry. CFD can address a wide variety of                  section. In the image, only the radiant section is shown
                   problems in this industry. The applications discussed here                 because the radiant section is where the combustion occurs.
                   relate to fired heaters and incinerators. Many other applica-              In a production furnace, the products of combustion would
                   tions (e.g., flare systems) exist in petrochemical plants where            leave the radiant section and enter a convection section where
                   CFD analysis is valuable.                                                  heat is recovered from the products of combustion.
                                                                                                 Figure 9.4 shows a view of the burner geometry. The burner
                   9.5.1 Case 1: Ethylene Pyrolysis Furnace                                   is a staged-fuel gas burner. This example illustrates the dis-
                   Ethylene pyrolysis furnaces produce ethylene and propylene                 parity in scales in a furnace analysis. The furnace has a height
                   from feedstock containing ethane, propane, butane, and                     of approximately 30 ft (9 m), while the fuel orifices can be
                   hydrocarbons including naphtha. The process entails rapidly                as small as 0.0625 in. (1.59 mm) in diameter. The ratio from
                   heating the feedstock for a short time (less than 1 second is              the largest dimension to the smallest is then greater than 5000.
                   typical) to a temperature of about 1600°F (870°C). The feed                In this example, a nonconformal mesh interface was used to
                   gases are then rapidly cooled and subjected to a number of                 reduce the cell requirements.
                   separation processes.                                                         The CFD model of the ethylene pyrolysis furnace includes
                      This section focuses on the modeling of the pyrolysis fur-              detailed information about all of the fuel jets in the burner.
                   nace. Typical pyrolysis furnaces are approximately 10 ft (3 m)             In this particular burner, there are five fuel jets on each of the
                   wide, 30 ft (9 m) long, and 40 ft (12 m) tall. There are two               two primary tips (Figure 9.5) and four fuel jets on each
                   rows of “flat flame” burners that directly fire onto the walls             secondary tip.
                   of the furnace. These fired walls then radiate heat to the                    Figure 9.8 shows the predictions of heat flux to the process
                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   process tubes in the center of the furnace. Figure 9.6 illus-              tubes as a function of height above the furnace floor. These
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                                                                                        0.8
                                                                  Height (normalized)
0.6
0.4
0.2
                                                                                         0
                                                                                              0   0.25             0.5                             0.75                              1
                                                                                                         Heat flux (normalized)
              FIGURE 9.8 Plot showing heat flux to the process tubes in the modeled ethylene furnace as a function of height above
              the furnace floor.
              heat flux profiles drive the design of modern ethylene pyrol-                                       slice of pie. The images shown here are created by rotating
              ysis furnaces. CFD is being used in these designs more and                                          the results about the vertical axis of the furnace.
              more as the results of the model become better validated.
                                                                                                                     The combustion model used in these calculations is an
              These results have not been validated, and it seems unlikely
                                                                                                                  assumed pdf of mixture fraction. Because heat transfer to
              that such data will become available, given the difficulty of
                                                                                                                  the tubes and furnace temperature are known to be impor-
              acquiring data in operating furnaces. Availability of data is a
                                                                                                                  tant, a nonadiabatic mixture fraction table was constructed.
              significant limitation in further use of CFD in petrochemical
                                                                                                                  The independent variables in the lookup table are mixture
              applications, as discussed in the introduction.
                                                                                                                  fraction, variance of mixture fraction, and enthalpy. Radia-
                                                                                                                  tion was modeled using the discrete ordinates model with
              9.5.2 Case 2: Xylene Reboiler                                                                       32 ordinates. All solid surfaces were assumed to be radia-
              This study involves an operating furnace in a refinery. The                                         tively black. Gas radiation properties were computed using
              problem observed in the furnace was that the flames from the                                        the weighted-sum-of-gray-gases method.
              ultra-low-NOx burners were very long and had the potential                                             Figure 9.10 shows a CFD simulation of the burners as they
              to damage process tubes in the top of the furnace. The                                              were originally installed. The figure shows an iso-surface of
              authors have observed this phenomena in several vertical/                                           OH, which is a good indicator of flame shape in this case.
              cylindrical furnaces with ultra-low-NOx burners. The prob-                                          The results reveal that the flames from adjacent burners merge
              lem is related to the flow pattern within the furnace as it does                                    together to produce a single long flame, which is confirmed
              not allow complete mixing of the combustion air with the                                            by observations of the operating furnace. This burner has two
              fuel, but rather distorts the flame prior to burnout.                                               primary fuel tips that fire fuel inside the tile and four second-
                 The geometry of the vertical cylindrical furnace is shown                                        ary fuel tips. The solution to this flame interaction problem
              in Figure 9.9. The small wall around the burners is a reed                                          was to change the burner so that only three of the secondary
              wall and is used to heat the cold flue gases coming from the                                        tips actually fired. The CFD results for that configuration are
              tubes. The periodicity of the furnace was used to simplify the                                      shown in Figure 9.11. This solution was implemented and
              model. The computational model of the vertical/cylindrical                                          tested in the operating furnace and found to yield qualitatively
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              heater consisted of only one burner with periodic boundary                                          the same result: the flames became distinct and burned out at
              conditions applied. This model has the shape of a very tall                                         the appropriate height.
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                   FIGURE 9.9 Geometry of a xylene reboiler. This view shows half (sliced vertically) of the furnace. This view shows only
                   three of the six burners at the bottom of the image.
                   9.5.3 Case 3: Sulfur Recovery Reaction                                  and density at any location in the domain as a function of
                                                                                           mean mixture fraction, mixture fraction variance, and
                         Furnace
                                                                                           enthalpy. Radiation heat transfer was not considered.
                   This case study considers incineration of an acid gas to pro-              Figure 9.12 shows the geometry of the reaction furnace.
                   duce atomic sulfur. The reaction furnace is part of a Klaus             The exterior of the burner is shown in the lower left corner
                   process for sulfur recovery. The composition of the acid gas            of the figure. The furnace is approximately 5 m (16 ft) in
                   is given in Table 9.5. During the course of the study, the              diameter and 16 m (52 ft) in length. It is operated at about
                   burner geometry was modified in order to shorten the flame              60 kPa of positive pressure.
                   and create better mixing within the reaction furnace.                      Figure 9.13 shows the geometry of the burner from the
                      In the present study, the “realizable k-ε” turbulence model          furnace looking at the burner throat. The green swirl vanes
                   is used to simulate the effects of turbulence on transport              swirl the combustion air, while the acid gas is carried in the
                   within the domain. The combustion process in this study is              light blue tube and swirled in the opposite direction by the
                   modeled using the assumed pdf (probability density function)            red swirl vanes. The initial burner geometry did not have the
                   of the mixture fraction model. In this model, a transport               red acid gas swirl vanes or the yellow bluff body in the acid
                   equation for a conserved scalar, called the mixture fraction,           gas passageway.
                   is solved. The effect of turbulence on the chemistry is simu-              The simulations predict all the species concentrations
                   lated by solving a transport equation for the variance of mix-          throughout the burner and furnace. Figure 9.14 shows the pre-
                   ture fraction. An assumed form for the pdf (a beta-pdf, which           dicted O2 mass fractions in the furnace. The plot shows a top-
                   is a common choice in combustion simulations) allows for                down view of the furnace with the O2 mass fractions contoured
                   the creation of a lookup table by assuming that chemical                at the mid-plane. This figure shows that the oxygen does not
                   equilibrium exists. The lookup table gives the composition              penetrate through the combustion zone, but is consumed near
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              FIGURE 9.10 This view shows half of the furnace with unmodified burners. The “blob” in the furnace is the 50-ppm OH
              mole fraction iso-surface. This surface is colored according to its temperature (°F).
              FIGURE 9.11 This view shows half of the furnace with the modified burners firing. The 50-ppm OH mole fraction iso-
              surface is shown as an indicator of the flame shape. This surface is colored according to its temperature (°F).
                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   the burner. The asymmetry observed is due to the swirling flow.           predicted HCl, Cl2, O2, Cl, H outlet concentrations and average
                   The swirling flow creates a swirling flame in the furnace.                exit temperature for each case were recorded and evaluated.
                      Figure 9.15 shows the same view of the furnace, only the                   Although performing actual test burns for the cases iden-
                   mid-plane is colored according to the mole fraction of H2S.               tified during this study would be prohibitively expensive and
                   Figures 9.16 and 9.17 show the stoichiometric iso-surfaces for            time-consuming, the CFD-based incineration model was able
                   the initial and final burner design, respectively. The initial            to assess the impact that various operating conditions might
                   design did a poor job of mixing the acid gas and the combustion           have on HCl/Cl2 products in the effluent gas. From these
                   air. This resulted in a long corkscrewing flame that did not
                   completely burn out, even by the end of the reaction furnace.                              TABLE 9.5 Composition of Acid Gas
                                                                                                              Used in CFD Study
                      Figure 9.18 shows a close-up view of the temperature results
                                                                                                                                                                     Mole
                   near the burner quarl. Temperature contours in the mid-plane                               Component                                              (%)
                   of the burner are also shown, clearly showing the reaction and
                                                                                                                    N2                                                0.005
                   mixing regions. The figure also shows velocity vectors, which                                   CH4                                                0.194
                   reveal the swirl both in the combustion air and acid gas.                                       CO2                                               17.981
                                                                                                                   C2H6                                               0.035
                      Figure 9.19 shows temperature profiles exiting the reaction                                   H2S                                              75.223
                   furnace for the initial and final design. The figure shows that                                 COS                                                0.001
                                                                                                                   H2O                                                6.500
                   the final design produces much better temperature uniformity
                                                                                                                   C3H8                                               0.009
                   exiting the furnace. In this case study, uniformity of the exit-                                C4H10                                              0.003
                   ing temperature profile was critical because this furnace had
                   a waste heat recovery boiler directly downstream of the reac-
                   tion furnace. Nonuniformity in the exiting temperature profile
                   would have produced significant deterioration of the boiler
                   tube metal.                                                               simulations, the estimated range of expected HCl and Cl2
                                                                                             production was:
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 9.12 Exterior geometry of furnace included in model. The surface mesh is also shown.
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 9.13 Burner geometry. The acid swirl vanes are shown in red; the air swirl vanes are shown in green; and the
              start-up fuel tip is shown in purple.
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                   FIGURE 9.14 Oxygen mass fractions viewed from the above the furnace. The contour scale is logarithmic. The mass
                   fractions are contoured on the mid-plane of the furnace.
                   FIGURE 9.15 H2S mole fractions contoured on the mid-plane of the furnace.
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 9.16 Stoichiometric iso-surface colored by temperature (°C) for the initial burner design.
              FIGURE 9.17 Stoichiometric iso-surface colored by temperature (°C) for the final burner design.
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 9.18 Mid-plane of geometry colored by temperature (°C). This view shows the burner quarl and the mixing
                                                                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   regions of acid gas and air.
                   FIGURE 9.19 Temperature profiles (°C) exiting the reaction furnace for the initial (left) and final (right) burner geometries.
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                                                                                                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 9.20 Geometric information describing the thermal oxidizer examined during this study.
              TABLE 9.6 Limiting Cases Considered During                                                    the quarl region. This may be caused by the recirculation of
              RCl Combustion Study                                                                          the cooler gas fed with the secondary feed stream. Also, the
                                                      Excess Oxygen Case                                    abnormally low prediction for gas temperature may be a result
              Organic feed (g/s): 390                                       Inlet temperature (K): 298      of using the uniform reactor heat loss. Finally, a second high-
              Combustion air feed (g/s): 1955                               Swirl number (–)a: 0.313        temperature region (>1600°C or 2900°F) is predicted near the
              Fuel gas feed rate (g/s): 1.4                                 Heat loss (%): 35%
                                                                                                            reactor exit. This is caused by the combustion of remaining
                                                       Stoichimetric Case                                   fuel (organic vents) and by the CO oxidation reaction that
              Organic feed rate (g/s): 390                                  Inlet temperature (K): 298      occurs in this portion of the reactor. CO formation and oxida-
              Fuel gas feed rate (g/s): 1987                                Swirl number (–)a: 0.313        tion (CO2 formation) are shown in Figure 9.20(b). The spatial
              Fuel gas feed rate (g/s): 69.4                                Heat loss (%): 35%
                                                                                                            nature of these predictions is illustrated by the high CO levels
              a   The swirl number is a measure of tangential velocity in the secondary inlet               near the reactor centerline (>4000 ppmv) that decreases toward
                  stream. (–), time-averaged value.
                                                                                                            the reactor walls to essentially zero.
                                                                                                               Finally, predicted values of HCl and Cl2 concentrations
              hand section of plot). Toward the reactor exit, the gas flow is                               are shown in Figure 9.23(a) and (b). Figure 9.23(a) clearly
              fully developed with an exit velocity of about 15 m/s (49 ft/s).                              shows the localized nature of the HCl/Cl2 chemistry in the
                 The predicted local gas temperature is shown in Figure                                     combustion zone. The maximum predicted HCl concentra-
              9.21(b). The quarl region, clearly shown in this plot, has a wall                             tion (20.6 mol%) is located early in the reactor (high-tem-
              temperature of 1000°C (1800°F), which is a preset boundary                                    perature region), compared to a predicted exit HCl
              condition. A high-temperature envelope (>1000°C or 1800°F)                                    concentration of 5.3 mol%. Also, the maximum Cl2 level
              is predicted near the reactor entrance, associated with the initial                           (3600 ppmv) occurs just beyond the reactor quarl wall (low-
              combustion zone. Methane is consumed in this region (see                                      temperature region), compared to an exit Cl2 concentration
              Figure 9.22(a)). A cooler region exists near the reactor wall in                              of 75 ppmv. This indicates how dramatically the local con-
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                                                                  FIGURE 9.21 Predicted centerline profiles for excess air case: (a) axial velocity (m/s), and (b) gas temperature (K) for
                                                                  the furnace section of the thermal oxidizer shown in Figure 9.20. Two distinct combustion zones are illustrated, with an exit
                                                                  temperature of about 1600 K (2400°F).
                                                                  ditions affect the HCl/Cl2 levels. This indicates that those                 quarl section. The flame also expands to the reactor wall and
                                                                  process variables affecting local regions of the reactor can                 has a maximum temperature of approximately 1450°C
                                                                  be used to optimize emissions levels.                                        (2640°F). The low-temperature zone (~400°C or 750°F) in the
                                                                                                                                               quarl section of the reactor and the weak recirculating flow
                                                                  9.5.4.2 Stoichiometric Oxygen Condition                                      zone (~ –1 m/s or –3 ft/s) from the earlier case have also
                                                                  The second case considered here represents an overall sto-                   changed. The gas temperature has increased (>1200°C or
                                                                  ichiometric condition inside the reactor. Predictions from this              2200°F), as has the recirculating velocity (~ –5 m/s or –16 ft/s).
                                                                  case indicated a much lower Cl2 emission and a lower exit                    The expansion of the high-velocity region near the reactor
                                                                  temperature. Therefore, this case was carefully analyzed to                  entrance, the stronger recirculation zone in the quarl region,
                                                                  understand the reasons for the apparent difference. Important                and the increased gas temperature in the quarl region appear
                                                                  input data for this case are also shown in Table 9.6.                        to correlate with the relative amounts of natural gas and organic
                                                                     Although the axial velocity profiles for this case are similar            feeds considered in the respective cases. Two factors can help
                                                                  to those of the first case, there are some interesting differences.          explain the different results from these cases.
                                                                  First, the velocity region near the reactor inlet is higher than                First, while this case represents a near-stoichiometric reac-
                                                                  before, and the recirculation zone near the wall in the quarl                tant mixture, the previous case represents a reactant mixture
                                                                  region is larger than before (see Figure 9.24(a)). Both differ-              with excess air. Examining Figure 9.25(b), the CO oxidation
                                                                  ences are caused by dissimilar temperature profiles throughout               that occurs midway down the reactor (due to the excess oxy-
                                                                  the reactor (see Figure 9.24(b)). First, the early centerline gas            gen and turbulent mixing) is not observed here (see Figure
                                                                  temperature appears to be about the same (~950°C or 1740°F)                  9.25(b)). Thus, higher exit CO levels (>8000 ppmv) are pre-
                                                                  as before. Instead of two distinct high-temperature zones (near              dicted, which results in less energy release from the exother-
                                                                  the entrance and near the exit), in this case a single flame zone            mic oxidation reaction of CO (∆Hr = –282 KJ/mol), which
                                                                  extends from the centerline reactor entrance to just beyond the              leads to a lower exit gas temperature (1398°C or 2548°F).
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              FIGURE 9.22 Predicted centerline profiles for excess air case: (a) methane concentration (ppmv) and (b) carbon monoxide
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              concentration (ppmv) for the furnace section of the thermal oxidizer shown in Figure 9.20. These predictions depict the CO
              formation and oxidation zones common to most combustion processes.
                                                                       206000                                                                                                                                                         76000
                                                                                          178000       146000
                                                                                                                            106000
                                                                                                                                                                                                                                     70000
                                                                                                                                             68000
                                                                                                                                                              50000                                                              58000
                                                                                                                                            34000
                                                                                                                                     20000                                                                       48000
                                                                                                                       10000                                                                42000
                                                                               0                       2000
                                                                                                                                                                                                    100
                                                                                                                                                                          200
                                                                                                               600
                                                                                      2300                                                                        400
                                                                         600                                                                          800
                                                                                                        2400
                                                                                   1300                                                        1300
                                                                                              2500   3200                            2000
                                                                                                                     3600
              FIGURE 9.23 Predicted centerline profiles for excess air case: (a) HCl concentration (ppmv) and (b) Cl2 concentration
              (ppmv) for the furnace section of the thermal oxidizer shown in Figure 9.20. The predicted maximum Cl2 concentration, nearly
              3200 ppmv, occurs in the cooler reactor regions, while an exit Cl2 concentration of about 100 ppmv is predicted.
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                   FIGURE 9.24 Predicted centerline profiles for stoichiometric case: (a) axial velocity (m/s), and (b) gas temperature (K)
                   for the furnace section of the thermal oxidizer shown in Figure 9.20. A single combustion zone with the local maximum
                   temperature of 1450 K (2150°F) and an exit temperature of about 1350 K (1970°F).
                      Another possible cause for the different temperature pro-                                                   1. HCl is favored over Cl2 at higher temperatures
                   files might be related to how and where the organic vents are                                                  2. Lower O2 concentrations favor Cl2
                   burned. In the first case, the organic vents appear to be burned
                   after the methane is consumed. This would lead to two reac-                                              For the initial case, the early maximum of Cl2 can also be due
                   tion zones: one where fuel gas is burned (early flame zone),                                             to poor mixing of O2 with the fuel and the accompanying low
                   and one where organic vents ignite, resulting in a secondary                                             gas temperatures (see Figure 9.21(b)). Similarly, for the present
                   flame. These two high-temperature regions, observed in                                                   case, the global maximum is in the same region, but now the
                   Figure 9.21(b), would lead to a higher exit temperature. In                                              effect of higher gas temperature (favors HCl formation) results
                   either case, the relative amounts of fuel gas and oxidizer are                                           in significantly less Cl2 formation. Thus, both the tempera-
                   critical to the predicted combustion characteristics inside the                                          ture effect and the oxygen effect are important.
                   reactor. More importantly, they dramatically affect the
                                                                                                                               This prediction is most interesting when considering the
                   HCl/Cl2 chemistry in the reactor, as seen in Figure 9.25(a)
                                                                                                                            slight increase in HCl production accompanied by the dra-
                   and (b).
                                                                                                                            matic decrease in Cl2 production. In an attempt to validate this
                      In both cases, the predicted exit HCl concentration is                                                predicted behavior, the two conditions were reproduced in the
                   greater than 5 mol%. However, the predicted exit Cl2 concen-                                             field by adjusting the fuel gas and the organic feed rates
                   tration in Figure 9.26(b) is nearly 2 orders of magnitude less                                           accordingly. The flame inside the thermal oxidizer was visu-
                   than that for the initial case. The same general trends show                                             ally monitored along with the exit gas temperature during the
                   up in both cases: maximum Cl2 concentrations near the outer                                              two tests. For the high RCl feed rate/low fuel-gas feed rate
                   wall just past the quarl section that is reduced to uniform exit                                         scenario, the flame appeared to nearly fill the entire combus-
                   concentrations toward the reactor exit. Two factors explain                                              tion zone of the thermal oxidizer. As the fuel gas was increased
                   the significant differences in the HCl/Cl2 concentrations for                                            while holding the organic feed rate constant, the visible flame
                   the different cases:                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                            front appeared to retreat toward the front of the burner. Also,
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                                                                                                                                                                                                                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 9.25 Predicted centerline profiles for stoichiometric case: (a) methane concentration (ppmv), and (b) carbon
              monoxide concentration (ppmv) for the furnace section of the thermal oxidizer shown in Figure 9.19. Here, the post-flame CO
              oxidation zone, shown in the first prediction, is not present; this results in a predicted exit CO concentration of 9000 ppmv.
                                                                                                 0.3
                                        1.5                        0.9
                                                               3.0                                                             0.6         0.3
                                                                                                                0.9
                                                        0.3                                      3.6
                                                                                    3.0
                                                                         1.5               5.4                          2.7
                                                                                                                                 1.5                0.3
                                                  0.3                                            6.9
              FIGURE 9.26 Predicted centerline profiles for stoichiometric case: (a) HCl concentration (ppmv), and (b) Cl2 concentration
              (ppmv) for the furnace section of the thermal oxidizer shown in Figure 9.20. Dramatically less Cl2 formation is predicted (local
              maximum of 7 ppmv and exit concentrations less than 1 ppmv) in this case due to excess H+ radical present from the increased
              fuel gas.
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                   modeling can be a valuable design tool for combustion equip-                                                 Da (-)                      Damköhler number: ratio of reaction time to
                   ment in the petrochemical industry. It is also clear that CFD has                                                                        flow time
                   not achieved the status of stress analysis in terms of ease of use.                                          f (-)                       General body force in momentum equation
                   In many cases, engineers without advanced understanding of                                                   g (m/s2)                    Gravity
                   the physics do stress analysis of mechanical designs and obtain                                              I (W/m2 sr)                 Radiation intensity
                   reasonable results. With CFD analysis, especially the study of                                               k (m2/s2)                   Turbulent kinetic energy
                   combustion systems, this is not the case. In a typical furnace                                               lF (m)                      Reaction zone thickness used to define
                   model, the science involved is multi-disciplinary, involving heat                                                                        Damköhler number
                   transfer, fluid flow, and combustion kinetics. Understanding                                                 lt (m)                      Turbulent length scale used to define the
                   and interpreting the results of a CFD model require a thorough                                                                           Damköhler number
                   understanding of the underlying physics.                                                                     p (N/m2)                    Pressure
                                                                                                                                r (m)                       Cylindrical coordinate position variable
                                                                                                                                R (-)                       Residual or relative equation error
                   9.8 NOMENCLATURE                                                                                             Sφ                          Source term in conservation equations for
                                                                                                                                                            general property
                   Symbol (Units) Description
                                                                                                                                SL(m/s)                     Laminar flame speed
                   A (-)                                                Difference coefficient composed of convection/          tflow (s)                   Characteristic time for flow to adjust to
                                                                        diffusion terms                                                                     imposed shear
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FIGURE 9.31 Plots of contours of streamfunction with increasing backpressure at the burner tip (left to right).
              trxn (s)                       Characteristic time for chemical species to            ψ (-)                       Dimensionless position variable, difference
                                             react with each other                                                              equation truncation ψ (-); Truncation error
              u (m/s)                        Axial gas velocity                                                                 from difference equation
              v (m/s)                        Radial gas velocity
                                                                                                    Overlines
              v′ (-)                         Turbulence intensity used to define Damköhler
                                                                                                    -                           Time-averaged value
                                             number
                                                                                                    ~                           Favre- or mass weighted-averaged value
              w (m/s)                        Tangential gas velocity
                                                                                                    →                           Vector quantity
              x (m)                          Cartesian coordinate position variable
              y (m)                          Cartesian coordinate position variable                 Superscripts
                                                                                                    ″
                                                                                                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              z (m)                          Cartesian coordinate position variable                                             Fluctuating portion of instantaneous value
              δij (-)                        Kronecker delta                                        o                           Initial value
              ε (m2/s2 s)                    Kinetic energy dissipation rate                        p                           Center point in Difference scheme
              µ (kg/m s)                     Viscosity
                                                                                                    Subscripts
              µb (kg/m s)                    Bulk viscosity
                                                                                                    i,j,k                       Indices representing coordinate directions in
              µe (kg/m s)                    Eddy viscosity                                                                     3-space
              ν (m2/s)                       Eddy diffusivity used in the k-ε turbulence model      φ                           General transport property
              ρ (kg/m3)                      Density                                                E,W,N,S,T,B                 East, West, North,South, Top, Bottom —
              τ (kg/m s2)                    Viscous stress tensor                                                              relative directions in grid
              Γφ(-)                          General transport coefficient for transport
                                             property φ
              Φ (-)                          Conserved scalar                                       REFERENCES
              φ (-)                          General transport property
              Ω (-)                          Represents a solid angle in radiation transport            1. M. Stahlman, Timeline: ten years of successes, SunWorld,
                                             equation                                                      Special Commemorative Issue, Fall 1992.
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                         nitrogen oxide formation in turbulent coal flames, 20th                   Scientific Laboratory, Los Alamos, NM, January 1968.
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                         son of model predictions and experimental data for coal-                  of Turbulence, Academic Press, London, 1972.
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                     13. A.S. Jamaluddin, and P.J. Smith, Prediction of radiative                  July 11, 1989.
                         heat transfer in cylindrical furnaces, Western States Sec-            26. W.P. Jones, and J.H. Whitelaw, Calculation methods
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                         April 1986.                                                               Flame, 48, 1, 1982.
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                27. J.W. MacArthur, Development and implementation of                        on soot formation and combustion, 16th Symp. (Int.) on
                    robust direct finite-difference methods for the solution                 Combustion, The Combustion Institute, 1976.
                    of strongly coupled elliptic transport equations, Ph.D.
                    dissertation, University of Minnesota, May 1986.                 43. P.A. Libby, Introduction to Turbulence, Taylor and
                                                                                         Francis, New York, 1996.
                28. C.K. Law, Heat and mass transfer in combustion: fun-
                    damental concepts and analytical techniques, Progress            44. W.P. Jones and J.H. Whitelaw, Calculation methods for
                    in Energy and Combustion Science, 10, 295-318, 1984.                 reacting turbulent flows: a review, Combustion and
                29. N. Peters, Length scales in laminar and turbulent                    Flame, 48, 1-26, 1982.
                    flames, Prog. Astro. Aero., 35, 155-183, 1991.
                                                                                     45. N. Peters, Progress in Energy and Combustion Science,
                30. S. Mazumder and M.F. Modest, Turbulence radiation                    10, 319, 1984.
                    interactions in nonreactive flow of combustion gases,
                    ASME J. Heat Transfer, 121, 726-729, 1999.                       46. R.W. Bilger, The structure of turbulent nonpremixed
                                                                                         flames, 22nd Symp. (Int.) on Combustion, The Com-
                31. R. McDermott and M.R. Henneke, High capacity, ultra
                    low NOx radiant wall burner development, 12th Ethyl-                 bustion Institute, 1988.
                    ene Forum, May 11-14, 1999, The Woodlands, TX.                   47. E.S. Bish and W.J.A. Dahm, Strained dissipation and
                32. S.B. Pope, Computations of turbulent combustion:                     reaction layer analyses of nonequilibrium chemistry in
                    progress and challenges, 23rd Symp. (Int.) on Combus-                turbulent reaction flows, Combustion and Flame, 100,
                    tion, The Combustion Institute, 1990.                                3, 1995.
                33. K.N.C. Bray, The challenge of turbulent combustion,
                                                                                     48. R.W. Bilger, Conditional moment closure for turbulent
                    26th Symp. (Int.) on Combustion, The Combustion
                                                                                         reacting flow, Physics of Fluids A, 5, 436, 1993.
                    Institute, 1996.
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                    Physical and Chemical Fundamentals, Modeling and                     bulence, J. Fluid Mechanics, 178, 459-478, 1987.
                    Simulation, Experiments, Pollutant Formation, Springer-
                                                                                     50. V. Yakhot, et al., Development of turbulence models for
                    Verlag, Berlin, 1995.
                                                                                         shear flows by a double expansion technique, Physics of
                35. R.S. Barlow, Nitric oxide formation in dilute hydrogen               Fluids A, 4(7), 1510-1520, 1992.
                    jet flames: isolation of the effects of radiation and tur-
                    bulence-chemistry submodels, Combustion and Flame,               51. T.H. Shih, W.W. Liou, A. Shabbir, and J. Zhu, A new
                    117, 4, 1999.                                                        k-ε eddy-viscosity model for high Reynolds number
                36. M.F. Modest, Radiative Heat Transfer, McGraw-Hill,                   turbulent flows — model development and validation,
                    New York, 1993.                                                      Computers Fluids, 24(3), 227-238, 1995.
                37. R. Siegel and J.R. Howell, Thermal Radiation Heat                52. H.K. Versteeg and W. Malalasekera, An Introduction to
                    Transfer, Hemisphere, Washington, D.C., 1992.                        Computational Fluid Dynamics, The Finite Volume
                38. I.M. Khan, and G. Greeves, A method for calculating                  Method, Addison-Wesley Longman Limited, England.
                    the formation and combustion of soot in diesel engines,              1995.
                    in Heat Transfer in Flames, N.H. Afgan and J.M. Beer,
                    Eds., Scripta, Washington D.C., 1974, chap. 25.                  53. R.D. Van Dell and L.A. Shadoff, Relative rates and par-
                39. P.A. Tesner, T.D. Snegiriova, and V.G. Knorre, Kinetics of           tial combustion products from the burning of chloro-
                    dispersed carbon formation, Combustion and Flame,                    benzenes and chlorobenzene mixtures, Chemosphere,
                    17, 253-260, 1971.                                                   13, 177, 1984.
                40. F.A. Williams, Combustion Theory, Addison-Wesley, 1985.          54. R.D. Van Dell and N.H. Mahle, The role of carbon par-
                41. D.B. Spalding, Mixing and chemical reaction in steady                ticle surface area on the products of incomplete com-
                    confined turbulent flames, 13th Symp. (Int.) on Com-                 bustion (PICs) emissions, in Emissions from
                    bustion, The Combustion Institute, 1970.                             Combustion Processes: Origin, Measurement, Control,
                42. B.F. Magnussen and N.H. Hjertager, On mathematical                   Clement, R.E. and Kagel, R.O., Eds., Lewis, Boca
                    modeling of turbulent combustion with special emphasis               Raton, FL, 1990, 93-107.
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                     55. R.D. Van Dell and N.H. Mahle, A study of the products                60. P.H. Taylor and B. Dellinger, Thermal degradation
                         of incomplete combustion and precursors produced in the                  characteristics of chloromethane mixtures, Environ.
                         flame and their post flame modification from the combus-                 Sci. Technol., 22, 438.
                         tion of o-dichlorobenzene in a high resolution laboratory            61. E.R. Altwicker, R. Kumar, N.V. Konduri, and M.S. Milli-
                         thermal oxidizer, Comb. Sci. Tech., 85, 327, 1992.                       gan, The role of precursors in formation of polychloro-
                                                                                                  dibenzo-p-dioxins and polychloro-dibenzofurans during
                     56. C.G. Choudhry, K. Olie, and O. Hutzinger, Mecha-
                                                                                                  heterogeneous combustion, Chemosphere, 20(10-12),
                         nisms in the thermal formation of chlorinated com-
                                                                                                  1935, 1990.
                         pounds including polychorinated dibenzo-p-dioxins,
                         in Chlorinated Dioxins and Related Compounds:                        62. C.M. Young and K.J. Voorhees, Thermal decomposi-
                         Impact on the Environment, Hutzinger, O., Frei, R.W.,                    tion of 1,2-dichlorobenzene. II. Effect of feed mixtures,
                         Merian, E., and Pocchiari, F., Eds., Pergamon Press,                     Chemosphere, 24(6), 681, 1992.
                         Oxford, 1982, 275-301.                                               63. D.P.Y. Chang, W.S. Nelson, C.K. Law, R.R. Steeper,
                                                                                                  M.K. Richards, and G.L. Huffman, Relationships
                     57. W.M. Shaub and W. Tsang, Dioxin formation in incin-
                                                                                                  between laboratory and pilot-scale combustion of some
                         erators, Environ. Sci. Technol., 17, 721, 1983.
                                                                                                  chlorinated hydrocarbons, Env. Prgs., 8(3), 152, 1989.
                     58. J.L. Graham, D.L. Hall, and B. Dellinger, Laboratory                 64. J.D. Anderson, Computational Fluid Dynamics: The
                         investigation of thermal degradation of a mixture of                     Basics with Applications, McGraw-Hill, New York,
                         hazardous organic compounds, Environ. Sci. Technol.,                     1995.
                         20, 703, 1986.
                                                                                              65. J. Swithenbank, A. Turan, and P.J. Felton, Three-
                     59. S.M. Senkan, Thermal destruction of hazardous                            dimensional, two-phase mathematical modeling of gas
                         wastes: the need for fundamental chemical kinetic                        turbine combustors, paper presented at Project SQUID,
                         research, Environ. Sci. Technol., 22, 368, 1988.                         Purdue University, 1978, 1-89.
                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Chapter 10
                                        Combustion Safety
                                                                                                                                          Terry Dark and Charles E. Baukal, Jr.
TABLE OF CONTENTS
                                                                                                                              327
                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              10.1                                                           INTRODUCTION                             activity.12 There are also many potential dangers caused by
              Fires and explosions are a major concern in hydrocarbon and                                             fires and explosions: flying shrapnel, pressure waves from a
              petrochemical plants as the consequences can be very severe                                             blast, high heat loads from flame radiation,13–15 and high
              and very public because of the high volume of flammable                                                 temperatures. All of these can have severe consequences for
              liquids and gases handled in those plants.1,2 The process                                               both people and equipment and may need to be considered
              industries have invested much money in equipment, instru-                                               in minimizing the potential impact of an incident. Fry16
              mentation, training, and procedures to enhance safety. Con-                                             showed how computer models can be used to simulate fires
              siderable progress has been made in the recent past in                                                  and explosions in the chemical process industry to help
              improving the safety of their operations. Unfortunately, the                                            design appropriate measures to prevent these incidents and
              industry is not immune to accidents, as evidenced by explo-                                             how to respond if they should occur. Ogle17 presented a
              sions that have been documented.3,4 Loss Prevention Bulletin                                            method for analyzing the explosion hazard in an enclosure
              has listed all the major incidents worldwide that occurred                                              that is only partially filled with flammable gas. Ogle showed
              from 1960 to 1989 in the hydrocarbon chemical process                                                   that an explosion pressure at the stoichiometric condition is
              industries, including refineries, petrochemical plants, gas                                             approximately 50 times greater than the failure pressure of
              processing plants, and terminals.5 Some of these involved                                               most industrial structures. This obviously can have cata-
              large property losses and deaths. These types of events have                                            strophic results.
              heightened the safety consciousness of these industries to                                                 A number of good books are available on safety in com-
              both prevent such incidents and to effectively handle them if                                           bustion systems and in the chemical and petrochemical indus-
              they should occur.6 The moral, social, economic, environ-                                               tries.18–28 Crowl and Louvar have written a textbook designed
              mental, and legal ramifications of an accident make combus-                                             to teach and apply the fundamentals of chemical process
              tion safety a critical element in plant design and operation.                                           safety.29 King has written a large book on safety for the
              Preventing an incident is definitely preferred to protecting                                            process industries, including the chemical and petrochemical
              people and equipment from the consequences of an incident                                               industries, with specific emphasis on U.K. and European stan-
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              if it occurs.7 While fires and explosions can occur at many                                             dards and regulations.30 Kletz has written an encyclopedia-
              different processes in a plant, this chapter deals specifically                                         format book on safety and loss prevention, containing small
              with the fired heaters section.                                                                         articles on about 400 different topics.31 Nolan has written an
                 There are many factors that can contribute to an accident:8                                          extensive guide to understanding and mitigating hydrocarbon
                                                                                                                      fires and explosions.32 Nolan characterized accidents or fail-
                      •                                                     human error,9,10                          ures into the following basic areas: ignorance, economic con-
                      •                                                     equipment malfunction                     siderations, oversight and negligence, and unusual
                      •                                                     upset plant conditions                    occurrences. However, it is noted that nearly all incidents are
                      •                                                     fire or explosion near the apparatus      preventable. Nolan listed the following principles as the gen-
                      •                                                     improper procedures                       eral philosophy for fire and explosion protection for oil, gas,
                      •                                                     severe weather conditions                 and related facilities:
              In a report prepared by the American Petroleum Institute,11                                                  1. Prevent the immediate exposure of individuals to fire and
              the following causes were noted for 88 incidents that                                                           explosion hazards.
              occurred in refining and chemical unit operations from 1959                                                  2. Provide inherently safe facilities.
              to 1978:                                                                                                     3. Meet the prescriptive and objective requirements of gov-
                                                                                                                              ernmental laws and regulations.
                      •                                                     28% equipment failures                         4. Achieve a level of fire and explosion risk that is acceptable
                      •                                                     28% human error                                   to the employees, the general public, the petroleum and
                      •                                                     13% faulty design                                 related industries, the local and national governments, and
                      •                                                     11% inadequate procedures                         the company itself.
                      •                                                     5% insufficient inspection                     5. Protect the economic interest of the company for both
                      •                                                     2% process upsets                                 short- and long-range impacts.
                      •                                                     13% education                                  6. Comply with a corporation’s policies, standards, and
                                                                                                                              guidelines.
              Uehara (1991) analyzed the risks to Japan’s petrochemical                                                    7. Consider the interest of business partners.
              plants in the event of a large earthquake, which has a stron-                                                8. Achieve a cost-effective and practical approach.
              ger likelihood in Japan due to the high frequency of seismic                                                 9. Minimize space (and weight if offshore) implications.
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                       10. Respond to operational needs and desires.                        Detonation: An explosion that results in a shock wave that
                       11. Protect the reputation of the company.                                moves at a speed greater than the speed of sound in the
                       12. Eliminate or prevent the deliberate opportunities for                 unreacted medium.
                           employee- or public-induced damages.                             Deflagration: An explosion that results in a shock wave that
                                                                                                 moves at a speed less than the speed of sound in the
                                                                                                 unreacted medium.
                   10.2            OVERVIEW                                                 Explosion: A rapid expansion of gases that results in a
                   It is the intent of this section to provide a general education               rapidly moving shock wave.
                   regarding the many hazards associated with the unsafe
                                                                                            Fire: The generic term given to the combustion process.
                   operation of combustion equipment, as well as to discuss the
                   evaluation tools and regulations used to eliminate hazards               Flame: A controlled fire produced by a burner.
                   and unsafe practices from combustion system operation.                   Flammable: In general, a material that is capable of being
                                                                                                easily ignited and burning rapidly.
                   10.2.1 Definitions                                                       Flammable liquid: A liquid having a flash point below
                   Crowl and Louvar,29 Nolan,32 and NFPA 86 33 all provide                      140°F (60°C) and having a vapor pressure below 40
                   extensive definitions of common combustion safety                            psia (2000 mmHg) at 100°F (38°C).
                   vocabulary. Some of the most commonly used definitions                   Flare: A device incorporating a large burner, typically on top of
                   related to fire and explosion phenomena are provided below.                    a large exhaust stack, used for the burning of combustible
                                                                                                  exhaust gases vented from an industrial process.
                   Autoignition: The process through which a flammable                      Flash point (FP): The lowest temperature of a liquid at which
                        liquid’s vapors are capable of extracting enough energy                  it gives off enough vapor to form an ignitable mixture
                        from the environment to self-ignite, without the                         with air immediately over the surface of the liquid.
                        presence of a spark or flame.
                                                                                            Ignition: The process of initiating the combustion process
                   Autoignition temperature: The minimum temperature at                           through the introduction of energy to a flammable
                        which a flammable liquid is capable of autoignition.                      mixture.
                   Autooxidation: The process of slow oxidation, resulting in               Lower flammability limit (LFL): The minimum concentration
                        the production of heat energy, sometimes leading to                     of a combustible gas or vapor in air, below which
                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                        autoignition if the heat energy is not removed from the                 combustion will not occur upon contact with an ignition
                        system.                                                                 source; sometimes referred to as the lower explosive
                   Burner: A device or group of devices used for the                            limit (LEL).
                       introduction of fuel and oxidizer into a furnace at the              Minimum ignition energy (MIE): The minimum energy
                       required velocities, turbulence, and mixing proportion to                required to initiate the combustion process.
                       support ignition and continuous combustion of the fuel.              Overpressure: The pressure generated by an explosive
                   Combustion: A chemical process that is the result of the                     blast, relative to ambient pressure.
                       rapid reaction of an oxidizing agent and a combustible               Shock wave: A pressure wave moving through a gas as the result
                       material. The combustion reaction releases energy                         of an explosive blast. The generation of the shock wave
                       (in the form of heat and light), part of which is used to                 occurs so rapidly that the process is primarily adiabatic.
                       sustain the combustion reaction.                                     Spontaneous combustion: The combustion process
                   Combustible: In general, a material capable of undergoing                     resulting from autooxidation and subsequent
                       the combustion process in the presence of an oxidation                    autoignition of a flammable liquid.
                       agent and a suitable ignition source.                                Upper flammability limit (UFL): The maximum concentration
                   Combustible liquid: A liquid having a flash point at or                      of a combustible gas or vapor in air, above which
                       above 140°F (60°C) and below 200°F (93°C). A                             combustion will not occur upon contact with an ignition
                       combustible liquid basically becomes a flammable                         source; sometimes referred to as the upper explosive
                       liquid when the ambient temperature is raised above                      limit (UEL).
                       the combustible liquid’s flash point.                                Vapor pressure: The pressure exerted by a volatile liquid as
                   Confined explosion: An explosion occurring within a                           determined by the Reid Method (ASTM D-323-58);
                        confined space, such as a building, vessel, or furnace.                  measured in terms of pounds per square inch (absolute).
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                                                                                     fuel source is removed, then the fire goes out. For example, in
                                                                                     a fired heater, the flame goes out when the fuel supply to the
                                                                                     burner is shut off.
                                                                                        The second face of the fire tetrahedron is the oxidizer.
                                                                                     Oxidizers are also present in solid, liquid, and gaseous forms.
                                                                                     Solid oxidizers include metal peroxides and ammonium
                                                                                     nitrate. Liquid oxidizers include hydrogen peroxide, nitric
                                                                                     acid, and perchloric acid. Gaseous oxidizers include oxygen,
                                                                                     fluorine, and chlorine. Oxygen (contained in air) is the oxi-
                                                                                     dizer used in industrial combustion. A fire will be extin-
                                                                                     guished if the oxidizer is removed. This can be done, for
                                                                                     example, by smothering the fire with a blanket or by injecting
                                                                                     an inert gas like N2 or CO2 in and around the fire to displace
                                                                                     the oxidizer. In nearly all cases, the oxidizer is oxygen that
                                                                                     is present in normal air at about 21% by volume. Higher
                                                                                     concentrations of oxygen can cause a flame to burn more
                                                                                     rapidly and violently.34 For example, pure oxygen is used to
                                                                                     enhance many high-temperature industrial combustion pro-
                                                                                     cesses.35 Even metals can burn in pure oxygen. In reality, a
                                                                                     fuel and oxidizer can be in the presence of an ignition source
                                                                                     without combusting, if the mixture is not within the flamma-
                                                                                     bility limits. Table 10.1 provides the flammability limits for
                                                                                     a few common fuels.36 For example, the lower flammability
                                                                                     limit for methane (CH4) in air is 5.0% CH4 by volume, with
                                                                                     the balance being air. The upper flammability limit for CH4
              FIGURE 10.1 Fire tetrahedron.
                                                                                     in air is 15.0% CH4 by volume. If the mixture contains less
                                                                                     than 5.0% or more than 15.0% CH4 by volume, then the
                                                                                     mixture is outside the flammability limits and will not com-
              10.2.2 Combustion Tetrahedron                                          bust at standard temperature and pressure.
              Four basic elements must be present for a combustion                      The third face of the tetrahedron involves an energy source
              process:                                                               to both initiate and sustain the combustion reactions.
                    1.    fuel                                                       Table 10.2 provides the minimum ignition temperature
                    2.    oxidizer                                                   required to initiate the combustion reaction of various gaseous
                                                                                     fuels and oxidizers at stoichiometric conditions and standard
                    3.    heat
                                                                                     temperature and pressure. For example, the minimum ignition
                    4.    reaction chain
                                                                                     temperature for an air/CH4 mixture is 1170°F (632°C). In
              This is usually referred to as the “fire tetrahedron” as shown         normal burner operation, the flame is ignited with either a pilot
              in Figure 10.1. Fire can be defined as a rapid chemical                or a spark igniter. A fire or explosion can be initiated if the
              reaction between a fuel and an oxidant, where there is                 fuel/oxidizer mixture contacts a hot surface, an unintended
              sufficient heat to both initiate and sustain the reaction. The         spark, or static electricity.37 A common fire prevention step is
              typical distinction between a flame and a fire is that a flame is      to eliminate all ignition sources from an area containing
              controlled and desirable, while a fire is uncontrolled and             known fuel sources. After the fire has been initiated, energy
              undesirable. To prevent or extinguish a fire, one or more of           is still required to sustain the flame. That source is normally
              the four legs of the combustion tetrahedron must be removed.           the exothermic heat release from the reaction itself that makes
              Fuel may be in the form of a solid, liquid, or gas. Typical            most flames self-sustaining. A common method of extinguish-
              solid fuels include coal, wood dust, fibers, metal particles,          ing fires is to deluge the area with water, which eventually
              and plastics. Typical liquid fuels include gasoline, acetone,          cools all surfaces below the ignition point. Water is inert,
              ether, fuel oil, and pentane. Typical gaseous fuels include            inexpensive, and has a very high heat capacity relative to other
              natural gas, propane, hydrogen, acetylene, and butane. If the
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                     liquids, which makes it a good extinguishing agent.
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Source: Reed, R.J., North American Combustion Handbook, Vol. I, 3rd ed., North American
                                                                                                                                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                              Manufacturing Company, Cleveland, OH, 1986. With permission.
                                                              Source: Reed, R.J., North American Combustion Handbook, Vol. I, 3rd ed., North American Man-
                                                              ufacturing Company, Cleveland, OH, 1986. With permission.
                      The fourth face of the tetrahedron is a reaction chain to                                    safest, and least costly mode of operation is to prevent the
                   sustain combustion. If any of the steps in the chemical chain                                   occurrence in the first place.
                   reaction are broken, the flame can be extinguished. This is                                        Furnace operators should be carefully trained to monitor
                   the principle behind certain types of fire extinguishers, such                                  and assess the state of tubes as a regular part of the operational
                   as dry chemical or halogenated hydrocarbon. These extin-                                        routine. Every occasion of tube overheating, whether it is
                   guishing agents inactivate the intermediate products of the                                     caused by excessive firing or inadequate cooling action by the
                   flame reactions. This reduces the combustion rate of heat                                       process fluid, should be recorded and assessed to determine
                   evolution, which eventually extinguishes the flame by remov-                                    the likelihood of tube failure. Tubes are normally designed to
                   ing the heat source that makes the flame self-sustaining.                                       last 10 or more years under normal operation, but excessive
                                                                                                                   temperatures can shorten the life of the tubes to a few days or
                                                                                                                   less. Coking in the tubes, if not identified and removed expe-
                   10.2.3 Fire Hazards
                                                                                                                   diently, can cause hot spots on the tubes that will result in
                   10.2.3.1 Heat Damage                                                                            premature failure. Another mechanism for tube failure is
                   One of the most devastating causes of fires in process plants                                   trapped liquid that freezes and expands (see Figure 10.3).
                   is process tube rupture (see Figure 10.2). A furnace tube                                          Prevention of tube failure requires adequate instrumenta-
                   rupture feeds the furnace firebox with an uncontrolled                                          tion and proper furnace design to allow the tube condition to
                   amount of fuel, usually resulting in enormous damage and,                                       be monitored continuously and accurately. Accurate tempera-
                   sometimes, loss of life. As with all safety issues, prevention                                  ture measurement of tubes can be a difficult problem. Ade-
                   is preferred to remediation. Although there are numerous                                        quate instrumentation is expensive, but inadequate
                   safety features of process equipment that can minimize                                          monitoring of tube condition can be dangerous and much
                   damage when a tube failure occurs, the most desirable,                                          more expensive. Temperature measurements of the process
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                   ably cold. All of the piping in the system, except for the piping          tions crew was not fully aware of the hazards of lighting the
                   that was inside the furnace, was steam traced and insulated.               furnace before a flow was established in the piping. The heater
                   Apparently, while the system was not in use, the heat-transfer             tubes had carbon buildup, which restricted the flow of the
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              heat-transfer fluid. There was evidence of thinning of the                          vided for automatic shutdown due to high tube-wall temper-
              tubes in the higher heat flux zones. Because the same tech-                         ature was equipped with a setpoint adjustment that allowed
              nique for thawing the tubes had been used in the past, damage                       the operator to set the temperature at which alarms would
              to the tubes may have accumulated over time.                                        sound and automatic shutdown would occur. For some reason,
                 In this case, several common safety precautions were not                         the setpoint temperature had been set to 1600°F (870°C). The
              observed, including:                                                                alarm temperature should have been set at 830°F (440°C),
                                                                                                  and the shutdown temperature should have been set at 850°F
                      • Adequate instrumentation for measuring the temperature                    (450°C). No reason was ever discovered for the unreasonable
                        of the process fluid in the heater tubes was not available.               and clearly dangerous temperature setting.
                      • The flow recorder for the fuel to the heater was not in
                                                                                                     Accidents occur due to both human error and equipment
                        working order.
                                                                                                  failure. Safety instrumentation is designed to prevent human
                      • An alternative startup procedure, which had apparently
                                                                                                  error from creating a dangerous situation. In this case, the
                        been used on more than one occasion, was not properly
                        documented.
                                                                                                  safety equipment that would have prevented the human error
                                                                                                  from producing a destructive incident had been defeated by
                      • The operators and foreman had failed to adequately
                        oversee the furnace operation during a time in which the                  improper management of the equipment. An appropriate
                        furnace was being used for a purpose for which it was                     safety program that included routine inspection and testing
                        not designed.                                                             of the safety equipment would have caught the improper
                                                                                                  setting and prevented a costly accident.
                 In the second incident reported by Sanders, a similar tube
              failure in a furnace caused about $1.5 million in property                          10.2.3.2 Smoke Generation
              damage and over $4 million in business interruption. The
                                                                                                  Smoke is produced in most uncontrolled fires. Smoke is
              furnace in this incident performed a function similar to the
                                                                                                  generated by incomplete oxidation of the fuel, caused by
              furnace in the aforementioned incident. A combustible heat-
                                                                                                  insufficient mixing of air and the combustible materials.
              transfer fluid was heated in the furnace, then circulated through
                                                                                                  Smoke contains fine particles made primarily of solid carbon.
              gas-phase reactors where solvents were produced. Because the
                                                                                                  In many fires, more people die from smoke inhalation than
              gas-phase reaction is self-sustaining once the operating temp-
                                                                                                  from the heat produced in the fire. There are several potential
              erature is reached, a single furnace was used to provide a start-
                                                                                                  problems with smoke. One problem is elevated temperatures,
              up supply of heated fluid to each of five reactors, one at a
                                                                                                  which can damage the lungs upon inhalation. Another
              time. The piping and operational procedures for the system
                                                                                                  problem is the deposition of smoke particles on the lungs,
              were complex. When a reactor was brought online, the oper-
                                                                                                  which can hinder breathing. Smoke can also block or impair
              ator was to align the valves to allow circulation of the heat-
                                                                                                  vision, which can hinder escape from the fire. Only trained
              transfer fluid from the heater to the reactor being started, start
                                                                                                  personnel with adequate breathing and eye protection should
              the circulation pump, and ignite the heater. On this occasion,
                                                                                                  ever deliberately enter smoky conditions produced by a fire.
              the operator erred by starting the heater while the heater tubes
                                                                                                     Another product of incomplete combustion is carbon mon-
              were isolated from the circulation pump by closed block
                                                                                                  oxide (CO), which is an extremely toxic gas that can quickly
              valves. About 30 minutes after the heater was fired, a water
                                                                                                  kill humans via respiratory failure. Smoke generation is an
              sprinkler system tripped, followed shortly thereafter by a
                                                                                                  indicator of the probability of the presence of CO. CO kills
              heater-flame failure alarm and the rupture of a heat-transfer
                                                                                                  by blocking the ability of hemoglobin in the blood to carry
              fluid pipe in the heater. Heat from the resulting 50-foot flames
                                                                                                  oxygen to the cells in the body. CO has a 300 times greater
              was spread throughout the unit by 10 to 12 mph winds.
                                                                                                  affinity for hemoglobin than does oxygen. Unfortunately, CO
                 The 15-year-old heater had been relatively well-designed
                                                                                                  is colorless and odorless, so one must be careful to avoid
              to prevent an accident of the type that occurred. Automatic
                                                                                                  possible situations where it may be present, such as in smoky
              shutdown equipment and alarms were provided to respond to
                                                                                                  fires. Fortunately, inexpensive CO detectors are available to
              flame failure, high tube-wall temperature, low fuel supply
                                                                                                  warn of its presence (see Figure 10.4).
              pressure, and high heat-transfer fluid pressure. Although
              records indicated that some maintenance of the shutdown
              equipment had been performed, there was no systematic pro-                          10.2.4 Explosion Hazards
              gram of inspection and testing that would have ensured that                         Danger of explosion may come from many sources, but explo-
              the equipment was properly adjusted and would operate                               sions most often occur when the equipment involved is in a state
              dependably in an emergency. The specific system that pro-                           of change such as start-up, shutdown, or maintenance. Because
                                                                                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
(a)
(c)
                     Two principles should be followed when testing for com-                                    10.2.4.2 Explosions in Stacks
                   bustibles in a planned, enclosed maintenance area. First, test-                              Stacks are designed to vent exhaust gases from industrial pro-
                   ing should be done not only in the immediate work area, but
                                                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                cesses. If the gases are combustible, flare stacks are used to
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                   Subsequent attempts to successfully light the burner must                   10.2.5 Process Hazard Analysis (PHA)
                   begin at step 1.                                                            The increasing quantities of hazardous materials used at a
                      In multi-burner furnaces, the operator must be certain to                given plant and the increasing complexity of the plants have
                   follow the designed lighting procedures. In some furnaces,                  made safety analyses both more difficult and more important
                   one burner may be cross-ignited by another burner until all                 because of the possibility of catastrophic accidents.39 There
                   burners are lit. In others, however, the burners are too far                are various types of analyses used for a process hazard analy-
                   apart for one to be safely lit from another. Although the eight             sis (PHA) of the design of equipment and processes, includ-
                   steps given are a general procedure for a typical furnace, the              ing the effects of human error. Qualitative methods include
                   designed lighting procedure provided by the manufacturer of                 checklists, what-if reviews, and HAZOP. Quantitative meth-
                   the furnace should always be followed. The manufacturer of                  ods include event trees, fault trees, and failure modes and
                   the furnace should preapprove any deviation from the                        effect analysis (FMEA). All of these methods require rigor-
                   designed procedure.                                                         ous documentation and implementation to ensure that all
                                                                                               potential safety problems and the associated recommenda-
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                      Obtaining an accurate test with a gas detector can be prob-                    1.   performing or preparing for maintenance
                   lematic when oil is being used as fuel. Vapors in the furnace                     2.   making modifications to furnace design
                                                                                                     3.   human error
                   can condense back into their liquid state in the tube of the
                                                                                                     4.   labeling errors or labeling omissions
                   gas detector, preventing the vapors from reaching the detector
                   head and being recorded. If the vaporization temperature of                 When preparing for maintenance, it is important to remove
                   the fuel oil being used is near the ambient temperature, an                 hazards from the maintenance area, isolate the area and/or
                   accurate reading may be difficult to obtain. Where inaccurate               equipment from operational equipment, and carefully follow
                   readings are suspected, the furnace should be purged until the              maintenance procedures. When modifying the furnace
                   operator is certain that all unburned fuel oil has evaporated               design, even when the modification seems minor, the pro-
                   and has exited the furnace.                                                 posed modification should go through design procedures
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              similar to those used for the original installation of the equip-                                                                      as all associated piping and electrical wiring. The
              ment. Without careful, detailed analysis, it is often difficult to                                                                     standard provides the NFPA’s rules on the design and
              determine how a seemingly small change will affect the                                                                                 selection of burners, fuel piping, fittings, valves, and flue
              entire process.                                                                                                                        ventilation devices.
                 Human error is sometimes caused by inattention or poor                                                                         •    Chapter 5: Safety Equipment and Application — the
              training, but is frequently caused by a deliberate attempt to                                                                          NFPA’s detailed guidance concerning the design of auto-
              shortcut a cumbersome procedure or to make an inconvenient                                                                             mated safety systems (burner management systems) and
                                                                                                                                                     the process conditions (safety interlocks) that should trig-
              piece of equipment more convenient to use. Accidents caused
                                                                                                                                                     ger an automated emergency shutdown (ESD). Require-
              by labeling are frequently the result of out-of-date labeling,
                                                                                                                                                     ments regarding the design and placement of automated
              incorrect labeling, or no labeling at all, thus resulting in the                                                                       fuel gas safety shutoff valves, high and low fuel pressure
              incorrect operation of equipment.                                                                                                      switches, flame supervision, excess temperature limit con-
                                                                                                                                                     trollers, burner pilots, and flame proving devices are
              10.2.6 Codes and Standards                                                                                                             included. Guidelines for burner preignition procedures and
              There is often confusion regarding the differences between                                                                             ignition trials are also well-documented.
              codes and standards. The National Fire Protection Associa-                                                                      2.    NFPA 70: National Electric Code (NEC), updated annually.49
              tion (NFPA)47 defines codes and standards in the following                                                                            NFPA 70 provides “practical safeguarding of persons and
              manner:                                                                                                                               property from hazards arising from the use of electricity.”
                                                                                                                                                    The NEC covers the installation of electric conductors
              Code: A standard that is an extensive compilation of                                                                                  and associated equipment in both the public and private
                  provisions covering broad subject matter or that is                                                                               sectors, including all electrical wiring associated with
                  suitable for adoption into law independently of other                                                                             fired equipment. The NEC is accepted as law throughout
                  codes and standards.                                                                                                              the United States.
              Standard: A document, the main text of which contains                                                                           3.    NFPA 497: Classification of Flammable Liquids, Gases,
                   only mandatory provisions using the word “shall” to                                                                              or Vapors and of Hazardous (Classified) Locations for
                                                                                                                                                    Electrical Installations in Chemical Process Areas, 1997
                   indicate requirements and which is in a form generally
                                                                                                                                                    Edition.50 NFPA 497 recommends steps to determine the
                   suitable for mandatory reference by another standard or
                                                                                                                                                    location, type, and scope of hazards presented by electri-
                   code or for adoption into law.                                                                                                   cal installations in operations where flammable or com-
                                                                                                                                                    bustible liquids, gases, or vapors are processed or handled.
              10.2.6.1 NFPA Codes and Standards                                                                                                     NFPA 497 can be considered a companion standard to
              The National Fire Protection Association (NFPA) publishes a                                                                           NFPA 70: National Electrical Code (NEC).
              variety of codes and standards that address key safety issues                                                                   4.    NFPA 54: National Fuel Gas Code, 1999 Edition.51 NFPA
              related to fire protection. The NFPA Web site48 contains a                                                                            54 sets minimum safety requirements for fuel gas piping
              complete listing and description of all available codes and                                                                           systems, fired equipment, flue-gas ventilation systems,
              standards. However, the following NFPA codes and                                                                                      and related equipment. The NFPA considers fuel gas to
              standards are essential to the safe operation of combustion                                                                           include natural gas fuel, manufactured gas, and liquefied
              equipment.                                                                                                                            petroleum gas (propane/butane). NFPA 54 is an American
                                                                                                                                                    National Standard, appearing as designation Z223.1.
                                                                   1. NFPA 86: Standard for Ovens and Furnaces, 1999 Edition.33               5.    NFPA 58: Liquefied Petroleum Gas Code, 1998 Edition.52
                                                                      NFPA 86 is the primary standard that addresses fire and                       NFPA 58 provides minimum safety requirements for the
                                                                      explosion hazards related to the operation and design of
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                            ning and execution of investigations, origin and root cause          10.3.1 Flammability Characteristics
                                                                            determination, etc.                                                  There are three primary parameters used to measure the
                                                                                                                                                 relative flammability of a substance: the flash point (FP), the
                   10.2.6.2 Additional Standards and Guidelines                                                                                  upper flammability limit (UFL), and the lower flammability
                   In addition to the aforementioned NFPA codes and standards,                                                                   limit (LFL). The flash point is the lowest temperature of a
                   several voluntary standards and guidelines address the design                                                                 liquid at which it evaporates enough vapor to form an
                   and operation of combustion devices. These standards and                                                                      ignitable mixture with the air immediately over the surface of
                   guidelines include:                                                                                                           the liquid. The upper and lower flammability limits bracket
                         1. European Committee for Standardization (CEN). The                                                                    the ignitable concentration range of a gas or vapor mixed
                            multi-national European organization develops standards                                                              with air. Table 10.3 contains experimentally determined flash
                            addressing industrial safety concerns (including fuel han-                                                           point temperatures, as well as upper and lower flammability
                            dling and combustion) for its 19 national member countries.                                                          limits for a wide range of pure component substances in air. 59
                         2. CSA International. The independent, not-for-profit organi-
                            zation is the largest standards development organization in                                                          10.3.1.1 Liquids
                            Canada. The CSA has published many standards addressing                                                              The flash point of pure component liquids is usually
                            combustion and the petroleum refining industry.                                                                      determined experimentally. However, flash point estimates
                         3. American Petroleum Institute (API). The API publishes a                                                              can be obtained for multi-component mixtures containing a
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                            wide variety of standards applicable to combustion pro-                                                              single combustible species if both the flash point and the
                            cesses. API Publication 535: Burners for Fired Heaters
                                                                                                                                                 molar concentration of the combustible component are
                            in General Refinery Service provides guidelines for the
                                                                                                                                                 known. Raoult’s law is used to determine the vapor pressure
                            selection and/or evaluation of burners installed in fired
                                                                                                                                                 of the pure component in the diluted mixture (PSAT), based
                            process heaters.
                                                                                                                                                 upon the vapor pressure of the combustible species at its
                                                                                                                                                 flash-point temperature (p):
                   10.2.6.3 Industrial Insurance Carriers
                         1. Industrial Risk Insurers (IRI). The IRI provides compre-                                                                                                      p = xP SAT                     (10.1)
                            hensive insurance protection for industrial losses due to
                            fire, explosion, hail, lightening, windstorm, smoke, etc.                                                            where
                            The IRI generally requires adherence to NFPA codes and                                                                            PSAT = Vapor pressure of the combustible component
                            standards. However, the IRI often supplements the NFPA                                                                                   present within the mixture
                            with its own requirements.55
                                                                                                                                                              x    = Mole fraction of the combustible component
                         2. Factory Mutual (FM). The Factory Mutual consists of
                                                                                                                                                                     present within the mixture
                            three insurance firms, as well as the Factory Mutual
                                                                                                                                                              p    = Vapor pressure of the pure combustible
                            Research Corporation. The FM Research Corporation
                            conducts reliability and efficiency testing on a variety of
                                                                                                                                                                     component at its flash point
                            equipment. The “FM Approval” label provides consumers
                            with the confidence that equipment bearing that label has                                                            Once the vapor pressure of the combustible component
                            been rigorously tested and found worthy of use in a fire                                                             present within the mixture (PSAT) has been calculated, the
                            protection system. The Factory Mutual Approval Guide                                                                 resulting flash-point temperature of the mixture can be
                            contains a listing of FM-approved items, as well as the                                                              determined using a vapor pressure vs. temperature diagram.29
                            details regarding the application and installation criteria                                                          Figure 10.6 is a vapor pressure vs. temperature diagram for
                            for which the equipment is approved. Similar to the IRI,                                                             light hydrocarbon fuels.60
                            Factory Mutual will often supplement the NFPA codes                                                                     Experimental methods are recommended for flash-point
                            and standards with its own requirements.55                                                                           determination of multi-component mixtures involving two or
                                                                                                                                                 more combustible components.29
                                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                          Octane                                        258                  55                 1.0                     6.5                     403
                                          Pentane                                        97                 –40                 1.4                     8.0                     500
                                          Phenol                                        359                 174                 1.8                     8.6                    1319
                                          Propane                                       –44                –155                 2.1                     9.5                     842
                                          Propylene                                     –54                  —                  2.0                    11.1                     851
                                          Propylene dichloride                          206                  70                 3.4                    14.5                    1035
                                          Styrene                                       293                  88                 0.9                     6.8                     914
                                          Toluene                                       231                  39                 1.1                     7.1                     896
                                          o-Xylene                                      292                  90                 0.9                     6.7                     865
                                          m-Xylene                                      282                  81                 1.1                     7.0                     981
                                          p-Xylene                                      281                  81                 1.1                     7.0                     982
Source: Lide, D.R., Ed., CRC Handbook of Chemistry and Physics, 80th ed., CRC Press, Boca Raton, FL, 1999.
                                                                   ∑
                                                                           yi
                                                                   i =1
                                                                          UFLi                                       Flammability limit data is often provided at process con-
                                                                                                                  ditions of 77°F (25°C) and 14.695 psia (1 atm). However, the
              where                                                                                               flammability limit ranges increase dramatically with temper-
                             LFL = Lower flammability limit for component i                                       ature. The following empirical equations describe the tem-
                                   (vol%)                                                                         perature dependency of the flammability limits in air62:
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                                                                                                       10,000.0
1000.0
                                                                                                                                                                                                                              n-P
                                                                                                         100.0
                                                                                                                                  ylene
                                                                                                                              Prop
                                                                                                                           tan e          utane
                                                                                                                      i-Bu            n-B
                                                                                                          10.0
                                                                                                            0.1
                                                                                                                  0    20        40       60      80           100                                              200                           300   400   500   600
                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
     2337-ch10-Frame Page 342 Tuesday, March 22, 2005 8:18 AM
              TABLE 10.4 Ignition Sources of Major Fires                                                                             Variation in pressure does not significantly affect the LFL
              Electrical (wiring of motors)                                                                             23%       except at very low pressures (below 27 in. w.c. absolute
              Smoking                                                                                                   18%       [50 mmHg absolute]). However, increases in pressure can
              Friction (bearings or broken parts)                                                                       10%       significantly raise the UFL. The following empirical expres-
              Overheated materials (abnormally high temperatures)                                                        8%
                                                                                                                                  sion describes the pressure dependence of the UFL in air63:
              Hot surfaces (heat from boilers, lamps, etc.)                                                              7%
              Burner flames (improper use of torches, etc.)                                                              7%
              Combustion sparks (sparks and embers)                                                                      5%
                                                                                                                                                     UFL P = UFL1 atm + 20.6(log10 P + 1)                     (10.6)
              Spontaneous ignition (rubbish, etc.)                                                                       4%
              Cutting and welding (sparks, arcs, heat, etc.)                                                             4%
              Exposure (fires jumping into new areas)                                                                    3%       where
              Incendiarism (fires maliciously set)                                                                       3%
                                                                                                                                               UFLP            = Upper flammability limit at pressure P
              Mechanical sparks (grinders, crushers, etc.)                                                               2%
              Molten substances (hot spills)                                                                             2%                                      (vol%)
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              Chemical action (processes not in control)                                                                 1%                    UFL1 atm        = Upper flammability limit at 1 atm
              Static sparks (release of accumulated energy)                                                              1%                                      (vol%)
              Lightning (where lightning rods are not used)                                                              1%
                                                                                                                                               P               = Actual process pressure (MPa, absolute)
              Miscellaneous                                                                                              1%
              Source: National Safety Council, Accident Prevention Manual for Industrial                                             The presence of pure oxygen as the oxidizing agent (as
              Operations, National Safety Council, Itasca, IL, 1974.
                                                                                                                                  opposed to air) has very little effect on the LFL, as the oxygen
              TABLE 10.5 Minimum Ignition Energies Required for                                                                   concentration of air is in excess of that required for combus-
              Common Fuels                                                                                                        tion at the LFL. However, the UFL of most hydrocarbon fuels
                                                                                       Pressure   Minimum Ignition Energy         in pure oxygen is increased by approximately 45 to 55% when
                                                                   Compound             (atm)             (mJ)                    compared to the equivalent UFL in air.64 Table 10.1 compares
              Methane                                                                     1                   0.29                flammability limits of several common fuels using both air
              Propane                                                                     1                   0.26                and pure oxygen as the oxidizing agent.36
              Heptane                                                                     1                   0.25
              Hydrogen                                                                    1                   0.03
              Propane (mol%)                                                                                                      10.3.2 Ignition Control
                [O2/(O2 + N2)] × 100%                                                                                             Ignition is the process through which combustion is
                  1.0                                                                     1                   0.004
                                                                                                                                  initiated, and occurs when a flammable mixture of fuel and
                  0.5                                                                     1                   0.012
                  0.21                                                                    1                   0.15                oxidizer comes in contact with a suitable ignition source.
                  1.0                                                                     0.5                 0.01                The minimum ignition energy is the minimum energy
              Source: Zabetakis, M.G., AIChE-Inst. Chem. Engr. Symp., Ser. 2, Chem Engr.                                          required to initiate combustion, and can be obtained through
              Extreme Cond. Proc. Symp., American Institute of Chemical Engineers, New                                            a variety of sources: direct contact with a spark or flame,
              York, 1965, 99–104.                                                                                                 static electricity, autoignition, autooxidation, and adiabatic
                                                                                                                                  compression. Table 10.4 lists the ignition sources tabulated
                                                                                                                                  from over 25,000 fires by the Factory Mutual Engineering
                                                                                        1 − 0.75(T − 25)                        Corporation.65 Table 10.5 contains the minimum ignition
                                                                         LFL T = LFL 25                             (10.4)
                                                                                              ∆HC        
                                                                                                                                  energy (MIE) required for several common fuels.66
                                                                                                                                     In general, the MIE decreases with pressure and increases
                                                                                        1 + 0.75(T − 25)                        with inert gas concentration. MIEs for hydrocarbon fuels are
                                                                         UFL T = UFL 25                             (10.5)      relatively low when compared to ignition sources. Walking
                                                                                              ∆HC        
                                                                                                                                  across a rug can produce an electrostatic discharge of 22 mJ.
              where                                                                                                               An internal combustion engine’s spark plug can generate an
                                                                     ∆HC = the heat of combustion (kcal/mole)                     electrical discharge energy of 25 mJ.29
                                                                     LFLT = lower flammability limit at temperature, T               Direct contact with a spark or flame is a very common
                                                                             (vol%)                                               energy source often used for the intentional ignition of indus-
                                                                     LFL25 = lower flammability limit at 25°C (vol%)              trial combustion equipment. For process burners in fired heat-
                                                                     UFLT = upper flammability limit at temperature, T            ers, the ignition source may be in the form of a small premixed
                                                                             (vol%)                                               pilot burner, a portable electrostatic ignitor, or a portable
                                                                     UFL25 = upper flammability limit at 25°C (vol%)              premixed gas torch. Flare burners typically use a continuous
                                                                     T     = actual process temperature (°C)                      flare pilot that is ignited by a flame front generator (FFG)
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FIGURE 10.7 Ethylene oxide plant explosion caused by autoignition. (Courtesy of Gulf Publishing.46)
                   (see Chapter 20). An FFG is a custom-built device that sends                Kletz46 discusses several case histories of fires and explosions
                   a small burst of flame to the top of a tall flare stack, allowing           ignited by electrostatic discharge.
                   the operator to ignite the pilot burner from ground level. FFG                 Autoignition is the process through which a flammable
                   devices have been proven to safely ignite flare pilot burners               liquid’s vapors are capable of extracting enough energy from
                   a distance of 1 mile away from the flame front generator.                   the environment to self-ignite, without the presence of a spark
                   Regardless of the source, all ignition devices should be                    or flame. The ability of a flammable liquid to autoignite is
                   designed for the particular equipment and the specific set of               characterized by the liquid’s autoignition temperature. Table
                   process conditions for which they will be used.                             10.3 contains common autoignition temperatures for a variety
                                                                                               of flammable liquids. Autoignition temperatures depend on a
                      Static electricity is a common ignition source of fires and              number of factors, including fuel vapor concentration, fuel
                   explosions in chemical processing plants. An electrostatic                  volume, system pressure, presence of catalytic material, and
                   charge is formed whenever two dissimilar surfaces move rel-
                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                               flow conditions. Because the autoignition temperature is a
                   ative to each other. A relevant example is liquid flowing                   function of so many process variables, it is important that the
                   through a pipeline, moving past the walls of the pipe. In this              autoignition temperature is determined experimentally under
                   example, one charge is formed on the pipe surface, while                    the conditions that most closely simulate actual process con-
                   another equal but opposite charge is formed on the surface of               ditions.29 Figure 10.7 shows the wreckage of an ethylene
                   the moving liquid. When the voltage becomes strong enough,                  oxide plant explosion caused by autoignition leading to fire
                   the static electricity will discharge in the form of an electrical          and explosion.46
                   spark. The spark can ignite combustible and flammable mate-                    Autooxidation is the process of slow oxidation, resulting
                   rials present. Crowl and Louvar29 and the NFPA67 present                    in the production of heat energy, sometimes leading to autoi-
                   detailed explanations of design fundamentals for the preven-                gnition if the heat energy is not removed from the system.
                   tion of fires and explosions due to electrostatic discharge.                The most common example of this potential ignition process
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              TABLE 10.6 Benefits of a Successful Process Knowledge                              flame speed (speed with which the flame front burns back
              and Documentation Program                                                          towards the fuel source). To prevent flashback in premixed
              • Preserves a record of design conditions and materials of construction for        burners, flame arrestors are commonly used.68 The primary
                existing equipment, which helps ensure that operations and maintenance           applications for flame arrestors are to protect people and
                remain faithful to the original intent
                                                                                                 equipment from flashbacks, fires, and catastrophic explosions.
                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              • Allows recall of the rationale for key design decisions during inception,
                design, and construction of major capital projects, which is useful for a        A flame arrestor is designed to stop (extinguish) a flame or
                variety of reasons (i.e., an aid in future projects and modifications)           explosion from further propagation past the arrestor. It is a
              • Provides a basis for understanding how the process should be operated and
                why it should be run in a given way
                                                                                                 special type of heat exchanger that cools the flame, thus
              • Offers a “baseline” for use in evaluating a process change                       removing one of the legs of the fire tetrahedron. Time is
              • Records accident/incident causes and corrective actions and other operating      required to dissipate the heat, so the design and construction
                experience for future guidance
                                                                                                 of the quenching media are important.69 In fuel piping sys-
              • Protects the company against unjustified claims of irresponsibility and
                negligence                                                                       tems, the arrestor must be perforated or porous to allow gas
              • Retains basic research and development information on process chemistry          flow through it. The technique often used in flame arrestors is
                and hazards to guide future research effort                                      to cool the propagating flame or explosion enough to extin-
              Source: Center for Chemical Process Safety, Plant Guidelines for Technical         guish the fire. Thermal mass, usually in the form of metal, is
              Management of Chemical Process Safety, rev. ed., American Institute of
                                                                                                 used to extract enough energy from the reacting gases that the
              Chemical Engineers, New York, 1995. With permission.
                                                                                                 flame can no longer be supported and is extinguished. Many
                                                                                                 different arrestor designs are available, including gauzes,
              is when rags saturated with oils are discarded or stored in a                      perforated plates, expanded metal, sintered metal, metal foam,
              warm area. If allowed to autooxidize, the increased temper-                        compressed wire wool, loose filling, hydraulic arrestors,
              atures can result in autoignition of the rags, and a damaging                      stacked plate, and crimped ribbon.70
              fire or explosion can result. Relatively high-flash-point mate-
              rials are the most susceptible to the autooxidation process,
                                                                                                 10.3.4 Safety Documentation and
              while low-flash-point materials can often evaporate without                               Operator Training
              ignition. Fuel leaks that saturate thermal insulation or other                     Safety documentation and operator training provide the back-
              absorbent materials should be isolated immediately, and the                        bone of a strong safety program, and are absolutely essential
              contaminated absorbent should be removed promptly and                              in order to maintain a safe combustion working environment.
              discarded in a suitable manner.64                                                  Table 10.6 illustrates some of the benefits of a successful pro-
                 Adiabatic compression of combustible or flammable mate-                         cess documentation program.71
              rials can result in high temperatures, which in turn may result                       The AIChE Center for Chemical Process Safety publishes
              in autoignition of the compressed fuel. Examples of adiabatic                      several titles that address implementation of process safety
              compression include internal combustion engines and gas                            documentation.71–74 Safety documentation for combustion-
              compressors. The temperature rise associated with the adia-                        related processes includes design information, process hazard
              batic compression of an ideal gas can be determined using                          analysis (PHA) reports, standard operating procedures, and
              thermodynamic relationships:                                                       training documentation. Feedback from each of theses docu-
                                                                                                 mentation elements are linked together as part of a plant’s
                                                                     ( γ −1)
                                                       T2  P2        γ                         overall process safety program. Figure 10.8 visually describes
                                                         =
                                                       T1  P1 
                                                                                   (10.7)        the documentation feedback linkage suggested by the AIChE.72
Feedback
Feedback
                   FIGURE 10.8 Safety documentation feedback flow chart. (Adapted from Center for Chemical Process Safety, Guidelines
                   for Process Safety Documentation, American Institute of Chemical Engineers, New York, 1995.)
                                                                         – safe operating ranges for process conditions (flow,             10.3.4.3 Standard Operating Procedures (SOPs)
                                                                           temperature, pressure, compositions, etc.)                      Day in and day out, standard operating procedures (SOPs)
                                                                         – the known hazardous effects of deviation from the               provide operators with clear, detailed, sequenced instructions
                                                                           stated safe operating conditions                                regarding the safe operation and maintenance of combustion
                                                                     • equipment information:                                              equipment. In addition to providing detailed instructions for
                                                                         – process flow diagrams (PFDs)                                    the operation of a combustion system, SOPs also assist in the
                                                                                                                                           training of both new and existing plant personnel. The AIChE
                                                                         – piping and instrumentation diagrams (P&IDs)
                                                                                                                                           provides guidance regarding the preparation, revision,
                                                                         – detailed equipment drawings (i.e., heater, flare, or            content, and distribution of SOPs.72
                                                                           incinerator drawings illustrating details such as tube
                                                                                                                                              As with any set of SOPs, written procedures for combustion
                                                                           locations, burner orientation, etc.)
                                                                                                                                           systems should include pre-startup, start-up, normal operation,
                                                                         – electrical wiring schematics and electrical classifi-           shutdown, and emergency shutdown procedures, as well as
                                                                           cation data
                                                                                                                                           additional procedures for preventative maintenance opera-
                                                                         – manufacturer’s equipment manuals (including design              tions. The equipment manufacturer should always be con-
                                                                           criteria, safe operation recommendations, etc.)                 sulted regarding the proper ignition and operation of individual
                                                                         – equipment, valve, and instrumentation specification             combustion devices. Figure 10.9 shows the charred wreckage
                                                                           sheets                                                          of a refinery where an accident was caused due to improper
                                                                         – maintenance manuals                                             maintenance procedures.
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 10.9 Refinery damaged due to improper maintenance procedures. (Courtesy of Butterworth-Heinemann.2)
              their training regimen before being allowed to perform train-             10.4           SOURCES OF FURTHER
              ing-required tasks unsupervised. Training may involve formal                             INFORMATION
              (attendance and examination required), informal (safety dis-
                                                                                        In addition to the references cited in this chapter, there are
              cussions, demonstrations, seminars), self-study, and on-the-
                                                                                        many organizations that have good information on safety.
              job training methods.72 Training sessions can include but are
                                                                                                                                                                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                        Many of these have general safety information, but some also
              not limited to the following topics:
                                                                                        have specific information related to combustion. Typical
                      • start-up operations (including combustion device ignition)      organizations are listed below:
                      • normal operations                                                   American Society of Safety Engineers (ASSE)
                      • shutdown operations (including combustion device                    1800 E. Oakton Street
                        extinguishment)                                                     Des Plaines, IL 60018
                      • maintenance                                                         (847) 699-2929
                                                                                            www.asse.org
                      • OSHA HAZWOPER (Hazardous Waste Operations and
                        Emergency Response)                                                 American National Standards Institute (ANSI)
                      • fuels handling                                                      11 West 42nd Street, 13th Floor
                      • emergency procedures and evacuation                                 New York, NY 10036
                                                                                            (212) 642-4900
                      • confined space entry
                                                                                            www.ansi.org
                      • lock-out and tag-out (hazardous energy sources)
                      • hazard communication                                                Board of Certified Safety Professionals (BCSP)
                                                                                            208 Burwash Avenue
                      • blood-borne pathogens
                                                                                            Savoy, IL 61874
                      • fire extinguishment                                                 (217) 359-9263
                                                                                            www.bcsp.com
                 The safety training program must be thoroughly docu-
              mented to ensure that it is conducted in an acceptable and                    Center for Chemical Process Safety (CCPS)
              timely manner. Management and trainers should solicit con-                    American Institute of Chemical Engineers
              tinuous feedback in order to evaluate and improve program                     Three Park Avenue
              effectiveness. The AIChE provides guidance on the successful                  New York, NY 10016-5991
              management and implementation of a comprehensive safety                       (212) 591-7319
              training program.71,72                                                        www.aiche.org/cps
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                                                                       DuPont Safety Resources                                                    7. F.K. Crawley and G.A. Dalzell, Fire and explosion
                                                                       Christiana Executive Campus                                                   hazard management in the chemical and hydrocarbon
                                                                       131 Continental Drive, Suite 307                                              processing   industry,  IMechE      Conf.    Trans.:
                                                                       Newark, DE 19713                                                              Management of Fire & Explosions, 5, 61-72, 1997.
                                                                       (800) 532-SAFE
                                                                                                                                                  8. T. Kletz, Learning from Accidents,                               2nd   ed.,
                                                                       www.dupont.com/safety
                                                                                                                                                     Butterworth-Heinemann, Oxford, 1994.
                                                                       Occupational Safety & Health Administration (OSHA)
                                                                                                                                                  9. T. Kletz, An Engineer’s View of Human Error, 2nd ed.,
                                                                       U.S. Department of Labor
                                                                                                                                                     Institution of Chemical Engineers, Rugby, U.K., 1991.
                                                                       Office of Public Affairs - Room N3647
                                                                       200 Constitution Avenue                                                  10. Center for Chemical Process Safety, Guidelines for
                                                                       Washington, D.C. 20210                                                       Preventing Human Error in Process Safety, American
                                                                       (202) 693-1999                                                               Institute of Chemical Engineers, New York, 1994.
                                                                       www.osha.gov
                                                                                                                                                11. American Petroleum Institute, Safety Digest of Lessons
                                                                       National Fire Protection Association (NFPA)                                  Learned: Section 2, Safety in Unit Operations,
                                                                       1 Batterymarch Park                                                          Publication 758, Washington, D.C., 1979.
                                                                       P.O. Box 9101
                                                                                                                                                12. Y. Uehara, Fire safety assessments in petrochemical
                                                                       Quincy, MA 02269-9101
                                                                                                                                                    plants, Fire Safety Sci., Proc. 3rd Int. Symp., Int’l Assoc.
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                                                                                                                                                    Fire Safety Sci., Edinburgh, U.K., 1991, 83-96.
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                                                                                                                                                13. W.P. Crocker and D.H. Napier, Thermal radiation
                                                                       Society of Fire Protection Engineers (SPFE)
                                                                                                                                                    hazards of liquid pool fires and tank fires, IChemE
                                                                       7315 Wisconsin Avenue, Suite 1225 W
                                                                                                                                                    Symp. Series No. 97, Institute of Chemical Engineers,
                                                                       Bethesda, MD 20814
                                                                                                                                                    Pergamon Press, Oxford, U.K., 1986, 159-84.
                                                                       (301) 718-2910
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                                                                                                                                                    Radiation 1: Sources and Transmission, American
                                                                                                                                                    Institute of Chemical Engineers, New York, 1989.
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                    Chemical, and Related Facilities, Noyes Publications,             National Electric Code (NEC), 2000 edition, NFPA,
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                         Physics, 80th ed., CRC Press, Boca Raton, FL, 1999.                70. H. Phillips and D.K. Pritchard, Performance
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                     60. GPSA Engineering Data Book, Vol. II, 10th ed., Gas                     IChemE Symp. Series No. 97, Inst. of Chem. Engineers,
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                     64. R.H. Perry, D.W. Green, and J.O. Maloney, Eds.,                    74. Center for Chemical Process Safety, Guidelines for
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                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Chapter 11
                                        Burner Design
                                                                                                                                      Richard T. Waibel and Michael Claxton
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                                        TABLE OF CONTENTS
                                                                                                                              351
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                   Specialization of processes, and furnace designs to meet the
                                                                                           11.3.1.1 Gas Fuel
                   demands of those processes, has resulted in the necessity of
                                                                                           The system of ports provided by the burner designer allows
                   specialized burners. A burner is designed to provide stable
                                                                                           him to provide the operator with a capacity curve that
                   operation and an acceptable flame pattern over a specific set
                                                                                           specifies heat release vs. pressure for a given fuel
                   of operating conditions. In addition, there may be a specified
                                                                                           composition and temperature. For gaseous fuels, in
                   maximum level of pollutant emissions that can be generated
                                                                                           compressible or incompressible flow, the calculations for the
                   through the combustion process. The American Petroleum
                                                                                           mass flow through a given orifice are dependent on:
                   Institute gives some guidelines for burners used in fired
                   heaters.2 Specifications of operating conditions include:                      • Po, the fuel pressure immediately upstream of the orifice
                                                                                                  • Pa, the downstream pressure (generally atmospheric
                           • specific types of fuels                                                pressure)
                           • specific range of fuel compositions                                  • To, the fuel temperature upstream of the orifice
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                      • K, the fuel’s ratio of specific heats, which is dependent       11.3.1.2 Liquid Fuel
                        on the composition of the fuel (this is a factor used in        Liquid fuels must be vaporized in order to burn. Burners
                        calculating the compressibility of the fuel gas)                designed for firing liquid fuels include an atomizer designed
                      • A, the area of the port                                         to produce a spray of small droplets, which enhances the
                      • Cd, the discharge coefficient, which depends on the design      vaporization of the fuel. The design of the atomization system
                        of the orifice port                                             will have a significant impact on the liquid fuel flow metering
                                                                                        of the burner. With liquid fuels, the metering design is more
                 The fuel metering orifices for gaseous fuels in raw gas                complicated because of the need to “mix” the oil with an
              burners are typically installed at the point where the flame is           atomizing medium. This results in fuel metering orifices and
              formed. This is generally located in a region of the burner               atomizing media (typically steam or air) metering orifices in
              tile often termed the “burner throat.” The fuel injector tips             combination with orifices designed to flow the mixture.
              with the fuel orifices can be centered in the burner throat or            Figure 11.5 depicts typical liquid fuel atomizer/spray tip
              located on the periphery. Figure 11.2 shows typical raw gas               configurations for various liquid fuel systems. Based on the
              burner tips.                                                              burner designer’s knowledge of the oil metering and
                                                                                        atomization system, the designer is capable of providing the
                 For premix or partial premix burners, the metering orifice             operator with a capacity curve that specifies heat release vs.
              serves dual functions. It is generally a single port located at           fuel pressure for a given liquid fuel.
              the entrance of a venturi eductor. The fuel gas discharging
                                                                                           Many factors are important in the operation of a liquid fuel
              from the orifice is used to entrain air for combustion. A typical
                                                                                        atomization system. Variations in any of a number of factors
              premix metering orifice spud and air mixer assembly is shown
                                                                                        must be considered when designing the system of ports for
              in Figure 11.3.
                                                                                        the metering of flow for a liquid fuel, including the:
                 Capacity curves are generally presented in terms of heat
              release vs. fuel pressure. The heat release is calculated from                   •    temperature/viscosity relationship of the fuel
              the mass (or volume) flow of the fuel, multiplied by the heating                 •    atomization medium temperature
              value per unit mass (or volume) of the fuel. Figure 11.4 pre-                    •    fuel/atomizing medium pressure ratio
              sents a typical gas fuel capacity curve.                                         •    temperature/vaporization relationship of the fuel
                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                Primary air
                                                                                                                 Venturi throat
                                                                                                  control
Orifice
                                                                  FIGURE 11.3 Typical premix metering orifice spud and air mixer assembly.
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                                                                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                   (a)
                                                                                                                            (c)
                   Burner Design
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---                                                                                                  357
              11.3.2.2 Forced Draft                                                                          Normal duty: 8.0 MMBtu/h (2.344 MW, 2.016 MMkcal/h)
              Some burner applications provide the combustion O2 stream at                                   Minimum design duty (turndown): 2.0 MMBtu/h (0.586 MW,
              a positive pressure. These are generally applications either                                       0.504 MMkcal/h)
              with preheated air, turbine exhaust gas, or another alternative                                Draft: 0.5 in. w.c. (124.5 Pa, 1.25 mbar, 12.7 mm H2O)
              oxidant source. Applications requiring smaller flame volumes                                   20% Excess air design, 10% excess air operation
              can also utilize increased air pressure drop and enhanced                                      Design to meet API 560 and 535
              mixing. If the application operates on forced draft at all times,                                  Reference: API 560 Section 10.1.12
              the available pressure loss is often in the range of 4 to 10 in.                              “The burner shall be selected to use no less than 90% of
              water column (4 to 10 in. w.c.). With this level of available                              the maximum draft available for the maximum specified heat
              pressure loss, the flame dimensions are considerably smaller                               release.”
              due to the increased turbulent mixing in the flame. In addition,
                                                                                                                 Reference: API 560 Appendix A — Equipment Data Sheets
              it is often possible to control the combustion O2 stream flow
                                                                                                                            Section b. Burner data sheets, Sheet 3 of 3
              over a wider heat release range. This enhanced mixing and
                                                                                                                            Note 1
              improved control allows operation with low excess O2 over a
              wider range of fuel input, resulting in improved combustion                                   “At design condition, minimum of 90% of the available
              efficiencies across the heat release range.                                                draft with the air register fully open shall be utilized across
                 In some forced-draft applications, it is specified that the                             the burner. In addition, a minimum of 75% of the airside
              burner must also operate under an ambient air, natural-draft                               pressure drop with the air registers full open shall be utilized
              operating mode. For such a dual operational mode specifica-                                across burner throat.”
              tion, it is most common that the natural-draft case is the                                         Reference: API 535 Section 8.2 — Dampers and Registers
              limiting design. Burners designed for natural-draft and                                       “Dampers and burner registers shall be sized such that the
              forced-draft operation seldom require forced-draft pressures                               air rate can be controlled over a range of at least 40 to 100%
              greater than 2 in. water column (<2 in. w.c.). The exception                               of burner capacity.”
              to this is when the forced-draft operation uses the lowered
              oxygen concentrations of some of the alternative oxidant                                      Assume that, through the efforts of the burner designer,
              sources. For this design condition, the increased mass flow                                the burner actually requires between the specified 90 to 100%
              of the combustion O2 source, with oxygen content lower than                                of the available draft, and that the specified 75% is measur-
              air, along with the increased temperature of that stream, gen-                             able as static loss across the throat. The following tables
              erally increase the required burner pressure to levels greater                             indicate the:
              than 2 in. water column (>2 in. w.c.).
                                                                                                                • operating heat release (column 1, Heat Release)
              11.3.3 Air Control                                                                                • desired operational excess air (column 3, Percent X-Air)
                                                                                                                • required pressure loss across the throat (column 4,
              As a primary metering restriction, a majority of the pressure
                                                                                                                  Throat Drop)
              loss is expected to be utilized within the burner throat.                                         • required pressure loss across the register or air control
              Engineering groups such as the American Petroleum Institute                                         device (column 5, Control Drop)
              (API),2,3 process design companies, and some furnace                                              • ratio percentage of register or damper opening required
              manufacturers provide burner design guidelines that define                                          (column 7, Percent Control Open)
              the use of the available airside pressure drop at that point.
                 Depending on the level of accuracy desired, there are limi-                                Table 11.1 shows the theoretical percentage of air control
              tations to the practical range of control, especially when applied                         opening based on no change in control flow coefficient and
              to burners designed for natural-draft applications. The percent-                           3% leakage at the full closed position. Table 11.2 is based on
              age of available draft utilized for throat metering can leave little                       6% leakage. These tables assume that the variable orifice, the
              room for the design of an adequate control mechanism.                                      air control mechanism, has a constant discharge coefficient
                                                                                                         throughout its full range of operation. This is a simplification
              Example 11.1                                                                               and is not totally correct in practical application.
                   Natural-draft burner                                                                     These charts (Tables 11.1 and 11.2) provide insight into
                   Refinery fuel gas: 1200 Btu/scf, 0.70 sp.gr. (47.27 MJ/Nm3,                           another common fallacy in burner specification — the error
                       11288.8 kcal/Nm3)                                                                 in excess design capacity. Many who specify combustion
                   Maximum design duty: 10.0 MMBtu/h (2.93 MW, 2.52                                      equipment seek to provide excess capacity as a cushion
                       MMkcal/h)                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---      against reduced operation with burners out of service, upset
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                              TABLE 11.1 Theoretical Air Control Opening, Based on No Change in Control Flow Coefficient and 3% Leakage
                              at the Full Closed Position
                                 Heat                  Percent     Percent        Throat Drop                     Control Drop                                        Percent Control Open
                                Release                Design       X-Air    90% Total    100% Total     90% Total    100% Total                   Total dP         90% Total 100% Total
                              (MMBtu/hr)                (%)          (%)            (in. w.c.)                  (in. w.c.)                         (in. w.c.)         % (w/3% leakage)
                                    10.0                  100        15       0.338        0.375            0.162                0.125                0.50             86.3            Full open
                                    10.0                  100        10       0.309        0.343            0.191                0.157                0.50             75.9              83.8
                                     9.0                   90        10       0.250        0.278            0.250                0.222                0.50             59.4              63.1
                                     8.0                   80        10       0.198        0.220            0.302                0.280                0.50             47.7              49.6
                                     7.0                   70        10       0.151        0.168            0.349                0.332                0.50             38.6              39.6
                                     6.0                   60        10       0.111        0.124            0.389                0.376                0.50             31.0              31.6
                                     5.0                   50        10       0.077        0.086            0.423                0.414                0.50             24.5              24.8
                                     4.0                   40        20       0.059        0.065            0.441                0.435                0.50             20.7              20.9
                                     3.0                   30        40       0.045        0.050            0.455                0.450                0.50             17.6              17.7
                                     2.0                   20        80       0.033        0.037            0.467                0.463                0.50             14.7              14.8
                                       0                    0         3       0.00031      0.00034          0.49969              0.49966              0.50          Full closed       Full closed
                              TABLE 11.2 Theoretical Air Control Opening, Based on No Change in Control Flow Coefficient and 6% Leakage
                              at the Full Closed Position
                                 Heat                  Percent     Percent        Throat Drop                     Control Drop                                        Percent Control Open
                                Release                Design       X-Air    90% Total    100% Total     90% Total    100% Total                   Total dP         90% Total 100% Total
                              (MMBtu/hr)                (%)          (%)            (in. w.c.)                  (in. w.c.)                         (in. w.c.)         % (w/6% leakage)
                                    10.0                  100        15       0.338        0.375            0.162                0.125                0.50             84.8            Full open
                                    10.0                  100        10       0.309        0.343            0.191                0.157                0.50             74.4              82.3
                                     9.0                   90        10       0.250        0.278            0.250                0.222                0.50             57.9              61.6
                                     8.0                   80        10       0.198        0.220            0.302                0.280                0.50             46.2              48.1
                                     7.0                   70        10       0.151        0.168            0.349                0.332                0.50             37.1              38.1
                                                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                     6.0                   60        10       0.111        0.124            0.389                0.376                0.50             29.5              30.1
                                     5.0                   50        10       0.077        0.086            0.423                0.414                0.50             23.0              23.3
                                     4.0                   40        20       0.059        0.065            0.441                0.435                0.50             19.2              19.4
                                     3.0                   30        40       0.045        0.050            0.455                0.450                0.50             16.1              16.2
                                     2.0                   20        80       0.033        0.037            0.467                0.463                0.50             13.2              13.3
                                       0                    0         6       0.0012       0.0014           0.4988               0.4986               0.50          Full closed       Full closed
                   operation, process design contingencies, and future desired                                exceptions to this rule. Intimate mixing does not always
                   capacity. The fallacy is in the ability to control excess air and                          produce the most desirable results.
                   to utilize the available pressure drop for the normal operation.                              Designing a combustion system for special applications
                   The air and fuel pressures are both reduced in the mixing                                  (e.g., high inert composition fuels) can also set limitations on
                   zone and the resulting flame quality will suffer.                                          the desired level of mixing. All combustion reactions have a
                                                                                                              rate at which they will proceed and a minimum temperature
                                                                                                              that is required to initiate or sustain that reaction. The intro-
                   11.3.4 Mixing Fuel/Air                                                                     duction of inert components to the fuel can generate two
                   Mixing is a general term used to describe the function of                                  conditions that will affect burner stability. First, the inert
                   bringing the fuel (reactant) into close molecular proximity                                components slow the reaction. This slowing of the flame
                   with the air (oxidant). The higher the level of turbulence and                             speed can result in the stabilization point being translated out
                   shear between the streams, the more uniform the fuel and air                               of the desired position. Second, the inerts introduce a heat
                   mixture and the more rapid and complete the combustion                                     absorption component that narrows the flammability limits
                   reaction. It is generally accepted that the higher the level of                            and reduces the flame temperature. Quenching of the flame,
                   mixing, the more intense and more complete and better the                                  to extinction, is an important consideration when inert com-
                   combustion. However, there are a number of conditions and                                  ponents are present in the fuel or the combustion O2 stream.
                   factors that should be considered, including flame shaping                                    Many combustion O2 streams with greater inert composi-
                   and control of pollutant emissions that lead to some                                       tions than ambient air are the result of a combustion process.
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              As such, they are typically available at an elevated tempera-                                             region in which the components of the streams become
              ture. This elevated thermal energy will often partially offset                                            intermixed. However, in low-velocity differentials, as in all
              the potential quenching effect of the elevated inert levels.                                              transitional or laminar boundary layers, the relative thickness of
              However, there are limits, as discussed in Section 11.1.                                                  this interface is small in comparison with the total cross-
                 An effective form of emissions control is through the                                                  section. Co-flow mixing with low-velocity differential
              delaying of the combustion process. Highly mixed fuel and                                                 conditions is — by its dynamic configuration — slow mixing.
              combustion O2 in the proper proportions will generate the
              maximum flame temperature. This will result in the formation                                              11.3.4.3 Cross-flow
              of a large quantity of nitrogen oxides (NOx), which is a highly                                           The shear energy generated between two flowing streams is
              regulated pollutant (see Chapter 6). Certain burner designs                                               greater anytime the streams are intersecting. The work
              will utilize a reduced level of fuel and air mixing, or a delayed                                         required to redirect the combined flow of the streams results
              mixing, extending the reaction zone to achieve reductions in                                              in turbulent intermixing of those streams. The included angle
              these emissions.                                                                                          of intersection of the streams, the relative differential
                 In the case of a dual reactant flame, there are only two                                               velocity of the streams, and the mass densities of the streams
              sources from which to obtain the energy required for mixing.                                              are all factors in the resulting direction and the turbulence
              First is the relatively high-mass, low-velocity combustion O2                                             generated for the mixing of the streams.
              stream, and second is the low-mass, relatively high-velocity                                                 Included angles of intersection closer to perpendicular
              fuel stream. Each stream will contribute energy to the work                                               result in higher levels of mixing. However, quick mixing is
              required to mix in proportion to its mass and its velocity.                                               not always the most important function being sought. Flame
                 The intimate mixing of two or more dissimilar fluid streams                                            shape, stability, and emissions are all primary functions that
              under flowing conditions occurs in a turbulent shear zone                                                 can be affected by the rate and direction of combustion.
              defined by the intersection of the two streams. This region
              can be described as the dynamic interaction of each stream’s                                              11.3.4.4 Flow Stream Disruption
              mass and velocity, or momentum. This surface of intersection                                              Additional turbulence can be developed through the disruption
              will vary in its turbulence in proportion to the magnitude of                                             of the “path” of a flowing fluid. Strategically located obstruc-
              the shear forces developed.                                                                               tions (e.g., bluff bodies) and sudden expansions (e.g., tile
                 Four basic mechanisms are available for the development                                                ledges) provide forced changes in flow streams, generating
              of fuel and air mixing:                                                                                   turbulence. If these disruptions are located in a region where
                                                                                                                        both fuel and air streams are present, mixing will occur.
                                       1.                             entrainment
                                       2.                             co-flow mixing
                                       3.                             cross flow mixing                                 11.3.5 Maintain (Ignition)
                                       4.                             flow streamline disruption or eddy formation      The most important function that a burner performs is to
                                                                                                                        provide for the continuous and reliable ignition of the fuel
              11.3.4.1 Entrainment                                                                                      and air passing through the burner over a specified range of
              Entrainment is an effective demonstration of the law of conser-                                           operating conditions. Each burner is designed to provide a
              vation of momentum. One stream, usually the fuel, is utilized                                             specific location in which a portion of the fuel and air is
              to inspirate the other. This motive fluid’s energy and momen-                                             continuously introduced in near-stoichiometric proportions at
              tum are conserved. As the velocity of the fuel jet is dissipated,                                         velocities at or below the mixture flame speed, thereby
              the mass of the fuel stream must increase by the entrainment of                                           allowing for a continuous “ignition zone.” At this location, a
              ambient air to satisfy the conservation of momentum.                                                      continuous flame is maintained and ignites the fresh fuel/air
                 A well-designed premix burner primarily utilizes entrain-                                              mixture as it is introduced. The ignition zone is designed to
              ment as its fuel/air mixing mechanism. Intimately mixed fuel                                              operate over the specified range of operation of the burner.
              and oxidant prior to the distribution tip results in the highest                                          The flame from this ignition zone is then used to ignite the
              possible rate of reaction.                                                                                remainder of the fuel and air mixture.
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FIGURE 11.8 Ledge in the burner tile. FIGURE 11.9 Flame stabilizer or flame holder.
                   shape, size, and consistency of the flame generated. In fact,                                            of heat to the process load. Flame size and shape for the
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              HPI is especially critical due to the sensitivity of the hydro-      require a fan-shaped flame, often termed a flat flame. In
              carbons being processed to overheating. The rate of heat             that case, the burner tile is generally rectangular and the
              transfer to the process tubes must be limited to prevent             fuel is injected in a manner producing a flame that is essen-
              overheating of the process tubes leading to the formation of         tially rectangular or “flat” rather than round (see
              carbon or coke inside the process tubes. As a result, there          Figure 11.12).
              are generally strict guidelines for the flame dimensions.
              Typical specifications for flames include maximum flame              11.3.7 Minimize (Pollutants)
              lengths and widths. The number, heat release, and layout of          Most societies have come to the point at which the environ-
              the burners in the furnace are designed to provide the proper        ment is of foremost concern. Therefore, the governments of
              heat transfer pattern.                                               most nations and localities are very critical of any source that
                 Patterning of the air flow through approach distribution,         puts certain undesirable materials into the air, soil, or water.
              tile throat sizing and shape, and the tile exit configuration        Environmental regulations limiting air pollution have direct
              provides the most reliable method for flame pattern control.         impact on the design of combustion equipment.
              Introduction of the fuel into the established air flow streams          The challenge presented to burner design by these restric-
              provides the primary function in a raw gas burner. The               tions comes from the thermo-chemical reactions that form the
              proper flame pattern is generated by the combination of              regulated emissions. Emission control issues are discussed in
              fuel injection pattern provided by the fuel injectors and the        Chapter 6.
              burner tile and flame holder which controls the air flow.
              The fuel injectors are also often called spuds or tips. The
              injectors have fuel injection ports that introduce the main          11.4           BURNER TYPES
              portion of the fuel into the air stream in a manner that             Burners are typically classified based on the type of fuel
              generates the desired flame pattern or shape. In conjunction,        being burned. A subdivision in burner type often includes the
              the air stream must be shaped in an appropriate manner by            method of combustion O2 supply. Therefore, there can be as
              the air flow passages provided by the shape of the tile and          many as eight basic design criteria.
              flame holder. In many cases, the flame shape is round or                  1. Gas — premix and partial premix, natural draft and/or
              brush-shaped and acceptable in length and diameter (see                      low pressure drop air
              Figure 11.11). In this case, the burner tile is typically round           2. Gas — raw gas or nozzle mix, natural draft and/or low
              and the fuel is injected symmetrically. Some furnaces                        pressure drop air
                         3. Gas — raw gas or forced nozzle mix, forced draft high                 balanced by an increase in mass of the moving stream. This
                            pressure drop air                                                     additional mass is entrained air.
                         4. Liquid — natural draft and/or low pressure drop air
                                                                                                     Burners designed with an inspirating arrangement typically
                         5. Liquid — forced draft high pressure drop air
                         6. Solid fuel — forced draft high pressure drop air (typically)          require fewer adjustments to the air control. The utilization of
                         7. Combination gas and liquid — raw gas and oil (typically),             the mass and velocity of the fuel results in that portion of the
                            natural draft and/or low pressure drop air                            air inspirated being proportional to the gas flow. Therefore,
                         8. Combination gas and liquid — raw gas and oil (typically),             with the reduction in fuel mass flow, there is a resulting reduc-
                            forced draft high pressure drop air                                   tion in the entrained air. The efficiency of the venturi and the
                                                                                                  restriction imposed by the fuel/air distribution nozzle are the
                   The final two designs listed are simply extensions of other
                                                                                                  limits to the capacity (volume) of air that can be inspirated.
                   designs. The combination of any two or more burners is
                   simply a matter of basing the design on the most difficult of                     Another benefit to this design is in the volume of the flame
                   the fuel types and adapting the other fuel distribution systems                generated. Since the majority of the air is initially intimately
                   to the base design.                                                            mixed with the fuel, the resulting flame volume of this pre-
                                                                                                  mixed burner will be much smaller than that of any other low
                   11.4.1 Premix and Partial Premix Gas                                           air pressure drop burner. Conversely, if the efficiency of this
                   Premix is a term applied to burners that inspirate part or all of              premixing is sufficiently low, the flame will actually be larger
                   the total air required for combustion. This type of burner                     than a raw gas burner. This is a result of the reduced secondary
                   provides for intimate mixing of the fuel and combustion O2                     air mixing energies. By utilizing the majority of the available
                   prior to the ignition zone.                                                    energy of the fuel stream to achieve the primary premix, the
                      In inspiration, the motive energy is supplied by the low-mass,              remaining energies for any required secondary air mixing are
                   high-potential-energy fuel. The fuel gas is metered through one                reduced to only that available from the air due to the draft loss.
                   or more orifices at the entrance to a venturi or mixer. The                       Further benefits provided by this style of burner lie in the
                   entrained air stream is made available at zero, or virtually zero,             fuel metering configuration. Because all of the fuel is metered
                   velocity at the same location. The conversion of the potential                 through a single or minimal number of orifices, the size of
                   energy, pressure of the fuel stream, to kinetic energy, jet veloc-             those orifices will be maximized for the conditions. Larger-
                   ity, is achieved within the zone of air supply. The “free jet” of              diameter orifices, as long as they do not jeopardize the func-
                   the fuel immediately begins to expand and decelerate. Conser-                  tion of the burner, are a benefit because they minimize the
                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   vation of momentum requires that the reduction in velocity be                  chances of plugging from dirty fuels.
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                 One of the basic limitations to this type of burner is founded       gen will typically require multiple points of fuel injection.
              in the burning characteristics of fuels. Each fuel chemical             This breaking up of the fuel flow into multiple metering
              compound has its “rate of reaction” with oxygen. This rate              orifices while maintaining high potential energy, pressure,
              is dependent on concentration levels of the fuel, the oxygen,           can require small orifices. These small orifices are highly
              and any inert components. This rate is also dependent on the            subject to fouling problems due to fuel quality and foreign
              temperature of the mixture. Another way to describe this rate           material in the piping.
              is in terms of “flame speed,” or the velocity at which the flame           Natural draft on the low pressure drop, combustion O2 side
              will propagate. The design of the distribution tip/system into          often requires a burner design utilizing quiescent zones for
              the ignition and combustion zones is dependent on this same             stabilization. These low flow, low pressure zones can be gen-
              burning characteristic of the design fuel. Changes in the firing        erated through the use of flow stream disruption. Cones or
              rate or the fuel will result in a change in the volume, velocity,       bluff bodies located in the throat of the burner are a common
              and burning characteristics at the distribution tip. If the             form of flow stream disruption. Flow disrupters or shields
              fuel/air mixture is within combustible limits, and the velocity         around fuel tips and ledges or sharp changes in tile profile
              is not maintained above the flame propagation speed, the                are also common. In all cases, these mechanisms are basically
              result is a translation of the flame front back along the fuel/air      designed to prevent a portion of the combustion O2 from
              flow streams. In the worst case, this flash-back condition may          leaving the designed ignition zone prior to the introduction
              result in flames being translated completely outside of the             of fuel. They provide “pockets” of a continuously renewing
              designed ignition and flame zone, causing mechanical and                combustible mixture at a location in which the velocity is
               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                 FIGURE 11.16 Typical conventional raw gas burner.
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   11.5            CONFIGURATION (MOUNTING
                                   AND DIRECTION OF FIRING)
                   Burners can be mounted in the furnace or heater floor to fire
                   vertically upward; in the heater wall to fire horizontally; or
                   in the roof to fire vertically downward. The major
                   consideration required for burner design is to ensure proper
                   support for the burner tile. Burner blocks for floor-mounted
                   service can typically be simply placed on the furnace steel
                   or burner mounting plate. Burner blocks for horizontal
                   mounting must be supported by tile case assemblies and
                   must be held in place so that they do not move if subjected
                   to vibration. Roof-mounted tiles must have support surfaces
                   cast into them so that they can hang from steel supports in
                   the furnace roof.
                                                                                             FIGURE 11.18 Typical round flame combination burner.
                   11.5.1 Conventional Burner, Round Flame
                   The following figures illustrate the different types of burners           conventional burner. This burner is used where NOx emissions
                   that are typically used in refinery and petrochemical furnaces.           are not a primary concern and a short flame is desired.
                   The round flame burner is the most universal design and used                 Figure 11.17 shows a typical premix gas burner. A premix
                   in many applications. Figure 11.16 illustrates a typical raw gas          round flame burner is useful when a short heater does not
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                                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                      flame heats the refractory wall, which in turn radiates heat to
                                                                                      the process tubes facing the wall. Wall-fired burners are
                                                                                      typically used in ethylene furnaces.
                                                                                      11.5.2.2 Freestanding
                                                                                      A free-standing flat flame burner is used in applications
                                                                                      where it is necessary to fire a burner between two sets of
                                                                                      process tubes. The tube spacing often requires the use of a
                                                                                      flat flame burner. A staged-fuel, flat flame is shaped by firing
                                                                                      stage fuel jets opposite one another. This makes the flame
              FIGURE 11.19 Typical round flame, high-intensity com-                   shape into a fan. The flame thickness is typically less than or
              bination burner.                                                        equal to the burner tile width.
              have enough draft to supply the required combustion air. The
              premix burner uses the fuel jet as a motive force to allow the
              burner to pull in part or all of its combustion air.
                 Figure 11.18 shows a typical round/conical flame combi-
              nation oil and gas burner. This burner can be used to burn
              gas or liquid fuels. This versatility is desirable to applications
              with liquid fuels or where gas fuels may be in short supply
              at various times throughout the year and an alternative fuel
              must be fired to maintain a process.
                 Figure 11.19 shows a typical round/conical flame high
              intensity combination oil and gas burner. This burner is used
              in applications where a high heat release per burner is
              required but a short flame length is required.
                   Burner Design
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                                                                                                                                                                      369
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--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Chapter 12
                                        Combustion Controls
                                                                                                                                                               Joe Gifford and Jim Heinlein
TABLE OF CONTENTS
                                                                                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                            12.3.1 Parallel Positioning ................................................................................................................... 389
                                                            12.3.2 Fully Metered Cross Limiting................................................................................................... 392
                                             12.4          Controllers............................................................................................................................................... 394
                                             12.5          Tuning ..................................................................................................................................................... 398
                                        References ................................................................................................................................................................ 399
                                                                                                                               373
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              12.1                                                  FUNDAMENTALS         There are also a few disadvantages. Once a certain com-
              This chapter discusses the various control system compo-                plexity level is reached, relay systems can quickly become
              nents, concepts, and philosophies necessary for understanding           massive. Although individual relays are very reliable, a large
              how control systems work, what the systems are designed to              control system with hundreds of relays can be very unreliable.
              accomplish, and what criteria the controls engineer uses to             Also, relays take up a lot of expensive control panel space.
              design and implement a system. The interested reader can find           Because relays must be physically rewired to change the
              further information on controls in numerous references.1–11             operating sequence, system flexibility is poor.
                 The purpose of the control system is to start, operate, and
              shut down the combustion process and any related auxiliary              12.1.1.2 Burner Controller
              processes safely, reliably, and efficiently. The control system         A variety of burner controllers is available from several dif-
              consists of various physical and logical components chosen              ferent vendors. They are prepackaged, hardwired devices in
              and assembled according to a control philosophy and arranged            different configurations to operate different types of systems.
              to provide the user with an informative, consistent, and easy-          Burner controllers will execute a defined sequence and moni-
              to-use interface.                                                       tor defined safety parameters. They are generally located in a
                                                                                      local control panel. Like relays, they generally have no
                 A combustion system typically includes a fuel supply, a
                                                                                      analog capability.
              combustion air supply, and an ignition system that all come
                                                                                         Advantages of burner controllers include the fact that they
              together at one or more burners. During system startup and
                                                                                      are generally inexpensive, compact, simple to hook up,
              at various times during normal operation, the control system
                                                                                      require no programming, and are fail-safe and very reliable.
              needs to verify or change the status of these systems. During
                                                                                      They are often approved for combustion service by various
              system operation, the control system needs various items of
                                                                                      safety agencies and insurance companies.
              process information to optimize system efficiency. Addition-
                                                                                         There are also some disadvantages. Burner controllers can-
              ally, the control system monitors all safety parameters at all
                                                                                      not control combustion systems of much complexity. System
              times and will shut down the combustion system if any of the
                                                                                      flexibility is nonexistent. If it becomes necessary to change
              safety limits are not satisfied.
                                                                                      the operating sequence, the controller must be rewired or
                                                                                      replaced with a different unit. Controllers also require the use
              12.1.1 Control Platforms                                                of attached peripherals from the same vendor, so some design
              The control platform is the set of devices that monitors and            flexibility is lost.
              optimizes the process conditions, executes the control logic,
              and controls the status of the combustion system. There are             12.1.1.3 Programmable Logic Controller (PLC)
              several different types of platforms and several different ways         A programmable logic controller (PLC) is a small modular
              that the tasks mentioned above are divided among the types              computer system that consists of a processing unit and a num-
              of platforms. Following is a list and a brief description of the        ber of input and output modules that provide the interface to
              most commonly used platforms.                                           the combustion components. PLCs are usually rack-mounted
                                                                                      and modules can be added or changed (see Figure 12.1).
              12.1.1.1 Relay System                                                   There are many types of modules available. Unlike the relays
              A relay consists of an electromagnetic coil and several                 and burner controllers above, PLCs have analog control capa-
              attached switch contacts that open or close when the coil is            bility. They are generally located in a local control panel.
              energized or de-energized. A relay system consists of a num-               PLCs have the advantage of being a mature technology.
              ber of relays wired together in such a way that they execute a          They have been available for over 20 years. Simple PLCs are
              logical sequence. For example, a relay system can define a              inexpensive and PLC prices are generally very competitive.
              series of steps to start up the combustion process. Relays can          They are compact, relatively easy to hook up, and because
              tell only if something is on or off and have no analog capabil-         they are programmable, they are supremely flexible. They can
              ity. They are generally located in a local control panel.               operate systems of almost any level of complexity. PLC reli-
                 Relays have several advantages. Relays are simple, easily            ability has improved over the years and is now very good.
              tested, reliable, and well-understood devices that can be wired            Disadvantages of PLCs include having to write software
              together to make surprisingly complex systems. They are                 for the controller. Coding can be complex and creates the
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              modular, easily replaced, and inexpensive. They can be con-             possibility of making a programming mistake, which can
              figured in fail-safe mode so that if the relay itself fails, com-       compromise system safety. The PLC can also freeze up, much
              bustion system safety is not compromised.                               like a desktop computer freezes up, where all inputs and
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                   outputs are ignored and the system must be reset in order to                                                However, DCSs are often difficult to program. Each DCS
                   execute logic again. Because of this possibility, standard                                               vendor has a proprietary system architecture, so the hardware
                   PLCs should never be used as a primary safety device. Special                                            is expensive and the software is often different from any
                   types of redundant or fault-tolerant PLCs are available that                                             other vendor’s software. Once a commitment is made to a
                   are more robust and generally accepted for this service, but                                             particular DCS vendor, it is extremely difficult to change to
                   they are very expensive and generally difficult to implement.
                                                                                                                            a different one.
              12.1.1.6 Future Systems                                                    The discrete control system does safety monitoring and
              Over the next decade or so, it is expected that embedded                sequencing. Typically, the system monitors all of the discrete
              industrial microprocessors using touchscreen video interfaces           inputs, and if they are all satisfactory, allows combustion
              (see Figure 12.2) will start to appear in combustion control.           system startup. If a monitored parameter is on when it should
              These interfaces will communicate with field devices such as            be off, or vice versa, the startup process is aborted and the
              valves and switches via a single communications cable. They             system must be reset before another startup is permitted. The
              will use a digital bus protocol such as Profibus or Fieldbus.           system also controls such things as which valves are opened
              These systems are becoming common on factory floors around              in what order, if and when the pilot is ignited, and if and
              the world. Because establishment of a single standard has not           when main burner operation is allowed. Once the system
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              yet happened and combustion standards are slow to change,               starts, the discrete system has little to do other than monitor
              these systems have not yet achieved widespread acceptance in            safety parameters. If any of the defined safety parameters are
              the combustion world.                                                   not satisfactory, the system immediately shuts down.
                                                                                      Figure 12.3 is a simplified flow diagram showing a standard
              12.1.2 Discrete Control Systems                                         burner light-off sequence.
              The world of discrete controls is black and white. Is the valve
              open or shut? Is the switch on or off? Is the button pressed or         12.1.3 Analog Control Systems
              not? Is the blower running or not? There are two basic types            The world of analog controls is not black and white — it is
              of discrete devices: (1) input devices (sensors) that have elec-        all gray. How far open is that valve? What is the system tem-
              trical contacts that open or close depending on the status of           perature? How much fuel gas is flowing?
              what is being monitored; and (2) output devices, or final                  There are two categories of analog devices with familiar
              elements, that are turned on or off by the control system.              names: (1) sensors, which measure some process variable (e.g.,
                 In a typical control system, sensors such as pressure switches,      flow or temperature) and generate a signal proportional to the
              valve position switches, flame scanners, and temperature                measured value; and (2) final elements (e.g., pumps and valves),
              switches do all the safety and sequence monitoring. These               which change their status (speed or position, for example) in
              devices tell the control system what is happening out in the            response to a proportional signal from the control system.
              real world. They are described in more detail in Section 12.1.3.           In contrast to the discrete control system, the analog control
                 The final elements carry out the on/off instructions that come       system usually has few tasks to perform until the system
              from the control system. These are devices such as solenoid             completes the startup sequence and is ready to maintain nor-
              valves, relays, indicating lights, and motor starters. These            mal operation. Most analog devices are part of a control loop.
              devices allow the control system to make things happen in the           A simple loop consists of a sensor, a final element, and a
              real world, and are described in more detail in Section 12.1.3.         controller. The controller reads the sensor, compares the
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                   Combustion Controls
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                         377
                                                                                                     THERMOCOUPLE
                                                                                     CONTROLLER         (SENSOR)
                                                                                           TIC                  TE
                                                                                           100                  100
                                                                       TV                                               BURNER
                                                                                                                      TEMPERATURE
                                                                       100
                                                                                                                                    LEGEND
                                                                                                                                    TV - Temperature Valve
                                                                                           FUEL TO                                  TIC - Temperature Indicator
                                                                                           BURNER                                          Controller
                                                                                                                                    TE - Temperature Element
                                                                         CONTROL VALVE
                                                                         (FINAL ELEMENT)
              measured value to its setpoint set by the operator, and then                               doubles? There will no longer be enough combustion air in
              positions the final element to make the measured value equal                               the system to allow destruction of all the waste. Unburned
              the setpoint. Figure 12.4 illustrates a simple analog loop.                                waste will burn at the tip of the smokestack and clouds of
                 In this case, the thermocouple transmits the temperature to                             smoke will billow from the stack. Phone calls from irate
              the controller. If the temperature is higher than the setpoint,                            neighbors will soon begin to accumulate. Using feedforward,
              the controller will decrease its signal to the control valve.                              as shown in Figure 12.5, the waste flow is measured. When
              This will decrease the fuel flow to the burner, thus lowering                              it doubles, the combustion airflow setpoint immediately
              the temperature. In this way, the loop works to maintain the                               increases by a similar amount, avoiding all of the unpleasant
              desired temperature — also known as the setpoint.                                          consequences listed above.
                 The previous illustration is a good example of a simple
              feedback system. After the controller adjusts the control                                  12.1.4 Failure Modes
              valve, the resulting change in temperature is fed back to the                              Almost everything fails eventually. No matter how well the
              controller. This way, the controller “knows” the result of the                             components of a control system are designed and built, some
              adjustment and can make a further adjustment if it is                                      of them will fail from time to time. One of the primary tasks
              required. Another good example of feedback takes place                                     of the controls engineer is to design the control system so that
              whenever one drives a car. If one gets on the expressway and                               failure of one or even several components will not cause a
              decides to drive at 60 mph, one presses the accelerator and                                safety problem with the combustion system.
              watches the speedometer. Near 60 mph, one begins to ease                                      All components used in a control system have one or more
              off the accelerator so as not to overshoot. From then on, one                              defined failure modes. For example, if a discrete sensor fails,
              glances at the speedometer every now and then and adjusts                                  it will most likely cause the built-in switch contacts to fail
              one’s foot position as necessary.                                                          open. To design a safe system, the controls engineer must
                 Feedback alone is not enough, however. What if there is                                 choose and install the sensor so that when an alarm condition
              traffic congestion? One begins to slow down in anticipation.                               is present, the switch contacts will open. Thus, the alarm
              This is called feedforward, which occurs when one changes                                  condition coincides with the failure mode. If it did not, the
              the operating point because some future event is about to                                  sensor could fail and the control system would still think
              happen and one needs to prepare for it. Feedforward is com-                                everything was normal and attempt to keep operating as
              monly used in combustion control systems. A good example                                   before — a condition that could be catastrophic.
              from the world of combustion is waste flow. In a waste                                        In addition to sensors, final control elements also have
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              destruction system, what happens if the waste flow suddenly                                failure modes. The controls engineer can usually select the
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                                                                                                                       LEGEND
                                                                   FIT                                                 FIT - Flow Indicating Transmitter
                                                                   100                                                 FV - Flow Valve
                                            FLOW METER                                                                 FY - Flow Relay
                                             (SENSOR)                                                                  FIC - Flow Indicating Controller
                                                                               WASTE GAS
                                                                                FLOW TO
                                                                                BURNER
                                                                                                    SUMMER                       CONTROLLER
                                                                                              FY                                           FIC
                                                                                              100                                          100
                                                                         FV
                                                                         100
                                                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                             COMBUSTION
                                                                                                AIR TO
                                                                                               BURNER
                                                                            CONTROL VALVE
                                                                           (FINAL ELEMENT)
                   desired failure mode. If there is an actuated valve that turns                   safe operation of various combustion processes. No single
                   the fuel gas supply on and off, the actuator is installed so that                organization does all of the things listed.
                   the valve will spring closed (fail shut) upon loss of air. In                       The design of combustion systems in the United States
                   addition, assume there is a solenoid valve that turns air to the                 should include specifications that meet National Fire Protec-
                   actuator on and off. The solenoid valve should be selected                       tion Association (NFPA) and National Electrical Code (NEC)
                   and installed to rapidly dump air from the actuator upon loss                    standards. In accordance with the applicable standards and
                   of electrical power, thus closing the valve. These designs                       years of experience in the field, systems should be designed
                   ensure that the two most likely circumstances of component                       with some or all of the following safety features.
                   failure enhance system safety.
                      Construction of a well-designed system ensures that every                     12.1.5.1 Double-Block-and-Bleed for Fuel Supply
                   component that can fail is installed so that component failures                  This means that there are two fail-shut safety shutoff block
                   do not compromise system safety. At its core, that is what                       valves with a fail-open safety shutoff vent valve located
                   controls engineering is all about.                                               between them, as shown in Figure 12.6. Each of the three
                                                                                                    safety shutoff valves (SSOVs) in the double-block-and-bleed
                   12.1.5 Agency Approvals and Safety                                               system has a position switch not shown in the figure. For a
                   Worldwide, there are hundreds of private, governmental, and                      system purge to be valid, the block valves must be shut and
                   semi-governmental safety organizations. Each ostensibly has                      verified. For burner light-off, the vent valve is shut. After the
                   the proper implementation of safety at the top of its agenda.                    vent valve position switch confirms that the valve is shut, the
                   Some agencies are concerned with the electrical safety and                       two block valves are opened. If there is a system failure, all
                   reliability of the components used in a control system; others                   three of the valves de-energize and return to their failure
                   are concerned about preventing explosions caused by spark-                       positions. Note that if the upstream block valve ever leaks,
                   ing equipment in a gaseous atmosphere; and still others are                      the leakage will preferentially go through the open vent valve
                   concerned with the proper design of control systems to ensure                    and vent to a safe location rather than into the burner.
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              12.1.5.2 Unsatisfactory Parameter System Shutdown                        the relays will shut down the system. This is an excellent
              An unsatisfactory parameter for any critical input immedi-               example of redundancy, fail-safe design principles, and effec-
              ately shuts down the system. The control system typically                tive design philosophy.
              receives critical input information as shown in Figure 12.7.
              The pressure switch PSLL-03073 is wired so that if it fails,             12.1.5.3 Local Reset Required after System Shutdown
              the voltage is interrupted to the relay (CR-xx) and the pro-
                                                                                       After a system shutdown caused by an alarm condition, the
              grammable logic controller (PLC). The PLC will then shut
                                                                                       system allows a remote restart only after an operator has
              down the system. If either the switch or the relay fails, the
                                                                                       pressed a reset button located at the combustion system. The
              system shuts down.
                                                                                       operator should perform a visual inspection of the system and
                 In addition, the relay has another contact in series with all
                                                                                       verify the correction of the condition that caused the shutdown.
              the other critical contacts. If any of these contacts open, the
              power cuts off to all ignition sources (all fuel valves, igniters,
              etc.), immediately shutting down the combustion system.                  12.1.5.4 Watchdog Timer to Verify PLC Operation
                 In Figure 12.8, if there is a failure anywhere in the circuitry,      If the PLC logic freezes, a separate timer fails to receive an
                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              the system shuts down. Even if damage to the PLC occurs,                 expected reset pulse from the PLC and shuts down the system.
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                   12.1.6 Pipe Racks and Control Panels                                                               Typical control panels are shown in Figures 12.10a and b.
                                                                                                                   Figure 12.11 shows the inside of the large control panel. The
                   For most combustion control systems, two major assemblies
                                                                                                                   control panel is usually attached to the pipe rack. All of the
                   comprise the bulk of the system: the pipe rack and the control
                                                                                                                   devices on the pipe rack, as well as the field devices, are
                   panel. A pipe rack is shown in Figure 12.9. Sometimes called
                                                                                                                   electrically connected to the control panel. The control system
                   a skid, the pipe rack is a steel framework that has a number of
                   pipes and associated components attached to it. Usually, most                                   usually resides inside the control panel. In addition to the
                   of the combustion process feeds such as air, fuel, and waste                                    wiring, maintenance, and troubleshooting benefits mentioned
                   have their shutoff and control elements located on the pipe                                     above, another benefit to packaging the control system is far
                   rack. This makes maintenance and troubleshooting more con-                                      more important — the people who designed and built the
                   venient and reduces the amount and complexity of wiring                                         system can test and adjust it at the factory. When the control
                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   systems required to connect all of the components.                                              system arrives at the job site, installation consists mostly of
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FIGURE 12.10a Large control panel. FIGURE 12.10b Small control panel.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   burner light-off sequences. Position switches are often used                   tial expansion of two different metals generates physical
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              movement. The movement opens or closes one or more sets                 panel, but some newer systems have everything located in
              of contacts. The failure mode of temperature switches is not            the scanner housing, which mounts on the burner end plate.
              always predictable. Generally, installation requires open con-          One limitation with flame scanners is the possibility of the
              tacts when the switch is in the alarm condition.                        power wire to the scanner inducing false flame indications in
                                                                                      the signal wire from the scanner. If there are separate wires
              12.2.1.5 Flow Switches                                                  for scanner power and scanner signal, they must run in sepa-
              Flow switches are sensors that generally insert into the pipe           rate conduits or shielding to prevent false signals caused by
              or duct in which flow is measured. Because of the lack of a             induction.
              quantitative readout and the improved reliability of analog
              transmitters in this service, these devices are becoming less           12.2.1.8 Solenoid Valves
              common. Their failure mode is not always predictable. Usual             Solenoid valves are turned on or off by the presence or
              installation requires open contacts when the switch is in the           absence of voltage from the control system. A solenoid valve
              alarm condition.                                                        has a relay coil that links mechanically to a valve disc mecha-
                                                                                      nism. Energizing the solenoid causes the linkage to push
              12.2.1.6 Run Indicators                                                 against a spring to reposition the valve disc. De-energizing
              A run indication sensor shows whether or not a pump or fan is           the solenoid allows the spring to force the valve to the failure
              running. It is usually possible to order a motor starter with a         position. The most common types of solenoid valves are two-
              built-in set of signal contacts that close when the starter motor       way and three-way valves. Two-way valves have two posi-
              contacts are closed. However, that does not always ensure that          tions. They either allow flow or they do not. They are often
              the pump is running and pumping fluid. A magnetic shaft                 used to turn pilot gas on and off. Three-way solenoid valves
              encoder rotates a magnetic slug past a pickup sensor every              have three ports but still only two positions. If ports are
              revolution and provides positive indication of shaft revolution,        labeled A, B, and C, energizing the valve may allow flow
              but that too does not always ensure that the pump is pumping            between ports A and B, while de-energizing the valve may
              fluid. It is usually preferable to have a pressure or flow indica-      allow flow between ports A and C. It is very important to
              tor that shows that the system is functioning normally and              carefully select, install, and test three-way solenoid valves.
              moving fluid.                                                           Three-way solenoid valves typically attach to control valves
                                                                                      and safety shutoff valves (SSOVs). In the case of control
              12.2.1.7 Flame Scanners                                                 valves, when the solenoid valve is energized, the control
              Flame scanners are crucial to the safe operation of a com-              valve is enabled for normal use. When the solenoid valve is
              bustion system. If the flame is out, the fuel flow into the             de-energized, the instrument air is dumped from the control
              combustion enclosure is stopped and the area is purged                  valve actuator diaphragm, causing the control valve to go to
              before a re-light can be attempted. Flame scanners come in              its spring-loaded failure position. For safety shutoff valve
              two main varieties: infrared and ultraviolet. The name tells            (SSOV) service, the solenoid valve is hooked up so that when
              which section of the electromagnetic spectrum it is designed            energized, instrument air is allowed to reposition the SSOV
              to see. Generally, ultraviolet scanners are preferred because           actuator away from its spring-loaded failure position. When
              they are more sensitive and quicker to respond. The detector            the solenoid valve is de-energized, the air is dumped from the
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              is a gas-filled tube that scintillates in the presence of flame         SSOV actuator, causing the control valve to go to its spring-
              ultraviolet radiation and emits bursts of current, called an            loaded failure position. The failure modes of the solenoid
              avalanche, several hundred times per second as long as the              valve, control valve, and SSOV are coordinated to maximize
              flame continues. When the flame stops, the current stops.               system safety no matter which component fails.
              There is a 2- to 4-second delay, to minimize spurious shut-
              downs, and then the contacts open to designate the alarm                12.2.1.9 Ignition Transformers
              condition. Most systems have two flame scanners and both                Ignition transformers supply the high voltage necessary to
              scanners must fail to achieve system shutdown. Use of infra-            generate the spark used to ignite the pilot flame during sys-
              red scanners is desirable if there is a waste stream, such as           tem light-off. The type of transformer usually used converts
              sulfur, that absorbs ultraviolet light and makes operation of           standard AC power to a continuous 6000 V DC. This voltage
              ultraviolet scanners unreliable. Self-checking scanners are             then continuously jumps the spark gap at the igniter, which is
              usually used. They have output contacts that open on either             located at the head of the pilot burner. High-energy igniters
              loss of flame or failure of the self-check. Usually, the con-           provide a more intense spark. A high-energy igniter is similar
              tacts are part of an amplifier/relay unit located in the control        to the transformer mentioned above except that a capacitor is
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                                                                                                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   valves from a catalog because they are the right size for the
                   line where they will be used. Control valves must be engi-
                   neered for their specific application. A typical pneumatic
                   control valve is shown in Figure 12.13.
                      As shown in Figure 12.14, the type of service and control
                   desired determines the selection of different flow character-
                   istics and valve sizes. Controls engineers use a series of cal-            FIGURE 12.13 Pneumatic control valve.
                   culations to help with this selection process. A typical control
                   valve consists of several components that are mated together                                     100
                   before installation in the piping system.
                                                                                                                    80            Quick Open
                   12.2.2.1.1 Control Valve Body
                                                                                                     Percent Flow
                                                                                                          12.2.2.2 Thermocouples
                                                                                                          Whenever two dissimilar metals come into contact, current
                                                                                                          flows between the metals, and the magnitude of that current
                                                                                                          flow, and the voltage driving it, vary with temperature. This
                                                                                                          phenomenon is called the Seebeck effect. If both metals are
                                                                                                          carefully chosen and are of certain known alloy compositions,
              FIGURE 12.16 Thermowell and thermocouple.                                                   the voltage will vary in a nearly linear manner with tempera-
                                                                                                          ture over some known temperature range. Because the tem-
                                                                                                          perature and voltage ranges vary depending on the materials
              controller and converts it into a pneumatic signal. The signal                              employed, engineers use different types of thermocouples for
              causes the diaphragm of the actuator to move to properly                                    different situations. In combustion applications, the K type
              position the control valve.                                                                 thermocouple (0 to 2400°F, or –18 to 1300°C) is usually used.
                                                                                                          When connecting a thermocouple (see Figure 12.15) to a
              12.2.2.1.4 Positioner
                                                                                                          transmitter, the transmitter should be set up for the type of
              The positioner is a mechanical feedback device that senses
                                                                                                          thermocouple employed. Installing thermocouples in a protec-
              the actual position of the valve as well as the desired position
                                                                                                          tive sheath know as a thermowell (see Figure 12.16), prevents
              of the valve. It makes small adjustments to the pneumatic
                                                                                                          the sensing element from suffering the corrosive or erosive
              output to the actuator to ensure that the desired and the actual
                                                                                                          effects of the process being measured. However, a thermowell
              positions are the same. Current conventional wisdom states
                                                                                                          also slows the response of the instrument to changing temper-
              that positioners should be used only on “slow” systems and
                                                                                                          ature and should be used with care.
              not on “fast” systems, where they can actually degrade per-
              formance. There is no defined border between “fast” and
              “slow,” but virtually all combustion control applications are                               12.2.2.3 Velocity Thermocouples
              considered to be “slow,” so positioners are almost always                                   Also known as suction pyrometers, the design of velocity
              used in these systems.                                                                      thermocouples attempts to minimize the inaccuracies in tem-
                                                                                                          perature measurement caused by radiant heat. Inside a com-
              12.2.2.1.5 Three-way Solenoid Valve                                                         bustor, the thermocouple measures the gas temperature.
              When energized, the three-way (3-way) solenoid valve                                        However, the large amount of heat radiated from the hot sur-
              admits air to the actuator. When de-energized, it dumps the                                 roundings significantly affects this measurement. If a thermo-
              air from the actuator. Because single-acting actuators are                                  couple is shielded from its surroundings by putting it in a
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   hollow pipe as shown in Figure 12.16, the response time is                 in which it is calibrated. In recent years, these devices have
                   slowed because the thermocouple is now located in a shield-                become more accurate and sophisticated, with onboard intel-
                   created low-flow zone. Drawing suction on the shield quickly               ligence and self-calibration capabilities. They are available in
                   pulls gas in from the combustor and the response time                      a wide variety of configurations and materials, and can be
                   improves. Using velocity thermocouples (see Figure 12.17)                  used in almost any service. It is possible to remotely check
                   provides a high degree of precision in combustion tempera-                 and reconfigure these “smart” pressure transmitters using a
                   ture measurement.                                                          handheld communicator.
              12.2.2.6.2 Magnetic Flow Meter                                         wide range. They are generally more expensive and their reli-
              A magnetic field, a current-carrying conductor, and relative           ability is not as good as some other types.
              motion between the two create an electrical generator. In the
              case of a magnetic flow meter, the meter generates the mag-            12.2.2.6.5 Ultrasonic Flow Meter
              netic field and the flowing liquid supplies the motion and the         When waves travel in a medium (fluid), their frequency shifts
              conductor. The voltage produced is proportional to the flow.           if the medium is in motion relative to the wave source. The
              These meters are highly accurate, very reliable, and have a            magnitude of the shift, called the Doppler effect, is propor-
              wide range, but are somewhat expensive. They are useful                tional to the relative velocity of the source and the medium.
              with highly corrosive or even gummy fluids, as long as the             The ultrasonic meter generates ultrasonic sound waves, sends
              fluids are conductive. Only liquid flow is measured.                   them diagonally across the pipe, and computes the amount of
                                                                                     frequency shift. These meters are reasonably accurate, have a
              12.2.2.6.3 Orifice Flow Meter                                          fairly wide range, are reasonably priced, and are highly reli-
                                                                                     able. Ultrasonic meters work best when there are bubbles or
              Historically, almost all flows were measured using this
                                                                                     particulates in the fluid.
              method and it is still quite popular. Placing the orifice in the
              fluid flow causes a pressure drop across the orifice. A pressure       12.2.2.6.6 Turbine Flow Meters
              transmitter mounted across the orifice calculates the flow from        A turbine meter is a wheel that is spun by the flow of fluid
                                                                                                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              the amount of the pressure drop. Orifice meters are very accu-         past the blades. A magnetic pickup senses the speed of the
              rate but have a narrow range. They are reasonably priced,              rotation, which is proportional to the flow. These meters can
              highly reliable, and are useful in liquid, steam, or gas service.      be very accurate but have a fairly narrow range. They must be
                                                                                     very carefully selected and sized for specific applications.
              12.2.2.6.4 Coriolis Flow Meter                                         They are reasonably priced and fairly reliable. They are used
              The Coriolis flow meter is easily the most complex type of             in liquid, steam, or gas service.
              meter to understand. The fluid runs through a U-shaped tube
              that is being vibrated by an attached transducer. The flow of          12.2.2.6.7 Positive Displacement Flow Meters
              the fluid will cause the tube to try to twist because of the           Positive displacement flow meters generally consist of a set of
              Coriolis force. The magnitude of the twisting force is propor-         meshed gears or lobes that are closely machined and matched
              tional to flow. These meters are highly accurate and have a            to each other. When fluid is forced through the gears, a fixed
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                   amount of the fluid is allowed past for each revolution. Count-           12.2.2.7.4 Nitrogen Oxides (NOx) Analyzer
                   ing the revolutions reveals the exact amount of flow. These               Nitrogen oxides (NO, NO2, etc.; see Chapter 6) are one of the
                   meters are extremely accurate and have a wide range. Because              main components of smog and are the result of high-temperature
                   there are moving parts, the meters must be maintained or they             combustion. Noxidizers are combustion systems that use an
                   can break down or jam. They also cause a large pressure drop,             extended low-temperature combustion process designed to
                   which can sometimes be important for certain applications.                minimize the formation of nitrous oxide compounds. Noxidiz-
                                                                                             ers use NOx analyzers. To properly control the process, the
                   12.2.2.7 Analytical Instruments                                           NOx analyzer output goes to a controller that controls airflow
                   There are many different types of analytical instruments used             into the system, minimizing NOx formation.
                   for very specific applications. Unlike the sensors described
                                                                                             12.2.2.7.5 Carbon Monoxide (CO) Analyzer
                   previously, these devices are usually systems. They are a com-
                                                                                             CO is also an undesirable pollutant and is a product of
                   bination of several different sensors linked together by a pro-
                                                                                             incomplete combustion. The output of the CO analyzer (see
                   cessor of some sort that calculates the quantity in question.
                                                                                             Figure 10.4a) is often used in the analysis of system effi-
                   Unlike a pressure transmitter, most analytical instruments
                                                                                             ciency or to control airflow to the combustion system.
                   sample and chemically test the process in question. Because
                   the process takes time, the engineer, when designing the
                   system, must plan for a delayed response from the analytical
                   instrument. A detailed discussion of the design and operation             12.3                CONTROL SCHEMES
                   of analytical instruments is beyond the scope of this book;               Other chapters of this book present the combustion process
                   however a list of several of the more common types and their              and the definition of the terms used to describe it. This sec-
                   uses is given below.                                                      tion describes methods used to control the process. Gener-
                                                                                             ally, controlling the process means controlling the flow of
                   12.2.2.7.1 pH Analyzer                                                    fuels and combustion air.
                   Almost any combustion system occasionally requires the
                   scrubbing of effluent or other similar processes. pH monitor-             12.3.1 Parallel Positioning
                   ing is needed to ensure that the water going into the scrubber            Designers use analog control schemes to modulate valve
                   is the correct pH to neutralize the acidity or alkalinity of the          position and control fan and pump speeds to achieve the
                   effluent. The analyzer sends information to a controller that is          required mix of fuel and oxygen in a combustion system.
                   responsible for opening or closing valves that add alkaline               Simple systems often use parallel positioning of fuel and air
                   chemicals to the water to raise pH.                                       valves from a single analog signal.
              of the valves. Analytical feedback to control fuel gas or com-                                               Electronically linked parallel positioning works well if
              bustion air supply pressure can make dynamic corrections for                                              properly designed. Good design requires valves with known
              fuel variations, temperature changes, and system errors.                                                  coefficients throughout valve position and the use of high-
              Dynamic adjustments should be small, trimming adjustments,                                                performance positioners. Supply pressure of fuel and air to
              rather than primary control parameters.                                                                   each valve must be constant or repeatable. System load down-
                                                                                                                        stream of the valves must be of fixed geometry. Section
              12.3.1.2 Electronic Linkage                                                                               12.3.1.3 shows an example of how to calculate and configure
                                                                                                                        a characterizer for the air valve.
              Electronically linked fuel and combustion air valves for par-
                                                                                                                          Figure 12.21 shows a variation of parallel positioning that
              allel positioning have many advantages over mechanically
                                                                                                                        permits use of the combustion air valve for the multiple
              linked valves. Figure 12.20 illustrates the scheme.
                                                                                                                        purposes of:
                 In the example, a TIC (temperature indicating controller)
              generates a firing rate demand. The controller applies an                                                      1. supplying combustion air during normal operation
              output of 4 to 20 mA to the fuel valve and to a characterizer                                                  2. supplying quench air when burning exothermic waste
              in the air valve circuit. Electronic shaping of the characterizer
                                                                                                                             3. using another heat source requiring quench air
              output positions the air valve for correct airflow. Predictable
              and repeatable valve positions require the use of positioners                                             When showing a range of milliampere signals, the first value
              at each valve. Without positioners, valve hysteresis causes                                               is the minimum valve position and the second value is the
              large errors in flow rate.                                                                                maximum valve position. This convention aids system analy-
                 Signal inversion (1 minus the value being measured) is                                                 sis and is especially useful for complex systems. The TIC
              sometimes integral to the characterizer. Signal inversion is                                              output is split-ranged. The top half (12 to 20 mA) is used for
              necessary because the air valve fails open and the fuel valve                                             firing fuel gas. When burning exothermic waste requiring
              fails closed. Safety concerns dictate failure modes. Fuel should                                          quench air, the temperature controller output decreases, pro-
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              always fail to minimum and air should fail to maximum.                                                    viding low fire fuel at 12 mA, then quench air below 12 mA.
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                      The TIC output is actually 4 to 20 mA. The description of            12.3.1.3 Characterizer Calculations
                   the action of the receivers uses the term “split-ranged.” For           Parallel positioning of a globe-type fuel gas valve and a
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   example, the TIC applies the entire 4 to 20 mA range to the             butterfly-type combustion air valve requires characterizer
                   fuel gas valve, but the valve is configured to respond only to          calculations as described below. Figure 12.20 shows the
                   the partial range of 12 to 20 mA.                                       control scheme.
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                                                     Gas Valve %Open vs %Flow                                       the valve is approximately 25% open for many applications.
                                           120                                                                      Maximum firing rate occurs between 70 and 80% open, result-
                                           100
                                                                                                                    ing in a near-linear function of flow rate vs. valve position
                                           80
                                                                                                                    throughout the firing range. The linear function is not neces-
                                  % Flow
                                           60
                                           40
                                                                                                                    sary for configuring a combustion air characterizer, but is
                                           20                                                                       useful for the application of a dynamic fuel:air ratio correction
                                             0
                                                 0      20           40            60            80        100
                                                                                                                    to the control circuit.
                                                                   % Open                                              Use of a positioner on the fuel gas valve establishes equal-
                                                                                                                    ity between percent control signal and percent valve opening.
              FIGURE 12.22 Fuel flow rate versus control signal.                                                    Columns 1 and 2 of Table 12.1 show gas valve data.
                                TABLE 12.1 Gas Valve Data                                                           12.3.1.3.2 Step 2: Air Flow Rate vs. Air Valve Position
                                                                                                  Fuel Gas          Calculation of air flow rate versus vs. position that is predict-
                                Control Signal TIC                      Gas Valve                 Flow Rate         able and repeatable requires:
                                    Output %                            % Open                       %
                                                  10                           10                         10
                                                                                                                         1. known and repeatable valve inlet pressure vs. flow rate
                                                  20                           20                         16             2. near-constant temperature
                                                  30                           30                         25             3. high-quality positioner on the valve
                                                  40                           40                         39             4. knowledge of valve coefficient and pressure recovery fac-
                                                  50                           50                         58                tor of the air valve at all valve positions
                                                  60                           60                         83
                                                  70                           70                        100
                                                                                                                         5. fixed and known flow (pressure drop) geometry down-
                                                  80                           80                        107                stream of the control valve
                                                  90                           90                        109
                                                 100                          100                        110          Figure 12.23 shows the results of a typical butterfly-type
                                                                                                                    valve calculation for Step 2. The low fire mechanical stop is
                                                                                                                    normally set at approximately 20% open.
                   in the parallel positioning scheme, is not required. Instead,                                                                                         Air Valve %Open vs %Flow
                   controller output mode is configured to match the valve                                                                                     160
                                                                                                                                                               140
                   failure mode.                                                                                                                               120
                                                                                                                                                   % Flow
                                                                                                                                                               100
                       Controller output mode, reverse or direct acting, defines the                                                                            60
                                                                                                                                                                80
                   change in output signal direction with respect to process vari-                                                                              40
                                                                                                                                                                20
                   able changes. For example, if the controller output increases                                                                                 0
                                                                                                                                                                     0                 50             100
                   as the process variable increases, the controller mode is direct                                                                                              % Open
                   acting. In combustion control schemes, fail-closed fuel valves
                   require a reverse-acting flow controller, while fail-open com-                                           FIGURE 12.23 Typical butterfly-type valve calculation.
                   bustion air valves require direct acting flow controllers. From
                   controller mode definitions, it is clear that the temperature                                                TABLE 12.2 Data for Characterizer
                   controller (TIC) should be reverse acting. That is, the TIC                                                                                             Fuel Gas          Combustion
                                                                                                                                Control Signal TIC                         Flow Rate        Air Flow Rate   Air Valve
                   output should decrease, reducing the firing rate, in response                                                    Output %                                  %                   %         % Open
                   to an increase in temperature, the process variable.
                                                                                                                                            10                                 10                10             5
                       Addition of high and low signal selectors provides cross lim-                                                        20                                 16                16            13
                   iting of the fully metered control scheme, as shown in Figure                                                            30                                 25                25            22
                   12.26. The low signal selector (<) compares demanded firing rate                                                         40                                 39                39            29
                                                                                                                                            50                                 58                58            33
                   from the TIC to the actual combustion air flow rate and applies
                                                                                                                                            60                                 83                83            41
                   the lower of the two signals as the setpoint to the fuel flow                                                            70                                100               100            46
                   controller. The low signal selector ensures that the fuel setpoint                                                       80                                107               107            48
                   cannot exceed the amount of air available for combustion.                                                                90                                109               109            49
                                                                                                                                           100                                110               110            50
                       The high signal selector (>) compares demanded firing rate
                   from the TIC to actual fuel flow rate and applies the higher
                   of the two signals as the setpoint to the airflow controller.                                                                                           Air Valve Characterizer
                                                                                                                                                                60
                   This ensures that the air setpoint is never lower than required                                                                              50
                                                                                                                                                    % Output
                   flow during load increases and for air flow to lag fuel flow
                   during fuel decreases. This lead/lag action explains why the
                                                                                                                            FIGURE 12.24 The required shape of the air valve
                                                                                                                            characterizer.
                   fully metered cross-limiting control system is often called
                   “lead-lag” control. Whatever the name, the system performs
                   the function of maintaining the desired air:fuel mixture during
                                                                                                                            multiplier gives a fixed trim gain. Substituting a summing
                   load changes. The system also provides fuel flow rate reduc-
                                                                                                                            function for the multiplier would result in high trim gain at
                   tion in the event air flow is lost or decreased.
                                                                                                                            low flow rates and could produce a combustion air deficiency.
                       It is possible to trim the control scheme using measurement
                   of flue gas oxygen content, as illustrated in Figure 12.27. For                                             Oxygen trim may be applied to the combustion airflow
                   most systems, the oxygen signal should be used to “trim,” and                                            controller setpoint rather than the flow transmitter signal. If
                   not be a primary control. Many oxygen analyzers are high                                                 this technique is used, the airflow signal to the low signal
                   maintenance and/or too slow in response to be used as a                                                  selector must retain trim modification (see Figure 12.28 for
                   primary control in the combustion process. As shown, the                                                 the scheme).
                   oxygen controller is utilized for setpoint injection and provides
                   tuning parameters to help process customization. High and                                                   Multiple fuels and oxygen sources are accommodated by
                   low signal limiters restrict the oxygen controller output to a                                           the cross-limiting scheme, as shown in Figure 12.29. When
                   trimming function, normally 5 to 10% of the normal combus-                                               multiple fuels are used, heating values must be normalized
                   tion air flow rate.                                                                                      by adjusting flow transmitter spans or by addition of heating
                       A multiplication function (X) in the combustion airflow                                              value multipliers. Similar methods are used to normalize
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   transmitter signal makes the oxygen trim adjustment. The                                                 oxygen content for multiple air sources.
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              12.4                                                   CONTROLLERS      other devices by analog signals. The analog signal is usually
                                                                                      4 to 20 mA, DC.
              Controllers have historically been called analog controllers               In Figure 12.30, the setpoint is a signal representing the
              because the process and I/O signals are usually analog. Con-            desired value of a process. If the process is flow rate, the
              troller internal functions performed within a computer or               setpoint is the desired flow rate. Setpoint signals can be gen-
              microprocessor by algorithm are sometimes called digital                erated internally within the controller, called the local set-
              controllers, although the I/O largely remains analog. Some              point, or may be an external signal, called the remote setpoint.
              digital controllers communicate with other devices via digital             Controller output, called the controlled variable (CV) or
              communication, but for the most part, controllers connect               the manipulated variable (MV), connects to a final element
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                   in the process. In this example of flow control, the final                                                 of error by increasing controller gain is limited by controller
                   element is probably a control valve. Feedback from the pro-                                                instability at high gain.
                   cess, called the process variable (PV) in this example, could                                                 Offset is the term given to the difference between the set-
                   be the signal from a flow meter.                                                                           point and process variable. Correction of offset was the first
                      The controlled variable (CV) is generated within the con-                                               improvement made to the original controller. Offset correc-
                   troller by subtraction of feedback (PV) from the setpoint (SP),                                            tion was accomplished by adding bias to the controller output:
                   generating an error signal e, which is multiplied by a gain K.
                                                                                                                                                           Output(CV) = eK + Bias                     (12.2)
                   The product eK is the controller output (CV).
                                                                                                                              Bias adjustment required operator manipulation of a knob or
                                                                           Output(CV) = (SP − PV)( K ) = eK   (12.1)          lever on the controller, which added bias until setpoint and
                                                                                                                              process variables were equal. The operator considered the
                      This simple controller is an example of the first controller                                            controller “reset” when equality occurred. Each setpoint
                   built in the early 20th century and is called a proportional                                               change or process gain change required a manual reset of the
                   controller. The output is proportional to the error signal. The                                            controller. Figure 12.31 illustrates the proportional controller
                   proportional factor is the gain K. Proportional controllers                                                with manual reset.
                   require an error (e) to produce an output. If the error is zero,                                              Many operators prefer the term “proportional band” when
                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   the controller output is zero. To obtain an output that produces                                           describing controller gain. Proportional band is defined as:
                   the correct value of the process variable, the operator is
                   required to adjust the setpoint higher than the desired process                                                                                                       100 100%
                                                                                                                                              Proportional band ( PB) =                       =       (12.3)
                   variable in order to create the requisite error signal. Reduction                                                                                                     Gain   K
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              Proportional band represents the percent change in the pro-                                               reset) is highest with large errors and continues until the error
              cess variable (PV) required to change the controller output                                               is reduced to zero. Figure 12.32 illustrates automatic reset.
              100%. For example, a controller gain of 1 (K = 1.0) requires                                                 Automatic reset is the “I” component of a PID (three-mode)
              a PV change of 100% to obtain a 100% change in controller                                                 controller. P is proportional gain and D is derivative (rate)
              output. Proportional bands for combustion process variables                                               gain. I is expressed as repeats per minute (RPM), or as min-
              are generally in the range of 1000% to 20% (Gain = 0.1                                                    utes per repeat (MPR), depending on the controller manufac-
              to 5.0). Flow controller gains are always less than unity.                                                turer’s choice of terms. Some controllers permit user selection
              Temperature controller gains vary from 0.1 to 3.0, depend-                                                of the term. Controller output is the same regardless of termin-
              ing on the process gain. Pressure controllers generally have                                              ology, but the operator must know and apply proper tuning
              gains higher than those of flow or temperature controllers.                                               constants. For example, if tuning requires an I of 2 RPM, the
              Controller output becomes unstable (oscillatory) when the                                                 operator must enter 0.5 MPR into the controller if MPR is
              gain is too high. When instability occurs, the controller oper-                                           the terminology in use. Integral gain of 0.5 MPR means that
              ating mode must be changed from automatic to manual to                                                    automatic reset equal to the proportional gain will be applied
              stabilize the process and prevent equipment damage. A                                                     at the controller output each 30 seconds. Integral gain is a
              reduction of controller gain must occur before a return to                                                smooth continuous process that contributes phase lag to the
              automatic mode.                                                                                           system. Additional phase lag contributes to system instability
                 Automatic reset was the next improvement to the process                                                (oscillation), which prohibits high values of integral gain.
              controller. This was a most welcome addition that eliminated                                                 Derivative gain D is a function of how fast the process
              the need for manual reset. Automatic reset is a time integral                                             variable is changing. For slow changing processes, derivative
              of the error signal, summed with the proportional gain signal                                             gain is of little use. Derivative gain is not used on flow control
              to produce the controller output. Integral gain (controller
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                        loops with head meters or on other loops with noisy process
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Controller Process
                                                                                                                  Controlled
                                                       Setpoint (S.P.)   (+)          e                            Variable             (CV)
                                                                               +            K
(-)
                                                                                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                    Feedback             (PV)
                   variable signals. High noise levels will drive derivative gain                      direction of controller output when the process variable
                   to instability. Derivative gain contributes phase lead that can                     changes. Reverse acting means the controller output decreases
                   sometimes be beneficial.                                                            if the process variable increases. An example illustrates how
                      Controllers have many modes of operation. P, I, D, auto-                         to select reverse or direct.
                   matic, and manual modes have been discussed. Reverse or                                In this example of flow control, the process variable
                   direct mode is another choice that must be configured to                            (flow rate) increases when the final element (control valve)
                   match the process. Reverse or direct describes the change in                        opens. In addition, the flow meter output or process variable
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Controller Process
                                                                                                                                                  Controlled
                                                                           Setpoint (S.P.)
                                                                                             (+)         e                                         Variable             (CV)
                                                                                                   +           K               +
                                                                                                   (-)                 Bias
Feedback (PV)
Controller Process
                                                                                                                                                  Controlled
                                                                           Setpoint (S.P.)
                                                                                             (+)         e                                         Variable             (CV)
                                                                                                   +               K           +
                                                                                                   (-)           Time
                                                                                                               Integral
Feedback (PV)
              (PV) increases with increased flow rate. If the control valve                                                   manual tuning. A controller tuned at low flow rates or low
              fails closed, and opens on increasing signal (increasing con-                                                   temperature could become unstable at high flow rates or high
              troller output), the controller mode must be reverse acting.                                                    temperatures. Control of most process loops benefits from
              That is, if PV increases, the controller output must decrease                                                   addition of feedforward components that relieve the feedback
              to close the valve and restore flow rate to the correct value.                                                  controller of primary control. Operation improves if the feed-
              If the control valve fails open (closes on increasing signal),                                                  back controller functions as setpoint injection and error trim-
              the controller mode must be direct acting. This example illus-                                                  ming of the feedforward system.
              trates the need to know if each element in a control loop is
                                                                                                                                 Many processes controlled by a current proportional con-
              reverse or direct acting, including transmitters, isolators,
                                                                                                                              troller successfully use the tuning procedure below. The pro-
              transducers (such as I/Ps), positioners, and actuators. Proper
                                                                                                                              cess must be upset to produce oscillations of the process
              selection and configuration of loop elements provide not only
                                                                                                                              variable. A graphic recorder should be used to determine
              proper operation, but also proper failure mode. Reversal of
                                                                                                                              when the oscillations are constant and to ascertain the time
              any two elements within a loop will not affect loop response,
                                                                                                                              for one cycle (oscillation).
              but failure modes will change.
                                                                                                                                   1. In manual mode, adjust the output to bring the process
                                                                                                                                      variable (PV) near the desired value.
              12.5                                                       TUNING
              Many modern controllers have built-in automatic tuning rou-                                                          2. Set the Rate Time to 0 minutes and set Reset Time to the
              tines. Tuning parameters calculated automatically require a                                                             maximum value (50.00 min), or set repeats per minute
              loop upset to enable calculation. Parameters are normally de-                                                           (RPM) to the minimum value to minimize reset action.
              tuned considerably from optimum because process gains are                                                            3. Increase gain (decrease proportional band PB) signifi-
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              often nonlinear. Variable loop gain can also be a problem for                                                           cantly. Try a factor of 10.
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                                                                     4. Adjust local setpoint to equal PV and switch to automatic                   2. Combustion Control, 9ATM1, Fisher Controls, Mar-
                                                                        mode.                                                                          shalltown, IA, 1976.
                                                                     5. Increase the setpoint by 5 or 10% and observe PV
                                                                        response.                                                                   3. Boiler Control, Application Data Sheet 3028, Rose-
                                                                     6. If the process variable oscillates, determine the time for                     mount, Inc., Minneapolis, MN, 1980.
                                                                        one oscillation. If it does not oscillate, return to the orig-
                                                                        inal setpoint, increase the gain again by a factor of 2, and                4. Instrumentation Symbols and Identification, ANSI/ISA
                                                                        repeat Step 5.                                                                 – S5.1 – 1984, Instrument Society of America, Research
                                                                     7. If the oscillation of Step 6 dampens before cycle time is                      Triangle Park, NC, 1984.
                                                                        measured, increase the gain slightly and try again. If the
                                                                        oscillation amplitude becomes excessive, decrease gain                      5. Temperature Measurement Thermocouples, ANSI –
                                                                        slightly and try again.                                                        MC96.1 – 1984, Instrument Society of America,
                                                                     8. Record the current value of gain, and record the value for                     Research Triangle Park, NC, 1984.
                                                                        one completed oscillation of PV.
                                                                     9. Calculate gain, reset, and rate:                                            6. F.G. Shinskey, Process Control Systems, Application,
                                                                        a. For PI (two-mode controller):                                               Design, and Tuning, 3rd ed., McGraw-Hill, New York,
                                                                            Gain = Measured gain × 0.5                                                 1988.
                                                                            Reset time = Measured time/1.2 (MPR)
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                        b. For PID (three-mode controller):                                         7. M.J.G. Polonyi, PID controller tuning using standard form
                                                                            Gain = Measured gain × 0.6                                                 optimization, Control Engineering, March, 102-106,
                                                                            Reset time = Measured time/2.0 (MPR)                                       1989.
                                                                            Rate = Measured time/8.0 (min)
                                                                    10. Enter the values of gain, reset, and rate into the controller.              8. D.W. St. Clair, Improving control loop performance,
                                                                    11. Make additional trimming adjustments, if necessary, to                         Control Engineering, Oct., 141-143, 1991.
                                                                        fine-tune the controller.
                                                                                                                                                    9. Controller Tuning, Section 11, UDC 3300 Digital
                                                                    12. To reduce overshoot: less gain, perhaps a longer rate time.
                                                                    13. To increase overshoot or increase speed of response: more                      Controller Product Manual, Honeywell Industrial
                                                                        gain, perhaps shorter rate time.                                               Automation, Fort Washington, PA, 1992.
              response-surface
                  contours
                                                                                 
p
                                                                    all                                                     direction of
                                                                                 a2l                                          steepest
                                                                                                                               ascent
                                                                    old design
                                                                                        new design
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Chapter 13
                                        Experimental Design for
                                        Combustion Equipment
                                                                                                                                                                                            Joseph Colannino
TABLE OF CONTENTS
                                                                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              References ....................................................................................................................................................................................429
              13.1            INTRODUCTION TO                                                                         Third, statisticians rather than engineers write most SED
                              EXPERIMENTAL DESIGN                                                                  texts. Therefore, SED texts usually do not incorporate the
              Statistical experimental design (SED) is a method for con-                                           domain knowledge that engineers find so indispensable.
              structing experiments that will mute the muddling effect of                                          Domain knowledge is a specialized understanding in a
              experimental error and increase experimental efficiency. SED                                         nonstatistical branch of science or engineering — for example,
              leads to better and less-expensive data analysis. It is far supe-                                    NOx formation or combustion fundamentals. This chapter
              rior to the classical one-factor-at-a-time experimentation often                                     provides a cursory overview of SED related to the performance
              taught in school. Classical experimentation cannot account for                                       characterization of burners and combustion equipment.
              variable interactions. Classical experimentation often leads to
              false conclusions, for example, that one has arrived at an opti-                                     13.1.1 The Power of SED: A Burner NOx
              mal place, when in fact one has not. Figure 13.1 contrasts clas-                                            Example
              sical and SED methods. SED is a powerful tool used by too                                            Consider a manufacturer that makes many different burners.
              few engineers. This disuse is due to several factors. First, engi-                                   To compete, the company must make certain performance
              neers and scientists can successfully (though not as efficiently)                                    guarantees. These guarantees could concern heat release,
              experiment without SED. SED is a power tool. In the hands of                                         turndown, flame length, heat flux profile, or combustion-
              a skilled practitioner, it reduces the time for experimentation                                      related pollutants like NOx and CO. Uncertainty in any of
              and squeezes the most information from the data.                                                     these areas may force the company to decline to bid or to
                 Second, SED vocabulary contains alien terms because stat-                                         increase the bid price to cover the risk of redesign. Neither of
              isticians first applied the methods to agricultural problems.                                        these alternatives is attractive. Declining to bid surrenders the
              Terms like “treatment” and “block” have obvious meanings in                                          job to a competitor. Inflating the price to cover risk will make
              agriculture and obscure meanings to the practicing engineer.                                         the burner less competitive. Even if the company wins the
              Engineers prefer terms like variable and experimental series.                                        job, it may spend more than it anticipated achieving the per-
              This chapter is written from an engineering perspective, rather                                      formance it guaranteed. Thus, performance uncertainty trans-
              than a statistical perspective. However, the bulk of SED knowl-                                      lates directly to lost profit and lost opportunity.
              edge is in the statistical literature. Therefore, this chapter con-                                     Suppose a burner generates too much NOx. Many factors
              tains a judicious choice of vocabulary to allow the interested                                       influence NOx response; Table 13.1 provides a partial list.
              reader to consult statistical treatises for further reference.                                       The terms “response” and “factor” are used in a very specific
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                   sense. The response is any dependent variable or output of                                                                   action of the factors must be known. What is the form of the
                   interest. A factor is any input or independent variable that                                                                 model? What explicit equation should be used? What are the
                   affects the response. A given system of interest can have many                                                               coefficient values? Proceeding from a purely theoretical basis,
                   factors and associated responses.                                                                                            it would not be possible to arrive at a reliable explicit formu-
                      Specifying a response and its factors is a necessary first                                                                lation for NOx performance. However, using statistical meth-
                   step, but it is not sufficient to solve the problem. The inter-                                                              ods, the solution is quite tractable. Equation (13.1) gives the
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                                            TABLE 13.1 Some Potential Factors Affecting NOx Response from a Burner
                                               Operating Factors                      Burner Factors                     Furnace Factors                                Ambient Factors
                                            (Constrained by Process)       (Controlled by Burner Manufacturer)     (Controlled by Heater Design)                        (Uncontrollable)
                                            Degree of air preheat          Burner throat diameter                  Available air-side pressure drop                Ambient humidity
                                            Firing rate                    Degree of air staging                   Burner-to-burner spacing                        Ambient air temperature
                                            Fuel composition               Degree of fuel staging                  Burner-to-furnace wall spacing                  Barometric pressure
                                            Furnace temperature            Fuel port arrangement                   Heat release/furnace vol. ratio
                                            Fuel pressure                  Fuel port diameter
                                            Oxygen concentration           Multiple combustion zones
                                            Process fluid flow rate        Number of fuel ports
                                                                                                                                                                                                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                          2200                                                                     x1:   the   reciprocal of the burner spacing
                                                                                                                   x2:   the   reciprocal preheat temperature
                 Furnace Temperature, F
                                          1800
                                                                                                                    1. an explicit functional relationship of the response to the
                                                 1                    2              3                  4              given factors
                                                                                                                    2. the basis for derivative figures and graphs such as Figure
                                                                 Excess Oxygen, %
                                                                                                                       13.2
              FIGURE 13.2 NOx contours for furnace temperature                                                      3. the statistical significance of each coefficient (using the
              and oxygen concentration based on Eq. (13.1).                                                            standard errors)
                                                                                                                    4. safety margin for NOx guarantees
                                                                                                                    5. an equation for feedforward NOx control1
              relation for a family of burners manufactured by John Zink,                                           One can use this knowledge to derive a competitive advan-
              and Figure 13.2 shows a graphical representation for two of                                        tage or control process units with simultaneous constraints
              the factors, furnace temperature and excess oxygen.                                                for product and performance.
                                                                                                                                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 13.3 Fuel-staged burner.
                                 ξ2              is the oxygen concentration (%)                      TABLE 13.2 NOx as a Function of Burner Geometry and
                                 ξ3              is the percent of fuel to the primary                Operation
                                                 combustion zone (%)                                                NOx           Firing Rate,    Oxygen, Conc.,              Fuel to Primary,
                                                                                                       Run         (ppm)        [106 Btu/hr (ξ1)]    [% (ξ2)]                     [% (ξ3)]
                                 ξ1ξ2            is the interaction between the heat release
                                                 and the oxygen (% × 106 Btu/hr)                         1         13,   14                7                       1                20
                                                                                                         2         18,   19               13                       1                20
                                 ε               is the experimental error (ppm)                         3         27,   24                7                       5                20
                                                                                                         4         26,   24               13                       5                20
                   Interaction accounts for synergy between factors — some-                              5         18,   19                7                       1                50
                                                                                                         6         21,   22               13                       1                50
                   thing classical experimentation cannot do. In the present                             7         28,   29                7                       5                50
                   case, the investigators proposed Eq. (13.2) based on their                            8         29,   27               13                       5                50
                   experience. However, with SED, one arrives at the form
                   directly, as Section 13.2.3 will demonstrate.
                                                                                                      squares calculates coefficients such that they minimize the
                   13.1.3 The Method of Least Squares                                                 sum of the squared deviations from the presumed model. The
                   Table 13.2 gives two replicates of the NOx response for nom-                       model need not be linear and may contain quadratics, tran-
                   inal values of each factor. The replicates differ presumably by                    scendental functions, etc. Table 13.2 comprises eight experi-
                   experimental error. The value of the coefficients is found                         mental conditions and 16 NOx values. Equation (13.3)
                   using the technique of least squares. The technique of least                       explicitly indexes each response.
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                                                                                                                                                                        ∑ [ y − (a                                                               ]
                y1   a0 + a1ξ1,1 + a2 ξ 2,1 + a3 ξ 3,1 + a12 ξ1,1ξ 2,1                                                                                        ∂
                                                                                                                                                                                              + a1ξ1 + a2 ξ 2 + a3 ξ 3 + a12 ξ1ξ 2 ) = 0 (13.9)
                                                                                                                                                                                                                                                     2
                 =                                                     
                M   M        M         M          M           M        
                                                                                                                                                                        ∑ [ y − (a                                                               ]
                y  a + a ξ + a ξ + a ξ + a ξ ξ                                                                                                                ∂
                                                                                                                                                                                              + a1ξ1 + a2 ξ 2 + a3ξ 3 + a12 ξ1ξ 2 ) = 0 (13.10)
                                                                                                                                                                                                                                                 2
                16   0     1 1,16   2 2 ,16    3 3,16    12 1,16 2 ,16 
                                                                                                                                                                 ∂a3                     0
 ε1 
                                                                                                                                                                         ∑ [ y − (a                                                              ]
                                                                             ε2                                                                                 ∂
                                                                                                                                                                                              + a1ξ1 + a2 ξ 2 + a3 ξ 3 + a12 ξ1ξ 2 ) = 0 (13.11)
                                                                                                                                                                                                                                                     2
                                                                           +                                                                      (13.3)       ∂a12                     0
                                                                             M 
                                                                            ε 
                                                                             16                                                                                 Equations (13.7) through (13.11) reduce to five simulta-
                                                                                                                                                                neous equations, one for each coefficient. Equation (13.12)
                 Although there are 16 observations of the response, only                                                                                       expresses them in a single (symmetrical) matrix form:
              five coefficients — a0, a1, a2, a3, and a12 — are calculated.
              Equation (13.4) is expressed in matrix form. For a brief review
              of matrices, see Section 13.7.
                                                                                                                                                                
                                                                                                                                                                   ∑ y   n ∑ ξ ∑ ξ ∑ ξ ∑ ξ ξ   a  1             2             3                 1 2
                                                                                                                                                                    ∑ ξ y   ∑ ξ ∑ ξ ∑ ξ ξ ∑ ξ ξ ∑ ξ ξ   a 
                                                                                                                                                                                                                                                                 0
                                                                                                                                                                        1                      1
                                                                                                                                                                                                           2
                                                                                                                                                                                                           1             1 2           1 3
                                                                                                                                                                                                                                                         2
                                                                                                                                                                                                                                                         1 2
                                                                                                                                                                                                                                                                1
                                                                a0 
                    y1  1 ξ1,1 ξ 2,1 ξ 3,1 ξ1,1ξ 2,1     ε1 
                                                                                                                                                                
                                                                                                                                                                
                                                                                                                                                                    ∑ ξ y  =  ∑ ξ ∑ ξ ξ ∑ ξ ∑ ξ ξ ∑ ξ ξ   a 
                                                                                                                                                                          2                     2          1 2
                                                                                                                                                                                                                         2
                                                                                                                                                                                                                         2             2 3
                                                                                                                                                                                                                                                           2
                                                                                                                                                                                                                                                         1 2     2
                                                                 a
                    y2  1 ξ1,2 ξ 2,2 ξ 3,2 ξ1,2 ξ 2,2   1   ε 2                                                                                         
                                                                                                                                                                
                                                                                                                                                                    ∑ ξ y   ∑ ξ ∑ ξ ξ ∑ ξ ξ ∑ ξ ∑ ξ ξ ξ   aa 
                                                                                                                                                                          3                     3          1 3           2 3
                                                                                                                                                                                                                                       2
                                                                                                                                                                                                                                       3                 1 2 3
                                                                                                                                                                                                                                                                 3
                     =
                    M  M M       M     M
                                                              a2  +  
                                                    M    M 
                                                                                                                                                    (13.4)      
                                                                                                                                                                   ∑ ξ ξ y  ∑ ξ ξ ∑ ξ ξ ∑ ξ ξ ∑ ξ ξ ξ ∑ ξ ξ 
                                                                                                                                                                         1 2                    1 2
                                                                                                                                                                                                           2
                                                                                                                                                                                                           1 2
                                                                                                                                                                                                                           2
                                                                                                                                                                                                                         1 2           1 2 3
                                                                                                                                                                                                                                                         2 2
                                                                                                                                                                                                                                                         1 2
                                                                                                                                                                                                                                                                 4
                    y  1 ξ                                a3        
                    16   1,16 ξ 2,16 ξ 3,16 ξ1,16 ξ 2,16     ε16                                                                                                                                                                                 (13.12)
                                                                a12 
                                                                                                                                                                  Applying the data of Table 13.2 to Eq. (13.12) gives Eq.
                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                ∂a 0                                                                    0
                                                                                                                                                                13.7.3) to obtain Eq. (13.15):
                       ∑ [ y − (a                                                                                                          ]
                 ∂
                                                                                            + a1ξ1 + a2 ξ 2 + a3 ξ 3 + a12 ξ1ξ 2 ) = 0 (13.8)
                                                                                                                                                                                                                     (             )
                                                                                                                                            2
                                                                                                                                                                                               ξ y = ξ ξa + ξ ε = 0
                                                                                                                                                                                                T         T              T
                ∂a1                                                                     0                                                                                                                                                                  (13.15)
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                        The reader can verify that Eq. (13.15) and Eq. (13.12) are                                TABLE 13.3                Transforms for Table 13.4
                     the same least-squares matrix. Thus, Eq. (13.15) provides a                                               Factor           Raw Value                  Transform               Transformed
                     shortcut for obtaining the least-squares equations without the                                i         Description           (ξi)                     (ξi to xi)                 (xi)
                     need for differential calculus. Premultiplying by the inverse                                 1 Firing rate,                        7                                              –1
                                                                                                                                                                         ξ 1 − 10 × 10 6 Btu/h
                                       ( )
                                                    −1                                                                106 Btu/h                         13        x1 =                                  +1
                                                                                                                                                                             3 × 10 6 Btu/h
                     matrix ξ ξ
                                            T
                                                         yields the solution for the coefficient vector:
                                                                                                                   2 Oxygen                              1               ξ 2 − 3%                       –1
                                                                                                                      concentration, %                   5        x2 =                                  +1
                                                                                                                                                                            2%
                                                              (ξ ξ )
                                                                       −1                                          3 Fuel to                            20               ξ 3 − 35%                      –1
                                                                            ξ y=a
                                                                 T          T
                                                                                                (13.16)               primary, %                        50        x3 =                                  +1
                                                                                                                                                                            15%
                        Equations (13.15) and (13.16) are general solutions. This                                 TABLE 13.4 Transformed Data for Fuel-staged Burner
                     result is quite important because most computer spreadsheets                                      Run                         x1                 x2                    x3            y
                     can perform the transpose, matrix multiply, and matrix invert
                                                                                                                        1                          –                   –                    –           13,   14
                     operations.                                                                                        2                          +                   –                    –           18,   19
                        But what do the coefficients mean? Because they come                                            3                          –                   +                    –           27,   24
                     from simultaneous equations, it is impossible to gauge the                                         4                          +                   +                    –           26,   24
                                                                                                                        5                          –                   –                    +           18,   19
                     effect of a single coefficient viewed alone. Their magnitudes
                                                                                                                        6                          +                   –                    +           21,   22
                     cannot be compared because the associated factors have dif-                                        7                          –                   +                    +           28,   29
                     ferent ranges and units. Moreover, if the model is modified,                                       8                          +                   +                    +           29,   27
                     all coefficients must be recalculated because Eq. (13.12) is a
                     system of simultaneous equations. Some method of scaling
                     the factors and transforming the equations to an independent                                 understand they are unit values, only their sign need be
                     system is desirable.                                                                         shown. With these transforms, the off-diagonal values in Eq.
                                                                                                                  (13.12) sum to zero. For the data of Table 13.2, the transfor-
                     13.1.5 Linear Transformations                                                                mation leads to Eq. (13.18), a diagonal matrix. (For conve-
                     Transforming the factors to a common dimensionless unit                                      nience, the zero elements are omitted.)
                     scale allows a direct comparison of the coefficients and sim-
                     plifies the analysis. Linear transforms are preferred because
                                                                                                                                 358 16                                                    a0 
                     they do not bend or nonuniformly stretch the data and they                                                  14                                                        a1 
                                                                                                                                                             16
                     are easy to invert. The following transformation satisfies the                                                                                                       
                     conditions:                                                                                                 70 =                            16                        a2     (13.18)
                                                                                                                                 28                                       16             a 
                                                                                                                                                                                           3 
                                                                                                                                 −18                                                   16  a12 
                                                                        ξ i − ξi
                                                              xi =                              (13.17)
                                                                     1
                                                                       (ξ − ξ i − )
                                                                     2 i+                                            If xTx generates a diagonal matrix, then x is orthogonal.
                                                                                                                  Orthogonal matrices generate independent least-squares
                     where xi is the ith variable, transformed to a dimensionless                                 equations. The solution is as easy as dividing each element
                               range of ±1                                                                        of y by each diagonal element of x:
                           ξi is the ith untransformed variable in the
                               conventional metric (e.g., Btu/hr, %, etc.)                                                                            a0   22.375
                           ξ i is the mean value of ξi in the conventional metric                                                                     a1   0.875
                           ξi+ is the maximum value of ξi in the conventional                                                                                      
                               metric                                                                                                                 a2  =  4.375                                  (13.19)
                                                                                                                                                      a   1.750
                           ξi– is the minimum value for ξi in the conventional                                                                        3          
                               metric                                                                                                                  a12   −1.125
                       This transform normalizes ξi to xi , which is dimensionless                                Note also that removing any terms (e.g., eliminating the term
                     and spans the range –1 to +1. Table 13.3 gives the transforms,                               a1x1) does not affect the value of the remaining coefficients.
      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                     and Table 13.4 shows the transformed factors. Since we                                       This is not so for the simultaneous system, Eqs. (13.12) to
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                                                                                                                       for convenience.)
                    1. the average NOx is 22.375 ppm for this experimental
                                                                                                                                ∑ ( y − y))
                                                                                                                                                 2
                    3. the oxygen influences NOx by ±4.375 ppm over its range                                          ever,                         should grow larger with n and smaller with
                    4. the percentage of fuel to the primary zone influences NOx
                                                                                                                       p. If possible, the noise statistic should be independent of the
                       by ±1.75 ppm over its range
                                                                                                                       number of observations or the number of parameters in the
                    5. firing rate and oxygen interact to moderate their effect on
                       NOx by m1.125 ppm over their joint range                                                        model. This reasoning leads to Eq. (13.22), called the mean
                                                                                                                       square residual (MSR), as a logical measure of random error:
                 From an examination of the coefficients, oxygen has the
              greatest influence on NOx, followed by the percentage of fuel
                                                                                                                                                             ∑ ( y − y)
                                                                                                                                                                     )                2
              to the primary combustion zone, the interaction between firing
                                                                                                                                                       MSR =                                       (13.22)
              rate and oxygen, and the firing rate. Actually, the coefficient                                                                                             n− p
              for the firing rate seems small. Is it significant? How can one
              be sure that the effect is real? How does the coefficient com-
                                                                                                                       The divisor (n – p) is called the degrees of freedom.
              pare to the experimental noise? The next section addresses
                                                                                                                                               )
              these questions.                                                                                           In the worst case, y is worthless and none of its factors
                                                                                                                       actually influence the response. In this case, the data merely
                                                                                                                       represent n replicates differing only by random error. The
              13.2            IMPORTANT STATISTICS                                                                     model is no better than the mean of all observations, y, defined
              It is not enough to know the form of a model, or even calcu-                                             by Eq. (13.23).
              late its coefficients explicitly. Some indication of the influ-
              ence of background noise and its relationship to the
              coefficients is also necessary. The terms background noise,
              noise, error, experimental error, pure error, and random error                                                                                      y=
                                                                                                                                                                         ∑y                        (13.23)
                                                         )                                                                                                                n
              are used interchangeably in this chapter. y is the best approx-
              imation of the true but unknown model
                                                                                                                          Equation (13.23) is the simplest possible model, having
                                                               )                                                       only a single parameter (p = 1); the parameter is y, or a0 for
                                                               y = ξa                                     (13.20)
                                                                                                                       the orthogonal designs considered. In such a case, Eq. (13.22)
                                                                                                                       reduces to Eq. (13.24), called the mean square total or MST:
                The problem is to recover Eq. (13.20) from Eq. (13.5). The
              data contain n total observations and the model contains a
                                                                                                                                                             ∑ (y − y )
                                                                                                                                                                                      2
              coefficient vector, a, comprising p coefficients. Substituting Eq.
              (13.20) into Eq. (13.5) and solving for ε yields Eq. (13.22):                                                                            MST =                                       (13.24)
                                                                                                                                                                           n −1
                                                                 )
                                                            ε= y−y                                        (13.21)
                                                                                                                          The squared deviation normalized by its degrees of free-
                                                                                                                       dom is the variance. The estimated mean and variance (y and
                 Equation (13.21) represents a vector of n values implicitly                                           s2, respectively) are unbiased estimators for the actual mean
              comprising p coefficients. A single number (statistic) to quan-
                                                                                                                       and variance (µ and σ2, respectively). In an experimental
              tify the error vector is desired. Summing the vector
                                                                                                                       context, the actual mean and variance are usually unknown.
               (∑ )    )
                   y − y is a logical place to start. However, if ε is truly                                           One problem with s2 is that it does not have the same units
                                                                                                                       as y. The problem is remedied by taking the square root of
              random and unbiased, then                              ∑ y − y) ~ 0. (For the present
                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                       Eq. (13.22) or Eq. (13.24).
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                                                                                            ∑ (y − y)
                                                                                                       )    2
                                                                   Model (M)              SSM =                 DFM = p – 1            MSM = SSM/DFM                           MSM/MSR
                                                                                      SSR = ∑ ( y − y )
                                                                   Residual (R)                     )      2
                                                                                                                DFR = n – p            MSR = SSR/DFR
                                                                                                       i
                                                                                      SST = ∑ ( y − y )
                                                                                                           2
                                                                   Total (T)                           i
                                                                                                                DFT = n – 1            MST = SST/DFT
                            99%         4052        4999        5404       5624    5764    5859    5928    5981     6022       6056        6157       6209       6240       6260       6302     6334      6366
                       1    95%          161         199         216        225     230     234     237     239      241        242         246        248        249        250        252      253       254
                            90%        39.86       49.50       53.59      55.83   57.24   58.20   58.91   59.44    59.86      60.19       61.22      61.74      62.05      62.26      62.69    63.01     63.33
                            99%        98.50       99.00       99.16      99.25   99.30   99.33   99.36   99.38    99.39      99.40       99.43      99.45      99.46      99.47      99.48    99.49     99.50
                       2    95%        18.51       19.00       19.16      19.25   19.30   19.33   19.35   19.37    19.38      19.40       19.43      19.45      19.46      19.46      19.48    19.49     19.50
                            90%         8.53        9.00        9.16       9.24    9.29    9.33    9.35    9.37     9.38       9.39        9.42       9.44       9.45       9.46       9.47     9.48      9.49
                            99%        34.12       30.82       29.46      28.71   28.24   27.91   27.67   27.49    27.34      27.23       26.87      26.69      26.58      26.50      26.35    26.24     26.13
                       3    95%        10.13        9.55        9.28       9.12    9.01    8.94    8.89    8.85     8.81       8.79        8.70       8.66       8.63       8.62       8.58     8.55      8.53
                            90%         5.54        5.46        5.39       5.34    5.31    5.28    5.27    5.25     5.24       5.23        5.20       5.18       5.17       5.17       5.15     5.14      5.13
                            99%        21.20       18.00       16.69      15.98   15.52   15.21   14.98   14.80    14.66      14.55       14.20      14.02      13.91      13.84      13.69    13.58     13.46
                       4    95%         7.71        6.94        6.59       6.39    6.26    6.16    6.09    6.04     6.00       5.96        5.86       5.80       5.77       5.75       5.70     5.66      5.63
                            90%         4.54        4.32        4.19       4.11    4.05    4.01    3.98    3.95     3.94       3.92        3.87       3.84       3.83       3.82       3.80     3.78      3.76
                            99%        16.26       13.27       12.06      11.39   10.97   10.67   10.46   10.29    10.16      10.05        9.72       9.55       9.45        9.38       9.24    9.13      9.02
                       5    95%         6.61        5.79        5.41       5.19    5.05    4.95    4.88    4.82     4.77       4.74        4.62       4.56       4.52        4.50       4.44    4.41      4.36
                            90%         4.06        3.78        3.62       3.52    3.45    3.40    3.37    3.34     3.32       3.30        3.24       3.21       3.19        3.17       3.15    3.13      3.10
                            99%        13.75       10.92           9.78    9.15    8.75    8.47    8.26    8.10      7.98       7.87       7.56       7.40       7.30        7.23       7.09    6.99      6.88
                       6    95%         5.99        5.14           4.76    4.53    4.39    4.28    4.21    4.15      4.10       4.06       3.94       3.87       3.83        3.81       3.75    3.71      3.67
                            90%         3.78        3.46           3.29    3.18    3.11    3.05    3.01    2.98      2.96       2.94       2.87       2.84       2.81        2.80       2.77    2.75      2.72
                            99%        12.25         9.55          8.45    7.85    7.46    7.19    6.99    6.84      6.72       6.62       6.31       6.16       6.06        5.99       5.86    5.75      5.65
                       7    95%         5.59         4.74          4.35    4.12    3.97    3.87    3.79    3.73      3.68       3.64       3.51       3.44       3.40        3.38       3.32    3.27      3.23
                            90%         3.59         3.26          3.07    2.96    2.88    2.83    2.78    2.75      2.72       2.70       2.63       2.59       2.57        2.56       2.52    2.50      2.47
                            99%        11.26         8.65          7.59    7.01    6.33    6.37    6.18    6.03      5.91       5.81       5.52       5.36       5.26        5.20       5.07    4.96      4.86
                       8    95%         5.32         4.46          4.07    3.84    3.69    3.58    3.50    3.44      3.39       3.35       3.22       3.15       3.11        3.08       3.02    2.97      2.93
                            90%         3.46         3.11          2.92    2.81    2.73    2.67    2.62    2.59      2.56       2.54       2.46       2.42       2.40        2.38       2.35    2.32      2.29
                                                                                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                            99%        10.56         8.02          6.99    6.42    6.06    5.80    5.61    5.47      5.35       5.26       4.96       4.81       4.71        4.65       4.52    4.41      4.31
                       9    95%         5.12         4.26          3.86    3.63    3.48    3.37    3.29    3.23      3.18       3.14       3.01       2.94       2.89        2.86       2.80    2.76      2.71
                            90%         3.36         3.01          2.81    2.69    2.61    2.55    2.51    2.47      2.44       2.42       2.34       2.30       2.27        2.25       2.22    2.19      2.16
                            99%        10.04         7.56          6.55    5.99    5.64    5.39    5.20    5.06      4.94       4.85       4.56       4.41       4.31        4.25       4.12    4.01      3.91
                     10     95%         4.96         4.10          3.71    3.48    3.33    3.22    3.14    3.07      3.02       2.98       2.85       2.77       2.73        2.70       2.64    2.59      2.54
                            90%         3.29         2.92          2.73    2.61    2.52    2.46    2.41    2.38      2.35       2.32       2.24       2.20       2.17        2.16       2.12    2.09      2.06
                            99%          9.65        7.21          6.22    5.67    5.32    5.07    4.89    4.74      4.63       4.54       4.25       4.10       4.01        3.94       3.81    3.71      3.60
                     11     95%          4.84        3.98          3.59    3.36    3.20    3.09    3.01    2.95      2.90       2.85       2.72       2.65       2.60        2.57       2.51    2.46      2.40
                            90%          3.23        2.86          2.66    2.54    2.45    2.39    2.34    2.30      2.27       2.25       2.17       2.12       2.10        2.08       2.04    2.01      1.97
                            99%          9.33        6.93          5.95    5.41    5.06    4.82    4.64    4.50      4.39       4.30       4.01       3.86       3.76        3.70       3.57    3.47      3.36
                     12     95%          4.75        3.89          3.49    3.26    3.11    3.00    2.91    2.85      2.80       2.75       2.62       2.54       2.50        2.47       2.40    2.35      2.30
                            90%          3.18        2.81          2.61    2.48    2.39    2.33    2.28    2.24      2.21       2.19       2.10       2.06       2.03        2.01       1.97    1.94      1.90
                            99%          9.07        6.70          5.74    5.21    4.86    4.62    4.44    4.30      4.19       4.10       3.82       3.66       3.57        3.51       3.38    3.27      3.17
                     13     95%          4.67        3.81          3.41    3.18    3.03    2.92    2.83    2.77      2.71       2.67       2.53       2.46       2.41        2.38       2.31    2.26      2.21
                            90%          3.14        2.76          2.56    2.43    2.35    2.28    2.23    2.20      2.16       2.14       2.05       2.01       1.98        1.96       1.92    1.88      1.85
                            99%          8.86        6.51          5.56    5.04    4.69    4.46    4.28    4.14      4.03       3.94       3.66       3.51       3.41        3.35       3.22    3.11      3.00
                     14     95%          4.60        3.74          3.34    3.11    2.96    2.85    2.76    2.70      2.65       2.60       2.46       2.39       2.34        2.31       2.24    2.19      2.13
                            90%          3.10        2.73          2.52    2.39    2.31    2.24    2.19    2.15      2.12       2.10       2.01       1.96       1.93        1.91       1.87    1.83      1.80
                            99%          8.68        6.36          5.42    4.89    4.56    4.32    4.14    4.00      3.89       3.80       3.52       3.37       3.28        3.21       3.08    2.98      2.87
                     15     95%          4.54        3.68          3.29    3.06    2.90    2.79    2.71    2.64      2.59       2.54       2.40       2.33       2.28        2.25       2.18    2.12      2.07
                            90%          3.07        2.70          2.49    2.36    2.27    2.21    2.16    2.12      2.09       2.06       1.97       1.92       1.89        1.87       1.83    1.79      1.76
                            99%          8.53        6.23          5.29    4.77    4.44    4.20    4.03    3.89      3.78       3.69       3.41       3.26       3.16        3.10       2.97    2.86      2.75
                     16     95%          4.49        3.63          3.24    3.01    2.85    2.74    2.66    2.59      2.54       2.49       2.35       2.28       2.23        2.19       2.12    2.07      2.01
                            90%          3.05        2.67          2.46    2.33    2.24    2.18    2.13    2.09      2.06       2.03       1.94       1.89       1.86        1.84       1.79    1.76      1.72
                                99%           8.40        6.11        5.19   4.67     4.34   4.10    3.93      3.79      3.68       3.59       3.31        3.16       3.07       3.00         2.87      2.76      2.65
                         17     95%           4.45        3.59        3.20   2.96     2.81   2.70    2.61      2.55      2.49       2.45       2.31        2.23       2.18       2.15         2.08      2.02      1.96
                                90%           3.03        2.64        2.44   2.31     2.22   2.15    2.10      2.06      2.03       2.00       1.91        1.86       1.83       1.81         1.76      1.73      1.69
                                99%           8.29        6.01        5.09   4.58     4.25   4.01    3.84      3.71      3.60       3.51       3.23        3.08       2.98       2.92         2.78      2.68      2.57
                         18     95%           4.41        3.55        3.16   2.93     2.77   2.66    2.58      2.51      2.46       2.41       2.27        2.19       2.14       2.11         2.04      1.98      1.92
                                90%           3.01        2.62        2.42   2.29     2.20   2.13    2.08      2.04      2.00       1.98       1.89        1.84       1.80       1.78         1.74      1.70      1.66
                                99%           8.18        5.93        5.01   4.50     4.17   3.94    3.77      3.63      3.52       3.43       3.15        3.00       2.91       2.84         2.71      2.60      2.49
                         19     95%           4.38        3.52        3.13   2.90     2.74   2.63    2.54      2.48      2.42       2.38       2.23        2.16       2.11       2.07         2.00      1.94      1.88
                                90%           2.99        2.61        2.40   2.27     2.18   2.11    2.06      2.02      1.98       1.96       1.86        1.81       1.78       1.76         1.71      1.67      1.63
                                99%           8.10        5.85        4.94   4.43     4.10   3.87    3.70      3.56      3.46       3.37       3.09        2.94       2.84       2.78         2.64      2.54      2.42
                         20     95%           4.35        3.49        3.10   2.87     2.71   2.60    2.51      2.45      2.39       2.35       2.20        2.12       2.07       2.04         1.97      1.91      1.84
                                90%           2.97        2.59        2.38   2.25     2.16   2.09    2.04      2.00      1.96       1.94       1.84        1.79       1.76       1.74         1.69      1.65      1.61
99% 7.77 5.57 4.68 4.18 3.85 3.63 3.46 3.32 3.22 3.13 2.85 2.70 2.60 2.54 2.40 2.29 2.17
                                                                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                         25     95%           4.24        3.39        2.99   2.76     2.60   2.49    2.40      2.34      2.28       2.24       2.09        2.01       1.96       1.92         1.84      1.78      1.71
                                90%           2.92        2.53        2.32   2.18     2.09   2.02    1.97      1.93      1.89       1.87       1.77        1.72       1.68       1.66         1.61      1.56      1.52
                                99%           7.56        5.39        4.51   4.02     3.70   3.47    3.30      3.17      3.07       2.98       2.70        2.55       2.45       2.39         2.25      2.13      2.01
                         30     95%           4.17        3.32        2.92   2.69     2.53   2.42    2.33      2.27      2.21       2.16       2.01        1.93       1.88       1.84         1.76      1.70      1.62
                                90%           2.88        2.49        2.28   2.14     2.05   1.98    1.93      1.88      1.85       1.82       1.72        1.67       1.63       1.61         1.55      1.51      1.46
                                99%           7.31        5.18        4.31   3.83     3.51   3.29    3.12      2.99      2.89       2.80       2.52        2.37       2.27       2.20         2.06      1.94      1.80
                         40     95%           4.08        3.23        2.84   2.61     2.45   2.34    2.25      2.18      2.12       2.08       1.92        1.84       1.78       1.74         1.66      1.59      1.51
                                90%           2.84        2.44        2.23   2.09     2.00   1.93    1.87      1.83      1.79       1.76       1.66        1.61       1.57       1.54         1.48      1.43      1.38
                                99%           7.17        5.06        4.20   3.72     3.41   3.19    3.02      2.89      2.78       2.70       2.42        2.27       2.17       2.10         1.95      1.82      1.68
                         50     95%           4.03        3.18        2.79   2.56     2.40   2.29    2.20      2.13      2.07       2.03       1.87        1.78       1.73       1.69         1.60      1.52      1.44
                                90%           2.81        2.41        2.20   2.06     1.97   1.90    1.84      1.80      1.76       1.73       1.63        1.57       1.53       1.50         1.44      1.39      1.33
                                99%           6.90        4.82        3.98   3.51     3.21   2.99    2.82      2.69      2.59       2.50       2.22        2.07       1.97       1.89         1.74      1.60      1.43
                        100     95%           3.94        3.09        2.70   2.46     2.31   2.19    2.10      2.03      1.97       1.93       1.77        1.68       1.62       1.57         1.48      1.39      1.28
                                90%           2.76        2.36        2.14   2.00     1.91   1.83    1.78      1.73      1.69       1.66       1.56        1.49       1.45       1.42         1.35      1.29      1.21
                                99%           6.63        4.61        3.78   3.32     3.02   2.80    2.64      2.51      2.41       2.32       2.04        1.88       1.77       1.70         1.52      1.36      1.00
                  Infinity      95%           3.84        3.00        2.60   2.37     2.21   2.10    2.01      1.94      1.88       1.83       1.67        1.57       1.51       1.46         1.35      1.24      1.00
                                90%           2.71        2.30        2.08   1.94     1.85   1.77    1.72      1.67      1.63       1.60       1.49        1.42       1.38       1.34         1.26      1.18      1.00
                  TABLE 13.7 ANOVA Table for Equation 13.2 Applied to                                                 TABLE 13.8 ANOVA for Table 13.7 with Separate Effects
                  Data of Table 13.4                                                                                          Component                       SS           DF         MS               F       F95(1,9)
                   Component                                        SS       DF     MS        F     F95(6,9)          Model (M):            a1               12.25           1      12.25              9.19     5.12
                  Model (M)                                        389.75     6     64.95    48.7    3.37                                   a2              306.25           1     306.25            229.69     5.12
                  Residual (R)                                      12.00     9      1.33                                                   a3               49.00           1      49.00             36.75     5.12
                                                                                                                                            a12              20.25           1      20.25             15.18     5.12
                  Total (T)                                        401.75    15                                                             a13               1.00           1       1.00              0.75     5.12
                                                                                                                                            a23               1.00           1       1.00              0.75     5.12
                                                                                                                      true for these factors, then the MSR should not change signif-
                   13.2.4 Pooling Insignificant Effects                                                               icantly. In fact, as the table shows, s2 remains nearly
                   To pool insignificant effects, their SS and DF are moved to                                        unchanged, decreasing from 1.33 to 1.27. This changes the
                   the residual, generating Table 13.9. If the null hypothesis is                                     estimate of σ from 1.2 to 1.1 ppm. In the absence of replicate
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Provided by IHS Markit under license with CRC Press                                                            Licensee=Sabic Engineering and Project Mgmt/5951674001, User=Elsheikh, Baher
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     2337-ch13-Frame Page 412 Wednesday, April 6, 2005 4:39 PM
              TABLE 13.9 ANOVA for Table 13.7 with Pooled Effects                                                                Later, Section 13.3.3 introduces fractional factorials as a way
                    Component                        SS            DF        MS                   F              F95 (1,11)      to reduce the required testing. As their name suggests, two-level
              Model (M):                a1         12.25            1      12.25                9.63                  4.84
                                                                                                                                 designs comprise factors at two levels: high (+) and low (–).
                                        a2        306.25            1     306.25              240.63                  4.84           Consider the design used tacitly in Table 13.2. Table 13.4
                                        a3         49.00            1      49.00               38.50                  4.84
                                                                                                                                 gives the transformed matrix in a standard order comprising
                                        a12        20.25            1      20.25               15.91                  4.84
                                                                                                                                 2 3 runs. A general factorial design in f factors will require
              Residual (R)                          14.00          11          1.27                                              2 f runs. The sign of the factors will alternate in blocks of 2a–1,
                                                                                                                                 where a is the factor subscript. For example, the sign of the
              Total (T)                           401.75           15
                                                                                                                                 first factor alternates every run (21–1); the sign of the second
                                                                                                                                 factor alternates in blocks of two (22–1); the sign of the third
                                                                                                                                 factor alternates in blocks of four (23–1); etc. This continues
              observations, insignificant effects are the only available esti-                                                   for all f factors. After construction of the design, domain
              mates for the error.                                                                                               knowledge is used to assign values to the high and low levels.
              may verify that the final model becomes Eq. (13.26) with the
              standard errors enclosed in brackets [ ]:                                                                                                    +   ∑∑∑a
                                                                                                                                                               i< j   j <k   k
                                                                                                                                                                                      x x j xk + L
                                                                                                                                                                                   ijk i                         (13.27)
                y = 22.375[ ±0.28] + 0.875[±0.28]x1 + 4.375[±0.28]x 2                                                               The summations continue until all 2 f terms are specified.
                                                                                                                   (13.26)
                    +1.750[±0.28]x3 − 1.125[±0.28]x1 x 2                                                                         The additive sequence reaches 2 f coefficients when it
                                                                                                                                 reaches the f-factor interaction. For example, if f = 6, the
                                                                                                                                 last term in the series for Eq. (13.27) will be a six-factor
                 The ratio of an effect to its standard error is known as the
                                                                                                                                 interaction, a123456 x1x2x3x4x5x6. At that time, the series will
              t-ratio. It distributes as the square root of the F(1,n)-distribu-
                                                                                                                                 have grown to comprise (26) 64 terms. Third- or higher-order
              tion. For example, for x1, the 95% confidence interval is
                                                                                                                                 interactions are rarely a concern. If the researcher does not
              x1 ± t95(11)s1, or 0.875 ± 0.62. This follows from t95(11)s1 =
                                                                                                                                 require higher interactions he can reduce the number of
               ± F95 (1, 11)s1 = ±2.20(0.28) = ±0.62. Because 0.875 is greater                                                   required runs. Section 13.3.3 shows how.
              than 0.62, the confidence interval does not include zero, and
              one rejects the null hypothesis. The t- and F-ratios provide                                                       13.3.2 Pure Error and Bias
              equivalent tests with identical confidence.
                                                                                                                                 One problem not yet discussed is that in addition to noise, the
                                                                                                                                 residual may contain bias (also called lack of fit). Statisti-
                                                                                                                                 cians sometimes use the term “pure error” to distinguish ran-
              13.3            TWO-LEVEL FACTORIAL                                                                                dom error from the entire residual, which may contain bias.
                              DESIGNS                                                                                            For example, omission of model terms that should have been
              The test matrix given in Table 13.2 is a special one known as                                                      included will bias the residual. A biased residual inflates the
              a two-level factorial design. This type of test matrix offers                                                      error estimate. Larger error estimates make the F-test less
              special benefits. Two-level factorial designs are powerful                                                         sensitive, and increase the probability of falsely accepting the
              methods that allow for very efficient experimentation. That                                                        null hypothesis. Replicating some of the runs quantifies pure
              is, they maximize the information available for a given set of                                                     error. Subtracting pure error from the residual gives an esti-
              factors. To construct them requires a minimum of 2 f runs                                                          mate of the bias. It is not necessary to replicate every design
              (experimental tests), where f is the number of factors in the                                                      point as was done in Table 13.4. Adding replicate center-
              investigation. For f > 5, these designs can involve many runs.
                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---          points allows testing for both bias and pure error. Factorial
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FLUE GAS
                                                                       EXHAUST                                       MUNICPAL
                                                                        STACK                                       SOLID WASTE
                                                                        NO x
                                                                    REDUCTION
                                                                       ZONE
                                                                                                                                                       RECIRCULATED
                                                                       AMMONIA
                                                                      INJECTION                                                                           FLUE GAS
                                                                                                                                                         (OPTIONAL)
FEED CHUTE
                                                                    COMBUSTION
                                                                       ZONE
                                                                       STOKER
                                                                        GRATE
                                                                                                                                                         UNDERGRATE
                                                                           ASH                                                                           COMBUSTION
                                                                                                                                                             AIR
                                                             Municipal solid waste (MSW) enters the feed chute onto a perforated stoker grate. Combustion air
                                                             enters under the grate. The burning the MSW exits the stoker as ash, but creates a hot combustion
                                                             zone that generates NOx. A series of nozzles inject ammonia, which chemically reduces NOx.
                                                             Varying the injector pressure changes the penetration of ammonia into the hot furnace and affects
                                                             NOx reduction. Optionally, flue gas may be added to the combustion air as an additional NOx
                                                             reduction strategy.
FIGURE 13.4 Municipal solid waste boiler using ammonia injection to control NOx.
                    designs remain orthogonal with any number of replicate cen-                                   TABLE 13.10 Factorial Design with Replicate Centerpoints
                    terpoints.                                                                                                          ξ1                       ξ2                                y
                                                                                                                    Run           Pressure, psig               NH3/NOx              x1     x2   NOx, lb/h
                       Consider a municipal solid waste boiler2 that injects NH3
                                                                                                                      1                    20                       1.4              –     –      31.0
                    to reduce NOx as in Figure 13.4. It is necessary to correlate                                     2                    40                       1.4              +     –      25.0
                    the injection pressure (x 1) and the NH3/NOx ratio (x2) with                                      3                    20                       1.8              –     +      16.4
                                                                                                                      4                    40                       1.8              +     +      18.1
                    the NOx concentration (y):                                                                        5                    30                       1.6              0     0      23.0
                                                                                                                      6                    30                       1.6              0     0      25.9
                                                                                                                      7                    30                       1.6              0     0      25.2
                                                      y = a0 + a1 x1 + a2 x 2 + a12 x1 x 2        (13.28)
                      Table 13.10 gives the data, comprising m = 5 unique points                                   the following two sums to separate the residual into bias and
                    with one centerpoint replicated three times. The “0” values                                    pure error components.
                    represent the centerpoints.
                                                                                                                          • Calculate SSE as the squared difference between the
                       To test separately for bias in the ANOVA table, partition
                                                                                                                            actual response (yi) and the replicate means ( yi ). When
                    SSR into two parts: one for bias (SSB) and the other for pure                                           there are no replicates, then yi = yi for the purposes of the
                    error (SSE). The degrees of freedom (DF) for each are DFE                                               summation, adding 0 to SSE. For the case at hand, only
                    = n – m, and DFB = m – p, where m is the number of unique                                               three centerpoints are replicated. They generate a single
                    points. Table 13.11 gives the generic ANOVA for replicated
          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                            replicate mean [(23.0 + 25.9 + 25.2)/3 = 24.7]. Therefore,
                    data, and Table 13.12 gives ANOVA for the case at hand. Use                                             SSE = (23.0 – 24.7)2 + (25.9 – 24.7)2 + (25.2 – 24.7)2 = 4.58.
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                                                                                                     ∑ (y − y)
                                                                                                            )               2
                                                     Model (M)                                                  i
                                                                                                                                    p –1       SSM/DFM             MSM/MSE                     MSM/MSR
                                                                                                     i =1
                                                                                             ∑ ∑ (y − y )
                                                                                                            )               2
                                                     Residual            Bias (B)                                   k
                                                                                                                                    m–p        SSB/DFB             MSB/MSE
                                                                                              i =1   k
                                                                                             ∑ ∑ (y − y )
                                                                                                                                2
                                                                         Pure Error (E)                         i       k
                                                                                                                                    n–m        SSE/DFE
                                                                                              i =1   k
                                                                                                     ∑ (y − y)
                                                                                                                            2
                                                     Total (T)                                                  i
                                                                                                                                    n–1
                                                                                                     i =1
              TABLE 13.12 ANOVA for Table 13.10 and Equation                                                                           entire residual, as in Table 13.13. The larger number of
                            Component                               SS        DF     MS         F           F95(1,2)                   degrees of freedom should better estimate σ2. Table 13.13
              Model (M)               a1                             4.62     1       4.62    2.02           18.51
                                                                                                                                       shows that besides the mean, only a2 is significant. In a like
                                      a2                           115.56     1     115.56   50.46           18.51                     manner, partition the residual of Table 13.9 as MSE = 11.00/8
                                      a12                           14.82     1      14.82    6.47           18.51                     = 1.375, and MSB = 3.00/3 = 1.000. An F-test proves the
                                                                                                                                       model contains no significant bias (F = 1.000/1.375 = 0.72,
              Residual (R)            Bias (B)                       7.38     1       7.38     3.22          18.51
                                                                                                                                       F95(3,8) = 4.07, 0.72 < 4.07). This justifies the use of the
                                      Pure error (E)                 4.58     2       2.29                                             entire residual for the earlier F-tests.
              Total (T)                                            146.97     6
              Residual (R)                                11.96           3          3.99                                                  The “fraction” is 2–d. For example, the quarter fraction com-
                                                                                                                                       prises 2 f–2 runs (d = 2, 2–2 = 1/4). The nomenclature FF(f, –d, c)
              Total (T)                                  146.97           6                                                            is used to specify a full or fractional factorial comprising
                                                                                                                                       2 f–d + c runs, where c is the number of centerpoints. Sometimes
                                                                                                                                       it is necessary to study a large group of factors, without know-
                      • Calculate SSB by finding SSR in the usual way and                                                              ing in advance which are likely to be influential. Other times,
                        subtracting SSE. Alternatively, calculate SSB directly as                                                      constraints limit the total number of possible experiments. The
                        the squared difference between the predicted values ( ŷ i)                                                    maximum fractionation (dmax,FF) is determined by solving Eq.
                        and the replicate means ( yi ). Substitute the value yi = yi                                                   (13.30) for d, which must be an integer:
                        whenever a point comprises only a single value. However,
                         ŷ i – yi will not necessarily be zero in these cases.
              ger greater than 1 (e.g., f = 3, 7, 15, …). Nonetheless, it is                   A good rule for step size, in the absence of other criteria, is
              recommended that for f ≠ 2J – 1, one should not use the sim-                     to move the new design center p units from the old one
              plex, but the next larger fractional factorial, also known as a                  along the path of steepest ascent. For the current case, p = 2.
              highly fractionated design. For highly fractionated designs,                     To scale the coefficient vector to 2 length, multiply by λ,
              Eq. (13.31) gives the degree, dHF .                                              defined by Eq. (13.35):
                                                                   [
                                            dHF = f − Ceil log 2 ( f + 1)     ]   (13.31)
                                                                                                                                             λ=
                                                                                                                                                                 p
                                                                                                                                                                           (13.35)
                                                                  response-surface
                                                                      contours
                                                                                                                 
p
                                                                                        all                                                      direction of
                                                                                                                 a2l                               steepest
                                                                                                                                                    ascent
                                                                                         old design
                                                                                                                         new design
                                                                  The method of steepest ascent uses the derived coefficients (a1, a2) to find the direction of greatest
                                                                  increase in the response. l scales the direction vector to move the design p units along this path.
                                                                  One may reapply the method as many times as desired. However, near the optimum, the first order
                                                                  design is no longer sufficient and one must augment the design to determine second-order behavior.
                   effects are prevented from confounding the results. Foldover                                           Batch I, and the higher steam:oil ratios on Heavy Oil
                   automatically creates an orthogonal block. The next section                                            Batch II, will completely confound the batch and steam:oil
                   shows how.                                                                                             effects. The preferred test series would ensure that the batch
                                                                                                                          effects are orthogonal to the steam:oil, oxygen, and firing-
                   13.3.8 Orthogonal Blocking                                                                             rate effects. How is this accomplished?
                   Consider a test conducted with a heavy oil burner using                                                   First, construct the experimental design in the usual way
                   steam to atomize the oil as shown in Figure 13.6. The pur-                                             to evaluate two levels (low and high) of steam:oil ratio (x1),
                   pose of the test is to correlate flame length with oxygen con-                                         oxygen (x2), and firing rate (x3) (see Table 13.15). Because
                   centration, steam:oil ratio, and firing rate. If it is feasible to                                     the fuel oil batch may have some effect, study it as an addi-
                   run 12 tests, simply run a two-level three-factor factorial                                            tional factor. The study of the oil is not interesting in itself.
                   design of eight runs and add four centerpoint replicates to                                            The oil is more of a nuisance factor, changing unpredictably
                   give measures of bias and pure error. However, what if the                                             from batch to batch, but the block factor accounts for the
                   available oil tank will only accommodate six or seven tests?                                           systematic difference between batches. The burner and its
                      One alternative is to run some tests with the current batch                                         performance at different oxygen levels, steam:oil ratios, and
                   of oil, then run more tests when a new batch is available.                                             firing rates is the real point of interest. Factors of real interest
                   Analytical testing could even ensure that the new batch is                                             to the study are called fixed effects. Factors that represent an
                   similar to the current one. However, it is not possible to know                                        uncontrolled variation are called random effects.
                   for sure that the new batch will not change in some important                                             Table 13.15 gives the experimental structure. All runs within
                   but unknown way. Heavy oil is notorious for batch-to-batch                                             Block = I (1, 4, 6, 7, 9, and 10) are randomized and performed.
                   variation, and subtle changes in the batch could affect the                                            The remaining runs, Block = II (2, 3, 5, 8, 11, and 12), are
                   response. Running the low steam:oil ratios on Heavy Oil
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                          randomized and run for the new batch of oil. To derive the
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                                                                                                                     REGEN TILE
                                                                                                               OIL GUN
                                                                                         GAS RISERS (FOR
                                                                                       COMBINATION FIRING)                          TERTIARY AIR CONTROL
                                                                                  PRIMARY TILE
                                                                                                                                                              PRIMARY
                                                                                                                                                            AIR CONTROL
              FIGURE 13.6 John Zink PLNC combination burner capable of firing either oil or gas, or both simultaneously. Oil flows
              through a central oil gun and is stabilized by a regen tile. A surrounding primary tile stabilizes the gas fire. All air flows through
              the inlet plenum. However, this version of the PLNC has air control to three zones — primary, secondary, and tertiary — via
              respective dampers whose handles are shown. A gas pilot is used for startup but not required for operation.
                                                                         TABLE 13.15 FF(3,0,4) in Two Blocks                the residual variance, so our F-tests will be more sensitive.
                                                                          Run     x1     x2      x3   Block                 Hunter et al.4 summarize the general philosophy: “Block what
                                                                            1     –      –       –      I
                                                                                                                            you can. Randomize what you cannot.” If needed, construct
                                                                            2     +      –       –     II                   more orthogonal blocks using additional blocking generators
                                                                            3     –      +       –     II                   while taking care to account for their mutual interactions.
                                                                            4     +      +       –      I
                                                                            5     –      –       +     II
                                                                            6     +      –       +      I                   13.3.9 Including Categorical Factors
                                                                            7     –      +       +      I
                                                                            8     +      +       +     II
                                                                                                                            The previous discussion presumed continuously distributed
                                                                            9     0      0       0      I                   factors. For example, in principle, oxygen can take on any
                                                                           10     0      0       0      I                   value over its range. This contrasts with discrete factors that
                                                                           11     0      0       0     II
                                                                                                                            can only take specific values. Even some discrete factors can
                                                                           12     0      0       0     II
                                                                                                                            be treated as continuous. For example, factors like pipe size
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   distinguishes one category or type of burner from another.                                                    TABLE 13.16 Experimental Design with Categorical Factors
                   Transform ξ I to x I by arbitrarily assigning the values x I = –1                                                                                                                                  y = Flame
                   for Burner A and x I = +1 for Burner B. Use capital letters to                                                           ξI = Burner              ξ2 = Oil               ξ3 = Differential           Length
                   distinguish among levels of ξ I. The lack of a continuous scale                                                Run           Type              Pressure (psig)           Pressure (psid)               (ft)
                                       9.08[±0.33]
                                                                                                                                 Total (T)                                   58.61         7
                                                                                        if x I ≡ Burner A
                                     y=
                                       14.30[±0.33]                                    if x I ≡ Burner B
                                y = a0 +         ∑a x + ∑∑a x x + ∑a x
                                                     i
                                                             i i
                                                                          i< j      j
                                                                                           ij i   j
                                                                                                      i
                                                                                                             2
                                                                                                          ii i   (13.37)
                                                                                                                                                                         [
                                                                                                                                                   dmax,CC = Ceil f + 1 − log 2 f 2 − f + 2    (              )]       (13.40)
                                                                                                                                                                  (central-composite)
                      Unfortunately, none of the designs studied thus far can
                   determine the pure quadratic coefficients, aii , because none                                                  A central-composite design uses a two-level design (frac-
                   of the designs have any factor at three or more levels. A design                                               tional or full) and augments the design with 2f axial runs.
                   of Resolution V or greater comprising at least three levels per                                                For example, if f = 3, at least ten runs are required for a full
                   factor is needed. A full second-order model requires nSO runs,                                                 second-order model according to Eq. (13.38). Equation (13.40)
                   as in Eq. (13.38):                                                                                             gives dmax,CC = 1, and Eq. (13.39) shows that a CC(3,–1,0) is
                                                                                                                                  the minimum design needed.
                      nSO =
                                 ( f + 1)( f + 2)                       (full second-order model) (13.38)
                                                                                                                                     Table 13.18 represents a CC(3,0,6) design for the same
                                             2
                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---                                          purpose, comprising 20 runs. Except for the cost of the runs,
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                                 TABLE 13.18 CC(3,0,6) Design                                        3. Choose α to make the pure quadratics mutually ortho-
                                      Run                   x1          x2        x3                    gonal. This requires a numerical evaluation. (If the exper-
                                                                                                        iment is run in a single randomized block, α = 1.525; if
                                          1                 –            –        –
                                                                                                        a sequential strategy is used in three randomized blocks,
                                          2                 +            –        –
                                          3                 –            +        –                     then α = 1.633.)
                                          4                 +            +        –                  4. Choose α so that the values are convenient, for example,
                                          5                 –            –        +                     ±2.
                                          6                 +            –        +
                                          7                 –            +        +                Because f, d, and c are restricted to integer values, it is
                                          8                 +            +        +             often not possible to satisfy all criteria simultaneously.
                                          9                –α            0        0
                                         10                +α            0        0
                                         11                 0           –α        0             13.4.2 Practical Considerations
                                         12                 0           +α        0
                                                                                                The general recommendation is to choose values of α that are
                                         13                 0            0       –α
                                         14                 0            0       +α             orthogonal and approximately rotatable. In practical situa-
                                         15                 0            0        0             tions, even this can be difficult. Table 13.19 revisits the
                                                                                                                                                                                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                         16                 0            0        0             stoker-fired boiler using ammonia injection to reduce NOx
                                         17                 0            0        0
                                         18                 0            0        0             (Figure 13.4). The mass flow of NOx(y) is a function of the
                                         19                 0            0        0             nozzle pressure (x1), the NH3:NOx ratio (x2), and fraction of
                                         20                 0            0        0             flue-gas recirculated, FGR (x3). One should choose a single
                                                                                                value for α; say, α = 4 8 for rotatability, or perhaps α = 2 for
                                 TABLE 13.19 CC(3,0,3) Design                                   convenience. However, FGR = on and FGR = off were the
                                    Run               x1           x2    x3       y             most important states. A central composite gives only one test
                                        1             –             –        –   31.0           at each of these extreme points. To account for this, the investi-
                                        2            +              –        –   25.1           gator chose α1 = α2 = 2 and α3 = 1. Consequently, the design
                                        3             –            +         –   16.4
                                                                                                is not rotatable and without mutually orthogonal quadratic
                                        4            +             +         –   18.1
                                        5             –             –        +   31.1           coefficients. The pure quadratics are not orthogonal to one
                                        6            +              –        +   29.6           another or the mean, and they cannot be considered sepa-
                                        7             –            +         +   18.0           rately. However, they are orthogonal to the rest of the model.
                                        8            +             +         +   17.1
                                        9            –2             0        0   28.2           Therefore, it is still possible to use a single ANOVA for the
                                       10            +2             0        0   25.9           model of Eq. (13.37), providing the quadratics are considered
                                       11             0            –2        0   33.1           as a group. From the ANOVA of Table 13.20, the only signif-
                                       12             0            +2        0   11.6
                                       13             0             0        –   25.9
                                                                                                icant term besides a0 is x2. The omitted quadratics are not
                                       14             0             0        +   24.9           orthogonal to a0, therefore, a0 must be recalculated for the
                                       15             0             0        0   23.0           truncated model. The reader may verify that the final model
                                       16             0             0        0   25.9
                                                                                                becomes NOx (ppm) = 24.13 – 5.61[±0.43] x2. The term x2
                                       17             0             0        0   25.2
                                                                                                ranges from –2 to +2. Therefore, in the extreme, NH3 injec-
                                                                                                tion reduces NOx from 35 ppm to 13 ppm.
                                                                                                                   Upon noting no significant bias, the total residual estimates the error:
                                                                                                                   (15.93 + 4.58)/(5 + 2) = 2.93. This is the denominator in all the F-tests
                                                                                                                   except for bias. Bias uses the pure error as the denominator in the F-ratio.
                                                                                                                   Significance at 95% confidence: no effect exceeds F95 but x2.
                                                                  In Eq. (13.41), zi is the fraction of the i th component, and ξi is                          1. a simulated refinery gas comprising 25% H2, 25% C3H8,
                                                                  the i th component in the original metric (e.g., %, SCFH, etc).                                 and 50% Tulsa natural gas
                                                                  The fractions must sum to unity, by definition:                                              2. a simulated gas low-BTU waste (LBG) comprising 25%
                                                                                                                                                                  H2, 25% C3H8, 50% CO2
                                                                                               q                                                               3. natural gas comprising mostly CH4 with some higher
                                                                                             ∑i =1
                                                                                                     zi ≡ 1                          (13.42)                      hydrocarbons
                                                                                                                                                                 p1          p12          p2
                                                                                        p1233    p23                                                  z1                                             z2
                                                                   p13                                                                                        q=3 projected axes on
                                                                                          p123                  f=2 factor space
                                                                                                                                                                   f=2 surface
                                                                                                   p1223
                                                                                                                       N2
                                                                              p1133                        p2
                                                                                           p12
                                                           p1
                                                                                                    5zi = 1 constraining plane
                                                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                               N1
                                                                                                                                                                    x1
                                                           pt            z1       z2      z3        x1     x2
                                                                                                                                                                    p1
                                                           p1             1        0       0         2 -1
                                                           p2             0        1       0        -1 2                                                          p1123
                                                           p3             0        0       1        -1 -1                                                   p13                p12
                                                           p123          1/3      1/3     1/3        0 0                                                                   p123
                                                                                                                                                                                p1223           x2
                                                           p12           1/2      1/2     0         1/2 1/2                                                              p1233
                                                           p13           1/2       0      1/2       1/2 -1
                                                                                                                                                                  p3          p23        p2
                                                           p23            0       1/2     1/2       -1 1/2
                                                           p1123         2/3      1/6     1/6        1 -1/2                                                   f=2 orthogonal axes on
                                                           p1223         1/6      2/3     1/6      -1/2 1                                                           f=2 surface
                                                           p1233         1/6      1/6     2/3      -1/2-1/2
                                                                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   ever, for a region of interest within the simplex, one can have                                           fractionate the entire design as in Section 13.3.3
                   orthogonal data sets.
                                                                                                                      To illustrate the last option, the first three columns of Table
                                                                                                                   13.21 specify a grid of points for q = 3. Figure 13.8A depicts
                   13.5.2 Orthogonal Mixture Designs                                                               the design. The next two columns of Table 13.21 give a ratio
                   There are two convenient ways to generate orthogonal factor                                     transformation that can be orthogonalized to give x1 and x2.
                   space. If the region of interest is small, 0 < zi < 1/(q – 1), then                             The orthogonal coordinates are given in the last two columns
                   use it directly with the transform xi = 2 f zi – 1 to yield an                                  of Table 13.21 and depicted in Figure 13.8B.
                   orthogonal factor space in f = q – 1 factors. There are q such                                     Now suppose that in addition to x1 and x2, there are three
                   overlapping spaces in any simplex. However, any one region                                      non-mixture factors — x3, x4, and x5. The system in Figure
                   of interest comprises the 2(q – 1)1–q fraction of the factor                                    13.8C can be depicted as a mixture design replicated at each
                   space. For example, if q = 3, then 0 < zi < 1/2, xi = 4zi – 1,                                  factorial point. The first option would be to run the complete
                   comprising 1/2 the factor space.                                                                design comprising 16 × 23 = 128 experiments. A second
                      Another method uses selected ratios. The disadvantage of                                     option would be to use a 1/2-fractional factorial with the full
                   the method is that ratio transforms are nonlinear so they                                       mixture design comprising 16 × (1/2)23 = 64 points. If even
                   distort the factor space, especially near a zero denominator.                                   this is too many, the third option is to combine the design and
                   However, in many cases, the component ratio is the factor of                                    use the quarter fraction. This results in (1/4)·42·23 = 32 tests
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                                                                                                                                                       1         –        –       –        –       –3       –3      –           –          –
                                                                                                                                                       2         +        –       –        –       –1       –3      –           +          –
                       z1                                                       z3                                                                     3         –        +       –        –        1       –3      –           +          –
                                                                                                                                                       4         +        +       –        –        3       –3      –           –          –
                  C                                                                                                                                    5         –        –       +        –       –3       –1      –           –          +
                                                                                                                     x1
                                                                                                                                                       6         +        –       +        –       –1       –1      –           +          +
                                                                                     x5
                                                                                                                                                       7         –        +       +        –        1       –1      –           +          +
                                                                                                                                                       8         +        +       +        –        3       –1      –           –          +
                                                                                                                          x2
                                                                                                                                                       9         –        –       –        +       –3        1      –           –          +
                                                                                                                                                      10         +        –       –        +       –1        1      –           +          +
                                                                                                               x4
                                                                                                                                                      11         –        +       –        +        1        1      –           +          +
                                                                                                                                                      12         +        +       –        +        3        1      –           –          +
                                                                                                   x3                                                 13         –        –       +        +       –3        3      –           –          –
                                                                                                                                                      14         +        –       +        +       –1        3      –           +          –
                                                                                                                                                      15         –        +       +        +        1        3      –           +          –
                                                                                                                                                      16         +        +       +        +        3        3      –           –          –
                                                                                                                                                      17         –        –       –        –       –3       –3      +           +          +
              The figure shows a ternary mixture design (A) transformed into an orthogonal one
                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              (B). The orthogonal mixture design combines with a factorial design in three factors                                                    18         +        –       –        –       –1       –3      +           –          +
              and fractionates to give the combined fractional mixture-factorial design (C).                                                          19         –        +       –        –        1       –3      +           –          +
                                                                                                                                                      20         +        +       –        –        3       –3      +           +          +
              FIGURE 13.8 Mixture factors, a transformation, and a                                                                                    21         –        –       +        –       –3       –1      +           +          –
              combined mixture-factorial.                                                                                                             22         +        –       +        –       –1       –1      +           –          –
                                                                                                                                                      23         –        +       +        –        1       –1      +           –          –
                                                                                                                                                      24         +        +       +        –        3       –1      +           +          –
                                                                                                                                                      25         –        –       –        +       –3        1      +           +          –
              — a more manageable number. However, the reader will note                                                                               26         +        –       –        +       –1        1      +           –          –
                                                                                                                                                      27         –        +       –        +        1        1      +           –          –
              that the mixture design is a four-level factorial. Thus far, only
                                                                                                                                                      28         +        +       –        +        3        1      +           +          –
              two-level factorials have been studied. The next section                                                                                29         –        –       +        +       –3        3      +           +          +
              describes how to use the principles of two-level factorials to                                                                          30         +        –       +        +       –1        3      +           –          +
              generate any 2n-level factorial.                                                                                                        31         –        +       +        +        1        3      +           –          +
                                                                                                                                                      32         +        +       +        +        3        3      +           +          +
                                                                                xi =        ∑2
                                                                                          j = a,b ,Kn
                                                                                                        n −i
                                                                                                               xia                  (13.49)                     KNOWLEDGE WITH SED
                                                                                                                                                 Although SED is a powerful tool, there is no substitute for
                                                                                                                                                 intelligence. It is important to think carefully about the prob-
              In the present case, this equates to x1 = 2x1a + x1b. This keeps                                                                   lem and the desired outcomes. Combining domain knowl-
              the matrix orthogonal and preserves the two-unit difference                                                                        edge with SED is a very powerful way to tackle experimental
              between adjacent levels.                                                                                                           problems. Even in complex or poorly understood cases,
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                   domain knowledge often supplies the form of the model,                                     knowledge. However, it would be misleading to imply that
                   leaving SED to fit the adjustable parameters. The resulting                                the form of the model must be exactly correct. All models are
                   semi-empirical model is often more parsimonious and has                                    wrong, but some are useful. Power transformations, to which
                   better properties than a purely empirical one.                                             the reciprocal and log functions belong,8 have little effect
                      As an example, consider NOx formation having the fol-                                   unless the ratio of maximum to minimum values is at least 3
                   lowing rate law:                                                                           or greater. Most burners do not have this extreme NOx
                                                                                                              response, although some do. Centerpoint replicates and lack-
                                                                   t       b
                                                                                                              of-fit estimates usually give good guidance as to the appropri-
                                             [NO x ] = A e         ∫           [N ] [O ]dθ
                                                                       −
                                                                           T                 (13.50)          ateness of the model. Nonetheless, one should spend quality
                                                                                 2    2
                                                                   0                                          time thinking about the factors, and particularly about factor
                                                                                                              relationships. Formulation of theoretical models will reduce
                   where A and b are constants, T is absolute temperature, θ is                               experimental time, keep the investigator focused on the prob-
                   time, and the brackets denote volume concentrations of the                                 lem, and partner with SED to generate parsimonious semi-
                   enclosed species. The rate law shows that NOx is a function of                             empirical models. As an aid to the reader, some semi-empiri-
                   temperature, oxygen, and time. Unfortunately, it is not possi-                             cal forms relating to NOx formation and reduction strategies9
                   ble to integrate this function over the tortured path of an                                are itemized in the next section.
                   industrial burner flame. However, presuming that combustion
                   takes place at near stoichiometric conditions6 and using a mix-                            13.6.2 Semi-empirical Models
                   ture fraction approach results in the following model:7
                                                                                                              Equation (13.53) represents a family of semi-empirical mod-
                                                                                                              els that well-represent NOx for a variety of combustion and
                                                       y = a0 + a1 x1 + a2 x 2               (13.51)
                                                                                                              NOx abatement scenarios:7
                                                                                                                                                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                           x4 is the NH3:NOx ratio for ammonia injection (with
                                                                                                                              or without a catalyst)
                                            β1ψ + β 2 ψ 2 + β 3 ψ 3 + K
                                                                                             (13.52)                       x1i is any of the following: the degree of water
                                           = α 0 + α1ξ1 + α 2 x 2 + α11ξ12 + K                                                 injection, steam injection, other diluent injection
                                                                                                                           x2j is any of the following: the weight fraction of
                     Obviously, Eq. (13.52) would require many more coefficients                                               nitrogen in the fuel, degree of air staging, degree
                   (α0 – α11 …) to adequately represent NOx (ψ) as a function of                                               of fuel staging, or fraction of burners out of
                   heat release (ξ1). Clearly, Eq. (13.51) is a more parsimonious                                              service
                   model than Eq. (13.52).
                                                                                                                 To construct the model, include the first three terms of Eq.
                   13.6.1 Practical Considerations                                                            (13.53) and any other pertinent effects. For example, NOx
                   The contrast between Eq. (13.51) and Eq. (13.52) under-                                    from combustion of high-nitrogen fuel oil in a burner using
                   scores the value of applying SED in concert with domain                                    air staging and steam injection generates Eq. 13.54:
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                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 13.9 Flowchart showing a general sequential experimental strategy.
                   y = a0 + a1 x1 + a2 x 2 + a15 x1 x 5 + a26 x 2 x 6 + a27 x 2 x 7 (13.54)      have that luxury. Despite the experimenter’s best efforts, even
                                                                                                 the best science contains trial, error, and serendipity. As a
              where x5 is the degree of steam injection                                          rule, it is best not to spend more than 25% of the budget in
                                                                                                 the first experimental series. That way, subsequent experi-
                    x6 is the fraction of nitrogen in the fuel
                                                                                                 ments are planned in light of knowledge gained. These reflec-
                    x7 is the degree of air staging
                                                                                                 tions point to developing some strategy for learning during
                    a15, a26, and a27 are the constant coefficients
                                                                                                 the experimental process.
                                                                                                    Figure 13.9 outlines a general experimental strategy. It
              13.6.3 Sequential Experimental Strategies                                          starts by using domain knowledge to identify important can-
              Paradoxically, the best time to plan experiments is after one                      didate factors and conjecture about their relationship. Expe-
              has performed them. Only then does one understand which                            rience shows that while investigators identify significant
              are the right experiments. Unfortunately, investigators never                      factors, they often overlook important candidates. In general,
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                                                                                                    Can generate:
                                                                                                                    3              2 3                            3
                                                                                                     y = ao +     S aixi + iS< j Sj = 1aij x ix j +iS=1a ijx i2
                                                                                                                 i =1
                   it is best to err on the side of including too many factors rather                    try again. In this figure, the investigator has found a region
                   than too few. Screening designs such as those described in                            of interest that requires better resolution. He augments the
                   Section 13.3.4 can reduce the number of tests. Foldover and                           design via foldover in Figure 13.10B and generates several
                   blocking in, covered in Section 13.3.7, increase the resolution                       interaction terms. Two additional centerpoint replicates con-
                   of the factorial design. If diagnostics show a lack of fit as in                      firm significant lack of fit. Therefore, in Figure 13.10C, the
                   Section 13.3.2, one may augment the design with axial points                          investigator augments the design with axial points to form a
                   to form a second-order design as in Section 13.4. As an                               central-composite design that accounts for curvature.
                   optimum is approached, second-order designs often become
                   necessary. If the resulting models are still insufficient, the                        13.7           LINEAR ALGEBRA PRIMER
                   investigators should carefully examine the way they per-                              This section reviews Taylor and MacLaurin series approxi-
                   formed the experiments, review candidate factor lists, and                            mations and their relevance to SED. It also reviews elemen-
                   enlist the aid of colleagues. Be especially alert for aberrant                        tary matrix operations, for example, matrix multiplication,
                   responses from quality data. Often, the data point the way to                         identity and inverse, and addition. These linear algebra topics
                   influential but previously unknown factors and relations.                             are implicit and fundamental to SED calculations.
                      Figure 13.10 shows one sequential experimental strategy
                   for f = 3. The investigator starts with a fractional-factorial                        13.7.1 Taylor and MacLaurin Series
                   design and two centerpoint replicates in Figure 13.10A, gen-                                 Approximations
                   erating a linear model. If the model is insufficient, the inves-                      Why do SED methods work? One can use first-, second-, and
                   tigator can move in the direction of improved response and                            higher-order curves to approximate engineering functions
                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              because a Taylor series allows it. Consider an arbitrary analytic                                                                                            Thus, a2n refers to the second row, nth column in matrix a. A
              function y(ξ). An interval centered at a can be approximated                                                                                                 double underline indicates a matrix. A matrix having a single
              using a Taylor series:                                                                                                                                       column or row (also known as a vector) uses a single under-
                                                                                                                                                                           line. In general, a matrix can contain any number of rows and
                                                                                                              d 2 y (ξ − a)
                                                                                                                                                   2
                                                                                                                                                                           columns, and the number of rows and columns need not be
                                                                         y(ξ) = y(a) +              ( ξ − a) + 2
                                                                                                 dy
                                                                                                                            + L (13.55)
                                                                                                 dξ           dξ       2!                                                  equal.
                                                                                                                                                                                 =                2 i i1                  2i i 2    L              a2 i bip       (13.59)
                                                                                                                                                                                       i =1                    i =1                         i =1            
                Often, the function y is unknown (or unknowable). This                                                                                                                        M                       M             O              M        
                                                                                                                                                                                        n                       n                            n              
                                                                                                                                                                                       ∑                        ∑                            ∑
              makes it impossible to derive the partial derivatives analytically.
              However, Eq. (13.37), developed in Section 13.4, gives the                                                                                                                     ami bi1                 ami bi 2      L              ami bip 
                                                                                                                                                                                       i =1                    i =1                         i =1            
              general second-order regression model:
                                                                                                                                                                              In general, matrix multiplication is not commutative (ab ≠ ba,
                                                                         y = a0 +   ∑a x + ∑∑a x x + ∑a x
                                                                                    i
                                                                                             i i
                                                                                                        i< j       j
                                                                                                                              ij i    j
                                                                                                                                               i
                                                                                                                                                          2
                                                                                                                                                       ii i   (13.37)      in general). It is associative, a(ba) = (ab)c. One can multiply
                                                                                                                                                                           a constant and a matrix, that operation being commutative
                                                                                                                                                                           ak = ka:
              Its coefficients correspond one-for-one with the partial deriv-
              atives in Eq. (13.57) up to the second order. Therefore, the
              coefficients (ai , aij , and 2!aii ) estimate the partial derivatives                                                                                          a11      a12          L a1n        ka11              ka12         L ka1n 
              in the MacLaurin series. One can estimate the coefficients for                                                                                                 a21      a22          L a2 n       ka                ka22         L ka2 n 
              Eq. (13.37) using the least-squares technique.                                                                                                                                               k =  21                                      (13.60)
                                                                                                                                                                             M         M           O M          M                   M          O   M 
                 Consider a, a general m × n matrix (read m by n):                                                                                                          a                      L amn       ka                             L kamn 
                                                                                                                                                                             m1       am 2                       m1                kam 2
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                   Chapter 14
                                                                   Burner Testing
                                                                                                  Jeffrey Lewallen, Robert Hayes, Prem Singh, and Richard T. Waibel
TABLE OF CONTENTS
                                                                                                                                                       431
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FIGURE 14.1 John Zink Co., LLC, R&D Test Center, Tulsa, Oklahoma. (With permission.)
              14.1                                                        INTRODUCTION      conditions can be simulated and the actual operational perfor-
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              Burner testing provides an opportunity to gather and verify                   mance of a burner can be measured accurately. Testing allows
              valuable information such as operating parameters, pollutant                  a burner manufacturer to optimize a burner design to closely
              emissions, flame dimensions, the heat flux data, safety                       meet the requirements of a specific application.
              limitations, and noise data. Information from test data is often                 The operating parameters that can be obtained through test-
              essential for performance verification of customer applications               ing include the heat release envelope of the burner. Burners are
              as well as being vital to research and development efforts.                   sized for maximum heat release with a specified turndown, or
              Empirical data collected from burner testing is a valuable                    a minimum rate at which a burner can be safely operated.
              source of information that can be used to improve the                         Turndown is defined as the ratio of maximum heat release to
              predictive capabilities of CFD models, which are becoming                     minimum heat release. For example, if the maximum heat
              more prevalent tools used in the research, development, and                   release of a burner is 5 MMBtu/hr and the minimum heat
              design of combustion equipment at the forefront of technology                 release of that burner is 1 MMBtu/hr, then the turndown is 5:1.
              in the industry. At state-of-the-art test facilities as shown in              Another variable operators and engineers may need to know is
              Figure 14.1, testing is done year-round to provide furnace                    what happens to a burner if it is fired beyond its maximum
              designers with the data they need to improve heater designs                   designed heat release. With this performance information, a
              and operate their heaters and furnaces more efficiently as well               customer can set a target oxygen level in the flue gas to stay
              as to develop new technology to meet the ever-increasing                      above or set an upper pressure limit for a given fuel to stay
              demands of customer processes and environmental regulation.                   below to ensure that the burner does not exceed the designed
                 While designing a burner appears to involve relatively simple              parameters. More importantly, test data can determine the upper
              calculations, it is difficult to predict how a burner will operate            heat release value at which a burner can be safely operated for
              over a broad range of operating conditions. Considering the                   short durations until a process upset can be corrected.
              multitude of heater applications, the wide range of fuels avail-                 An operator also needs to know the point at which a burner
              able to be burned, the required pollutant levels to be met, and               will become unstable if fired below the minimum heat release.
              the different ways to supply air, the variations between burner               The rate at which a burner can be fired below the designed
              designs are nearly infinite. Through full-scale testing, specific             minimum heat release is defined as the absolute minimum.
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                   A lower pressure limit can be set for the fuel gas to ensure safe           decoking procedures can be increased, improving the heater’s
                   heater operation. This information is especially useful in deter-           runtime and thus its efficiency.
                   mining how many burners should be fired and at what heat                       Testing can provide a variety of data concerning a burner’s
                   release for special operations. Decoking and furnace startup to             performance. But without a proper setup, the correct instru-
                   cure refractory are examples of special operations in which a               mentation and measurement methods, and a well-defined test
                   heater is fired at a level different from its usual designed rate.          procedure (test matrix), the data collected during a test may
                      Along with defining the firing envelope of a burner, the                 be meaningless. This chapter discusses the proper elements
                   proper air door or air damper settings can be determined                    required for conducting a test. Items to be covered include
                   through testing to ensure the efficient operation of a heater               identifying the application of the burner, selecting the correct
                   by controlling the excess oxygen in the flue gas. By running                test furnace, and determining the test fuels to be utilized
                   at lower excess oxygen concentrations, fuel savings can be                  during testing.
                   realized, leading to higher heater efficiency. In complex fur-
                                                                                                  This chapter also discusses the instrumentation necessary
                   naces such as ethylene heaters, which may have hundreds of
                                                                                               to record consistent and accurate data — in particular, the
                   burners in operation at once, advanced knowledge of air door
                                                                                               concentrations of NOx, CO, O2 (wet and dry), unburned
                   settings for various operating conditions can save time in
                                                                                               hydrocarbons, and particulates in the flue gas, heat flux, and
                   trimming out the excess air during actual operation.
                                                                                               noise emissions from the burner. Fuel flow metering and flame
                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                      Other information that can be collected during a burner test
                                                                                               measurement are covered as well.
                   or demonstration includes emissions of pollutants such as
                   NOx, CO, and unburned hydrocarbons (UHCs). Based on                            With input from the heater manufacturer and end user, a
                   theory and field experience, although it is easy to predict                 meaningful test procedure can be put together that will yield
                   emissions for a single fuel, modern burners are often expected              valuable data in determining a burner’s performance under
                   to burn a wide range of fuels. As a result, some fuels may                  different operating conditions and fuels. The test procedure
                   not be fired at their optimum pressures, and variables such as              is designed to answer a specific set of questions regarding the
                   fuel pressure can significantly affect the emission perfor-                 performance of the burner. By closely matching the condi-
                   mance of a burner. By testing a burner in an operating furnace              tions of operation expected in the field, data can be collected
                   prior to final installation, the expected emissions for different           that will aid operators in running their furnaces.
                   operating conditions can be predicted and anticipated with a                   Finally, this chapter discusses data analysis. Once a test is
                   greater degree of accuracy. It is likely that the emission tests            run, it must be determined if the burner has met the criteria
                   in a furnace might differ in the field to some extent due to                outlined in the test procedure. The criteria include performance
                   factors such as interaction with other burners, furnace condi-              guarantees and operating parameters. With the data collected,
                   tions, and changes in fuel compositions.                                    the test engineer can optimize the burner to improve emissions,
                      When firing burners with a wide variety of fuels, flame                  flame dimensions, stability, and air flow distribution.
                   dimensions can change, depending on the fuel fired and the                    Armed with the knowledge described above, customers
                   operating fuel pressure, as well as the heat release, because               will have a greater understanding of what to expect from a
                   the mixing energy available can significantly affect the vol-               burner test, as well as what goes into setting up and conduct-
                   ume or shape of a flame. By conducting a burner test over                   ing a test that will provide meaningful data. API 535 gives
                   the normal operating envelope of a burner, the dimensions of                some good guidelines for specifications and data required for
                   the flame can be determined for all conditions. The flame                   burners used in fired heaters.1
                   dimensions are important for ensuring there is no flame
                   impingement on the process tubes in the furnace.
                      Another valuable piece of data that can be collected is noise            14.2           BURNER TEST SETUP
                   data. New plants built today, as well as existing plants, see               One of the most important aspects of a burner test is the setup.
                   stricter requirements for noise levels. Depending on the sever-             This includes the selection of a test furnace, which is
                   ity of the requirement, mufflers can be designed to attenuate               determined by the type of burner to be tested and its
                   the burner noise to acceptable levels.                                      installation configuration. Typically, test furnaces are built with
                      Some burners are designed to heat a furnace wall. For these              one of two methods of cooling: a water-cooled jacket or a
                   burners, heat flux profiles can be determined through testing               series of water-cooled tubes. A water jacket is simply a furnace
                   to provide heater manufacturers with information about the                  surrounded by two shells (inner and outer) of carbon steel that
                   transfer of heat radiated from the wall to the process tubes.               contains circulating water between the shells. This keeps
                   By optimizing the heat flux profile, cycle times between                    cooling water on the four vertical surfaces to transfer heat. The
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                                                                                    14.2.1 Application
                                                                                    Although any fuel (solid, liquid, or gas) can be used in a
                                                                                    burner designed for a specified fuel type, this chapter is lim-
                                                                                    ited to gas and liquid fuel firing, as they are by far the most
                                                                                    common found in the hydrocarbon and petrochemical indus-
                                                                                    tries. When firing a fuel, the normal products of combustion
                                                                                    are CO2, H2O, N2, O2, and the energy or heat released during
                                                                                    a combustion process. Unfortunately, there are also other less
                                                                                    desirable products that may be released as well. These com-
                                                                                    monly include unburned hydrocarbons (UHCs), particulates,
                                                                                    NOx, SOx, and CO.
                                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 14.3 Test furnace for simulation of down-fired tests.
                                                                    HHV
                                                    Wobbe index =              (14.1)
                                                                     SG
                   The specific gravity (SG) for a gas is the ratio of the molecular
                   weight of a gas to the molecular weight of air. The specific
                   gravity for a liquid is the ratio of the density of a liquid to the
                   density of water. It is important to note that the two fluids
                   should be compared at the same temperature. Two fuels will                   FIGURE 14.4 Test furnace for simulation of up-fired tests.
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                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 14.5 Test furnace for simulation of terrace wall reformers.
              provide the same heat release from a gas tip at a given supply      gaseous fuels available for blending at well-equipped test
              pressure if the Wobbe index is the same.                            facilities include natural gas, propane, propylene, butane,
                 While the Wobbe index is a good indicator to see if a fuel       hydrogen, nitrogen, and carbon dioxide. The composition
              is similar, it is important to try and match the lower heating      of natural gas varies by geographic location. As an example,
              value (LHV), molecular weight, and adiabatic flame tem-             Tulsa natural gas has a typical composition as shown in
              perature to ensure a good simulation. Commonly available            Table 14.1.
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                  TABLE 14.1 Tulsa Natural Gas (TNG) Composition and                                                 With the test fuel(s) established, it is time to determine
                  Properties                                                                                       what measurements will need to be taken and what instru-
                  CH4 (volume%)         93.4                       C4H10 (volume%)                  0.20           ments will be required.
                  C2H4 (volume%)        2.70                       CO2 (volume%)                    0.70
                  C3H8 (volume%)        0.60                       N2 (volume%)                     2.40
                  LHV (Btu/scf)         913                        HHV (Btu/scf)                    1012
                  Molecular weight     17.16                       Specific heat ratio @ 60°F        1.3           14.3                INSTRUMENTATION AND
                  Adiabatic flame temperature (°F)                                                 3452
                                                                                                                                       MEASUREMENTS
                                                                                                                   Measurements generally required during testing (but not lim-
                                    TABLE 14.2 Example Refinery Gas                                                ited to) are fuel pressure and temperature, air pressure drop
                                        Fuel Component             Formula        Volume%                          and temperature, fuel flow measurement, flame dimensions,
                                    Methane                          CH4             8.13a                         and emissions measurements.
                                    Ethane                           C2H6            19.9a
                                    Propane                          C3H8            0.30
                                    Butane                           C4H10           0.06                          14.3.1 Measuring Air-side Pressure and
                                    Ethylene                         C2H4            32.0b
                                    Propylene                        C3H6            0.78
                                                                                                                          Temperature
                                    Butylene                         C4H8            0.66                          Most applications for the hydrocarbon and petrochemical
                                    1-Pentene                        C5H10           0.07                          industries being tested today are natural-draft applications
                                    Benzene                          C6H6            0.12
                                    Carbon monoxide                  CO              0.22
                                                                                                                   where practical measurement of the air flow cannot be done
                                    Hydrogen                         H2              37.8c                         without impacting the quality of the data recorded.
                                    a   Balance of fuel is primarily methane and ethane.
                                    b   Level of olefins in the fuel.                                              14.3.1.1 Natural Draft
                                    c   Hydrogen content.                                                          The combustion air for natural-draft burners is induced
                                                                                                                   through the burner, either by the negative pressure inside the
                    TABLE 14.3 Comparison of Refinery Gas to Test Blend                                            furnace or by fuel gas pressure that educts the air through a
                                         Property                        Refinery Fuel          Test Fuel
                                                                                                                   venturi. Natural-draft burners are the simplest and least
                    LHV (Btu/scf)                                            1031                1026              expensive burners, and are most commonly found in the
                    HHV (Btu/scf)                                            1124                1121
                                                                                                                   hydrocarbon and petrochemical industries. Because the
                    Molecular weight                                         18.09               18.38
                    Specific heat ratio @ 60°F                                1.27                1.26             energy available to draw air into the burner is relatively low,
                    Adiabatic flame temperature (°F)                         3481                3452              there is no practical way to measure the air flow through the
                    Wobbe index                                              1422                1407              burner. As a result, the temperature of the air, the ambient air
                                                                                                                   pressure, the fuel flow, and the excess air measurements are
                                                                                                                   critical for accurately calculating the air flow through a
                      Table 14.2 illustrates an example of a refinery gas and the                                  natural-draft burner.
                   points of interest in determining a test blend that will effec-
                   tively simulate the fuel-handling properties, burning charac-                                   14.3.1.2 Forced Draft
                   teristics (tendency of a fuel to coke, etc.), and emission levels                               Forced-draft burners are supplied with combustion air at a
                   of the customer’s fuel composition.                                                             positive pressure. The air is supplied by mechanical means
                                                                                                                   (air fans/blowers). These burners normally operate at an air-
                      Based on the available fuels for blending, the hydrogen                                      side delivery pressure that can be in excess of 2 inches of
                   content is matched, propylene is used to substitute the ethyl-                                  water column (0.5 kPa). They utilize the air pressure to
                   ene content, and Tulsa natural gas (TNG) is used to simulate                                    provide a superior degree of mixing between fuel and air.
                   the methane content. By holding the hydrogen content fixed                                      Also, with forced-draft systems, air control can be better
                   at 38%, TNG and propylene are balanced to obtain a match                                        maintained, thus allowing furnaces to operate at lower excess
                                                                                                                   air rates over a wide firing range and allowing the operator to
                   of the lower heat value (LHV) and molecular weight. By
                                                                                                                   realize economic savings. Figure 14.7 shows an example of a
                   attempting to balance the LHV, molecular weight, and adia-
                                                                                                                   mobile air preheater used during forced-draft testing.
                   batic flame temperature, a test fuel blend of 34% TNG, 28%
                                                                                                                      With the use of an air delivery system, the air flow can be
                   C3H6, and 38% H2 would be acceptable to simulate the refin-                                     measured to provide a direct method of measuring the air flow
                   ery fuel gas illustrated in Table 14.2. Table 14.3 gives a side-                                to validate the air flow through a burner. Fuel flow metering
                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   by-side comparison of the fuel properties.                                                      is still used to also determine the air flow. By knowing the
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              amount of fuel burned and the excess air exiting the furnace,       comprised of a thermocouple recessed inside a radiation
              the amount of air consumed by combustion at the burner can          shield. An eductor rapidly aspirates the hot gas across the
              be calculated.                                                      thermocouple. This configuration maximizes the convective
                                                                                  heat transfer to the thermocouple while minimizing radiation
              14.3.1.3 Turbine Exhaust Gas (TEG)                                  exchange between the thermocouple and its surroundings,
              Some applications use turbine exhaust gas, often mixed with         ensuring that the equilibrium temperature is nearly that of
              air, as the source of oxygen for the burners. The turbine           the true gas temperature.
              exhaust stream or mixture normally contains between 13 and
              17 mole % oxygen. These burners are also forced-draft type
              burners. When test firing a TEG simulation, it is important to
                                                                                  14.3.3 Emissions Analysis
              match the customer’s TEG stream pressure, temperature, and          Emission analysis is an important criterion for burner testing.
              oxygen content approaching the burner. During this type of          The main pollutants in the combustion products are NOx,
              test, a second set of probes must be arranged to measure the        CO, unburned hydrocarbons, and particulates.
                                                                                                                                                                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              TEG stream composition.
                                                                                  14.3.3.1 NOx
              14.3.2 Furnace Gas Temperature
                                                                                  The chemiluminescent method is most widely used for NOx
                     Measurement                                                  analysis.2 This method is capable of measuring oxides of
              A suction pyrometer (also known as a suction thermocouple           nitrogen from sub-parts per million to 5000 ppm. Newer
              or velocity thermocouple) is widely considered the preferred        detector models are free from the disadvantages inherent in
              method for obtaining accurate gas temperature measure-              analog systems and provide for increased stability, accuracy,
              ments in the harsh environment of a furnace. If a bare              and flexibility. The principle of operation of these analyzers
              thermocouple is introduced into a hot furnace environment           is based on the reaction of nitric oxide (NO) with ozone:
              for the measurement of gas temperature, measurement errors
              can arise due to the radiative exchange between the thermo-
              couple and its surroundings. A suction pyrometer is typically                                 NO + O 3 → NO 2 + O 2 + hν                        (14.2)
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                      The sample, after it is drawn into the reaction chamber,                                        is transparent to the IR radiation and, therefore, produces a
                   reacts with the ozone generated by the internal ozonator. The                                      measured beam that can be absorbed by CO in the cell. These
                   above reaction produces a characteristic luminescence with                                         analyzers can measure 0.1 to 1000 ppm CO under well-
                   an intensity proportional to the concentration of NO. Specif-                                      controlled conditions. The detailed workings of an IR analyzer
                   ically, light emission results when electronically excited NO2                                     can be obtained from a standard text on the subject.
                   molecules decay to lower energy states. The light emission
                   is detected by a photomultiplier tube, which in turn generates                                     14.3.3.3 O2 (Wet and Dry)
                   a proportional electronic signal. The electronic signal is pro-                                    The oxygen concentration is also conveniently measured by
                   cessed by the microcomputer into an NO concentration read-                                         chromatographic techniques using thermal conductivity
                   ing. To measure the NOx (NO + NO2) concentration, NO2 is                                           detectors and also by low resolution FTIR spectroscopy.
                   transformed to NO before reaching the reaction chamber. This                                       Individual measurements of oxygen concentration are most
                   transformation takes place in a converter heated to about                                          widely done by analyzers based on standard polarographic
                   625°C (1160°F). Upon reaching the reaction chamber, the                                            techniques. The detailed working of such analyzers can be
                   converted molecules along with the original NO molecules                                           found in related texts.
                   react with ozone. The resulting signal represents the NOx.
                   Further details of the workings of a chemiluminescent gas                                          14.3.3.4 Unburned Hydrocarbons (UHCs)
                   analyzer can be found in any standard text.                                                        Unburned hydrocarbons (UHCs) increase as the excess air
                                                                                                                      rate decreases. The combustion of hydrogen and paraffin-
                   14.3.3.2 Carbon Monoxide                                                                           rich fuel will produce a minimum of combustibles. The pres-
                   The carbon monoxide (CO) exiting a burner will initially                                           ence of unsaturated hydrocarbons leads to pyrolysis and
                   increase slowly as the excess air rate decreases. The increase                                     polymerization reactions, resulting in more combustibles.
                   will accelerate as excess air levels continue to decline to                                        Unsaturated hydrocarbons, chlorides, amines, and the like
                   near-zero. Typical control points range between 150 and                                            can plug or damage burner tips, disrupting the desired fuel-
                   200 ppm CO. This range usually results in the best overall                                         air mixing. This can cause a further increase in the combusti-
                   heater efficiency. Certain localities may require lower                                            bles level. Heavy oils are more likely to produce greater lev-
                   emission levels. The presence of unsaturated hydrocarbons                                          els of combustibles than lighter oils. Heavier components
                   can lead to pyrolysis and polymerization reactions, resulting                                      are not as easily atomized and ignited, and therefore poly-
                   in a greater possibility that CO will be produced. Burners                                         merization and pyrolysis reactions are more likely to occur.
                   with greater swirl and/or higher combustion air pressure drop                                      Forced-draft burners provide a better mixing of the fuel-air
                   (such as forced-draft burners) typically have lower CO                                             mixture and therefore produce reduced combustibles at
                   emissions at equivalent excess air levels. The reason is that                                      equivalent excess air rates.
                   these burners provide a superior degree of mixing to allow                                            Chromatographic techniques are the most widely used for
                   improved combustion at lower excess air levels.                                                    VOC determination in refinery off-gases. Their use as a multi-
                      Although CO can be continuously monitored by chromato-                                          component, completely automated, and continuous emissions
                   graphic analysis, using thermal conductivity detectors, or by                                      monitor is not documented in the literature.3 Coleman et al.
                   FTIR spectroscopy methods, individual analysis is best                                             have discussed the use of a gas chromatography-based con-
                   accomplished using a nondispersive infrared technique. The                                         tinuous emission monitoring system for the measurement of
                   main advantages of this technique are that it is highly specific                                   VOCs using a dual-column (with DB-5 and PoraPlot U,
                   to CO and has lower ranges with a wider dynamic range,                                             respectively) gas chromatograph equipped with thermal con-
                   increased sensitivity and stability, and easy operation because                                    ductivity detectors, in which separation was optimized for
                   of microcomputer control diagnostics. An added advantage                                           fast chromatography. In this system, nine different VOCs plus
                   of the technique is that the changes in temperature and pres-                                      methane and CO2 were separated and analyzed every 2 min-
                   sure of the sample gas are immediately compensated for by                                          utes. Because permits are issued to report emission in pounds
                   the microcomputer, and the results are thus not affected by                                        or tons of pollutants emitted and not on the basis of parts per
                   fluctuations in the operating conditions. The basic principle                                      million (ppm), the setup was equipped with a continuous mass
                   of these analyzers is based on the radiation from an infrared                                      flow measurement device. The data thus collected can be
                   source passing through a gas filter alternating between CO                                         converted to pounds or mass of VOCs emitted. The DB-5
                   and N2 due to rotation of the filter wheel. The CO gas filter                                      column separates ethanol, isopropanol, n-propanol, methyl
                   acts to produce a reference beam that cannot be further atten-                                     ethyl ketone, isopropyl acetate, heptane, n-propyl acetate, and
                   uated by CO in the sample cell. The N2 side of the filter wheel
                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                      toluene. The PoraPlot U column separates methane and
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              carbon dioxide. A chromatographic technique using two                                                     capability and sensitivity of the method.9–11 A typical low-
              fused silica columns — one with Dura-Bond and the other                                                   resolution FTIR spectrometer uses spectral resolution, BaF2
              with Gas Solid-Q-PLOT — equipped with a flame ionization                                                  optics, a Peltier-cooled semi-conductor detector, and a
              detector was used by Viswanath to measure VOCs in air.4                                                   temperature-controlled multi-reflection gas cell. The advan-
                 A technique reported by Pleil et al.5 uses the fact that the                                           tages of low-resolution FTIR over conventional high-resolu-
              compounds once identified by retention time in the chromato-                                              tion FTIR include its rugged design, high signal-to-noise
              graphic analysis can be confirmed by determining a second                                                 ratio without liquid nitrogen-cooled detectors, reduced data
              dimension, such as its mass fragmentation pattern or its infra-                                           storage requirements, and increased dynamic range for quanti-
              red absorption spectrum from a highly specific detector such                                              tave analysis.9
              as a mass selective detector (MSD) or a Fourier transform                                                  Jayanti and Jay12 have summarized studies on estimating
              infrared system (FTIR). Even with this combination, care                                                  VOCs by different techniques employed by various workers.
              should be taken to avoid occasional confusion among iso-
              meric, co-eluting compounds with similar, strongly absorbing                                              14.3.3.5 Particulates
              functional groups. Using this technique, Pleil et al.5 were able
                                                                                                                        Proper combustion of gaseous fuels does not generate signifi-
              to identify and successfully determine more than 40 com-
                                                                                                                        cant quantities of combustion-generated particulates. Particu-
              pounds in the VOCs. They used a cross-linked methyl silicon
                                                                                                                        late emissions generally occur with the burner of heavy fuel
              megabore capillary column with both flame ionization detec-
                                                                                                                        oils. Burners with greater swirl and/or higher combustion air
              tor and electron capture detector simultaneously. A similar
                                                                                                                        pressure (such as forced-draft burners) are less likely to pro-
              study of VOCs was reported by Siegel et al.6 They used a
                                                                                                                        duce particulates. They provide a superior degree of mixing
              DB-1 column with flame ionization detector and a mass selec-
                                                                                                                        to reduce the formation of particulates. Greater atomization
              tive detector (GC/MSD).
                                                                                                                        of fuel oil into finer particles will reduce particulate emis-
                 The U.S. EPA guidelines, as presented in “Compendium of                                                sions. High-intensity burners can considerably reduce partic-
              Methods for the Determination of Toxic Organic Compounds                                                  ulates. The high degree of swirl, coupled with the high-
              in Ambient Air, Method TO-14,” is slowly becoming the cri-                                                temperature reaction zone, induces superior combustion of
              terion for VOCs.7 The recommended method uses cryogenic                                                   the particulates. However, these burners also emit an
              preconcentration of analytes with subsequent gas chromato-                                                increased amount of NOx.
              graphic separation and mass spectrometric detection. The
                                                                                                                           The particulates from hydrocarbon industries are the pollu-
              methodology requires detecting nanogram and subnanogram
                                                                                                                        tants emitted by the effluent gases. The most important crite-
              quantities. To obtain this high sensitivity, Method TO-14 rec-
                                                                                                                        rion for the evaluation of particulates is the particle size. It
              ommends the use of a selective ion monitoring (SIM) spec-
                                                                                                                        has been observed that different results are obtained using
              trometric technique. The details of the method are discussed
                                                                                                                        different techniques of collection and analysis.
              by Pleil et al.7 Evans et al.8 have also discussed the use of a
              cryogenic GC/MSD system to measure the VOCs in air in                                                        The U.S. EPA13 recommended procedures suggest that
              different parts of the country. The sample first passes through                                           sampling ports be located at least 8 × duct diameters down-
              a fused silica column to resolve the target compounds. The                                                stream and 2 × diameters upstream from any flow distur-
              column exit flow splits such that one-third of the flow is                                                bance. Flue gas should be drawn through a U.S. EPA
              directed to the chromatographic column (with the flame ion-                                               sampling train.13 It is important to maintain isokinetic sam-
              ization detector) and two-thirds of the flow goes to the mass                                             pling conditions.
              selective detection system (MSD). The method was found to                                                    Particles can be collected by filtration, impaction, and
              effectively detect 0.1 ppb by volume of about 25 VOCs.                                                    impingement. Glass fiber and membrane filters are efficient
                 Larjava et al.9 have recently reported a comprehensive tech-                                           for 0.3-µm particles. These filters can be used in an inline filter
              nique for the determination of nitric oxide (NO), sulfur dioxide                                          holder. The filter holder can be kept inside the sampling port
              (SO2), carbon monoxide (CO), carbon dioxide (CO2), and total                                              such that the filter attains the temperature of the gas stream.
              hydrocarbons (CxHy) in the air. The technique used single-                                                   For particulate collection by impaction, an Anderson type
              component gas analyzers in parallel with a low-resolution                                                 in-stack sampler is used. In cases where the sampler cannot
              Fourier transform infrared (FTIR) gas analyzer. This technique                                            be accommodated inside the sampling port flange, it can be
              successfully demonstrated that the results obtained by single-                                            put outside, with an arrangement to heat it to prevent con-
              component analyzers and FTIR were very close. Online analysis                                             densation within the sampler. In this type of sampler, the
              of stack gases with FTIR spectrometry has recently received                                               collecting plates are coated by a thin film of silicone grease
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              considerable attention because of the multi-component analysis                                            formed by immersing the plates in a 1% solution of silicone
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                   grease dissolved in benzene and drying them overnight at                  and can be changed to match the flow rate and fuel to be
                   100°C (212°F).                                                            metered. Also, there is a significant amount of data concerning
                      The collection of particulates by impingement consists of              measuring fuel flow via an orifice plate.15 Finally, there are
                   using a series of three or four liquid impingers. These                   no moving parts to wear out. The drawbacks to orifice plates
                   impingers each contain 250 ml distilled water. A common                   are that they are precision instruments and the following must
                   practice is to use impaction and impingement techniques,                  be considered: the flatness of the plate, the smoothness of the
                   followed by glass fiber backup filters.                                   plate surface, the cleanliness of the plate surface, the sharp-
                      Sampling times also vary according to the technique                    ness of the upstream orifice edge, the diameter of the orifice
                   employed; 1 to 5 minute samples are common for filters and                bore, and the thickness of the orifice edge.15 The critical
                   Anderson-type units, while 20 minutes are needed for impingers.           inaccuracies due to these items can be alleviated by the pur-
                      Filter samples are analyzed by light microscopy and scan-              chase of ASTM-approved plates, rather than machining the
                   ning electron microscopy (SEM). The liquid samples from                   plates. Another drawback is loss of accuracy when measuring
                   the wet impingement device are filtered onto 0.2-µm mem-                  flow rates of dirty fuels. While dirty fuels are a way of life
                   brane filters and examined by SEM. The samples from an                    for the refining industry, test fuels are clean (no liquid or solid
                   Anderson sampler can be analyzed by the recommended pro-                  particles in the gaseous fuels), and this concern is minimized.
                   cedure or by calculations based on Ranz and Wong equations.               Two items that should be verified when testing with orifice
                   The Anderson plates can also be examined by SEM to deter-                 plates are that they are installed in the right direction (the
                   mine the range of particles trapped on the plates. Particle               paddle usually indicates the inlet side) and that the correct
                   counts can be done by light microscopy using an oil-immer-                orifice bore is in the correct flow run. While orifice plates can
                   sion lens system.14 Individual particles are compared on the              be used to meter liquids, coriolis meters are often preferred
                   basis of equal area to previously calibrated circle sizes con-            for measuring liquid fuel flows such as No. 6 oil or diesel oil.
                   tained on a size comparator. In an exhaustive study, Byers14
                   took data on particulates from a refinery effluent and sug-                  The coriolis meter operates on the basic principle of motion
                   gested that membrane filters should be preferred when the                 mechanics.15 The coriolis meter is able to measure the mass
                   gas being sampled is at a temperature less than 300°F                     by measuring the amount of vibration the tube carrying the
                   (150°C). For higher temperatures, the Anderson sampler is                 fluid is undergoing. The coriolis meter is a more expensive
                   suitable provided the plates are suitably coated. Sampling                means of measurement, but this is often offset by its degree
                   techniques causing agglomeration, such as glass fiber filters,            of accuracy and its low maintenance requirements.
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              14.3.6 Heat Flux                                                     utilize a crystal window, gas screen, or a mirrored ellipsoidal
                                                                                   cavity to negate convective heat transfer to the sensor. A radi-
              Several techniques have been developed to measure heat flux          ometer is also often equipped with a gas purge in an effort to
              levels at different locations within a furnace. The instruments      keep the crystal window or mirrored ellipsoidal cavity clean
              designed to successfully obtain heat flux data in the hostile        and free from fouling. Critical parameters to consider when
              environment of a full-scale furnace are typically water-cooled       using a heat flux meter include the ruggedness, sensitivity,
              probes, which are inserted through a furnace port at the loca-       calibration method, and view angle of the instrument.
              tion of interest. The probes may utilize pyrometers that mea-
              sure radiant or total (radiant + convective) heat flux levels.
              The sensing element is typically composed of a thermopile-
                                                                                   14.4           TEST MATRIX
              type sensor that outputs a voltage proportional to the tempera-
              ture difference between the area of the element exposed to
                                                                                                  (TEST PROCEDURE)
              heat transfer from the furnace and the area that is cooled and
              kept at a relatively constant temperature per the element            14.4.1 Heater Operation Specifications
              design. Sensor element designs differ chiefly between the            Some of the parameters normally measured in burner testing
              geometry and configuration of the thermopile-type sensing            are fuel pressure, airside pressure drop, noise emissions, NOx
              element. Figures 14.8 and 14.9 show schematics of typical            emissions, CO emissions, UHC emissions, particulate emis-
              heat flux and radiometer designs, respectively. Common               sions, heat flux profiles, and flame dimensions.
              designs utilize a plug-shaped thermopile element with the
              exposed face at one end and the opposite end cooled by con-          14.4.2 Performance Guarantee Specifications
              tact with a heat sink. Others use a disk-shaped sensor with the      The primary reasons for conducting a burner test is to deter-
              temperature gradient existing between the center of the disk         mine the operating envelope of the burner as well as the
              receiving radiant energy and the radial edge, which is cooled        emissions performance. With this data collected, the burner’s
              by contact with a heat sink. A sensor designed to measure            performance in the field will be more predictable and easier
              only the radiant component of heat flux (radiometer) can             to operate.
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                   14.4.2.1 Emissions Guarantees                                                The fuel-side pressure drop is displayed during the test. It
                   It is important to identify which fuels are the operation or              is important that the test engineer ensure that the customer’s
                   online fuels and which fuels are for start-up or emergency use            fuel will meet the design pressure requirement based on the
                   only. By identifying which fuels the emissions guarantees                 data collected on the test fuels.
                   apply to, the burner can be better optimized to run on the                   When verifying the air-side pressure drop, the test engineer
                   operation fuels.                                                          must determine the elevation and the range of the ambient air
                                                                                             temperatures that the burners will be subjected to once
                   14.4.2.2 Noise                                                            installed in the field.
                   Noise emissions are becoming as important as stack
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   emissions. With some refineries located near populated areas,             14.4.2.4 Flame Dimension Guarantees
                   it is important to keep noise to a minimum. Burner testing is
                                                                                             Flame dimensions in a full-scale furnace are typically made
                   usually conducted on a single burner and noise emissions are
                                                                                             by subjective measurement. The flame envelope is most often
                   usually measured 1 m (3 ft) from the burner. Data collected
                                                                                             determined by visual observation. This operating parameter
                   during the test include an overall dBA measurement and an
                                                                                             is important to ensure that the flame will not impinge on the
                   octave band measurement ranging from 31.5 to 8000 Hz.
                                                                                             furnace process tubes or interact with another burner’s flame.
                   When collecting noise data, it is important to measure it with
                                                                                             Flame impingement on the tubes can damage the process
                   the burner operating and without it operating, to obtain the
                                                                                             tubes and cause the furnace to prematurely shut down for
                   background noise, which may or may not be required to
                                                                                             repairs — at great expense to the operator. Flame interaction
                   determine the noise contribution from the burner.
                                                                                             between two or more burners can result in longer, more
                                                                                             uncontrollable flames and higher emissions. It is important to
                   14.4.2.3 Fuel and Air-side Pressure Drop                                  identify the burner spacing, the furnace dimensions, and the
                   The fuel and air-side pressure drop also need to be verified              customer’s desired flame dimensions. With this information,
                   during the test. The test confirms that the burner will have the          the test engineer can fine-tune the flame envelope to improve
                   correct capacity for proper operation.                                    the burner’s performance in the customer’s heater.
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              14.4.3 Definition of Data to be Collected                                 7. J.D. Pleil, T.L. Vossler, W.A. McClenny, and K.D. Oliver,
              Prior to installation and testing a burner, a test matrix (test              Optimizing sensitivity of SIM mode of GC/MS
              procedure) must be developed. A sample fuel gas specifica-                   analysis for EPA’s TO-14 air toxics method, J. Air
              tion is shown in Table 14.4. A typical test procedure might                  Waste Manag. Assoc., 41, 287, 1991.
              resemble that shown in Table 14.5. With a well-developed
              test procedure, the data collected from a test will be meaning-          8. G.F. Evans, T.A. Lumpkin, D.L. Smith, and
              ful and will assist the operator in running the furnace and pre-            M.C. Somerville, Measurement of VOCs from the
              dicting the performance from the furnace.                                   TAMS network, J. Air Waste Manag. Assoc., 42, 1319,
                                                                                          1992.
                                                                                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                          Assoc., 47, 1284, 1997.
                  2. B.K. Gullett, M.L. Lin, P.W. Groff, and J.M. Chen,
                     NOx removal with combined selective catalytic                   10. K. Wülbern, On line messung von rauchgasen mit
                     reduction and selective non catalytic reduction: pilot              einen FTIR spektrometer, VGB Kraftwerkstechnik, 72,
                     scale test results, J. Air Waste Manag. Assoc., 44, 1188,           985, 1992.
                     1994.
                                                                                     11. J.C. Demirgian and M.D. Erickson, The potential of
                  3. W.M. Coleman, L.M. Dominguez, and B.M. Gordon, A
                                                                                         continuous emission monitoring of hazardous waste
                     gas chromatographic continuous emission monitoring
                                                                                         incinerators using FTIR spectroscopy, Waste
                     system for the determination of VOCs and HAPs, J. Air
                     Waste Manag. Assoc., 46, 30, 1996.                                  Management, 10, 227, 1990.
                  4. R.S. Viswanath, Characteristics of oil field emissions in       12. R.K.M. Jayanti and B.W. Jay (Jr.), Measurement of
                     the vicinity of Tulsa, Oklahoma, J. Air Waste Manag.                toxic and related air pollutants, J. Air Waste Manag.
                     Assoc., 44, 989, 1994.                                              Assoc., 40, 1631, 1990.
                  5. J.D. Pleil, K.D. Oliver, and W.A. McClenny, Ambient
                                                                                     13. Standard Performance for New Stationary Sources,
                     air analyses using nonspecific flame ionization and
                                                                                         Environmental Protection Agency, Federal Register,
                     electron capture detection compared to specific
                     detection by mass spectroscopy, J. Air Waste Manag.                 36, No. 247, December 23, 1971.
                     Assoc., 38, 1006, 1988.
                                                                                     14. R.L. Byers, Evaluation of effluent gas particulate
                  6. W.O. Siegel, R.W. McCabe, W. Chun, E.W. Kaiser,                     collection and sizing methods, API Proc. Division
                     J. Perry, Y.I. Henig, F.H. Trinker, and R.W. Anderson,              Refining, 53, 60, 1973.
                     Speciated hydrocarbon emission from the combustion
                     of single component fuels. I. Effect of fuel structure,         15. D.W. Spitzer, Practical Guides for Measurement and
                     J. Air Waste Manag. Assoc., 42, 912, 1992.                          Control, Instrument Society of America, 1991.
Specifications
Fuel Component
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                 John Zink Company                                             Burner Performance Demonstration                                                                              Date:       2/4/00
                 Tulsa, OK (English)                                           Burner Test Procedure                                                                                         Rev. No:
                 J.Z. SO No:                                       Customer:                                                         User:                   Burner Drawing No:                          Furn.
                 Burner:                      PSFFG-45M             P.O. No:                                                         Jobsite:                Capacity Curve:
                 Test Acceptance:
                 Name:                                             Company:                                        Signature:                                                                Date:
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                         Chapter 15
                                                                         Installation and Maintenance
                                                                                                                                                               Roger H. Witte and Eugene A. Barrington
TABLE OF CONTENTS
                                                                                                                                                             449
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              15.2            INSTALLATION
                                                                                            15.2.2 Burner Pre-installation Work
              Improperly installed burners will not operate efficiently and
              may damage the heater during service. The burners must be                     15.2.2.1 Bill of Materials
              installed in accordance with the burner manufacturer’s rec-                   The burner should be unpacked and inspected to ensure that
              ommended procedure.                                                           all parts are in accordance with the bill of materials included
                                                                                            with the burner. Missing parts or parts that appear to be
                                                                                            incorrect or damaged should be immediately reported to the
              15.2.1 Prepare the Heater                                                     burner manufacturer for correction. The bill of materials will
              15.2.1.1 Safety                                                               list the main burner parts, such as the burner assembly and
              A safety checklist for the work to be performed should be pre-                burner tile, and other miscellaneous parts. Confirm that any
              pared and reviewed by all personnel working on the heater.                    preassembled parts are as shown on the burner drawing.
              This will vary, depending on the type of project and the
              requirements of the installing and purchasing companies. A                    15.2.2.2 Burner Drawing
              common requirement is unimpeded access for the final burner                   The burner manufacturer provides a drawing of each type of
              placement. A permit detailing the immediate safety require-                   burner supplied to each customer. Do not try to install a
              ments, will normally be issued by the user company.                           burner without the appropriate drawings and instructions.
                                                                                            The burner drawing will show the outside tile dimensions;
              15.2.1.2 New Heaters                                                          burner orientation; and positions of the gas tips, the pilot tip,
              Installing new burners on new heaters is usually easier than                  the oil tip (if provided), and the burner tile(s). The burner
              retrofitting burners to an existing heater. The installer com-                mounting bolt pattern will also be shown. All of this informa-
              pares the heater manufacturer’s and burner manufacturer’s                     tion is required to ensure proper installation.
              drawings for the required cutout in the heater steel and the
              burner mounting bolt pattern, including bolt circle and size                  15.2.2.3 Installation and Operating Instructions
              (see Figure 15.1). These are compared to the field measure-                   With each burner project, the manufacturer typically sends a
              ments of the same dimensions. If differences are discov-                      copy of installation and operating instructions for the burner
              ered, they must be resolved before proceeding with the                        and any auxiliary equipment provided. These instructions
              installation work.                                                            will provide the following basic information:
                 The heater steel is checked for interferences with the burner                    1.      safety summary
              steel and for flatness. Any necessary work should be com-                           2.      design specifications
              pleted before attempting burner installation.                                       3.      reference drawings
                                                                                                  4.      receiving and handling of the equipment
              15.2.1.3 Existing Heaters                                                           5.      installation of the burner and auxiliary equipment
              Installing burners on existing heaters is usually more difficult                    6.      operation of the burner and auxiliary equipment
              because some refractory must often be removed, the new                              7.      troubleshooting recommendations
                                                                                                  8.      maintenance instructions
              burners may be of different sizes than the old burners, and/or
                                                                                                  9.      recommended spare parts list
              the heater steel will often be warped after years of service
                                                                                                 10.      service available
              (see Figure 15.2). The warping may make it difficult to main-
              tain the installation tolerances required for proper burner per-                 The burner installer should be familiar with the installation
              formance. Figure 15.3 depicts a burner improperly installed                   and operating manual as it provides the information necessary
              at an angle. Such an installation can cause undesirable flame                 for a satisfactory installation. If old burners are being rein-
                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 15.1 Heater cutout and burner bolt circle on                                      FIGURE 15.3 Burner improperly installed at an angle
                   a new heater.                                                                            due to a warped shell.
              15.2.3.2 Burner
              The burner is commonly attached to the heater steel in one of
              three ways:
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   make the positioning easier. These flexible connectors should
                   be made of steel to meet the required temperature and pres-
                   sure ratings and provide reasonable durability. The end con-
                   nections of flexible steel hoses are points of weakness unless
                   designed and fabricated by reliable suppliers. The hoses
                   should have a braided armor covering to resist impact and
                   rough handling. Care should be taken in handling and instal-              FIGURE 15.11 Piping improperly loaded on the burner
                   lation to avoid sharp bends or “kinks” that can be the cause              inlet.
                   of catastrophic hose failure.
              heater refractory thickness. The burner secondary tile projec-        ceramic fiber refractory in the expansion gap between the tile
              tion from the casing is at least as great as the heater refrac-       and the refractory. The heater refractory should be installed
              tory thickness. Some burner tiles may extend an additional            prior to burner tile placement.
              1.5 in. beyond the heater refractory.                                    An alternative secondary tile installation method involves
                                                                                    the burner manufacturer placing the tile into a (usually metal-
              15.2.4.2 Secondary Tile                                               lic) tile case. In that case, the burner manufacturer is respon-
              The secondary tile is normally the main burner tile attached          sible for maintaining the burner tile dimensions and
              to the heater floor, walls, or roof, depending on burner orien-       tolerances. The installation contractor attaches the tile case
              tation. If the burner is floor-mounted, the secondary tile rests      to the heater and installs the ceramic fiber insulation in the
              on the steel floor around the burner opening. If wall-                expansion gap around the tile case.
              mounted, the burner is supported by both the heater steel and
              the refractory wall of the heater. The secondary tile of a roof-      15.2.4.2.2 Tile Tolerances
              mounted burner is specifically designed to be hung from the           Consult the manufacturer’s burner drawing for the burner tile
              roof steel of the heater firebox.                                     dimensional tolerances; the tolerances for the secondary tile
                 The burner tile is commonly designed for a maximum                 are typically ± 0.5 in. (± 1.3 cm). Each piece of a tile is nor-
              service temperature of 2400 to 3000°F (1425 to 1650°C) and            mally sealed to its neighbors with relatively thin mortar com-
              fabricated in one or more pieces, depending on the size and           pletely covering and sealing the joined sides. If too much
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              design of the burner. Figure 15.12 reveals a cross-sectional          mortar is applied, the tile tolerances cannot be maintained to
              view of a round burner tile with a number of tile sections.           specification. After all tile sections are installed and before
              The tile is normally supplied by the burner manufacturer.             the mortar sets, the burner dimensions are checked. On a
                 Because the secondary tile forms the air orifice to control        round flame burner, the tile outside diameter is measured in
              the airflow to the combustion reaction, its dimensions are            four directions to ensure that the dimensions are within the
              critical. The installation must not alter the outside dimensions      tolerances (see Figure 15.13). If the tile is rectangular, check
              shown on the burner manufacturer’s drawing.                           the dimensions at two locations on each of the long and short
                                                                                    sides (see Figure 15.14). After all other interior work on the
              15.2.4.2.1 Tile Installation                                          heater is complete, recheck the tile condition and dimensions
              Most commonly, the burner manufacturer will specify the               and confirm that no loose material is blocking the throat.
              outside diameter of the burner tile to the heater manufacturer           All dimensions of the tile are on the burner drawing, and
              and installer. The manufacturer or heater installer will form         the tile installation must be in accordance and within the range
              the refractory covering the surface to which the burner               of tolerances. Table 15.1 shows the difference in area of a
              mounts, leaving an opening for the burner that typically              burner that has different tile dimensions. The flow rate and
              includes an expansion gap of 0.5 in. (1.3 cm) around the              distribution of air through the burner are a function of the tile
              periphery. The burner installer will then install the secondary       open area and shape. Larger open areas allow a higher flow
              tile on the centerlines of the burner opening and place               rate of air than smaller areas for the same pressure drop or
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                                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   and less likely to be damaged in service. If the opening is
                   damaged or worn, the air distribution and flame quality suffer.
              TABLE 15.1 Burner Throat Area for Different Tile                                                               15.2.6 Burner Installation Inspection
              Dimensions                                                                                                     Once the burners are bolted onto the heater or plenum and the
                Diameter                                                      Area in      Diameter in   Area in Square      surrounding refractory is placed, everything must be
                in Inches                                                  Square Inches   Centimeters    Centimeters
                                                                                                                             inspected to confirm that all dimensions and orientations are
                                                                      10       78.54          25.40          506.71          correct. In addition to checking the tile(s) as previously dis-
                                                                      12      113.10          30.48          729.66
                                                                      14      153.94          35.56          993.15          cussed, the positions and orientations of the gas tips, oil tip,
                                                                      16      201.06          40.64         1297.17          and pilot tip must be checked. Any protective tape must be
                                                                      18      254.47          45.72         1641.73          removed from the tips, and it is necessary to confirm that the
                                                                      20      314.16          50.80         2026.83
                                                                      24      452.39          60.96         2918.63
                                                                                                                             ports are clear of foreign material.
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   total air flow is adjusted with the burner air registers or
                   dampers, the heater stack damper(s), or with dampers or
                   speed control on fans. Air flow is usually adjusted to meet a
                   target level of excess oxygen in the firebox.
              level(s) defines the driving force to push air through the burn-      and viscosity to be more reliably maintained at the levels
              ers and supply the air for combustion. These dampers should           required for adequate atomization. Lighter fuel oils with less
              be exercised for proper function after installation, after any        concern for viscosity control may or may not need to be
              repair of the damper or actuator, and after any combustion            heated (see Figure 15.22).
              upset event that could overheat the damper. Refractory has
              been known to fall from stacks, even during installation, and         15.2.8.1 Line Sizing
              cause the stack damper to not function correctly. Inspect to          Good engineering design attempts to equalize the flows in the
              ensure that no debris affects the operation of the damper or          fuel lines leading from a common manifold to individual
              restricts the flow of flue gas from the heater.                       burners. Both momentum and friction effects on flow distri-
                                                                                    bution from the manifold should be considered. Equalizing
                                                                                    the burner flows promotes uniform flame patterns and even
              15.2.8 Fuel Piping Design
                                                                                    heat distribution within the firebox.
              The fuel piping from the header to the burner should leave               In heated fuel oil systems, it is common to circulate more
              the header vertically upward and then run to the burner (see          oil than is burned to minimize the lowering of oil temperature
              Figure 15.20). This reduces the possibility that liquids in a         at the burners due to heat losses from the piping. The pro-
              gas fuel system or solids in a liquid fuel system will leave the      portion of oil returned unburned to the fuel preparation and
              header and enter burners. Liquids in a gas burner can cause           heating facilities decreases as the amount of oil burned
              fouling and plugging of the tip ports or orifice and can, in          increases. This is due primarily to the reduction in the ratio
              large amounts, extinguish the flame. Solids in a liquid fuel          of insulation surface area to oil volume circulated as the oil
              system will plug the passages in oil atomizers and tips.              flow and piping size increase. The return flow will vary from
                The fuel oil piping for a system handling no. 6 or heavier          about three-quarters of the total flow in small systems to one-
              fuel should be an insulated circulating system, as shown in           third of total flow in very large systems or, for every barrel
              Figure 15.21. This type of system allows the oil temperature          burned, 0.5 to 3 barrels will be returned, depending on the
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                   specific gravity of the oil. If time allows, a heat trans-                            fuel oil tips and atomizers, flame stabilizer cone or tile ledge,
                   ferred/heat balance comparison calculation provides the                               pilot tip, and burner tile. The air registers and dampers should
                   required flows. The excess or return flow provides heat to                            require less frequent maintenance. Operators and inspection
                   ensure against solidification of heavy residual oils, possibly                        personnel should inspect all of these when developing a
                   requiring piping disassembly and cleaning or total replace-                           maintenance worklist.
                   ment. Lighter oil fuels with less concern for viscosity control                          Many burner maintenance activities can be completed
                   and no need to heat the fuel do not require a return system.                          while the heater continues to operate. Some are simple and
                                                                                                         may occur fairly frequently. Among these are removal of oil
                                                                                                         guns, gas tips, and pilot burners for cleaning, the removal of
                   15.3            MAINTENANCE                                                           center-fired raw gas guns, and maintenance on the regis-
                   Burner performance typically deteriorates with operating                              ters/dampers of burners that are not in plenums. Complete
                   time due to fouling, plugging, and wear on the components.                            removal of an inactive burner on a natural-draft heater can be
                   The fouling, plugging, and wear reduce the effectiveness of                           done while the heater operates, but safety issues must be
                   the fuel and air mixing and can affect the flame and heat flux                        addressed. The heater must be kept operating steadily so that
                   patterns in ways that reduce the heater efficiency and heating                        the firebox pressure stays negative. Procedures to minimize
                   capability. The burner parts that usually require maintenance                         the exposure of personnel, proper protective clothing, tools
                   to avoid serious performance loss or safety issues include the                        to handle the burner (particularly if it is a heavy floor-mounted
                   fuel gas tips, the fuel gas orifice and mixer (premix designs),
                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---          unit), and temporary sealing of the burner opening must all
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--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                         • amine compounds from the fuel gas hydrogen sulfide
                                                                                           removal process
                                                                                         • coking of condensed heavy or unsaturated hydrocarbons
                                                                                           in the fuel gas
                                                                                         • polymers that form inside the burner heater risers or tips
                                                                                         • hydrocarbon mists that vaporize or react in hot risers or
                                                                                           fuel tips
FIGURE 15.26 Typical diffuser cone. FIGURE 15.27 Typical spin diffuser.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                       Chapter 16
                                                                       Burner/Heater Operations
                                                                                                                                                             Roger H. Witte and Eugene A. Barrington
                                                                       TABLE OF CONTENTS
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                           469
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              16.1            BURNER/HEATER OPERATION                                heater, the burner draft loss is the difference between the
              The governing principles for fired process heater and burner           pressure in the firebox at the burner elevation and the atmo-
              operation are:                                                         spheric pressure at that elevation. In a forced-draft heater, the
                                                                                     burner draft loss is the difference between the pressure in the
                    1.    operate safely
                                                                                     windbox or plenum (often positive) and the pressure in the
                    2.    protect the environment
                                                                                     firebox, both at the burner elevation.
                    3.    avoid damage to the fired equipment
                    4.    satisfy the processing heat requirements                      Most of the process heaters within HPCI operate with a
                    5.    maximize heater efficiency                                 negative pressure in the firebox. Because the firebox is not
              To accomplish these goals, procedures are established to               completely sealed, if there is any air leakage it will be outside
              guide heater startup, continuing operation, efficiency                 air leaking into the firebox rather than combustion gases
              improvement, handling of emergencies, and operation of the             leaking out of the firebox. Positive pressure inside the heater
              fuel and air supply systems. In each case, the operator must           can cause flue gas leakage and damage to the furnace casing
              refer to measurements to properly control the combustion               and structure. A positive pressure can even create a safety
              reaction and monitor the performance of the heater.                    hazard to operating personnel.
                 The most important measurements for safely controlling                 Almost all fired process heaters should operate with a neg-
              combustion are draft (or pressure within the casing), excess           ative static pressure, or draft, throughout the flue gas path.
              air (measured as excess oxygen), fuel flow and pressure, and           This draft should be measured at specific points (see Figure
              liquid fuel and atomization medium pressure and temperature.           16.1). Most important is to measure and control the draft at
              The operator should also be aware of the combustion air                the location of highest pressure within the heater; this typi-
              temperature. For proper heater operation, the operator must            cally occurs at the roof of the radiant section (or firebox).
              also monitor the temperature of the hot gases at the exit from         The draft is the lowest at this point, and maintaining a slight
              the firebox (bridgewall temperature), the temperature of the           negative pressure at this point normally ensures a negative
              flue gases entering the stack, the visual appearance of the            pressure throughout the heater. Another location for draft
              flames and tubes, the temperature of the process tubes, the            measurement is at the elevation(s) of the burners. This is
              appearance and condition of the refractory, the process fluid          checked to ensure that all burners have an adequate draft loss
              flow rate in each pass, and the process fluid pressure drop            available to supply the necessary combustion air flow. The
              and outlet temperature for each pass.                                  third important location for draft measurement is at the flue
                                                                                     gas outlet from the convection section, often located below
                                                                                     the stack damper. By combining this measurement with the
              16.2 MEASUREMENTS                                                      draft value at the roof of the firebox, in many common heater
              16.2.1 Draft                                                           designs, one can determine the draft loss across the convec-
              Draft is defined in API Standard 560 as the negative pressure          tion tube bank. This can help identify the occurrence of dam-
              of the flue gas measured at any point within the heater.1 Draft        age or excessive fouling in the convection section.
              can be expressed as inches (in.) of water, millimeters (mm)
                                                                                        Draft (static pressure) can be measured with an inclined
              of water, or kiloPascals (kPa). Negative pressure or draft
                                                                                     manometer (see Figure 16.2) or with a dial gauge manometer.
              occurs because the hot flue gas within the confined volume of
                                                                                     Draft transmitters can be mounted externally at the firebox
              the heater and its appurtenances (e.g., ducts, stacks, air pre-
                                                                                     roof level to provide remote draft indication or recording.
              heater, etc.) is less dense than the surrounding atmospheric
                                                                                     Once the draft target at the firebox roof elevation has been
              air. All other factors being equal, the hotter the flue gas
                                                                                     properly determined and made known to the operator, this is
              and/or the colder the surrounding air, the greater the differ-
                                                                                     the only draft that requires frequent monitoring. The static
              ence in densities and the greater the draft or negative pressure
                                                                                     pressures within the firebox and convection section will
              within the heater. The difference in densities causes air to
                                                                                     always be less than this value in a properly designed heater.
              flow into the heater, through the burners or through other
                                                                                     The draft at the firebox roof is controlled by adjusting the
              openings, and the hot flue gases to flow out of the heater.
                                                                                     damper in the stack or, if an induced-draft fan is provided,
                 Draft loss is the pressure drop of air or flue gas as it flows
                                                                                     by adjusting the fan damper or speed.
              through ducts, burners, firebox volume, or air preheaters, and
              across tube banks. In burner terminology, the draft loss across           Erratic draft readings can be caused by pulsating flames or
              the burner is the pressure drop of the combustion air as it            by sample lines that leak, are plugged, or contain water from
              flows through the throat of the burner tile. In a natural-draft        the products of combustion.
                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              most representative of the combustion process. The combus-               increasing cell life and reliability. The instrument therefore
              tion process is what the operator can affect by register and             provides a “dry” analysis of the flue gas, without the moisture
              stack damper adjustments. If the operator depends on an                  contributed by combustion and incoming air humidity. Por-
              excess oxygen reading taken at the stack, that reading may               table analyzers are used for “spot” analyses and monitoring,
              indicate an excess oxygen level that does not exist at the               but are not suitable for continuous flue gas analysis.
              burner level. Thus, the adjustments to reduce excess oxygen                 In situ extractive analyzers are mounted on the heater and
              that the operator would typically make, such as throttling air           continuously measure oxygen in the flue gas and, with added
              registers, could lead to insufficient combustion oxygen at the           features, can also measure combustibles. These can be man-
              burners as well as unburned hydrocarbons and CO (carbon                  ufactured to withstand flue gas sampling temperatures up to
              monoxide) in the flue gases.                                             3000°F, although the typical standard construction is limited
                 The unburned hydrocarbons and CO may lead to a condi-                 to about 1800°F. The oxygen measurement response time is
              tion known as “afterburn.” Afterburn is the term given to                a few seconds, a speed that allows the output signal to be
              combustion that occurs near or within the convection tube                used for automatic control of the combustion air supply. The
              bank. If hot, unburned combustibles leave the burner area due            sensitivity is such that fuel composition changes can be
              to inadequate air flow through the burners, they can burn                noticed almost immediately. The modern in situ oxygen ana-
              wherever they come in contact with oxygen within the heater.             lyzer is so reliable that it typically requires instrument tech-
                                                                                       nician attention and a calibration check about once a month.
              Because the amount of air leaking into the heater is typically
                                                                                       The combustibles analyzer feature requires more frequent
              large at the convection section, this is where the afterburn is
                                                                                       attention and is not commonly added unless very low excess
              most likely to occur.
                                                                                       air operation is planned. The in situ continuous analyzer is
                 One additional consideration further improves the accuracy            mounted so as to sample the flue gas leaving the firebox, thus
              of oxygen analysis. It has been found that air that enters               providing information on the quality of combustion. The oxy-
              through casing openings tends to stay near the firebox walls             gen and combustibles contents, in percent, are based on the
              as it flows to the exit. If the flue gas is sampled further into         actual flue gas composition and therefore the instrument pro-
              the flowing stream, the gas is more representative of the                vides a “wet” analysis.
              combustion at the burners. Therefore, it is recommended to                  The justification for controlling the excess oxygen in the
              sample through a probe that extends typically 18 in. (46 cm)             heater is shown in Figure 16.6 for fuel gas and Figure 16.7
              or more from the wall into the flue gas.                                 for liquid fuel oil. The information required to determine the
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                   FIGURE 16.5 Oxygen analyzer.
                   annual savings achievable includes the heat release per burner            fully sized so that it reacts quickly without imposing an
                   or the total heat release for the heater; the operating excess            excessive pressure drop on the fuel supply to the burners. A
                   oxygen; the stack temperature; and the cost of the fuel.                  poorly sized valve may encourage operation with the valve
                      Oscillating or erroneous oxygen analyzer readings can be               bypass open, thereby reducing the effectiveness of any burner
                   caused by leaking or plugged sample lines. Liquid water                   management system.
                   condensed from the products of combustion of gases entering
                   the analyzer may result in instrument damage.                             16.2.4 Fuel Pressure
                                                                                             The pressure of the fuel, whether gas or liquid, is the major
                   16.2.3 Fuel Flow                                                          energy source used within the burner to effect the required
                   The fuel flow — or rate of heat release — is one of the most              mixing of the fuel and the air. The design burner pressure
                   important controlled variables in a process heater. Each oper-            for gas fuel will typically be 15 to 30 psig (1 to 2 barg) at
                   ator should be aware of the maximum design heat release or                the maximum design heat release with the design fuel com-
                   the maximum heat release that has been proven by successful               position as measured at the burner (see Figure 16.8). For
                   operation. As operation approaches this maximum, it is                    liquid fuels, the design burner pressure may be 100 to 150
                   important to intently monitor critical variables and be alert to          psig (6.8 to 10 barg) at design conditions. Higher fuel pres-
                   the effects of small variations.                                          sures allow a greater range of heat release, known as turn-
                      The fuel flow control valve most often acts to control the             down. Turndown is the ratio of maximum heat release to the
                   process bulk outlet temperature, modulating the rate of fuel              minimum heat release. The atomization medium pressure
                   input to maintain or change the desired temperature. Com-                 will depend on the type of oil gun used. Either a constant
                   mon valve control loops use cascade control techniques to                 atomization medium pressure of about 70 to 250 psig (5 to
                   minimize the effect of pressure and composition fluctuations              17 barg) or a pressure controlled to 15 to 30 psi (1 to 2 bar)
                   in the fuel supply system. The control valve should be care-              above the fuel pressure is typical. The pressures of both the
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              FIGURE 16.6 Cost of operating with higher excess oxygen levels (natural gas).
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 16.7 Cost of operating with higher excess oxygen levels (No. 6 oil).
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              select the pressure at which low fuel pressure causes the             to maintain the oil temperature between the fuel heater and
              burner management system to interrupt the fuel supply to the          the burners. Damaged or missing insulation should be
              burners in order to maintain safe heater operations.                  repaired or replaced. Figure 16.10 is a typical plot of fuel oil
                 To check the low fuel pressure limit, install a pressure gage      viscosity versus temperature for many types of liquid fuels.
              at one burner on the pipe between the burner and its block            The viscosity measured at two temperatures can be plotted
              valve. With the heater firing steadily under normal conditions        and the line extended to the desired viscosity to determine
              of draft and heat release, slowly throttle the valve while            the required fuel oil temperature.
              watching the flame. The pressure at which flame instability
              is initially observed is the low pressure limit. Adjust the low       16.2.6 Combustion Air Temperature
              fuel pressure alarm 1 to 1.5 psig above the low pressure limit        The burner designer sets the tile air flow area in the burner on
              and the fuel trip 0.5 to 1.0 psig above the low pressure limit.       the basis of a design air density, determined by the air supply
                 Fuel composition changes can affect the measured fuel              pressure and temperature. The higher the air temperature, the
              pressure. With gas fuels, if the density and heating value            lower the weight (moles) of oxygen in a given volume of air.
              decrease, the controls will call for a higher burner pressure         If the air temperature is significantly greater than design, the
              to pass more fuel gas and provide the required heat release.          amount of oxygen flowing through the tile decreases, and the
              If the gas fuel density and heating value increase, perhaps           desired amount of fuel cannot be burned without experienc-
              due to adding propane or butane, the controls will reduce the         ing incomplete combustion and the possibility of some oper-
              burner pressure. The energy for mixing in the burner will be          ating problems. A significantly lower than design air
              decreased and the flame appearance will likely change. A              temperature can lead to an increase in air flow and excess
              good operator will visually check the flame quality after a           oxygen, leading to a reduction in efficiency. In either case, an
              significant fuel composition or pressure change and make the          adjustment of the stack or fan dampers or the burner air regis-
              necessary adjustments that maintain adequate flame quality,           ters must be made.
              good efficiency, and good combustion.                                    Typically, the natural draft air temperature is the ambient
                 If fuel or atomization medium pressures change substan-            air temperature that varies from –30°F to 150°F (–35°C to
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              tially, the controls and the supply source should be checked,         66°C). This temperature range does not normally cause any
              along with a visual check of the flames. Atomization pressure         problem in the operation of the burners. Today many heaters
              will be controlled from the fuel pressure in those oil guns           have air preheat systems installed to reduce the amount of
              where a pressure difference is maintained.                            fuel required. The air preheat system will normally require a
                                                                                    forced-draft blower and an induced-draft blower to control
              16.2.5 Fuel Temperature                                               the combustion air and flue gas flows and pressures within
              Fuel gas temperature can be at any value below the autoigni-          the heater. The preheated air temperatures range from 300 to
              tion temperature. Typically, the fuel gas temperature is 80 to        850°F (150 to 450°C). Some processes can provide combus-
              180°F (25 to 82°C). The temperature is specified for burner           tion air temperatures as high as 1200°F (650°C).
              orifice and tip sizing, and any change that varies the density
              of the gas will affect the pressure and volume of fuel flowing        16.2.7 Flue Gas Temperatures
              at a given pressure. See Chapter 4 for correcting the fuel flow       The flue gas temperatures of primary interest are the bridge-
              for the fuel temperature changes. Normally, any changes will          wall temperature (i.e., the temperature of the flue gas leaving
              cause corrective action by the fuel control valve and a burner        the radiant section and entering the convection section) and
              pressure increase or decrease (see Section 16.2.3).                   the temperature of flue gases leaving the convection section
                 If low ambient and fuel temperatures occur together with           and entering the stack. The bridgewall temperature is indica-
              supplementing of higher molecular weight gas components,              tive of the radiant section performance and the degree of
              expect liquid condensation in the fuel line. Measurements             fouling of the radiant section tubes. The bridgewall tempera-
              have shown that as much as one-half of the heavy gases                ture will rise as fouling occurs on the radiant section tubes or
              condense under extreme conditions. If proper knockout facil-          as excess oxygen in the firebox increases. The excess oxygen
              ities are not included, the liquid can extinguish burners.            can be adjusted with the burner registers and dampers, but
                 The variation of temperature of heavier (low API gravity)          removing fouling deposits in the radiant section tubes usually
              liquid fuels is used to control the oil viscosity. Most manu-         requires heater shutdown. The stack gas temperature is a
              facturers require a viscosity of about 200 SSU (43 centi-             rough measure of the overall heater efficiency; as it rises, the
              stokes) at the atomizer. The fuel lines must be well insulated        heater efficiency decreases. A rising stack temperature is
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                   FIGURE 16.10 Viscosity vs. temperature for a range of hydrocarbons.
                   most commonly caused by high excess air, afterburning due               16.2.8 Process Tube Temperature
                   to high levels of combustibles entering the convection sec-             The process heater tube materials become weaker and less
                   tion, or convection tube fouling, which lowers heat transfer            able to withstand internal pressure as the temperature of the
                   from the stack flue gases.                                              tubes increases. To provide safe operation and satisfactory
                                                                                           tube life, avoiding process tube ruptures, the tube-wall or
                      These temperatures are commonly measured using thermo-
                                                                                           tube-skin temperatures must be limited. The basic reference
                   couples inserted in fixed thermowells. Great accuracy is not
                                                                                           for defining the allowable tube-skin temperatures is API
                   important, but observation of trends will give the best infor-
                                                                                           Standard 530.3
                   mation. This is good because the radiant, convection, and
                                                                                              Tube metal temperatures can be measured in several ways.
                   conduction heat transfer to and from a thermowell in these
                                                                                           Most general-service process heaters with alloy tubes will
                   services, combined with the typical arrangements in a heater,           have tube-skin thermocouples installed at selected locations.
                   cause readings that are many degrees lower than the actual              These will measure and usually provide a record of temper-
                   flue gas temperatures. If good accuracy is required for a test          atures of the tube external surface at the selected installation
                   run, for debottlenecking studies or heater efficiency studies,          points. The shielded style of tube-skin thermocouple has been
                   these temperatures should be measured with a suction pyro-              found to give the greatest accuracy with acceptable life.
                   meter, also known as a velocity thermocouple (see Reed,2                   Infrared thermography gives a photograph of the heater fire-
                   p. 46; see also Figure 16.11).                                          box interior where the temperature of the tubes and refractory
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              can be accurately inferred from color or contrast. This tech-          filters, the variety of contributions means that, mathemati-
              nique requires special equipment, appropriate training, firing         cally, the errors become of the same magnitude as the indi-
              with gas fuel, and fairly generous sight-port sizing. This is          cated temperature in “cooler” fireboxes, and the results are
              not practical as a continuous, or even frequent, monitoring            unreliable.
              technique. It is limited to identifying hot tube areas caused              High tube temperatures due to internal fouling can often
              by flame impingement, internal process tube fouling, or                be visually observed. A reddish or silvery spot on the tube is
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              erratic hot flue gas flow patterns. It can be used for monitoring      an indication of localized overheating.
              the progress of fouling, confirming the accuracy of tube-skin              When hot spots are identified, operation of the heater
              thermocouples, and identifying problem burners.                        should be modified to keep the tube from becoming hotter.
                 Tube temperatures in high-intensity or high-temperature             Also, tube cleanout should be considered. There are three
              heaters are generally monitored with infrared pyrometers.              generally applicable techniques for avoiding further increases
              These hand-held optical instruments are aimed at the selected          in the tube temperature. One option is to increase the process
              tube and measure the infrared energy entering the instrument.          flow in the pass containing the hot tube. The increased flow
              Using an assumed tube metal emissivity, the instrument cir-            rate increases the convection heat transfer inside the tube and
              cuits electronically convert the incident energy to an indicated       removes heat from the tube wall more rapidly. This should
              metal temperature. The heaters commonly monitored in this              be undertaken with knowledge of the impact on the other
              way are those in high-temperature pyrolysis (e.g., ethylene            passes, where flow is reduced. The temperatures of tubes in
              production) and steam-hydrocarbon reforming (e.g., ammonia             these passes can be expected to rise and must therefore be
              and hydrogen production) services.                                     carefully observed.
                 The infrared pyrometer can accurately measure, within                   The second option is to reduce the radiating effectiveness
              50°F (28°C), high tube temperatures over the entire visible            of the hot gases in the radiant zone by increasing the excess
              length of the tube. This is typically done twice a shift, or six       air. The radiating capability of the hot gases is inversely pro-
              times a day. The infrared pyrometer is not restricted to mon-          portional to the concentration of symmetrical molecules, such
              itoring point locations as are tube-skin thermocouples, and            as oxygen and nitrogen. As the concentration of these
              measurements can be easily taken by a trained operator. The            increases, the energy radiated from the gases to the radiant
              use of the infrared pyrometer is limited to high-temperature           tubes decreases. Because hot spots usually occur in the radiant
              services because of instrument construction. The infrared              zone or firebox, this can be an effective action, particularly if
              energy entering the instrument comes not only from the tube,           firing gas fuel. The impact of this action on the remainder of
              but also from the refractory, adjacent tubes, and hot gases.           the heater is an increase in the amount and temperature of the
              While most of the hot gas contribution can be removed by               flue gases entering the convection section. The convection
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                                                                  section temperatures and heat absorption will rise. Duty has               in the pass heat absorption, the outlet temperature will rise.
                                                                  been shifted from the radiant section to the convection section.           Conversely, if the flow is increased, the outlet temperature
                                                                     The second option will be of limited effectiveness if the               will drop. If a change in pass outlet temperature occurs with-
                                                                  heat transfer to the hot spot is largely radiation from a flame.           out a corresponding and appropriate change in the indicated
                                                                  In such a case, the most effective action is to reduce or                  pass flow, the operator should immediately investigate. An
                                                                  eliminate the heat input from that flame by throttling or clos-            instrument problem is likely, and a flow interruption or reduc-
                                                                  ing the burner valve. This action should be reported to man-               tion, with potential tube overheating, is possible.
                                                                  agement because it has the effect of possibly shifting the hot
                                                                  spot to another location. Section 16.3.1.7 discusses the prob-
                                                                  lems and limitations involved in throttling burner valves.                 16.3           THE HEATER AND
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                            APPURTENANCES
                                                                  16.2.9 Process Fluid Parameters                                            The typical heater consists of two major process sections: the
                                                                  The process fluid flow rate, pressure drop, and outlet temper-             radiant section and the convection section. The radiant section,
                                                                  ature are measured with conventional instruments. The flow                 also called the firebox, includes the burners and air plenum(s),
                                                                  rate through each individual pass is monitored in the majority             tubes containing the process fluid, supports for the tubes, and
                                                                  of heaters. In some cases, the overall flow is measured and                refractory. The major mode of heat transfer to the tubes is radi-
                                                                  the flow to individual passes is governed by restriction ori-              ation, although some convection heat transfer also occurs. The
                                                                  fices. In other designs, where the addition of measuring ele-              convection section contains the shock (or shield) tubes, con-
                                                                  ments and control valves would impose an uneconomical                      vection tubes, refractory, and tube supports and hangars. The
                                                                  pressure drop, careful distribution manifold design equalizes              major mode of heat transfer is convection, although radiation
                                                                  pass flows as much as possible.                                            also occurs. The radiant and convection sections are enclosed
                                                                     The flow of the process fluid acts to cool the tubes and                by steel casing and structural members that support the refrac-
                                                                  maintain an acceptable metal temperature. A reduction in                   tory, anchor the tube supports, and structurally support the
                                                                  flow will lead to a rise in the tube-skin temperature and,                 tubes and stack(s). The casing, the structure steel supports,
                                                                  often, a phase change or chemical degradation in the fluid.                refractory, along with header boxes, ducts, burner tile, and
                                                                  An unexpected formation of vapor in a normally liquid-filled               stack(s), are collectively known as the heater setting. Other
                                                                  tube pass will increase the pressure drop and cause further                appurtenances may include an air preheater, a forced- and/or
                                                                  reduction in flow and cooling capability with further increase             induced-draft fan, instruments, and necessary fuel and process
                                                                  in tube temperature.                                                       piping and valves, along with safety features such as smother-
                                                                     Chemical degradation of hydrocarbons typically generates                ing or purge steam connections.
                                                                  some solids and some vapor. This may devalue a product, as                    This section describes the components, reviews their
                                                                  when the overheating discolors a lubricating oil component.                proper operation or condition, discusses any visual clues,
                                                                  More frequently, it will cause formation of a solid layer of               and suggests corrective actions to identified problems.
                                                                  material, referred to as coke, on the tube internal surface. This          Burner problems and corrective actions are discussed in
                                                                  layer impedes the conduction of heat from the tube to the                  detail in Chapter 17.
                                                                  fluid, and the tube temperature must increase to maintain the
                                                                  amount of heat absorbed by the fluid. The pressure drop in                 16.3.1 Burner
                                                                  the pass may increase measurably. Ultimately, the tube metal               The burner is the mechanical device that mixes the fuel and
                                                                  temperature rises to a level where corrective action is needed,            air, initiates combustion, shapes the flame, and releases the
                                                                  usually a cleaning of some type, before the tube fails.                    heat required by the process. There are many different fuel
                                                                     Both of the above effects can be largely avoided if the flow            gas burners installed in heaters. These burners are all of two
                                                                  rate of the process fluid is kept near the design rate. The pass           basic types: the premix burner and the raw gas or diffusion
                                                                  flows should be nearly equal and not vary by more than 10%                 burner, both described in Chapter 11. The common oil burner
                                                                  when the heater is firing at greater than 75% of the rated heat            is a variant of the diffusion burner type, in which the combus-
                                                                  release. At lower heat releases, the heat flux is unlikely to              tion is heterogeneous (fuel and air phases differ) rather than
                                                                  cause the problems mentioned above.                                        homogeneous (fuel and air phases are the same). The Lo
                                                                     Thermocouples are often installed in the outlets of each                NOx burner can be either a premix or a raw gas (diffusion)
                                                                  pass. These can be used to check the pass flow controls and                burner. Each type of burner may differ in the way it adjusts
                                                                  indicators. If the flow in a pass is reduced, without a change             combustion air flow to the burner and in the flame pattern
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                                                                                   configuration, it may consist of two metal cylinders with
                                                                                   equal openings cut in each. As in Figure 16.12, one cylinder
                                                                                   rotates and the other cylinder is stationary. As the free cylin-
                                                                                   der is rotated, the area for air to flow into the burner changes,
              FIGURE 16.12 Air control device schematic.                           causing variation in the air flow across the burner. The air
                                                                                   control device can also be a damper located in the burner air
                                                                                   inlet path (see Figure 16.13). Either the register or damper,
                                                                                   whichever is applied, is also used to block air flow to the
                                                                                   burner, for example, when the fuel flow is stopped and the
                                                                                   operator wants to stop the air flow. Good operating practice
                                                                                   calls for closing the air register or damper of any burner that
                                                                                   is out of service. This forces all air entering the heater at the
                                                                                   burner level to contact fuel in the active burners and improves
                                                                                   the mixing energy, thereby improving the heater efficiency or
                                                                                   fuel utilization.
                                                                                      Other types and combinations of registers are also applied.
                                                                                   Some forced-draft burners will have a fixed air register whose
                                                                                   function is to swirl the incoming air to the burner. In this
                                                                                   application, the air flow will be varied by modulation of a fan
                                                                                   damper or the fan speed.
                   appropriate primary air door adjustment will position the                  the burner, separated by a restriction orifice. The velocity
                   flame on the burner tip to the ideal position. If the flame is             through the orifice must be maintained above a minimum value
                   more than 1.5 in. (3.9 cm) from the burner tip, the gas/air                or combustion can travel into the premix chamber, potentially
                   mixture velocity leaving the tip holes is too high, and the                causing damage. The operating parameters of a forced-draft
                   flame is at risk of lifting off the burner and extinguishing (see          premix burner are specific to the burner, and the burner man-
                   Section 17.8 for corrective action). The flame liftoff from the            ufacturer should provide complete operating guidance.
                   gas tip and the flame extinguishing indicate flame instability.
                   It is evident that the gas/air mixture volume and the flame                16.3.1.3 Diffusion or Raw Gas Burner
                   speed are balanced in a properly operating burner, and that                The conventional natural-draft diffusion or raw gas burner has
                   this balance is affected by the primary air door adjustment.               one air register or damper controlling the air flow across the
                      The secondary air register is positioned open or closed to              burner. Because there is no primary register or air door, air flow
                   adjust the excess air, as monitored by an oxygen analyzer,                 control on the diffusion gas burner is with a secondary air regis-
                   to meet the targeted excess oxygen. If the secondary air                   ter or damper which is opened or closed to meet the excess oxy-
                   register is fully closed, any control of excess air occurs via             gen target, depending on the oxygen analyzer reading.
                   the primary air door. Both the primary air door and secondary                 Raw gas burners are preferred over premix burners for wide
                   air registers must be in good working order to operate the                 variations in fuel gas compositions and for high burner turn-
                   heater efficiently.                                                        down requirements in forced/balanced-draft systems. Typi-
                      A good natural-draft premix burner produces a very compact              cally in these systems, the forced-draft fan damper or motor
                   and short flame as compared to a raw gas or diffusion flame                speed control is used to adjust the heater excess oxygen
                   burner. Natural-draft premix burners operate best with a fuel              toward the target. The individual burner registers/dampers are
                   gas of constant composition or specific gravity. These burners             adjusted to balance the air flow equally to all active burners.
                   can be designed to handle gases of up to 90% (by volume)                   The goal is to equalize the air flow within 10 to 15% between
                   hydrogen content. The normal turndown of a premix burner is                active burners to ensure equal heat release from each burner
                   3 or 4:1.                                                                  and even heat distribution within the firebox and between tube
                      Forced-draft premix burners also mix the fuel and air before            passes. The forced-draft fan dampers and the burner regis-
                   the mixture enters the combustion chamber. In this case, the               ters/dampers must be in good working order and easily oper-
                   premix chamber and the combustion chamber are both part of                 able over their full range to operate the heater efficiently.
                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   16.3.1.5 Pilot Burners                                                     burner manufacturer can obtain a predictable flame pattern
                   Pilot burners are premix gas burners. Pilots may or may not                from the burner. The fuel tip drill patterns can be varied
                   be installed on a burner, depending on the requirements of the             based on testing and experience to obtain short, bushy flames
                   operator. When pilots are required, they are part of the burner            or long, narrow flames depending on the requirements of the
                   assembly. The pilot may use the same air supply as the main                process heater (see Table 16.2 for typical flame patterns
                   burner, or it may be located outside the main burner air                   expected).
                   source to ensure stable operations.                                           The burner tile shape and condition are critical to obtaining
                      The primary function of the pilot is to provide a small source          the desired flame shape. Round tile shapes provide round
                   of heat input for the ignition of the main burner fuel. The pilot          flame patterns; rectangular tile shapes provide flat flame pat-
                   may be shut off after lighting the main burner, or may continue            terns. Missing tile, or poorly maintained tile with holes and
                   to operate after the main burner is lit. The pilot must have a             cracks, can cause a poor flame pattern. Substitution of tiles
                   stable flame and be located in the correct position near the               with ones of a different design can restrict air flow, result in
                   main burner fuel discharge for ignition of the main fuel.                  poor fuel/air mixing, or cause flame instability because a tile
                                                                                              ledge or other feature is missing or incorrectly located.
                   16.3.1.6 Flame Patterns                                                       The flame patterns and dimensions and the impact of dif-
                   The flame pattern from a burner is developed jointly by the                ferent tip drillings are determined by the burner manufacturer
                   heater designer and the burner manufacturer. The burner                    and can be confirmed by performance testing at the manu-
                   manufacturer selects the gas or oil tip drilling pattern, the              facturer’s test facilities. Today, multi-burner testing is avail-
                   type of diffuser (if applied), and the tile shape to achieve the           able at some burner manufacturers to determine the effect of
                   desired flame. See Figures 16.16 and 16.17 for different gas               the interaction between burners and the flue gas circulation
                   and oil tip drillings. Figure 16.18 shows how variation in gas             within the firebox on the flame patterns. It should be noted
                   tip drilling pattern can create short and bushy or long and                that the flame dimensions observed in a single burner test,
                   narrow flames. Oil tip drillings can be tailored to produce                particularly a diffusion flame burner, will rarely be observed
                   similar flames. There are many different types and shapes of               in a multi-burner firebox. Variation of the fuel and air flow
                   fuel tips. Each fuel tip is drilled with a given pattern to meter          between burners, flame interactions, flue gas circulation cur-
                   the fuel and to inject the fuel into the combustion air. With              rents, and air leakage all act to vary the flame pattern between
                   the tile shape, diffuser, and the fuel tip drilling pattern, the           burners.
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                 The flame patterns within the heater should be visually          Flame patterns are designed to stay within an envelope that
              inspected as often as necessary, and any change in shape or      is a safe distance from the process tubes and the refractory.
              dimensions of an individual flame should be noted. The           Figure 16.19 shows a typical flame envelope, X-Y-Z, inside
              flames from all active burners of the same size should be        a cabin heater. API 560 cites some standards and recommen-
              uniform because they all have the same heat release, the         dations as to burner-to-tube and burner-to-refractory. Some
              same air flow across the burner, and the same fuel flow at       users apply greater clearances between burners and between
              each burner. Table 16.1 can be used to estimate flame            burners and tubes than the API 560 recommendations. The
              dimensions in order to evaluate observed flame patterns to       burners installed on existing heaters many years ago may not
              determine if the flame patterns are typical and what is          comply with current API 560 recommendations. If installation
              expected by the burner manufacturer.                             of burners into an old heater are to comply with API 560, the
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                                                    300°                          0.0044
                                                    400°                          0.0056
                                                    500°                          0.0066
                                                    600°                          0.0074
                                                    700°                          0.0080
                                                    800°                          0.0086
                                                    900°                          0.0090
                                                   1000°                          0.0094
                                                   1100°                          0.0097
                                                   1200°                          0.0100
                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                   tion, the total fuel input does not change. The fuel pressure
                                                                                   and input on the other active burners increase and tube-wall
                                                                                   temperatures rise in response. The new locations of high tube-
                                                                                   wall temperature likely are not at one of the few thermo-
                                                                                   couples, and tube overheating goes undetected until failure or
              FIGURE 16.22 Example of a very bad flame pattern in                  severe fouling occurs. The operator should adhere to the best
              a firebox.                                                           practice of leaving the burner valves fully open or fully closed,
                                                                                   and should react to the alarm in other ways to cool the tube.
                                                                                      If block valves on burners are partially closed, the fuel
              heaters is to keep these valves fully open or fully closed and       pressure on the burners varies, depending on valve positions.
              never to throttle the amount of fuel to the burner. The fuel to      If the heater controls reduce the fuel flow, one or more burners
              the burners should be regulated with the main fuel control           may experience a fuel pressure below the stable limit and
              valve. The fuel (and atomizing medium) block valve is used           may extinguish. The low pressure alarm and trip instruments
              to stop fuel flow to a burner taken out of service in order to       on the burner fuel manifold will not sense the same low
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pressure as at the burner(s) and will not protect the heater as to sulfur trioxide, which then combines with water vapor and
                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   expected with the burner management control system.                         condenses, at normal casing temperatures, to form dilute sul-
                      The burner block valves on high-temperature heaters, with                furic acid. This sulfuric acid condensation and potential cor-
                   1800 to 2200°F fireboxes, such as in pyrolysis and reforming                rosion can best be reduced by coating the steel casing internal
                   services, are often operated differently. These heaters may                 surfaces with an acid-resistant barrier suitable for the expo-
                   have many small wall-mounted burners heating vertical tubes                 sure temperature, by raising the casing temperature with
                   located between the burner walls and operate with tube metal                external insulation, or by using a monolithic castable refrac-
                   temperatures near the metal strength limit. When a high tube                tory lining. Operation to minimize excess oxygen will reduce
                   temperature is identified, it is common and accepted practice               sulfur trioxide formation and acid corrosion.
                   to reduce the fuel to the burner opposite the hot spot by                      Sight doors, mounted on the casing, provide visual access
                   throttling the burner valve. Tube temperatures are monitored                to the firebox interior. The operator can monitor the burner
                   over the full length with a pyrometer; thus, the effect of                  flames, the temperature and condition of tubes, and the tem-
                   throttling a burner can be identified quickly and reliably. Also,           perature and condition of the refractory. The sight port doors
                   the burners are numerous and small; throttling a few has little             should ideally be sized and located so that all burners and the
                   impact on the heat distribution. If the heater controls modulate            full length of all radiant section tubes can be observed. If the
                   the fuel such that fuel pressure at a throttled burner drops                sight doors are not adequate to fully observe the inside of the
                   below the stability limit of a single burner, flameout may                  firebox, additional sight doors should be added to ensure good
                   occur. The amount of unburned fuel entering the firebox is                  visual observations inside the heater.
                   small and ignites and burns because of the elevated firebox
                                                                                                  Before opening a sight door, the draft at the door elevation
                   temperature. Thus, the combination of small heat release,
                                                                                               should be checked to ensure a negative pressure. A rag should
                   many burners, tube temperature monitoring over the full
                                                                                               be held at the door to confirm the flow of air into the heater.
                   length of all radiant tubes, and high firebox temperature
                                                                                               Hot gas exiting through a sight door, under positive firebox
                   (well above the fuel gas autoignition temperature) leads to a
                                                                                               pressure, will blow the rag outward and can injure the unpro-
                   safe practice and no equipment endangerment.
                                                                                               tected observer. Proper protective gear should be worn when
                                                                                               opening sight doors for inspecting heaters.
                   16.3.1.8 Casing and Refractory
                   Modern heaters have a steel plate casing supported by struc-                   The refractory protects the steel casing from the heat of the
                   tural steel columns, often called buckstays. The steel, in turn,            combustion process and provides insulation to reduce the heat
                   supports the internal refractory, the tubes, the access plat-               loss to the ambient air. The types of refractory used to line the
                   forms, and in many designs the convection section and stack.                casing steel include ceramic fiber, monolithic castable, brick,
                   Some heaters may have a separate structure for the convec-                  and plastic (a moldable form of brick). All have service tem-
                   tion section and stack.                                                     perature limits that must be observed in the selection of the
                      The casing is normally not designed for airtight construc-               proper lining for the heater. The refractory manufacturers pro-
                   tion. There are typically open seams, sight doors, openings                 vide recommended maximum exposure temperatures for each
                   for tubes and manifolds, and doors for maintenance access in                material; if this temperature is exceeded, the refractory under-
                   addition to the burner openings. Because the heater operates                goes a phase change and weakens. API Standard 560 provides
                   under a slight negative pressure, air will leak into the heater             guidance in refractory design and selection, including service
                   through all openings. It is desirable, for best operating effi-             temperature recommendations.
                   ciency and proper burner operation, to have all air enter the                  The refractory is held in place by (usually metallic) refrac-
                   heater through the burners. Therefore, all doors should be                  tory anchors of various designs. The anchor design, spacing,
                   kept tightly closed during operation and other openings                     and attachment are critical to obtaining a satisfactory refrac-
                   should be minimized, or sealed, as much as possible.                        tory installation and service life. Most refractory failures can
                      Unwanted openings capable of leaking air into the heater                 ultimately be traced to anchor failure. These failures are due
                   can be located by smoke testing using smoke generators                      to anchors overheating, corrosion, or inadequate anchor spac-
                   (or smoke bombs), usually placed inside the idle firebox.                   ing (too far apart) to adequately hold the refractory.
                   Cracks and seams thus identified are most successfully sealed                  Refractory failure may first be evident by debris on the
                   with commonly available silicone caulk. One should repair                   heater floor. With severe refractory failure, hot areas and
                   openings due to warped or displaced plates.                                 discolored paint on the outside of the casing may be observed.
                      If the fuel being burned in the heater contains sulfur, the              If this occurs, the casing can be cooled with a low-pressure
                   casing is subject to acid corrosion. The sulfur partially converts          steam spray or water flood until repairs can be completed.
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                 When viewing the firebox refractory, color can be an                  leaking into a furnace significantly reduces the operating cost
              indication of even heat distribution within the firebox.                 of a plant.
              Refractory color can also be a very rough measure of the                    Remember that the burners require a draft loss or pressure
              refractory temperature. Dark streaks on the refractory pro-              drop to force combustion air through the tile and registers.
              vide evidence of air leaking into the firebox and cooling the            The available draft decreases with height — that available at
              refractory.                                                              the floor of the firebox will be greater than that at the roof.
                                                                                       This is shown in the typical static draft profile (Figure 16.23).
                                                                                       Thus, burners at or near the floor will usually have ample
              16.4  FURTHER OPERATIONAL                                                draft available to exceed the required draft loss; but for burn-
                    CONSIDERATIONS                                                     ers located high on the walls or on the roof, there may not
                                                                                       be enough draft. In such a case, the draft target should be set
                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              16.4.1 Target Draft Level
                                                                                       to satisfy the highest level burners at the design heat release,
              A target draft is established at the point of highest flue gas
                                                                                       plus a small margin for ambient temperature, fuel composi-
              pressure within the heater. The target value is selected to min-
                                                                                       tion, and operational changes.
              imize air leaking into the heater and to provide adequate dif-
              ferential pressure or draft loss at the burner level for                    The consequence of too much draft in the firebox is exces-
              necessary air flow across all burners. The typical fired heater          sive air leaking into the heater and a lower heater efficiency.
              data sheet defines the draft at the arch, or radiant zone roof,          The additional air adds to the flue gases and increases the
              of 0.1 in. (2.5 mm) of water. This is not a design limit, it is          draft loss across the convection section and stack. Too little
              the reference value from which draft losses are calculated and           draft can restrict the air flow through burners, sometimes
              flue gas passages sized by the heater designer. This is also the         enough to cause flames to exceed the designed flame envelope
              location at which the operator normally monitors and con-                (flame impingement), flame instability, and the formation of
              trols the heater draft performance. Each heater should have              carbon monoxide. If the firebox pressure becomes positive at
              facilities to monitor the draft available at the arch or at the          the arch, hot gases will flow out through openings, potentially
              location where the draft (or negative pressure) within the               damaging the casing, weakening refractory anchors, creating
              heater is at a minimum.                                                  unsafe conditions, and restricting heat release.
                 Good efficient operation minimizes air leaking into the                  The draft is controlled by modulating the flow of flue gas
              heater through paths other than the burners. Minimizing the              out of the firebox, usually via the stack and stack damper.
              arch level draft minimizes the differential pressure between the         The mechanism of control is stack damper positioning or
              outside air and the flue gases within the heater. This minimizes         variation of an induced-draft fan speed (or fan inlet damper
              the driving force pushing air through the openings that may              position). The dampers are typically single- or multiple par-
              allow air to enter the heater. Air leaking into the heater is an         allel blade designs. The draft is measured with a liquid
              important consideration when setting a draft target. The higher          inclined manometer (see Figure 16.2), a dial gauge, or a
              the draft, the more air leaks into the heater. The lower the draft,      transmitter instrument.
              the less air leaks into the heater. The cost for air leaking into           The draft target selected will be a function of how the draft
              the heater can be seen by the following example:                         is controlled. If the draft is controlled automatically, using a
                                                                                       draft transmitter and a pneumatic or electric operator attached
              16.4.1.1 Example                                                         to the damper shaft, a lower draft target (e.g., 0.05 in.
              What does air leakage cost at a draft of 0.5 in. (1.3 cm) of             [1.25 mm] or less of water column) is practical. If the draft is
              water and a stack temperature of 750°F (400°C)? Assume                   controlled manually using a manometer, a higher draft target
              that one 4-in. (10 cm) by 6-in. (15 cm) peep door is left open.          (e.g., 0.1 in. [2.3 mm] of water column) may be required. Even
              How much air would leak into the heater? Figure 16.16 indi-              further reduction in draft target can be achieved if additional
              cates that at 0.5 in. (1.3 cm) of water, the airflow is 170,000          information is provided to the automatic controller. Such infor-
              ft3/hr-ft2. If the fuel being burned is methane, the LHV is 910          mation may include oxygen trim, setting a minimum value of
              Btu/scf. Using the following formula:                                    excess air in the firebox, process inlet flow and temperature
                                                                                       to anticipate changes in firing rate, and even ambient air tem-
                                                          Q = wc p ∆t     (16.1)       perature if large and relatively sudden swings are expected.
                                                                                       Inputs such as these allow the damper to anticipate the move-
              and a fuel cost of $3.50/106 Btu, the cost of additional fuel is         ments that will be required to hold the target draft and will
              approximately $12,000 per year. Hence, reducing the air                  stabilize the burner operation.
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                   16.4.2 Target Excess Air Level                                                      on all out-of-service burners. Equalize the air flow to all active
                   It is not possible to recommend a single target excess air level                    burners by adjusting all registers to the same opening. Check
                   for all fired heaters. The condition of the heater, the type and                    the oxygen and carbon monoxide levels of the flue gas and
                   composition of the fuel fired, the level and variability of pro-                    ensure that the draft available at the firebox roof is on target.
                   cess operation, and the ambient conditions all affect the                              Next, slightly close the air registers equally on the active
                   achievable target.                                                                  burners or the common plenum air supply damper. The draft
                       The target excess air level can be established by following                     will probably increase above the target because the incoming
                   a structured procedure. The recommended procedure for                               air and the flue gas amounts are lowered, reducing the friction
                   establishing excess air level targets for a natural-draft heater                    losses in flow through the heater. Measure the excess oxygen
                   is given below. The procedures for forced- or balanced-draft                        and carbon monoxide in the flue gas. Observe the flame
                   heaters are similar. Essentially, the procedure is that which is                    condition and monitor the other instruments for satisfactory
                   used to adjust a heater to the maximum possible combustion                          operation with no approaching limits. Adjust the draft to the
                   efficiency, or to optimize the heater performance. The impor-                       target value with the stack damper.
                   tant instruments required to be in good working order and                              Continue to close the burner air registers or plenum damp-
                   proper calibration include the fuel flow meter, the process                         ers in slight increments while holding the targeted draft level
                   outlet temperature indicator or recorder, the draft gauge or                        with stack damper adjustments. Measure the excess oxygen
                   controller, the flue gas oxygen analyzer, and the carbon mon-                       and carbon monoxide levels in the flue gases leaving the
                   oxide analyzer. The analyzers must be located so as to sample                       firebox after each burner air register or plenum damper
                   the flue gases leaving the radiant section.                                         adjustment. The minimum practical excess oxygen level for
                       Begin the procedure with all possible burners in service and                    the heater at the current firing conditions and with the cur-
                   firing equally on one fuel, satisfactory flame appearance, cor-                     rent fuel composition is reached when the draft reading is
                   rect fuel temperature and pressure, steady process operation,                       on target and any stack damper adjustment or burner air
                   and all potential limits (such as tube metal temperature, etc.)                     register adjustment (or plenum damper) closure causes the
                   monitored and recorded. Close the air registers (or dampers)
                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                       carbon monoxide in the firebox to exceed 100 ppm. At this
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              point, there is insufficient air available to burn any additional                                                    With the target draft and the target excess oxygen estab-
              input of the current fuel. Any further increase in fuel will                                                      lished, the operator is now ready to make any adjustments
              increase the carbon monoxide level and cause the firebox                                                          needed to keep the heater operating as efficiently as possible.
              to become “flooded,” or “fuel rich.” The minimum excess                                                           The flowcharts in Figures 16.24 (natural draft) and 16.25
              oxygen level is achieved.                                                                                         (forced draft) will guide the operator through the necessary
                If the operator or engineer has many years of experience                                                        adjustments on the heater to achieve set targets on a continual
              in combustion and there is no carbon monoxide analyzer                                                            operating basis. For example, the operator can control the
              available, the minimum practical excess oxygen level can be                                                       preset targets as follows.
              determined by closing the burner air registers (or plenum                                                            The target draft has been determined to be –0.05 in. of
              dampers) and keeping the draft on target with the stack                                                           water from the previous discussion. The target excess oxygen
              damper. When the firebox becomes flooded or fuel rich, the                                                        has been determined to be 3.0%. In a natural-draft heater, the
              experienced engineer or operator will observe no increase and                                                     stack damper and the burner air register are adjusted to control
              probably a decrease in process outlet temperature when the                                                        the oxygen and the draft. In a forced-induced draft system,
              fuel flow increases.                                                                                              the forced-draft damper on the inlet to the forced-draft blower
                 The targeted excess oxygen level for continuous operations                                                     and the induced-draft damper on the induced-draft blower are
              should be set at 1 to 2% greater than the minimum practical                                                       used to adjust the excess oxygen and draft. See Figures 16.24
              level determined above for natural-draft heaters, and 0.5 to 1%                                                   and 16.25 for the logic diagram for tuning natural-draft and
              greater for forced-draft operations. The higher targeted excess                                                   a balanced-draft heaters, respectively.
              oxygen level allows for variations in the fuel composition,                                                          For this example, the operator begins in the “START ”
              variation in ambient air conditions, and variations in firing                                                     box of Figure 16.24. The pressure (draft) is measured on
              rates for the heater. Highly sophisticated heater instrumenta-                                                    the heater at –0.14 in. (–3.6 mm) of water. The pressure is
              tion and control systems can safely allow lower excess oxygen
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                below the target of –0.05 in. of water, and the logic box
              levels than would be suitable for simple automatic or manual                                                      indicates “HIGH.” The excess oxygen is measured on the
              systems. The target excess oxygen level should provide safe                                                       heater at 5%. The chart indicates that if the excess oxygen
              and steady heater operations with good flame patterns (no                                                         is also above the target of 3%, then the excess oxygen is in
              flame impingement), good flame stability, and tube-skin and                                                       the “HIGH” box. The flowchart indicates that the corrective
              firebox temperatures within the limits set by the operator for                                                    action required is to close the stack damper on the heater.
              the heater. If heat input requirements or fuel composition                                                        When the stack damper is closed, the pressure within the
              changes are significant, then the carbon monoxide should be                                                       heater goes from –0.14 to –0.05 in. (–3.6 to –1.3 mm) of
              monitored. If the carbon monoxide is observed to exceed the                                                       water. The logic chart indicates a return to “START.” The
              100-ppm limit, then the minimum practical excess oxygen                                                           draft (pressure) is now on target, so go to box “ON TAR-
              level should be reestablished for the current conditions. Tables                                                  GET.” The excess oxygen measured in the field is 3.9%.
              16.3 and 16.4 indicate typical excess air volumes that should                                                     The excess oxygen is still above the target of 3%. The
              be achieved with this procedure.                                                                                  operator goes to the “HIGH” box.The corrective action indi-
                                                                                                                                cated is to close the air register or damper on the burner
                                                                          TABLE 16.3 Typical Excess Air Values for              and return to “START.”
                                                                          Gas Burners
                                                                          Type of Furnace                   Burner System
                                                                                                                                   The draft is measured again and determined to be
                                                                                                                                –0.07 in. (–1.8 mm) of water, above the target again. The
                                                                          Natural draft                         10–15%
                                                                          Forced draft                           5–10%
                                                                                                                                logic chart indicates to check the excess oxygen. The new
                                                                                                                                excess oxygen reading is 3.2%. The logic chart indicates to
                                                                                                                                close the damper again and return to “START.” Return to
                                                                          TABLE 16.4 Typical Excess Air Values for
                                                                                                                                “START ” and measure the draft again. The new draft read-
                                                                          Liquid Fuel Firing
                                                                                                                                ing is 0.5 in. (13 mm) of water. The draft is on target; thus,
                                                                           Operation              Fuel          Excess Air
                                                                                                                                the logic chart indicates to measure the excess oxygen again.
                                                                          Natural draft     Naphtha              10–15%         The excess oxygen reads 3.0% and is therefore on target.
                                                                                            Heavy fuel oil       15–20%
                                                                                            Residual fuel oil    15–20%         The logic chart indicates “Good Operations.” The tuning of
                                                                          Forced draft      Naphtha              10–15%         the natural-draft heater has been completed. How many of
                                                                                            Heavy fuel oil       10–15%         dollars were saved? The charts in Figures 16.6 or 16.7 can
                                                                                            Residual fuel oil    10–20%
                                                                                                                                be used to determine the savings. The forced-draft heater
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                   diagram shown in Figure 16.25 is used to make adjustments              temperature of the tubes. The effect is to increase the amount
                   on a balanced-draft heater.                                            of flue gas and the bridgewall temperature, increasing the
                     While the operator should be encouraged to operate to                amount and temperature of gas flowing to the convection
                   the excess oxygen target as determined above, there may be             section. Duty is shifted from the radiant to the convection
                   conditions where it is desirable to operate with excess oxy-           section. Similarly, for heaters where waste heat steam gen-
                   gen well above the target. One is mentioned in Chapter                 eration occurs in the convection section, trouble with the
                   16.2.8 in conjunction with mitigating high tube-skin tem-              plant steam boilers may make it desirable to generate more
                   perature. Here, increasing the excess oxygen reduced the               steam in the waste heat generation coils. Increasing the
                   radiating effectiveness of the firebox gases, lowered the              excess oxygen (excess air) above the target value will
                                                                                                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   radiation to the radiant tubes, and lowered the heat flux and          increase convection section duty and generate more steam.
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              16.4.3 Heater Turndown Operation                                      sure well above any low-pressure trip limits. Flames will be
                                                                                    kept stable and within the normal flame shape and envelope.
              During normal or design-level heater operation, the operator             Burners are turned off in a pattern that maintains an even
              strives for even heat distribution in the firebox by equalizing       heat release throughout the firebox. The heater designer
              the air and fuel to all burners while maintaining good, stable        arranges burners so that each radiant tube pass “faces” the
              flames. The same goals apply to turndown operation. When              same number of burners. It is wise to maintain this practice
              operating at reduced heat-release levels, the operator will           when reducing the number of active burners. This helps to
              remove burners from service in a selected pattern, closing air        ensure that each pass receives the same amount of heat and
              registers and fuel valves, so as to maintain adequate fuel pres-      avoids having to overly bias pass flow rates to equalize outlet
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                   temperatures. If the heater configuration allows (usually                 the convection section should be increasing, depending on
                   vertical tubes) and if tube metal temperatures are nearing                how much nesting of tubes is taking place. The afterburning
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   upper limits, the best burners to deactivate are usually those            may severely oxidize the extended surface (fins or studs) on
                   opposite the hottest outlet tubes in each pass.                           the convection tubes such that heat transfer capability is lost,
                      In natural-draft heaters with diffusion flame burners, the             or may cause tube overheating leading to fouling or failure.
                   excess oxygen can be held nearly constant with air register               The stack temperature with afterburning in the convection
                   or damper adjustments from 100% capacity to approximately                 section should be increasing significantly above the design
                   75% capacity. Then the excess oxygen level begins to increase             temperature. Check the excess oxygen, the carbon monoxide
                   as the heater (burner) heat release is further reduced. Forced-           level, the process outlet temperature, and the fuel flow.
                   draft burners, with high kinetic energy in the air stream, are               The operator should reduce the fuel input when high carbon
                   usually capable of maintaining the excess air level down to               monoxide levels are indicated or afterburning is known to occur
                   50%, or even lower, of the design heat release.                           in the convection section until an excess of oxygen is attained.
                      In natural-draft heaters with premix burners, the excess               Then, opening the stack damper or burner air registers (or damp-
                   oxygen will follow the fuel gas pressure as the heater duty is            ers) should further increase the excess oxygen. Now increase
                   reduced. The excess oxygen will remain the same from 100%                 the fuel flow rate to satisfy the process heat input requirements.
                   duty to 25% of duty on a 100% premix burner, and 100% to                  Do not increase excess air without first reducing the fuel
                   50% of duty on a 50% premix and 50% secondary air burner.                 flow to the point where an excess of oxygen is observed.
                   The mixing of the fuel and air is affected mainly by the
                   primary air mixer efficiency.                                             16.4.4.2 Flame Stability
                                                                                             In observing the flame patterns inside the firebox, the flame
                                                                                             stability should be noted. An unstable flame front will be oscil-
                   16.4.4 Inspection and Observations
                                                                                             lating on the burner tip as the fuel is mixed with the air. The
                          Inside the Heater                                                  flame front should always be very near the ignition ledge, dif-
                   Much of successful heater operation depends on frequent and               fuser, or fuel tip. If the flame front is detached from the igni-
                   knowledgeable visual checks of the equipment. In most                     tion ledge, diffuser, or fuel tip, as in Figure 16.26, the flame is
                   applications, visual surveillance of the heater as often as nec-          unstable and may be on the verge of being extinguished. When
                   essary to ensure safe and optimum operations is considered                the flame is extinguished and fuel is injected into the heater
                   good practice. Visual observations should also be made after              and mixes with the air with no flame, an unsafe and potentially
                   significant load changes, atmospheric disturbances, fuel gas              explosive condition exists within the heater.
                   composition changes, and utility system upsets. A checklist
                   of what to observe should be developed for each heater. The               16.4.4.3 Process Tubes
                   visual inspection of a heater should include the inside of the            The process tubes should be periodically checked visually for
                   heater, the outside of the heater, and observation of the per-            evidence of localized hot spots, tube displacement, and pro-
                   formance data of the heater.                                              cess leaks. Tube hot spots may appear as red or silver spots
                                                                                             and indicate temperatures approaching or exceeding the
                   16.4.4.1 Flame Pattern                                                    mechanical limit of the tube material. The immediate cause
                   A check into the firebox should show even flame patterns and              of the hot spot is usually a fouling deposit on the internal tube
                   good stability on all active burners. The size, color, and shape          wall. This deposit may be the result of flame impingement,
                   of the flames should be the same because all active burners               over-firing, uneven distribution of active burners, or concen-
                   have the same fuel pressure (heat release) and draft (combus-             trated heat input from flue gas circulation currents. Hot spots
                   tion air flow). Any uneven flame patterns, any flames that are            need to be continually monitored; if allowed to continue, they
                   unstable, or any flames impinging on tubes indicate a prob-               will ultimately cause tube failure. The process tube maxi-
                   lem that needs to be corrected. See Chapter 17 for a full dis-            mum temperature limits should be known to the operator and
                   cussion on troubleshooting that problem.                                  monitored to protect against tube overheating and failure.
                      A hazy appearance in the firebox may be an indication of                  Tubes that are out of position may bow due to overheating
                   high carbon monoxide levels and may cause wildly swirling                 or because of loss of a tube support or guide. Overheating
                   flames extending to the arch. If the carbon monoxide levels               may be caused by over-firing, by concentration of active
                   are high enough, afterburning may occur in the convection                 burners in the firebox, or by flame impingement. The bowing
                   section, possibly resulting in tube support failure and nesting           may be accompanied by internal tube fouling. Look for metal
                   of the tubes in the convection section. The draft loss across             parts from a broken support or guide on the heater floor.
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                   between 20 to 80% open. Compare the present position to this
                   range to get an idea of the amount of draft control available.
                      If a black plume is observed being emitted from the stack,
                   look for a tube rupture, a burner with poor atomization, or
                   insufficient excess air, possibly due to a fuel composition
                   change. A blue plume from the stack indicates the burning of
                   sulfur in the fuel. Operation changes will not affect this plume.
                   16.2.4.10 Atomization Medium, Pressure,                                                         systems are functional. Confirm adequate pressure in the
                             and Temperature                                                                       fuel and atomizing medium supply systems.
                   The atomization medium pressure and temperature should be                                    c. Adjust the burner registers to confirm operability over
                   noted to ensure agreement with the liquid fuel gun being                                        the full range. Leave them set at the 100% open posi-
                   used. If the atomization medium is steam, the steam lines                                       tion(s) for purging the heater.
                   should be insulated and have adequate steam traps to ensure                             2.   Check the heater for readiness:
                   dry steam to the oil gun. The atomization pressure should be                                 a. Visually check that there is no debris from maintenance
                   as shown on the capacity curve of the equipment. Any pres-                                      or construction left inside the heater. All doors (main-
                                                                                                                   tenance, header box, sight, explosion) are to be closed
                   sures outside the norm should be investigated and corrected.
                                                                                                                   and protective refractory placed where applicable.
                                                                                                                b. Adjust the stack damper over the full range to confirm
                   16.2.411              Fuel Composition
                                                                                                                   operability and leave it fully open.
                   Fuel composition (sometimes indicated by specific gravity)
                                                                                                           3.   Establish flow through the process tubes:
                   monitoring can be a “leading indicator” for adjustments of
                                                                                                                a. Multi-pass heaters with vertical radiant tubes and liquid
                   excess oxygen in the heater by adjusting burner registers or
                                                                                                                   feed require a special procedure that involves filling
                   plenum damper.                                                                                  one pass at a time. This is to ensure that full and stable
                                                                                                                   flow is reached in each pass during operation. Heater
                   16.2.4.12 Stack Emissions                                                                       manufacturer guidelines and instructions should be fol-
                   Stack emissions, such as NOx and combustibles (including                                        lowed to ensure that each pass is flowing properly.
                   CO and VOC), are monitored to help ensure compliance with                                    b. During the filling process, check the operation of the
                   regulations and operating permits. A change may indicate an                                     pass flow indicators, valves, and controllers. If any
                   improperly adjusted burner, inadequate air flow to the burn-                                    pass does not have the correct flow indicated or if flow
                   ers, unstable flames, or a change in fuel composition.                                          fluctuates, analyze and correct the problem before
                                                                                                                   beginning the purge and burner lighting steps. It is
                                                                                                                   often helpful to place the pass flow control valves on
                   16.4.7 Developing Startup and Shutdown
                                                                                                                   manual operation until the flow reaches about 75% of
                          Procedures for Fired Heaters                                                             the normal flow value. This will overcome the reset
                   Each plant will need to develop startup and operating proce-                                    windup problems that occur with some control sys-
                   dures for its particular heater and operations. These proce-                                    tems and valves with minimum flow stops.
                   dures should be followed for startup and shutdown to ensure                             4.   Purge any accumulated combustibles from the firebox:
                   a safe and efficient operation. The following procedures are                                 a. Use steam or fan-supplied air to purge the firebox for
                   only intended as a guide to help develop startup and operat-                                    at least five volume changes. Normally, this takes
                   ing procedures for a plant.                                                                     approximately 15 to 20 minutes, or until a steam
                      The startup and operating procedures are intended to ensure                                  plume appears at the top of the stack. Avoid excessive
                                                                                                                   steaming; a long exposure to steam and condensate
                   avoidance of an explosive mixture occurring in the firebox
                                                                                                                   can damage the refractory.
                   and to establish stable flames and process flows. Startup pro-
                                                                                                                b. Check the operation of the draft gauge during the
                   cedures will vary with the degree of automation and instru-
                                                                                                                   purge period to ensure that the draft gauge is operable
                   mentation on the heater. The procedures should address the
                                                                                                                   and reading the draft within the heater.
                   issues listed below.
                                                                                                           5.   Light the pilot burners:
                         1. Fuel system and burner preparation:                                                 a. First check that all pilot and main burner individual
                            a. Confirm that the burners are properly installed (Chap-                              block valves are closed.
                               ter 15), with the tips properly positioned and oriented                          b. Reduce the purge flow 75% and sample the firebox in
                               and no blockage in the fuel ports or the air flow pas-                              several locations with an explosimeter. If safe, remove
                               sages. Isolation valves and line blinds in the fuel sys-                            the pilot gas line blinds, and confirm that the pilot gas
                               tems must be closed, including those at each burner.                                pressure regulator is set accurately and in accordance
                            b. The fuel lines and valves may be pressure-tested to iden-                           with the required pressure for the pilot to work properly.
                               tify leaks or may be blown out to remove scale and debris.                          Close the burner air register or damper to a position of
                               Fuel gas lines should then be confirmed as full of hydro-                           15 to 25% open. Close the stack damper to 25% open.
                               carbon fuel, not noncombustible gas. The fuel gas knock-                            Light the pilots individually; if the first pilot does not
                               out vessel should be drained of all liquids. The circulation                        light, briefly repurge and try to light another. Light all
                               in the fuel oil system must be established and confirma-                            pilots and keep them burning steadily for 15 minutes to
                               tion obtained that the heat tracing and atomizing medium                            confirm their flame stability. Relight any that extinguish.
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                    6. Light the main burners:                                                                                ceramic fiber has been installed since previous opera-
                       a. Visually recheck that all main burner individual fuel                                               tion, the manufacturer or installer of the material will
                          valves are closed. Remove any blinds in the main fuel                                               recommend a firing procedure to carefully dry and
                          supply line. Check the fuel pressure controller setting                                             cure the material to achieve the optimum properties.
                          for proper operation of the temperature control valve                                               If only Thermbond refractory patches are installed, the
                          (TCV). Place the TCV in the “manual” mode on initial                                                warm-up rate should not exceed 500°F per hour.
                          startup because operations will be below the auto-                                         7. Periodic checks:
                          matic controller range. Set the TCV to 15% open,
                          open the main fuel supply block valves, and open one                                             a. Periodically during the startup, check the fuel and pass
                          individual burner block valve on a burner with a stable                                             flows, the individual pass outlet temperatures, fuel
                          lighted pilot. If lightoff does not occur within 5 to 9                                             pressure, draft at the highest pressure point in the fire-
                          seconds, close the block valve and repurge the heater                                               box, flue gas oxygen content (to ensure correct instru-
                          (see step 4). If lightoff does not occur within 5 to                                                ment operation and good combustion) at the radiant
                          9 seconds, check the positioning of the pilot with                                                  section outlet, and firebox and tube-skin temperatures.
                          respect to the main burner tip.                                                                  b. Draft should be monitored frequently by the operator
                       b. After the first burner is confirmed to be burning with                                              when heat input is increasing. As the heat input is
                          a good stable flame, discontinue the firebox purge                                                  increased, the air registers (or burner dampers) on a
                          flow.                                                                                               natural-draft heater and the stack damper will need to
                       c. Go to another burner with a stable operating pilot and                                              be opened.
                          repeat the lightoff procedure. A repurge is not neces-                                           c. Place the pass flow controllers on automatic operation
                          sary if the first burner is lit and this one fails to light.                                        at about 75% of normal flow (see step 3). Watch the
                          Wait 5 minutes and try a different burner. The heat                                                 pass outlet temperatures closely. A high or uneven pass
                          from the first burner will cause enough draft to safely                                             outlet temperature can be due to a low pass flow, flame
                          dilute and remove the fuel from the failed burner.                                                  impingement, or uneven firing of the burners. This
                          Continue lighting main burners that have stable pilot                                               must be analyzed and corrected quickly to avoid dam-
                          flames, manually opening the temperature control                                                    age or curtailment of the run length due to internal
                          valve after each to maintain adequate fuel pressure                                                 tube fouling. The pass flow indicators may not be
                          (minimum firing pressure shown on the burner capac-                                                 reliable; the outlet temperature may be the best infor-
                          ity curve) at the active burners. Failure to do this will                                           mation. If flow stoppage or reduction is suspected or
                          cause flame instability and likely failure, requiring a                                             a major pass outlet temperature discrepancy cannot be
                          repurge of the heater if all the pilots and burners are                                             corrected, quickly extinguish the main burners until
                          extinguished. Light burners in a pattern that distributes                                           the problem is resolved. The pilots can usually be kept
                          active burners evenly throughout the firebox.                                                       lit under these circumstances, thereby avoiding having
                       d. If operating in the natural-draft mode, increase the fuel                                           to purge the heater again.
                          rate slowly to warm the heater and establish the draft
                          that allows more air to enter the heater. Failure to                                             d. Be aware that without process flow, the tube-wall
                          establish adequate draft can cause a fuel-rich, poten-                                              temperature will rise to within about 200°F (110°C)
                          tially explosive mixture to develop in the firebox.                                                 of the firebox operating temperature, after the main
                          Check the draft at the top of the firebox radiant section                                           burners are extinguished. Opening the stack damper(s)
                          to ensure that air is flowing through the burners.                                                  fully will increase the flow of cooling air. If the process
                       e. Visually do a frequent check for stable flames on both                                              flow is interrupted, do not reintroduce fluid into the
                          main and pilot burners.                                                                             tubes until they have cooled to below 900°F (485°C).
                       f. When the process outlet temperature warms to within                                              e. Shutdown of the heater is far simpler. Gradually reduce
                          the range of the temperature controller, place the fuel                                             the heat input, taking burners out of service in order
                          control valve on automatic operation.                                                               to hold adequate fuel pressure on the active burners.
                       g. Typical allowable warm-up rates for heaters vary from                                               Do not close the registers on burners taken out of
                          100 to 200°F (55 to 110°C) per hour for heaters with                                                service. The rate of cooling should be similar to the
                          plug headers, to up to 350°F per hour for heaters with                                              heating rate in step 6 above. Purge the contents from
                          fully welded coils. The lower rates for plug headers will                                           the tubes when they have cooled and fires are extin-
                          avoid excessive thermal stresses that can cause leaks at                                            guished. Close all fuel and atomizing medium valves.
                          plugs or header attachments. The above temperatures                                                 Open the stack and air plenum dampers and the air
                          are flue gas temperatures measured at the bridgewall.                                               registers to increase the flow of air and the rate of
                       h. Warm-up rates may be limited by the curing require-                                                 cooling of the heater. Install line blinds in the fuel and
                          ments for new refractory. If new refractory other than                                              process lines as required by safe practice.
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                   16.4.8 Developing Emergency Procedures                                           pass into the firebox without losing containment. The tubes
                          for Fired Heaters                                                         in the other passes should be purged of contents in the normal
                                                                                                    manner to avoid a rupture in another pass adding fuel to the
                   An emergency can be defined as an off-design condition that,
                                                                                                    conflagration. If the failed pass contained hydrogen, allow
                   if not properly handled, will result in major damage to or
                                                                                                    the contents to dissipate into the firebox without purging. A
                   destruction of equipment and personnel injury or death.
                                                                                                    hydrogen fire may become so hot that tubes melt or vaporize,
                   Emergency procedures most commonly address the problem
                                                                                                    and it is important to give the smothering steam a chance to
                   of rupture of a tube containing a flammable material while the
                                                                                                    cool the firebox.
                   heater is operating. A more common and more easily handled
                   event is an incident in which unburned combustibles collect in                      It is likely that there will be unburned hydrocarbon gases
                   an active firebox due to errors in fuel and air handling. In the                 or vapors in the heater firebox. Beware of the instinctive
                   latter case, the appropriate procedure is to gradually reduce                    reaction to cut off the fuel to the burners. The combustion air
                   the firing rate, without increasing the air supplied to the fire-                freed by such action could result in an explosive mixture in
                   box, until complete combustion is reestablished. (Adding air                     the heater, resulting in violent destruction. Avoid creating
                   first to a combustible mixture at ignition temperature could                     explosive mixtures in the affected heater and in any ducting
                   cause a detonation and heater destruction.) Then, the fuel and                   or stack common with other heaters. These other heaters, if
                   air can be increased to satisfy the process requirements.                        any, should be kept firing at low rates and with the absolute
                       Some events that can result from a tube rupture and for                      minimum excess air until they can be shut off and their air
                   which the proper mitigating actions must be developed                            registers or plenum dampers closed. Then introduce smoth-
                   include the following:                                                           ering steam to them as well.
                                                                                                      If valves are available, isolate the heater to minimize the
                            •      melting or vaporization of the tubes and supports                amount of flammables that can flow from other equipment.
                            •      detonation in the firebox
                                                                                                    Begin depressurizing the plant as soon as possible to mini-
                            •      convection section collapse into the radiant section
                                                                                                    mize the amount of fuel that is available.
                            •      heater collapse due to support structure failure
                            •      flaming oil pool spreading to other areas, putting                  Keep the smothering steam flow on and the combustion air
                                   additional equipment at risk                                     flow blocked until the heater cools to below 600°F. Test the
                            •      explosive vapor cloud forming around the heater and              firebox for combustibles with an explosimeter. If no combus-
                                   possibly igniting                                                tibles are found, the plenum damper or air registers can be
                            •      damage to a stack used by several heaters                        opened to increase the rate of cooling.
                            •      rapid shutdown of heater and unit causing leaking
                                   flanges due to thermal shock
                            •      rapid depressuring from high pressures causing upset of
                                   catalyst beds and distillation column trays                      REFERENCES
                      Some actions are almost always appropriate and should be                          1. API Standard 560, Fired Heaters for General Refinery
                   considered when developing emergency procedures. These                                  Service, American Petroleum Institute, Washington,
                   include the following:                                                                  D.C., 1996.
                          1. Always leave the stack damper in position or try to open
                                                                                                        2. R.D. Reed, Furnace Operations, 3rd ed., Gulf Publish-
                             it fully, if possible from a remote location.
                                                                                                           ing, Houston, TX, 1981.
                          2. Attempt to minimize air entering the heater; close air
                             plenum dampers if possible.                                                3. API Standard 530, “Calculation of Heater-Tube Thick-
                          3. Turn on firebox smothering (snuffing) steam to cool the fire.                 ness in Petroleum Refineries,” American Petroleum
                          4. Activate firewater monitors and hoses to quench any                           Institute, Washington, D.C., 1996
                             spilled oil, to protect adjacent equipment with fogging
                             sprays, and to cool the structure and stack to avoid pos-                  4. John Zink Burner School Course Notes, Sept. 2000,
                             sible collapse.                                                               copyrighted 2000.
                      Aim at containing the fire inside the heater. Slowly, using                       5. E.A. Barrington, Fired Process Heaters, Course Notes,
                   steam or nitrogen, purge the contents of tubes in the failed                            copyrighted 1999.
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                                                                            Chapter 17
                                                                            Troubleshooting
                                                                                                                                                                  Roger H. Witte and Eugene A. Barrington
                                                                            TABLE OF CONTENTS
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                                                                                                                                                                501
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Troubleshooting 503
                   However, if the woofing condition is not resolved and is                    with a large combustible mixture of fuel and air, which might
                   allowed to continue, the intensity of the pressure surges within            result in a detonation and damage to the equipment.
                   the furnace may cause the refractory insulation to begin to                    If the air registers or the stack damper are fully opened,
                   break up and fall onto the heater floor. The burner tile may                then the heater has reached its maximum capacity. Any wind
                   even begin to deteriorate and fall apart. The heater vibration              blowing under the heater or across the top of the stack may
                   can break piping, tubing, and instruments. The incomplete                   interrupt the air flow to the burners and start the pulsating
                   combustion that occurs causes a drop in heat release, and the               flame problem. Sometimes, a windscreen or fence around the
                   heater cannot fulfill its required duty. Hence, the heater may              furnace is necessary to prevent the wind effects on heaters
                   have to be shut down for major repairs.                                     operating at maximum capacity in high-wind locations.
                      The usual cause of the pulsating flame is lack of oxygen in              Another solution would be to consider changing the raw gas
                   the combustion reaction. When the oxygen or air flow is                     burners to premix burners, the latter not being affected by the
                   inadequate, the flame will search for oxygen alternately inside             wind conditions but by the fuel gas pressure. If the flue gas
                   the heater as the air flows across the burner and outside the               analyzer is in the stack, consider relocating it to the firebox
                   heater as it becomes starved for air. As the flame moves into the           flue gas exit so that air leaking into the heater does not give
                   heater, a pressure front is generated, again causing the air flow           a false indication of the oxygen available at the burner.
                   to cease, and the flame moves back to the burner for oxygen.
                   The movement of the flame and pressure continue to increase                 17.3           FLAME IMPINGEMENT
                   in intensity and with such force as to cause damage to the heater.                         ON TUBES
                   In extreme cases the flame may oscillate so far from the burner
                   that combustion is extinguished and the flame is lost.                      17.3.1 Indications of the Problem
                      The condition of insufficient oxygen in the combustion                   The most direct indication of flame impingement is visual
                   zone of the furnace may exist even when the oxygen levels                   observation by the operator of the flames contacting the
                   measured in the stack flue gas indicate that sufficient oxygen              external tube surface inside the firebox. The operator may
                   is available. Air can leak into the heater through the flanges              also observe tubes with a cherry-red color or bulges in the
                   between the convection section and the radiant section, open-               tube walls. Indirect indications that flame impingement has
                   ings in the heater shell, sight ports left open, manway flanges,            occurred include higher pressure drop on the process side
                   and corrosion holes in the heater steel shell. Air leakage into             because of coke deposition on the tube walls, higher firing
                   the heater will add oxygen to the flue gases, causing inaccu-               rate due to the loss of heat transfer because of coke deposi-
                   rate indications of oxygen available for combustion in the                  tion on the tube walls, and an increase in the bridgewall and
                   throat of the burner.                                                       stack temperatures.
                                                                                                  If flame impingement is suspected but cannot be directly
                                                                                               observed, several infrared photographs of the tubes should be
                   17.2.3 Corrective Action
                                                                                               taken to determine if there are any high tube skin temperatures
                   As soon as a pulsating flame is observed, the firing rate should            as a result of direct or indirect flame impingement. Also,
                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   be immediately reduced to establish sufficient oxygen for the               components of the flame radiating at frequencies not visible
                   combustion reaction to go to completion. The operator must                  to the naked eye may be contacting the tubes. To establish if
                   reduce the firing rate until the pulsating flame has stopped and            the flame is contacting the tubes, the operator can inject some
                   no woofing noise is heard. When no woofing noise is heard                   baking soda (Na+) or activated carbon particles into the com-
                   and the flames are not pulsating, the operator should observe               bustion air. The flame temperature causes the Na+ ion to get
                   good stable combustion. There should be a measurable excess                 excited and glow a bright yellow or the carbon to burn with
                   of oxygen in the firebox gases. Then the operator can open the              a yellow flame. The glowing Na+ ion or the burning carbon
                   air registers on the burner and increase the stack damper’s                 will show the flame pattern being emitted from the burner for
                   opening to adjust the excess oxygen and draft to the correct                a short time span and will also indicate if there is any flame
                   levels required for the firing rate desired. The firing rate can            impinging on the tubes.
                   then be increased to the burner capacity or to the required heat
                   release requested by the heater control system.                             17.3.2 The Cause and Effect on Operation
                      The combustion air should not be increased before cutting                During normal operation, the process fluid flowing through
                   back on the fuel and establishing a stable flame. Increasing                the tubes will provide sufficient cooling of the tube surface to
                   the air before cutting back on the fuel may fill the furnace                cause the tube color to be essentially black in contrast to the
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                                                                                    ing into sample lines, and that all air leaks on the radiant sec-
                                                                                    tion are sealed. Then the operator can increase the amount of
                                                                                    combustion air by opening the air registers or stack dampers
              FIGURE 17.1 Corroded gas tip.                                         to allow more air to flow across the burner. If fuel oil is being
                                                                                    fired, the operator may need to check the atomizing steam
                                                                                    pressure to ensure complete atomization and efficient com-
              tube hangers or brackets. The tube hangers or brackets that
                                                                                    bustion of the oil. The furnace should be checked regularly
              support the tubes will normally be black or slightly red. Flame
                                                                                    for air leaks by inspecting the heater shell, the areas around
              impingement on the tubes can create hot spots, causing the
                                                                                    the tubes entering and leaving the firebox, the convection sec-
              tubes to appear red or orange in color. The tube color indicates
                                                                                    tion flanges, the sight ports, and flanges around manways.
              excessive tube wall temperatures that may result in localized
              coke formation. The layer of coke insulates the tube wall from           If the fuel is oil, the oil tips should be cleaned regularly to
              the cooling effects of the process fluid and allows the metal         prevent coke buildup and clogging. The exit ports on the oil
              temperature to rise. The insulating effect creates two undesir-       tip should be checked for erosion. Both oil and gas-fired
              able conditions: (1) heat transfer to the process fluid is            burners should be checked for proper alignment and position
              impeded, thereby reducing efficiency; and (2) the tube is inad-       of the fuel tips within the throat.
              equately cooled by the process fluid, resulting in hot spots,            If the flue gas circulation patterns within the firebox are
              more coke deposition, and eventually tube rupture within the          pushing the flames into the tubes, then a Reed wall6 or division
              heater.                                                               wall 7 may need to be installed in the heater firebox. The Reed
                 Some process liquids do not coke when overheated, but              wall redirects the flue gas circulation pattern within the heater
              form vapor. If not considered in the heater design, the vapor         while the division wall interrupts the circulation. Each allows
              may significantly increase the resistance to flow and the pres-       the burner flame pattern to develop in the space designed for
              sure drop. The lowered flow rate combined with film boiling           the flame pattern.
              at the location of impingement will reduce the heat transfer             Damaged or missing burner tile sections can cause unequal
              coefficient and raise the local tube temperature.                     distribution of air within the burner. This will lead to fuel-
                 A possible cause of flame impingement on the tubes may             rich zones, locally longer flame segments, and the potential
              be a deficiency of combustion air in the combustion reaction,         to lean toward and into the tubes. Check the tile condition
              causing the flame to search for additional combustion air             and repair if necessary.
              within the firebox. The deficiency of combustion air for the             Impingement may be overcome by changing the flame
              combustion reaction may be a result of overfiring or of air           shape. For example, if the firebox dimensions allow a longer
              leaking into the firebox and not flowing across the burner air        flame, the burner tip port included angle can be reduced to
              orifice. Air leakage through other openings on the heater does        obtain a more slender flame and move the flame envelope
              not mix well with the combustion air moving across the throat         further from the tubes.
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                   17.4            FLASHBACK                                                               TABLE 17.1 Ratio of the Upper and Lower Explosive
                                                                                                           Limits and Flashback Probability in Premix Burners for
                   17.4.1 Indications of the Problem                                                       Various Fuels
                   Flashback is the phenomenon that occurs in premix burners                                             Fuel                               Ratio1               Probability2
                   when the flame velocity is greater than the velocity of the flow-                       Acetone                                            5.01                  1.67
                   ing mixture and the flame front propagates back through the                             Acetylene                                         32.00                 Infinite
                                                                                                           Acrylonitrile                                      5.57                  1.85
                   mixer or venturi to the orifice or area where the fuel and pri-
                                                                                                           Ammonia                                            1.71                  0.57
                   mary air are being mixed. Then the fuel and primary air con-                            Aromatics (Mean)                                   5.00                  1.66
                   tinue to burn in the venturi or mixer. Flashback is most likely                         Butadiene                                          5.75                  1.92
                                                                                                           Butane                                             4.52                  1.51
                   to occur in burners using fuels having a high ratio between the
                                                                                                           Butylene                                           4.88                  1.63
                   upper and lower explosive limits of the fuel. Table 17.1 reveals                        Carbon Disulfide                                  40.00                 Infinite
                   that the gases most susceptible to flashback include carbon                             Carbon Monoxide                                    5.93                  1.97
                                                                                                           Cyanogen                                           6.45                  2.15
                   disulfide, acetylene, ethylene oxide, hydrogen, hydrogen
                                                                                                           Ethane                                             4.02                  1.34
                   sulfide, and ethylene. Another reason for flashback may be that                         Ethyl Alcohol                                      5.77                  1.92
                   the gas tip design is not optimized for the fuel that is being                          Ethyl Chloride                                     3.70                  1.23
                                                                                                           Ethylene                                          10.04                  3.33
                   burned. If the velocity of the gas and air exiting the gas tip is
                                                                                                           Ethylene Oxide                                    26.66                 Infinite
                   very low, because of a large-diameter firing port, then the                             Gasoline (Mean)                                    5.06                  1.68
                   velocity of the flame front may be greater than the velocity of                         Hydrocyanic Acid                                   7.14                  2.38
                                                                                                           Hydrogen                                          18.55                 Infinite
                   the fuel/air mixture exiting the tip and flashback will occur.
                                                                                                           Hydrogen Sulphide                                 10.60                  3.52
                      When flashback occurs within the mixer or venturi, a flame                           Methane                                            3.00                  1.00
                   will be observed burning in the venturi or mixer. If flashback                          Methyl Alcohol                                     5.43                  1.81
                                                                                                           Methyl Chloride                                    2.26                  0.75
                   has occurred sometime in the past, the mixer or venturi will                            Naphtha                                            5.45                  1.81
                   show signs of oxidation on the outside of the cast iron venturi.                        Oil Gas                                            6.84                  2.28
                   When flashback occurs in a premix burner, there is little doubt                         Propane                                            5.25                  1.75
                                                                                                           Propylene                                          5.55                  1.85
                   in the operator’s mind that flashback is occurring within the                           Vinyl Chloride                                     5.42                  1.80
                   burner. A sharp barking noise in the mixer is continually                               1 Ratio of the upper and lower explosive limits.
                   emitted until corrected.                                                                2 Probability of flash-back as compared to methane.
                                                                                                           Source: R.D. Reed, A new approach to design for radiant heat transfer in
                   17.4.2 Effect on Operation                                                              process work, Petroleum Engineer, August, C7-C10, 1950.
                   When flashback occurs and remains uncorrected, the burner
                   mixer or venturi is damaged from the high temperatures gen-
                   erated within the mixer from the combustion reaction that is                            that no flashback will occur. If the fuel composition or process
                   occurring. The damage to the burner parts will result in                                heat requirement changes, resulting in lower operating pres-
                   higher maintenance costs. When flashback occurs, the capac-                             sures, burners must be shut off to raise the fuel gas pressure or
                   ity of the burner is restricted; if flashback occurs on many                            new orifices may be required in the mixers or venturi to keep
                   burners within the heater, the outlet temperature of the pro-                           the fuel gas pressure at a level sufficient to prevent flashback.
                   cess cannot be obtained. The burning inside the venturi tube                               If raising the fuel pressure does not resolve the flashback
                   and intermittent open flame constitute a safety hazard.                                 problem, one can look to the flame velocity of the fuel/air
                                                                                                           mixture for another solution. The flame velocity is related to
                   17.4.3 The Cause and Corrective Action                                                  the percentage of air in the fuel gas. A change in this percent-
                   The solution to the problem will vary depending on what is                              age, by adjusting the burner air door, can raise or lower the
                   available to the operator. The operator should immediately                              flame velocity. Try reducing the primary air flow to lower the
                   check the gas tip discharge port and the main gas orifice to                            mixture flame velocity. Adjust the secondary air register to
                   ensure that both are clean. If the gas orifice is dirty, the fuel                       maintain the target excess oxygen level.
                   flow may be reduced to the point of creating a flashback condi-
                   tion. If the gas tip discharge port is dirty, the flow of the fuel/air                  17.5                 IRREGULAR FLAME PATTERNS
                   is reduced on the exit discharge port to the point of creating the
                   flashback condition. Hence, the operator must clean both the                            17.5.1 Indications of the Problem
                   gas metering orifice and the gas tip discharge port to allow the                        On a single burner, the flame pattern is nonsymmetrical. An
                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   fuel/air velocity to remain higher than the flame velocity so                           irregular flame pattern implies that the flame varies in length
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              longer flame lengths may create flame impingement on the               inspected, cleaned, and of the same orifice size. All air reg-
              process tubes while the other burners have short, compact              isters should be set to the same approximate opening. All fuel
              flames and cause no hot spots on the tubes. Irregular flame            pressures to the burners should be at the same level. If the
              patterns can result in higher operating cost or afterburn due to       flames are still irregular, check the manufacturer’s drawings
              incomplete combustion of the fuel being burned.                        for the burner fuel tip position and orientation. Then check
                                                                                     each tip on each burner and ensure that the tips are at the
              17.5.3 The Cause and Corrective Action                                 correct height and orientation with respect to the ignition
              In the case of an irregular flame from a single burner (see            ledge. Inspect the burner refractory tile for damage, especially
              Figure 17.2), the problem may be a dirty burner tip, an                in the immediate area of the tips. Some tips are designed to
              eroded tip, or a tip improperly oriented with respect to the           operate in close proximity to the refractory, and a difference
              refractory. In a dirty burner gas tip, some orifices may be par-       of ±0.25 in. (6.4 mm) can cause irregular flames.
              tially plugged while others are operating normally. If part of            Air plenum distribution problems are difficult to diagnose.
              the flame is emerging at a different angle from the main               Such problems usually occur when the plenum is not correctly
              flame, tip erosion may have occurred. Improperly placed tips           sized. As a result, some burners get more combustion air and
              may be too close, too far, or turned at the wrong orientation          other burners are starved for combustion air. The operator
              with respect to the refractory tile ignition ledge. The irregular      needs to ensure that all burner air registers have the same size
              flame may also be caused by a foreign material, such as                opening. The designer should ensure that the air plenums are
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Troubleshooting 507
                   properly sized for good air distribution to all burners. In some              spray will contact the tile and cause coking on the tile as well
                   cases, it may be beneficial to have the air plenums modeled                   as oil drips or spills. This sometimes happens when the oil
                   so that they are correctly sized. In large plenums, benefit may               gun from one heater is mistakenly installed in another. The
                   be obtained by adding air inlets to improve the distribution                  operator should have manufacturer drawings available to
                   of air.                                                                       check the oil tip location and should have the oil guns for
                                                                                                 each heater readily identified.
                   by the operator’s hand because of the excessively high skin                   vection section may also be indicative of atomization problems.
                   temperatures. The paint on the air plenum is observed to be                      The operator should check the fuel temperature at the
                   blistering and peeling. In extreme cases, the operator may                    burner and control the temperature to a viscosity of 200 SSU
                   observe oil burning under the heater where the oil has                        (45 Centistokes) or less. The operator should inspect all parts
                   dripped and formed pools of oil at grade.                                     of the fuel oil system, including the fuel oil gun and atomizer.
                                                                                                 The fuel oil tip and atomizer should be cleaned, and no foreign
                   17.6.2 The Cause and Effect on Operation                                      material should be on the tip or inside the fuel oil tip or
                   An open pool of oil beneath an operating furnace is clearly a                 atomizer. The fuel oil tip should be inspected for erosion and
                   fire hazard that must be immediately corrected to ensure                      replaced if necessary. If the fuel oil tip orifice is +2 drill sizes
                   operator and equipment safety. If the pool of oil under the                   larger than the design, then the oil tip should be replaced with
                   heater is allowed to ignite and burn, damage may occur to the                 a new case-hardened oil tip to provide longer life.
                   heater. Second, the oil is not all being consumed in the com-
                   bustion reaction, causing higher fuel operating costs.                           The operator should check the burner manufacturer’s draw-
                                                                                                 ings to ensure the oil tip is located in accordance with man-
                      The main cause of oil spillage or dripping from the burner
                                                                                                 ufacturer instructions. The steam-to-oil differential pressure
                   is normally the poor atomization of the fuel oil when the
                                                                                                 should also be checked and set in accordance with the burner
                   temperature of the oil is lower than specified or the atomizer
                                                                                                 manufacturer’s instructions. The steam traps on the atomizing
                   is damaged or plugged. At low fuel oil temperatures with
                                                                                                 steam line should be operating correctly to ensure that no
                   higher oil viscosity, the oil droplets leaving the oil gun are
                                                                                                 condensate or water is present in the atomization steam; steam
                   larger. The large oil droplets may contact the burner tile and
                                                                                                 line insulation should be in good repair.
                   begin flowing down the burner onto the grade.
                      The temperature of the fuel oil must be at a viscosity of
                   200 SSU (45 cs) or less at the burner, not at the fuel oil heater
                   outlet. If the fuel oil lines from the heated fuel oil supply tank            17.7           LONG SMOKY FLAMES
                   to the burner oil gun connection are not insulated properly,
                   the fuel oil temperature can be too low at the burner, making                 17.7.1 Indications of the Problem
                   the viscosity too high. Even with higher steam atomization
                   pressure, the cold fuel oil may not be broken into small                      Visual observation inside the firebox reveals long, dirty,
                   enough droplets to burn effectively.                                          smoky flames, possibly reaching into the convection section
                      The burner fuel oil tip and atomizer may have suffered                     of the heater. Smoke may be observed exiting the stack. The
                   erosion from particles present in the fuel oil. The eroded tip                flame, rather than being confined in the flame pattern space
                   will allow the oil to be injected into the tile at a larger angle             within the firebox, may be impinging on the process tubes in
                   than design. The oil then contacts the sides of the refractory                the convection section. The combustion zone may appear
                   tile and begins leaking fuel oil down onto the burner and                     hazy, rather than bright and clear.
                   dripping to the grade under the burner.                                         The operator of the heater may notice that the process outlet
                      Not all spills are due to atomization or fuel tip problems.                temperature cannot be achieved. The stack temperature may be
                   If the oil gun is not inserted far enough into the burner, the                above the design specifications.
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              17.7.2 Effect on Operation                                              with closely sized burners or with some burners out of service,
              Long, smoky flames are the result of incomplete combustion              will cause a shortage of oxygen at the burners and long flames
              and can consume far more fuel than necessary to achieve the             that smoke. Place more burners in service or reduce the fuel
              desired heat transfer and outlet temperature. Soot (unburned            input. Contact the burner manufacturer if larger burners are
              carbon) will be deposited on tube surfaces in the convection            required to increase the heat release.
              section, reducing heat transfer. Coke formation may be                     Also check the size of the ports in the burner tips. The ports
              observed in the burner tile. The required process outlet tem-           may be enlarged or the wrong tips may have been installed
              peratures may not be achieved.                                          during maintenance. In the latter case, the tips may even vary
                                                                                      from burner-to-burner. Enlarged ports allow uneven fuel input
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              17.7.3 Corrective Action                                                for the available air. Replace any damaged or improper tips.
              The corrective actions are aimed at ensuring that adequate air             If changing the operating variables and cleaning the tips and
              is provided to each burner and that this air is mixed quickly           atomizers, together with replacing damaged parts, do not
              and completely with the fuel so as to achieve rapid combus-             improve the flame, contact the burner manufacturer. He may
              tion and smaller flame volume. Air that is not mixed with fuel          recommend a different design for the atomizer and tip, partic-
              at the burner passes into the less turbulent firebox where mix-         ularly if fuel characteristics are not close to the original design.
              ing of the fuel and air is less likely and ignition temperatures           When firing gas at low excess air, if flames become long
              may be too low for combustion.                                          and smoky, suspect a change in the fuel gas composition. The
                 The operator should check the draft and excess oxygen                substitution of higher heating value, heavier components
              level at the top of the radiant section of the heater to determine      along with a lowered burner pressure will increase the oxygen
              if there is sufficient oxygen to burn the fuel. If the excess           requirement. The air registers and possibly the stack damper
              oxygen is lower than the target, the draft and excess oxygen            must be opened to provide more air.
              should be adjusted to the correct levels.
                 The next item to be checked by the operator is the temper-
              ature of the oil at the burner. The higher the specific gravity         17.8           MAIN BURNER FAILS TO
              of the fuel oil, the more critical the fuel oil temperature is to                      LIGHT-OFF OR EXTINGUISHES
              atomization in the oil burner. If the viscosity is above 200 SSU
                                                                                                     WHILE IN SERVICE
              (45 cs), atomization will suffer.
                 The operator should determine that the oil gun and atomizer
              are clean and no foreign material is plugging either the oil or         17.8.1 Indications of the Problem
              steam orifices within the oil gun. The fuel oil and steam must          The operator follows the usual purge and ignition procedures
              be delivered to the oil gun at the burner manufacturer’s design         for lighting a burner, but there is no indication of main burner
              pressure and temperature. There are many different types of             ignition. After the heater is in operation, one or more burners
              oil guns used in the burning of fuel oil, and each has different        flame out.
              pressures for fuel and steam to make it work successfully. For
              no. 6 fuel oil and heavier, all fuel oil and all steam lines must       17.8.2 Effect on Operation
              be insulated to reduce loss of heat and temperature. The steam
                                                                                      If a burner fails to light, the process unit outlet temperature
              traps on the steam line should be checked to ensure that the
                                                                                      may not be achieved or the heater startup may be delayed.
              condensate is being removed from the steam and the steam
                                                                                      Additionally, if the burner fails to ignite or flames out, the
              remains dry.
                                                                                      furnace may fill with a dangerous mixture of gas and air that
                 The oil tip should be positioned in the oil tile or diffuser
                                                                                      can result in an explosion in the firebox.
              cone in accordance with the burner manufacturer’s drawings
              and instructions. Improper location may cause the oil–steam
              spray discharging from the oil gun to collapse and produce a            17.8.3 Corrective Action
              dense spray. This spray cannot mix with the combustion air              The most common cause of ignition failure is improper posi-
              quickly so as to burn with a short flame. The flame becomes             tioning of the pilot burner in relation to the main burner. If
              long and smoky.                                                         the pilot is not located so that its flame is directed into the
                 If the burners still show long flames and most of the burners        fuel/air mixture leaving the main burner, the ignition temper-
              have the same flame length, the firing rate needs to be                 ature is not achieved and the main flame is not initiated. The
              checked. Firing at above the rated heat release, particularly           operator should check all components of the pilot and burner
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Troubleshooting 509
                                  to ensure that they are positioned according to the specifica-             quality, as well as the fuel oil temperature, pressure, and flow,
                                  tions in the manufacturer’s design drawings.                               and correct if necessary. Monitor these conditions regularly.
                                     Check that fuel gas is being supplied to the burner. Before
                                  startup, the fuel supply line may be purged or pressure tested
                                  with an inert gas. If this gas is not completely displaced with            17.9           LEANING FLAMES
                                  fuel, the operator will be attempting ignition of an inert mate-
                                  rial. Procedures should be in place for removing the inert gas             17.9.1 Indications of the Problem
                                  and checking for the presence of a flammable material.                     In floor or ceiling-fired furnaces, the flames may lean to one
                                     Check for closed or blocked valves, fuel gas line blinds,               side rather than burning in a vertical line. In wall-fired fur-
                                  plugged strainers or filters, and plugged burner ports. Plug-              naces, the flames may lean to the side rather than firing hori-
                                  ging is a frequent problem during startup if the fuel piping is            zontally and curling upward.
                                  new or just revised due to foreign debris left in the lines. Old              Observation of the flame pattern inside the firebox reveals
                                  piping may have internal scale that dislodges and enters the               that the centerline of the flame does not follow the designed
                                  burners, thereby plugging the ports. The burner ports and fuel             path as specified by the burner manufacturer. The flame is
                                  lines may need to be cleaned. A strainer should be installed               commonly expected to propagate in the general direction of
                                  to minimize plugging if this problem occurs frequently.                    the centerline of the air orifice or refractory tile. However, in
                                     When burners flame out in service, the problem is almost                some burners, the flame may be designed to propagate in the
                                  always an interruption of either fuel or air being supplied to             general direction of the gas orifice.
                                  the burner. Fuel interruptions can be caused by instrument
                                  failures such as the closing and reopening of a fuel control               17.9.2 Effect on Operation
                                  valve. If the burner pilot is lit, the fuel should re-ignite with          Flames that do not have the designed pattern and direction
                                  only a “puff” or minor detonation. If there is no pilot, the fuel          can create problems such as impingement on the process
                                  may not ignite and fuel gas will continue to flow; a flammable             tubes which results in hot spots and may eventually cause
                                  mixture may accumulate and explosion may result.                           tube rupture.
                                     Gas burners are likely to be extinguished if a significant
                                  amount of liquid enters the burner as anything other than a                17.9.3 Causes and Corrective Action
                                  mist. Gas burners have no ability to atomize liquid into finely
                                                                                                             Refer to Sections 17.3, 17.5, and 17.7 for some thoughts on
                                  divided droplets that will burn. Hence, the flame is lost if the
                                                                                                             corrective action.
                                  liquid is discharged through the burner. Liquid may be amine
                                                                                                                Incorrect positioning and orientation of the burner tip(s)
                                  carryover from treating facilities that remove hydrogen sulfide;
                                                                                                             with respect to the refractory walls or floor of the firebox can
                                  from (during cold weather) condensed heavy gases such as
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Troubleshooting 511
                                17.11                               HIGH STACK TEMPERATURE                 section of the heater, and if the air leaks are minimal, then
                                                                                                           the operator must check for foreign deposits on the convection
                                17.11.1 Indications of the Problem                                         section tubes. If fuel oil is being fired, the operator may need
                                Under normal furnace operation, the flue gas temperature                   to blow the soot from the convection section tubes. At times,
                                measured in the stack will be near the operating temperature               a rather simple technique will clean up an externally fouled
                                predicted by the furnace designer at the design duty. High                 convection over time, depending on what has fouled the tubes
                                stack temperatures indicate decreased heater efficiency,                   and the flue gas temperature. Changing from oil firing to gas
                                higher fuel consumption, and increased operating cost. High                firing, together with a modest increase in excess air, has been
                                stack temperatures can indicate excessive heat in the convec-              observed to remove fouling deposits within a few weeks.
                                tive section of the heater. Long-term operation at higher than             Apparently, the deposits oxidize slowly and disappear up the
                                normal stack temperatures can damage the furnace, espe-                    stack as gases. The operator must also determine if there is
                                cially in the roof area of the convective section.                         foreign material deposited between the fins on the convection
                                                                                                           section tubes or fin damage from previous afterburns. The
                                17.11.2 Effect on Operation                                                operator will also need to check the fuel oil temperature to
                                High stack temperatures indicate reduced heater efficiency.                ensure proper atomization of the liquid fuel within the burner
                                The higher the stack temperature, the lower the efficiency of              flame envelope, as well as check to ensure there is no water
                                the heat recovery to the process and the higher the operating              in the atomizing steam. Poor atomization will result in large
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                cost to produce a product. Long-term operation at higher than              fuel droplets that will carry into the convection section,
                                normal stack temperatures may result in damage to the fur-                 deposit on the convection section tubes, and cause high stack
                                nace stack and convection section.                                         temperatures to occur.
                                   High stack temperatures may indicate afterburning in the                   Sometimes the high stack gas temperature is caused by the
                                convection section. The afterburning may be caused by lack
                                                                                                           heater construction. Hot flue gas will follow the path of least
                                of excess oxygen within the burner throat and firebox. Air
                                                                                                           resistance to the stack entrance. This is usually at the ends of
                                leaks into the convection section and the temperature of the
                                                                                                           the convection section tubes, where the surface to absorb heat
                                flue gases is sufficient to cause the completion of the com-
                                                                                                           is minimal. Unless steps are taken to minimize this bypassing,
                                bustion reaction to occur (afterburning) in the convection
                                                                                                           which may occur in header boxes or at tube ends in the main
                                section of the heater. The afterburning will result in the
                                                                                                           flue gas passage, a significant amount of hot gas reaches the
                                destruction of the extended surface on the tubes in the con-
                                                                                                           stack without transferring much heat to the convection tubes.
                                vection section of the heater. The loss of the extended surfaces
                                results in a loss of heat transfer in the convection section. The             Also, if enough stacks or flue gas offtakes from the convec-
                                afterburning within the convection section may ultimately                  tion are not provided, the profile of flow across the tubes is not
                                result in tube failures in the convection section of the heater.           even.7 Flue gas in the zones of high velocity flow escapes from
                                                                                                           the convection section at greater than design temperatures.
                                17.11.3 Corrective Action
                                The stack temperature is controlled by the amount of excess
                                oxygen in the flue gases. Hence, the operator can reduce the
                                                                                                           17.12             OVERHEATING OF THE
                                stack temperature and lower the excess oxygen in the flue
                                gases by controlling the stack draft and burner air registers or                             CONVECTION SECTION
                                dampers. This should be the first action by the operator.
                                   The operator must then determine if there are any air leaks             17.12.1 Indications of the Problem
                                into the furnace and plug all possible cracks and openings
                                leaking air. The excess oxygen at the top of the radiant                   Upon visually inspecting the inside of the firebox, there is a
                                section must then be checked to ensure that there is sufficient            lot of refractory lying on the floor and in the burners. The
                                excess oxygen at the burner to burn all the hydrocarbon fuel               heater shell and structure on the convection section show
                                being injected. If there is insufficient excess oxygen, then               signs of overheating. The shock tubes and shock tube hang-
                                the afterburning may take place in the convection section,                 ers are failing. The draft at the top of the radiant section is
                                resulting in higher than normal stack temperatures.                        at a positive pressure. When the sight ports are opened, hot
                                   If there is sufficient excess oxygen within the heater to               flue gases are forced out, thereby causing a safety hazard to
                                ensure all hydrocarbons are burning completely in the radiant              the operator.
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Troubleshooting 513
                   The fuel oil pressure should increase to keep the same heat                  17.14.3 Corrective Action
                   release in the furnace. The increase in pressure may eliminate
                   the vaporization within the oil gun and stop the motorboating                Flame speed and air/fuel delivery speed must be balanced to
                                                                                                ensure that the flame is attached to the tip rather than rising
                   sound. The best solution for correcting the problem is to con-
                                                                                                above it.
                   tact the burner manufacturer and change the oil gun design
                   from a concentric tube design to a dual tube design. The dual                   When flame lift-off from a burner is first observed, imme-
                   tube design separates the oil and the steam until they reach                 diately reduce the fuel pressure on that burner by partially
                   the oil tip. Hence, the residence time for transferring heat from            closing the specific burner block valve. If the flame continues
                   the steam to the light fuel oil is minimal, and vaporization of              to lift-off, the operator should completely shut off the burner.
                   the light fuel oil is eliminated.                                            In either case, take the following corrective actions. Flame
                                                                                                lift-off produces unsafe conditions and should be corrected
                                                                                                immediately before a more serious condition occurs.
                   17.14              FLAME LIFT-OFF                                               The alignment and positioning of the gas burner tip and
                                                                                                the oil burner tip should be checked to ensure they are cor-
                                                                                                rectly installed and positioned in accordance with the burner
                   17.14.1 Indications of the Problem                                           manufacturer’s drawings and specifications. The gas tips
                                                                                                should be located in relation to the tile ledge or flame holder
                   The first indication of a flame lift-off problem is when the
                                                                                                as shown on the drawings, and the oil tip should be located
                   operator observes that the flame is detached from the burner
                                                                                                in relation to the inlet tile throat or diffuser as per the draw-
                   when inspecting the flame patterns inside the firebox. Nor-
                                                                                                ings. If the oil tip is too high in relation to the tile or flame
                   mally, flame lift-off occurs at one or two burners in a multi-
                                                                                                holder, the oil flame may lift-off.
                   burner installation and not at all the burners at the same time.
                   The process outlet temperature, the excess oxygen in the fur-                   The fuel gas firing ports and ignition ports should be
                   nace, the draft in the furnace, the fuel pressures, and the noise            checked to ensure they are not plugged. If they are plugged,
                   from the operation of the burner will give no indication of                  the ports should be cleaned by manually inserting a twist drill
                   any flame lift-off problem.                                                  the same size as the port and twisting the drill to remove all
                                                                                                foreign material in the port.
                   17.14.2 Effect on Operation                                                     If the burner is a premix burner design, then the primary air
                                                                                                door should be adjusted to the correct position. On a premix
                   Flame lift-off from the burner is a very significant safety haz-             burner, the gas/air mixture exits the gas tip at a given velocity.
                   ard. If the lift-off is extreme, there may be a total loss of flame          The flame burning above the firing port has a flame velocity
                   at the burner and unburned fuel will be injected into the fire-              that is traveling in the opposite direction, that is, it is trying
                   box. If the refractory remains at a sufficiently high tempera-               to get back to the source of the fuel and air mixture. If the
                   ture or if the pilot remains lit, then re-ignition may occur. Re-            gas/air velocity is too high and the flame speed is too low,
                   ignition may also be initiated by adjacent burner flames. The                then the flame begins lift-off from the burner gas tip. To correct
                   re-ignition may cause a minor or major explosion, depending                  the exit velocity from the firing port, the primary air door is
                   on the amount of fuel injected into the firebox, with the extent             closed to reduce the amount of primary combustion air enter-
                   of damage dependent on the heater design and configuration.                  ing with the gas, hence, a reduction in the gas/air velocity.
                   If the explosion within the firebox is minor, the explosion                  With the reduced gas/air velocity, the flame reattaches to the
                   doors will open and relieve the internal pressure built up                   burner gas tip or the flame holder.
                   within the firebox. If there are no explosion doors on the                      If an oil-fired burner is experiencing flame lift-off, the oper-
                   heater to relieve the internal pressure buildup, the heater may              ator will need to adjust the steam atomization pressure per the
                   be damaged by an explosion. If the explosion within the fire-                burner manufacturer’s instructions. If the atomizing steam
                   box is a major explosion, the complete heater may be torn                    pressure is too high, the oil flame will tend to lift-off from the
                   apart, resulting in the heater and process being shut down. The              burner. Raw gas burners that utilize a stabilizing cone can
                   loss of the heater will cause a loss of product and hence a loss             experience lift-off if the cone is missing or damaged. Shut off
                   of profits being generated from the process unit. In the most                any such burner where the cone is partially or completely
                   severe explosions within the firebox, there may be loss of life              missing or is improperly installed, and replace the diffuser
                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              17.15              PILOT BURNER FAILS TO                                                                     Sometimes the pilot gas–air mixture leaving the tip is not
                                 IGNITE OR EXTINGUISHES                                                                 in the flammable region, usually too lean to support combus-
                                                                                                                        tion. Close the primary air door to enrich the mixture. The
                                 WHILE IN SERVICE
                                                                                                                        pilot gas may be of the wrong composition or pressure to
                                                                                                                        induce adequate primary air flow. Check both the gas com-
              17.15.1 Indications of the Problem                                                                        position and the pilot fuel pressure against the manufacturer’s
              Pilot burners are usually small premix gas burners designed to                                            specifications and correct either if necessary.
              ignite the main burner while releasing only a small amount of                                               A natural draft premix pilot will not stay lit if the firebox
              heat. Because pilot burners have small ports, they are suscepti-                                          pressure at the pilot location is positive. Adjust dampers to
              ble to plugging. Many users use a very clean, dedicated, and                                              obtain a negative pressure at the burners. With forced draft
              reliable pilot gas fuel to eliminate this problem. The pilot flame                                        burners where the pressure at the pilot may be positive, it is
              should remain stable and burn throughout the range of main                                                good practice to provide a reliable pressurized source of com-
              burner operation. It is intended to re-ignite the main burner                                             bustion air or a special pilot design. Consult with the burner
              when the main fuel flow is reestablished, before a potentially                                            manufacturer for the correct pilot in this service.
              damaging accumulation of combustible gases can occur.
                                                                                                                           The pilot may be wet, from condensed steam after firebox
                 In a problem situation, although the operator follows the                                              purging, for example, and refuse to light. Allow the pilot to
              appropriate purge and ignition procedures, the pilot burner may                                           dry or dry it with the handheld torch before introducing fuel.
              fail to light or may not continue to burn once lit. There may                                             Wind may also make pilot lighting and continuous operation
              be the loss of the pilot burner flame during operation.                                                   difficult. Consult with the burner manufacturer for a wind
                                                                                                                        resistant pilot tip.
              17.15.2 Effect on Operation                                                                                  Manually light the pilot and observe the pilot flame for
              If the pilot does not light upon heater startup, the correspond-                                          stability. If the pilot flame appears to be too high above the
              ing main burner is not placed in operation, or the main burner                                            pilot tip, close the primary air door on the pilot mixer. If the
              must be lit using a handheld torch. The latter is a less satis-                                           flame appears to be burning with a yellow flame, open the
              factory method because a large gas supply valve must be                                                   primary air door on the mixer. If a thermocouple or a flame
              opened rather than the small pilot gas supply valve. If a mis-                                            rectification rod is being used to monitor the pilot, the oper-
              take is made, a relatively large amount of unburned gas enters                                            ator needs to ensure these devices are providing correct infor-
              the firebox, compared to the small amount from a pilot. This                                              mation and are functioning properly.
              large amount of unburned gas is an unsafe condition and has
              the potential to form an explosive mixture within the firebox.
                                                                                                                        17.16            SMOKE EMISSION FROM
              17.15.2 Corrective Action                                                                                                  THE STACK
              Ensure that the fuel gas is flowing to the pilot. If the fuel pip-
              ing has been pressure tested or purged with an inert gas, this                                            17.16.1 Indication of the Problem
              gas must be completely displaced with the fuel before a suc-
                                                                                                                        Smoke appears at the top of the stack.
              cessful light-off can occur. Also check for closed valves or
              blinds, plugging of the small pilot gas lines, or a plugged
              strainer or filter. Since the ports in the pilot are small, they are
                                                                                                                        17.16.2 Effect on Operation and Equipment
              also susceptible to plugging. Check for a plugged orifice and                                             Smoke indicates either incomplete combustion or a process
              clean it if it appears plugged.                                                                           tube rupture if the process fluid is a hydrocarbon. As a regu-
                 Pilots are lit using a handheld torch or a spark ignitor. If                                           lated emission, continued smoking could lead to sanctions,
              the lighting torch flame is unstable or is not properly posi-                                             fines, and termination of operations.
              tioned, the torch flame might not contact the flammable mix-
              ture leaving the pilot tip. Adjust the torch flame to ensure                                              17.16.3 Corrective Action
              stability, and take care in the positioning of the flame relative                                         If smoke appears while burning oil, suspect poor atomization.
              to the pilot tip. If spark ignition is used, clean the spark plug                                         Check the fuel oil temperature, the atomizing medium condi-
              whenever possible and replace insulators on the ignition rod.                                             tions, oil and atomizing medium pressures, and the condition
              Before startup, check that the ignitor sparks and that unwanted                                           of the oil gun. Refer to Sections 17.6 and 17.10. Consider a
              electrical grounding is avoided.                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                        switch to gas fuel until the problem is resolved.
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Troubleshooting 515
                                              providing a durable product, and offer reliable field service.                                           Firebox Temperature, ºF
                                                 The first thing to do if NOx emissions appear high is
                                              check the analyzer. Like all instruments of this type, it can            FIGURE 17.6 Effect of firebox temperature on NOx.
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Troubleshooting 517
                   Figure 17.11).                                                                                           the airflow across the burner. The burner has both primary
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(a) (a)
                                                                                                                                    (b)
                                                                   (b)              FIGURE 17.11 InfurNOx burner technology.
              FIGURE 17.10 Staged fuel burner.
                                                                                    17.17.3.4 COOL TECHNOLOGY Burner
              and secondary fuel injection nozzles that act to inject fuel gas      When inert components are mixed with the fuel gas, the flame
              into the combustion zone together with flue gas from the              temperature is lowered and the rate of NOx formation is
              firebox. The burner air register or damper position is set with       reduced. COOL TECHNOLOGY burners take advantage of this
              reference to the output of the oxygen analyzer located at the         and require that the amount of inert gas injected with the fuel
              flue gas exit from the radiant section.                               gas be controlled within limits set by the burner manufacturer.
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Troubleshooting 519
                      Check the ports on the injection device to ensure that they                                               Tables 17.2 and 17.3 give summaries of the most frequently
                   are clear so that the inert gas is being added in the quantities                                           occurring troubleshooting operations for gas- and oil-fired
                   designed by the burner manufacturer. Ensure that the damper                                                burners, respectively.
                   on the inert gas supply plenum is open. If flue gas is the inert
                   material being injected, be sure that the flue gas headers are
                   properly insulated and that the fuel gas mixture is kept at the                                            REFERENCES
                   proper operating conditions.
                                                                                                                                    1. Burners for Fired Heaters in General Refinery Services,
                      COOL TECHNOLOGY burners have one air register or
                                                                                                                                       API Publication 535, 1st ed., July 1995.
                   damper to adjust the airflow across the burner. The burner has
                   both primary and secondary fuel injection nozzles that act to                                                    2. N.P. Lieberman, Troubleshooting Process Operations,
                   inject the fuel gas and inspirate firebox flue gases into the                                                       3rd ed., Penn Well Publishing, Tulsa, OK, 1991.
                   combustion zone. The burner air register is set with reference                                                   3. R.A. Meyers, Handbook of Petroleum Refining Pro-
                   to the output of the oxygen analyzer located at the flue gas                                                        cesses, 2nd ed., McGraw-Hill, New York, 1997.
                   exit from the radiant section.                                                                                   4. W. Bartok, and A.F. Sarofim, Eds., Fossil Fuel Com-
                                                                                                                                       bustion: A Source Book, John Wiley & Sons, 1991.
                                                                                                                                    5. John Zink Co. LLC, John Zink Burner School Notes,
                   17.18              SUMMARY                                                                                          Tulsa, OK, Sept. 16-18, 1998.
                   In summary, troubleshooting burners in a furnace involves:                                                       6. R.D. Reed, A New Approach to Design for Radiant
                                                                                                                                       Heat Transfer in Process Work, Petroleum Engineer,
                   (1) observing the problem; (2) identifying the problem;
                                                                                                                                       August, C-7–C-10, 1950.
                   (3) determining the effect on the operation of the furnace; and
                   (4) determining the solution and the corrective action that                                                      7. Fired Heaters for General Refinery Services, API Stan-
                   should be taken to correct the problem. If there is a problem                                                       dard 560, second ed., Sept., 1995.
                   that cannot be identified and resolved, one should consult with                                                  8. E.A. Barrington, Fired Process Heaters, course notes,
                   the burner manufacturer to obtain advice on how to proceed.                                                         1999.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                       Chapter 18
                                                                       Duct Burners
                                                                                                                                                              Peter F. Barry and Stephen L. Somers
TABLE OF CONTENTS
                                                                                                                                                  523
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              18.1            INTRODUCTION                                              all fuels suitable for the engine/turbine, as well as many that
              Linear and in-duct burners were used for many years to heat               are not, including heavy oils and waste gases.
              air in drying operations before their general use in co-                      Heat recovery for large systems is usually accomplished
              generation systems. Some of the earliest systems premixed                 by convective heat transfer in a boiler (commonly referred to
              fuel and air in an often complicated configuration that fired             as a heat recovery steam generator, also known by the acro-
              into a recirculating process air stream. The first uses in high           nym HRSG). Smaller systems utilize either a steam or hot
              temperature, depleted oxygen streams downstream of gas                    water boiler, or, alternatively, some type of air-to-air heat
              turbines in the early 1960s provided additional steam for                 exchanger or direct transfer to a process.
              process use in industrial applications and for electrical peak-               Supplementary firing is often incorporated into the
              ing plants operating steam turbines. As gas turbines have                 boiler/HRSG design as it allows increased production of
              become larger and more efficient, duct burner supplemental                steam as demanded by the process. The device that provides
              heat input has increased correspondingly.                                 the supplementary firing is a duct burner, so called because
                                                                                        it is installed in the duct connecting the engine/turbine exhaust
                 Linear burners are applied where it is desired to spread heat
                                                                                        to the heat recovery device, or just downstream of a section
              uniformly across a duct, whether in ambient air or oxygen-
                                                                                        of the HRSG superheater (see Figures 18.4 and 18.5). Oxygen
              depleted streams. In-duct designs are more commonly used
                                                                                        required for the combustion process is provided by the turbine
              in fluidized bed boilers and small cogeneration systems.
                                                                                        exhaust gas (TEG).
                   Duct Burners
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---                                                                                  525
                                                                       • Drying applications: where isolation of combustion            reduce or eliminate potentially corrosive condensation inside
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                         products from the work material is not required, such as      the stack. A source of ambient augmenting combustion air is
                                                                         certain paper and wallboard manufacturing operations.         often added if the stack gas oxygen concentration is low. This
                                                                                                                                       arrangement may also provide a corollary emissions reduction
              18.2.3 Fume Incineration                                                                                                 benefit (see Section 18.2.3).
              Burners are mounted inside ducts or stacks carrying exhaust
              streams primarily composed of air with varying concentrations of
              organic contaminants. Undesirable components are destroyed,                                                              18.3           BURNER TECHNOLOGY
              both by an increase in the gas stream bulk temperature and
              through contact with localized high temperatures created in                                                              18.3.1 In-duct or Inline Configuration
              the flame envelope. Particular advantages of the duct burner                                                             Register or axial flow burner designs are adapted for
              include higher thermal efficiency as no outside air is used,                                                             installation inside a duct. The burner head is oriented such that
              lower operating cost as no blower is required, and improved                                                              the flame will be parallel to and co-flow with the air or TEG
              destruction efficiency resulting from distribution of the flame                                                          stream, and the fuel supply piping is fed through the duct side
              across the duct section with grid-type design.                                                                           wall, turning 90° as it enters the burner (see Figure 18.7).
                                                                                                                                       Depending on the total firing rate and duct size, one burner
              18.2.4 Stack Gas Reheat                                                                                                  may be sufficient, or several may be arrayed across the duct
              Mounted at or near the base of a stack, heat added by a duct                                                             cross-section. Inline burners typically require more air/TEG
              burner will increase natural draft, possibly eliminating a need                                                          pressure drop, produce longer flames, and offer a less uniform
              for induced draft or eductor fans. In streams containing a large                                                         heat distribution than grid-type. On the other hand, they are
              concentration of water vapor, the additional heat can also                                                               more flexible in burning liquid fuels, can be more easily
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FIGURE 18.3 Combination (oil and gas) fired duct burners at Dahbol, India. (Courtesy of Enron.)
                                                                  modified to incorporate augmenting air, and sometimes                     18.3.3 Grid Configuration (Liquid Firing)
                                                                  represent a less expensive option for high firing rates in small
                                                                  ducts without sufficient room for grid elements.                          As with the gas-fired arrangement, a series of linear burner
                                                                                                                                            elements comprised of a pipe and flame holders (wings)
                                                                                                                                            span the duct width. However, instead of multiple discharge
                                                                  18.3.2 Grid Configuration (Gas Firing)
                                                                                                                                            points along the pipe length, liquid fuel is injected down-
                                                                  A series of linear burner elements that span the duct width are           stream of the element through the duct sidewall, and directed
                                                                  spaced at vertical intervals to form a grid. Each element is              parallel to the flame holders (cross-flow to the TEG). This
                                                                  comprised of a fuel manifold pipe fitted with a series of flame
                                                                                                                                            configuration utilizes the duct cross-section for containment
                                                                  holders (or wings) along its length. Fuel is fed into one end of
                                                                                                                                            of the flame length, thus allowing a shorter distance between
                                                                  the manifold pipe and discharged through discrete multi-port
                                                                                                                                            the burner and downstream boiler tubes (see Figure 18.10).
                                                                  tips attached at intervals along its length, or through holes
                                                                                                                                            The injection device, referred to as a side-fired oil gun, uti-
                                                                  drilled directly into the pipe. Gas ports are positioned such
                                                                  that fuel is injected in co-flow with the TEG. The wings meter            lizes a mechanical nozzle supplemented by low-pressure air
                                                                  the TEG or air flow into the flame zone, thus developing eddy             (2 to 8 psi) to break the liquid fuel into small droplets (atom-
                                                                  currents that anchor ignition. They also shield the flame in              ization) that will vaporize and readily burn. Although most
                                                                  order to maintain suitably high flame temperatures, thereby               commonly used for light fuels, this arrangement is also suit-
                                                                  preventing excessive flame cooling that might cause high                  able for some heavier fuels where the viscosity can be low-
                                                                  emissions. Parts exposed to TEG and the flame zone are typi-              ered by heating. In some cases, high pressure steam may be
                                                                  cally of high-temperature alloy construction (see Figures 18.8            required, instead of low-pressure air, for adequate atomiza-
                                                                  and 18.9).                                                                tion of heavy fuels.
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                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 18.7 An inline burner.
                                                                    18.3.4.1.4 Liquid Fuels                                                is provided by the residual in the turbine exhaust gas instead of
                                                                    In cogeneration applications, duct burners are commonly                from a new, external source of air. Because this gas is already
                                                                    fired with the same fuel as the turbine, which is typically            at an elevated temperature, duct burner thermal efficiency can
                                                                    limited to light oils such as No. 2 or naphtha. For other              exceed 90% as very little heat is required to raise the
                                                                    applications, specially modified side-fired guns or an inline          combustion products temperature to the final fired temperature.
                                                                    design can be employed to burn heavier oils such as No. 6              TEG contains less oxygen than fresh air, typically between 11
                                                                    and some waste fuels.                                                  and 16% by volume, which, in conjunction with the TEG
                                                                                                                                           temperature, will have a significant effect on the combustion
                                                                    18.3.4.2 Combustion Air and Turbine Exhaust Gas                        process. As the oxygen concentration and TEG temperature
                                                                    18.3.4.2.1 Temperature and Composition                                 become lower, emissions of CO and unburned hydrocarbons
                                                                    When used for supplementary firing in HRSG cogeneration                occur more readily, eventually progressing to combustion
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                    applications, the oxygen required for the combustion reaction          instability. The effect of low oxygen concentration can be
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              partially offset by higher temperatures; conversely, higher                Grid burners are designed to distribute heat uniformly
              oxygen concentrations will partially offset the detrimental             across the HRSG or boiler tube bank, and thus require a
              effects of low TEG temperatures. This relationship is depicted          reasonably uniform distribution of TEG or air to supply the
              graphically in Figure 18.11. Duct burner emissions are                  fuel with oxygen. Inadequate distribution causes localized
              discussed in more detail elsewhere in this chapter.                     areas of low velocity, resulting in poor flame definition along
                                                                                      with high emissions of CO and unburned hydrocarbons. Tur-
              18.3.4.2.2 Turbine Power Augmentation                                   bine exhaust flow patterns, combined with rapidly diverging
              During periods of high electrical demand, various tech-                 downstream duct geometry, will almost always produce an
              niques are employed to increase power output, and most will             unsatisfactory result that must be corrected by means of a
              increase the concentration of water vapor in TEG. The corre-            straightening device. Likewise, the manner in which ambient
              sponding effect is a reduction in TEG oxygen concentration              air is introduced into a duct can also result in flow mal-
              and temperature with consequent effects on duct burner                  distribution, requiring some level of correction. Selection and
              combustion. Depending on the amount of water vapor used,                design of flow-straightening devices are discussed elsewhere
              CO emissions may simply rise, or in extreme cases the flame             in this chapter (see Figure 18.12).
              may become unstable. The former effect can be addressed                    In instances where bulk TEG or air velocity is lower than
              with an allowance in the facility operating permit or by                required for proper burner operation, flow straightening alone
              increasing the amount of CO catalyst in systems so                      is not sufficient and it becomes necessary to restrict a portion
              equipped. The latter requires air augmentation, a process               of the duct cross-section at or near the plane of the burner
              whereby fresh air is injected at a rate sufficient to raise the         elements, thereby increasing the “local” velocity across
              TEG oxygen concentration to a suitable level.                           flame holders. This restriction, also referred to as blockage,
                                                                                      commonly consists of unfired runners or similar shapes uni-
              18.3.4.2.3 Velocity and Distribution                                    formly distributed between the firing runners to reduce the
              Regardless of whether TEG or fresh air is used, velocity across         open flow area.
              flame stabilizers must be sufficient to promote mixing of the              Inline or register burners inject fuel in only a few (or
              fuel and oxygen, but not so great as to prevent the flame from          possibly only one) positions inside the duct, and can therefore
              anchoring to the burner. Grid-type configurations can generally         be positioned in an area of favorable flow conditions, assum-
              operate at velocities ranging from 20 to 90 fps (feet per               ing the flow profile is known. On the other hand, downstream
              second) and pressure drops of less than 0.5 in. water column.           heat distribution is less uniform than with grid designs, and
              Inline or register burners typically require velocities of 100 to       flames may be longer. As with grid-type burners, in some
              150 fps with a pressure drop of 2 to 6 in. water column.
                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                      cases it may be necessary to block portions of the duct at or
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                                                                                  either upstream of the first tube bank or between the first tube
                                                                                  bank and (upstream of) the burner. Although not very com-
                                                                                  mon, some HRSG design configurations utilize two stages of
                                                                                  duct burners with heat transfer tube banks in between, and a
                                                                                  flow-straightening device upstream of the first burner. Such
                                                                                  an arrangement is, however, problematic because the TEG
                                                                                  downstream of the first-stage burner may not have the
                                                                                  required combination of oxygen and temperature properties
                                                                                  required for proper operation of the second-stage burner.
                                                                                     Perforated plates that extend across the entire duct cross-
                                                                                  section are most commonly used for flow straightening
                                                                                  because experience has shown they are less prone to mechan-
                                                                                  ical failure than vane-type devices, even though they require
                                                                                  a relatively high pressure drop. The pattern and size of
                                                                                  perforations can be varied to achieve the desired distribution.
                                                                                  Vanes can produce comparable results with significantly less
                                                                                  pressure loss but require substantial structural reinforcement
                                                                                  to withstand the flow-induced vibration inherent in HRSG
                                                                                  systems. Regardless of the method used, flow pattern com-
              FIGURE 18.13 Comparison of flow variation with and                  plexity — particularly in TEG applications — usually dictates
              without straightening device.
                                                                                  the use of either physical or computational fluid dynamic
                                                                                  (CFD) modeling for design optimization.
FIGURE 18.15 Sample result of CFD modeling performed on an HRSG inlet duct.
                   18.3.4.5 Wing Geometry: Variations                                                           from the turbulence in the exhaust gas duct. The low-pressure
                   18.3.4.5.1 Flameholders                                                                      zone pulls the flame back onto the manifold. This low-cost
                   Design of the flame stabilizer, or flameholder, is critical to                               runner may overheat the manifold, causing distortion of the
                   the success of supplementary firing. Effective emission                                      metallic parts. Emissions are unpredictable with changing
                   control requires that the TEG be metered into the flame                                      geometry and CO is usually much higher than the current
                   zone in the required ratio to create a combustible mixture                                   typically permitted levels of under 0.1 lb/MMBtu.
                   and ensure that the combustion products do not escape
                   before the reactions are completed. In response to new                                       18.3.4.5.3 Low Emissions Design
                   turbine and HRSG design requirements, each duct burner                                       Modifications to the design for lower emission performance
                   manufacturer has proprietary designs developed to provide                                    generally have a larger cross-section in the plane normal to
                   the desired results.                                                                         the exhaust flow. The increased blocked area protects the fuel
                                                                                                                injection zone and increases residence time. The NOx is
                   18.3.4.5.2 Basic Flameholder                                                                 reduced by the oxygen-depleted TEG and the CO/UHC is
                   In its basic form, a fuel injection system and a zone for                                    reduced by the delayed quenching. The correct flow rate of
                   mixing with oxidant are all that is required for combustion.                                 TEG is metered through the orifices in the flameholder, and
                   For application to supplemental firing, the simple design                                    the fuel injection velocity and direction are designed to
                   shown in Figure 18.16 consists of an internal manifold or                                    enhance combustion efficiency. The flame zone is pushed
                   “runner,” usually an alloy pipe with fuel injection orifices                                 away from the internal manifold (“runner” pipe), creating
                   spaced along the length. A bluff body plate, with or without                                 space for cooling TEG to bathe the runner and flameholder
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   perforations, is attached to the pipe to protect the flame zone                              and enhance equipment life.
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NO + HO 2 → NO 2 + OH
                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                               the turbine exhaust NO to NO2.
                                                                                                  There are two principle mechanisms in which nitrogen
                                                                                               oxides are formed.
                                                                                                     1. Thermal NOx: The primary method is thermal oxidation
                                                                                                        of atmospheric nitrogen in the TEG. NOx formed in this
                                                                                                        way is called thermal NOx. As the temperature increases
                                                                                                        in the combustion zone and surrounding environment,
                                                                                                        increased amounts of N2 from the TEG are converted to
                                                                                                        NO. Thermal NOx formation is most predominant in the
                                                                                                        peak temperature zones of the flame.
                                                                                                     1. Fuel-bound nitrogen NOx: The secondary method utilized
                                                                                                        to form NOx is the reaction of oxygen with chemically
                                                                                                        bound nitrogen compounds contained in the fuel. NOx
                                                                                                        formed in this manner is called fuel NOx. Large amounts
                                                                                                        of NOx can be formed by fuels that contain molecularly
                                                                                                        bound nitrogen (e.g., amines and mercaptans). If a gas-
                                                                                                        eous fuel such as natural gas contains diluent N2, it simply
                                                                                                        behaves as atmospheric nitrogen and will form NOx only
                                                                                                        if it disassociates in the high-temperature areas. However,
                   FIGURE 18.18 Flow patterns around flame stabilizer.
                                                                                                        if the gaseous fuel contains, for example, ammonia (NH3),
                                                                                                        this nitrogen is considered bound. In the low concentra-
                                                                                                        tions typically found in gaseous fuels, the conversion to
                   during the combustion process, but only nitric oxide (NO)
                                                                                                        NOx is close to 100% and can have a major impact on
                   and nitrogen dioxide (NO2) occur in significant quantities.                          NOx emissions.
                   NO is colorless and NO2 has a reddish-brown color.
                                                                                                  Bound nitrogen in liquid fuel is contained in the long
                      In the elevated temperatures found in the flame zone in a                carbon chain molecules. Distillate oil is the most common oil
                   typical HRSG turbine exhaust duct, NO formation is favored                  fired in duct burners as a liquid fuel. The fuel-bound nitrogen
                   almost exclusively over NO2 formation. Turbine exhaust NOx                  content is usually low, in the range of 0.05 weight percent.
                   is typically 95% NO and 5% NO2. In the high-temperature                     Conversion to NOx is believed to be 80 to 90%. For No. 6
                   zone, NO2 dissociates to NO by the mechanism of:                            oil, containing 0.30 weight percent nitrogen, the conversion
                                                                                               rate to NOx would be about 50%. Other heavy waste oils or
                                                                                               waste gases with high concentrations of various nitrogen com-
                                              NO 2 + O + Heat → NO + O 2
                                                                                               pounds may add relatively high emissions. Consequently, fuel
                                                                                               NOx can be a major source of nitrogen oxides and may
                      However, after the TEG exits the hot zone and enters the                 predominate over thermal NOx.
                   cooling zone at the boiler tubes, reaction slows and the NO2 is                The impact of temperature on NOx production in duct
                   essentially fixed. At the stack outlet, the entrained NO is slowly          burners is not as pronounced as in, for example, fired heaters
                   oxidized to NO2 through a complex photochemical reaction                    or package boilers. One reason is that both the bulk fired
                   with atmospheric oxygen. The plume will be colorless unless                 temperature and the adiabatic flame temperature are lower
                   the NO2 increases to about 15 ppm, at which time a yellowish                than in fired process equipment.
                   tint is visible. Care must be taken in duct burner design because              When used to provide supplementary firing of turbine
                   NO can also be oxidized to NO2 in the immediate post-flame                  exhaust, duct burners are generally considered to be “low NOx”
                   region by reactions with hydroperoxyl radicals:                             burners. Because the turbine exhaust contains reduced oxygen,
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              the peak flame temperature is reduced and the reaction speed                                              control or operation at partial load, but the primary concern is
              for O2 and N+ to form NOx is thus lowered. The burners also                                               the sometimes large CO contribution from supplementary fir-
              fire into much lower average bulk temperatures — usually                                                  ing. The same low-temperature combustion environment that
              less than 1600°F (870°C) — than process burners or fired                                                  suppresses NOx formation is obviously unfavorable for com-
              boilers. The high-temperature zones in the duct burner flames                                             plete oxidation of CO to CO2. Increased CO is produced
              are smaller due to large amounts of flame quenching by the                                                when fuels are combusted under fuel-rich conditions or when
              excess TEG. Finally, mixing is rapid and therefore retention                                              a flame is quenched before complete burnout. These condi-
              time in the high-temperature zone is very brief.                                                          tions (see Figure 18.19) can occur if there is poor distribution
                 The same duct burner, when used to heat atmospheric air,                                               of TEG to the duct burner, which causes some burner ele-
              is no longer considered “low NOx,” because the peak flame                                                 ments to fire fuel-rich and others to fire fuel-lean, depending
              temperature approaches the adiabatic flame temperature in air.                                            on the efficiency of the TEG distribution device. The factors
                 Clearly, operating conditions have a major impact on NO                                                affecting CO emissions include:
              formation during combustion. To properly assess NOx pro-
              duction levels, the overall operating regime must be consid-                                                     • turbine exhaust gas distribution
              ered, including TEG composition, fuel composition, duct                                                          • low TEG approach temperature
              firing temperature, and TEG flow distribution.                                                                   • low TEG oxygen content
                                                                                                                               • flame quench on “cold” screen tubes
              18.3.4.6.2 Visible Plumes                                                                                        • improperly designed flame holders that allow flame
              Stack plumes are caused by moisture and impurities in the                                                          quench by relatively cold TEG
              exhaust. Emitted NO is colorless and odorless, and NO2 is                                                        • steam or water injection
              brownish in color. If the NO2 level in the flue gas exceeds
              about 15 to 20 ppm, the plume will take on a brownish haze.                                                 Unburned hydrocarbons (UHCs): In the same fashion
              NOx also reacts with water vapor to form nitrous and nitric                                               as carbon monoxide generation, unburned hydrocarbons
              acids. Sulfur in the fuel may oxidize to SO3 and condense in                                              (UHCs) are formed in the exhaust gas when fuel is burned
              the stack effluent, causing a more persistent white plume                                                 without sufficient oxygen, or if the flame is quenched before
                                                                                                                        combustion is complete. UHCs can consist of hydrocarbons
              18.3.4.6.3 CO, VOC, SOx, and Particulates
                                                                                                                        (defined as any carbon-hydrogen molecule) of one carbon or
              Carbon monoxide: Carbon monoxide (CO), a product of
                                                                                                                        multiple carbon atoms. The multiple carbon molecules are
              incomplete combustion, has become a major permitting concern
                                                                                                                        often referred to as long-chain hydrocarbons. Unburned
              in gas turbine-based cogeneration plants. Generally, CO emis-
                                                                                                                        hydrocarbons are generally classified in two groups:
              sions from modern industrial and aero-derivative gas turbines
              are very low, in the range of a few parts per million (ppm). There                                             1. unburned hydrocarbons as methane
              are occasional situations in which CO emissions from the tur-                                                  2. non-methane hydrocarbons or volatile organic compounds
              bine increase due to high rates of water injection for NOx
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                (VOCs)
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                   The reason for the distinction and greater concern for VOCs is                                     TABLE 18.1 Typical NOx and CO Emissions From Duct
                   that longer chain hydrocarbons play a greater role in the forma-                                   Burners
                   tion of photochemical smog. VOCs are usually defined as mole-                                                                                   NOx                               CO
                   cules of two carbons or greater, and are sometimes considered                                               Gas                          (lb/106 Btu fired)                (lb/106 Btu fired)
                   to be three carbons or greater. These definitions are set by local                                 Natural gas                                   0.1                              0.08
                   air quality control boards and vary across the United States.                                      Hydrogen gas                                  0.15                             0.00
                                                                                                                      Refinery gas                                0.1–0.15                        0.03–0.08
                     UHCs can only be eliminated by correct combustion of the                                         Plant gas                                     0.11                          0.04–0.01
                   fuel. However, hydrocarbon compounds will always be                                                Flexicoker gas                                0.08                             0.01
                   present in trace quantities, regardless of how the HRSG sys-                                       Blast furnace gas                          0.03–0.05                           0.12
                                                                                                                      Producer gas                               0.05–0.1                            0.08
                   tem is operated.                                                                                   Syn fuels                                  0.08–0.12                           0.08
                      Sulfur dioxide: Sulfur dioxide (SO2) is a colorless gas                                         Propane                                       0.14                             0.14
                                                                                                                      Butane                                        0.14                             0.14
                   that has a characteristic smell in concentrations as low as
                   1 ppm. SO2 is formed when sulfur (S) in the fuel combines                                          Note: NOx emissions from butane and propane can be modified by direct
                                                                                                                      steam injection into a gas or burner flame. CO emissions are highly depen-
                   with oxygen (O2) in the TEG. If oxygen is present (from
                                                                                                                      dent on TEG approach temperature and HRSG fired temperature.
                   excess of combustion) and the temperature is correct, the
                   sulfur will further combine and be converted to sulfur trioxide
                   (SO3). These oxides of sulfur are collectively known as SOx.                                                 sometimes expose parts to excessively high temperatures,
                      Except for sulfur compounds present in the incoming par-                                                  which results in wing warpage and oxidation failure.
                   ticulate matter, all of the sulfur contained in the fuel is con-                                         3. Fuel quality/composition: Some refinery fuels or waste
                   verted to SO2 or SO3. Sulfur dioxide will pass through the                                                  fuels contain unsaturated components and/or liquid carry-
                   boiler system to eventually form the familiar “acid rain”                                                   over. Eventually, these compounds will form solids in the
                   unless a gas-side scrubbing plant is installed. Sulfur trioxide                                             runner pipes or directly in tips, which results in plugging.
                   can, in the cooler stages of the gas path, combine with mois-
                   ture in the exhaust gas to form sulfuric acid (H2SO4), which                                         The following are some items to look for when operational
                   is highly corrosive and will be deposited in ducts and the                                         problems are encountered:
                   economizer if the exhaust gas is below condensing tempera-
                   tures. Natural gas fuels are fortunately very low in sulfur and                                           • Plugged gas ports, which are evidenced by gaps in the
                                                                                                                               flame or high fuel pressure: Gas ports may simply
                   do not usually cause a problem. However, some oil fuels and
                                                                                                                               consist of holes drilled into the element manifold pipe,
                   plant gases can be troublesome in this respect.
                                                                                                                               or they may be located in individual removable tips.
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                      Particulate matter (PM): Particulate emissions are                                                       Designs of the former type may be re-drilled or else the
                   formed from three main sources: ash contained in liquid fuels,                                              entire manifold pipe must be replaced. Discrete tips can
                   unburned carbon in gas or oil, and SO3. The total amount of                                                 be replaced individually as required.
                   particulate is often called TSP (total suspended particulate).                                            • Warped flame holders (wings): Some warping is normal
                   There is concern for the smaller sized portion of the TSP, as                                               and will not affect flame quality, but excessive
                   this stays suspended in air for a longer period of time. The                                                deformation such as “curling” around the gas ports will
                   PM-10 is the portion of the total particulate matter that is less                                           degrade the combustion and emissions performance.
                   than 10 microns (1 × 10–6 m) in size. Particles smaller than                                                Most grid-type burner designs permit replacement of
                   PM-10 are on the order of smoke.                                                                            individual flameholder segments.
                      Typical NOx and CO emissions for various fuels are shown                                               • Oxidation of flame holders (wings) or portions of flame
                   in Table 18.1.                                                                                              holders: If more than one-third of the flameholder is
                                                                                                                               missing, it is a good candidate for replacement. Fabricated
                                                                                                                               and cast designs are equally prone to oxidation over time.
                   18.3.5 Maintenance
                                                                                                                               Most grid-type burner designs permit replacement of
                                            1. Normal wear and tear: If nothing has been replaced in                           individual flameholder segments.
                                               the past 5 years and the burner (or turbine/HRSG set) is                      • Severe sagging of runner pipes (grid design only): If the
                                               operated fairly continuously, it is likely that some tips and                   manifold pipe is no longer supported at both ends, it
                                               wings may require replacement.                                                  should be replaced. Beyond that relatively extreme condi-
                                            2. Damage due to misuse, system upsets or poor mainte-                             tion, sagging at midspan in excess of approximately 2 to
                                               nance practices: Older systems designed without suffi-                          3 in. (5 to 7 cm) should be corrected by runner replace-
                                               cient safety interlocks (TEG trip, high temperature)                            ment and/or installation of an auxiliary support.
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              safety devices, and interconnecting piping mounted on a                    items that have demonstrated compliance with UL standards.
              structural steel rack or skid. A properly designed fuel train              Combustion system designers will frequently require the use
              will include, at a minimum, the following:                                 of UL-approved components in burner management systems
                                                                                         and fuel trains. Approval can also be obtained for custom-
                      • at least one manual block valve
                                                                                         designed control systems, although this requirement gener-
                      • two automatic block valves in series
                      • one vent valve between the automatic block valves (gas           ally applies only to a few large cities and a few regions in the
                        firing only)                                                     United States.
                      • flow control valve
                      • high and low fuel pressure switches                              18.3.7.4 ANSI B31.1 and B31.3 (American National
                      • two pressure gages, one each at the fuel inlet and outlet                 Standards Institute)
                                                                                         These codes address piping design and construction. B31.1 is
                Depending on the custom and operating requirements at a
                                                                                         incorporated in the NFPA 8506 guideline, while B31.3 is
              particular plant, pressure regulation, flow measurement
                                                                                         generally used only for refining/petrochemical applications.
              devices, and pressure transmitters can also be incorporated.
              See Figures 18.20 through 18.27 for typical duct burner fuel
                                                                                         18.3.7.5 Others
              system piping arrangements.
                                                                                         The following may also apply to duct burner system designs,
                                                                                         depending on the country where equipment will be operated.
              18.3.7 Design Guidelines and Codes
              18.3.7.1 NFPA 8506 (National Fire Protection                                      •    National Electrical Code (NEC)
                       Association)                                                             •    Canadian Standards Association (CSA)
              First issued in 1995, this standard has become the de facto                       •    International Electrotechnical Commission (IEC)
              guideline for heat recovery steam generators in the United                        •    European Committee for Electrotechnical Standardization
              States and many other countries that have not developed their                          (CENELEC)
                                                                   FIGURE 18.20 Typical main gas fuel train: single element or multiple elements firing simultaneously.
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 18.21 Typical main gas fuel train: multiple elements with individual firing capability.
FIGURE 18.22 Typical pilot gas train: single element or multiple elements firing simultaneously.
FIGURE 18.23 Typical pilot gas train: multiple elements with individual firing capability.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 18.27 Typical pilot oil train: multiple elements.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Chapter 19
                                                                                                                                                                                                                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Boiler Burners
                                                                                                         Lev Tsirulnikov, John Guarco, and Timothy Webster
TABLE OF CONTENTS
                                                                                                                            547
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              19.1            BOILER-SPECIFIC BURNER                                                                    to be CO < 1000 ppm and opacity < 6%. The opacity numbers
                              REQUIREMENTS                                                                              were measured using the Ringelman or Baharac methods.
              The requirements for furnaces and burners of gas/oil-fired                                                   In some countries, the burner performance was evaluated
              utilities and industrial boilers are based on long-term opera-                                            specific to each boiler design. For example, in Russia, all indus-
              tional experience and comprehensive testing of different new                                              trial and relatively small utility boilers with steam flow capac-
              designs and retrofits of boiler equipment. These requirements                                             ities of up to 220,000 lb/hr (100,000 kg/hr) with preheated air
              are changing with the times. Figure 19.1 shows typical utility                                            were designed with up to six burners, each with rated heat
              boilers, and a typical single-burner industrial boiler is shown                                           inputs of up to 170 × 106 Btu/hr (50 MWt). Larger utility boilers
              in Figure 19.2.                                                                                           having capacities from 440,000 to 1,800,000 lb/hr (200,000 to
                 Prior to the establishment of NOx emission rate control                                                820,000 kg/hr) superheated steam flow were designed with up
              requirements in the United States and other countries, perfor-                                            to eight burners, each with rated heat inputs of up to 400 × 106
              mance data for furnace and burner design of utility and indus-                                            Btu/hr (120 MWt). All ICP concentrations in the flue gas,
              trial boilers usually had to match the following common                                                   including both CO and H2, were required to be less than
              accepted requirements:                                                                                    1000 ppm at O2 < 1%. To obtain lower ICP values, burner air
                                                                                                                        velocities were increased to at least 160 ft/s (50 m/s), with
                   1. high reliability during long-term operation                                                       300 ft/s (90 m/s) preferred.
                   2. simplicity and reliability of gas and oil fuel ignition                                              Until recently, there were two operational parameters used
                   3. high flame stability while firing either gas or oil fuels,                                        to regulate the combustion processes in boilers to achieve the
                      even at full turndown                                                                             required operational characteristics: the variation of fuel and
                   4. provision for designed superheated and reheated steam                                             air input, and the regulation of reheated/superheated steam
                      temperatures while firing either gas or oil fuels at full
                                                                                                                        temperature. The many years of operating this way resulted
                      turndown during long-term operation
                                                                                                                        in significant difficulties, including:
                   5. high thermal efficiency and low concentrations of incom-
                      plete combustion products (ICPs) while firing either gas                                               1. reduction in reliability due to frequent failures of high-
                      or oil fuels using comparatively low excess air, even at                                                  temperature heat exchange surfaces
                      full turndown                                                                                          2. loss of reheated/superheated steam temperature during
                   6. low combustion air system pressure drop, especially the                                                   full turndown operation
                      burner register draft loss                                                                             3. overfiring of the unit
                   7. simplicity of burner/windbox maintenance and adjustment
                                                                                                                        Experience has shown that controlling the combustion pro-
                   8. ease of automatic mode operation and fuel changeover
                                                                                                                        cesses to allow maintenance of key operational parameters
                      between gas and oil
                   9. provision of restricted flame dimensions to match the
                                                                                                                        within a given range, including superheated and reheated
                      dimensions of an existing or newly designed furnace                                               steam temperatures, best solved these problems. Combustion
                  10. allowing operation with no flame impingement on either                                            control yielded the most efficient and reliable boiler opera-
                      the target or side walls of the furnace that promoted reli-                                       tion, independent of load, fuel type, or other conditions.
                      ability of all high-temperature heat exchange surfaces —
                      especially water-wall, superheater, and reheater tubes                                            19.1.1 Conventional Burner Technology
                 To match this requirement for any boiler application, it was                                                  for Boilers
              necessary to carefully review how a retrofit burner design                                                Older generations of burners, such as the register, or swirl
              should be implemented for each particular retrofit furnace.                                               burner shown in Figure 19.3, were considered very reliable
              Prior to the establishment of NOx emission rate control                                                   and were the staple of the industry for many years. They con-
              requirements, burner performance was typically evaluated as                                               sisted of several main parts, including a diffuser, air doors, a
              a function of ICP concentration levels at low excess air con-                                             throat ring, and a fuel supply system. They operated on a
              ditions. While firing either oil or gas fuels in preheated air,                                           principle of precisely controlling the swirl of the burner by
              optimal low excess air burner designs provided carbon mon-                                                adjusting the air doors, either open or closed. In an ideal situ-
              oxide (CO), hydrogen (H2), and unburned hydrocarbon                                                       ation, each burner in a multi-burner windbox should receive
              (UHC) concentrations of less than 200 ppm at excess oxygen                                                an equal amount of air mass flow. However, in the real world,
              (O2) levels ranging between 0.2 and 0.6% at full load, as well                                            the burner-to-burner mass flow distribution varied up to
              as O2 < 1% over a 3:1 turndown range. In many European                                                    ±30% of the average mass flow. The typical compensation for
              countries (e.g., Germany, France, Italy, and Belgium), the low                                            deviations in mass flow was to close down on the air doors of
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              excess air gas/oil burners acceptable condition was considered                                            the burners receiving too much air. This in turn affected the
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FIGURE 19.1 Typical utility boilers. (Courtesy of Florida Power & Light)
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                   FIGURE 19.2 Typical single-burner industrial boiler. (Courtesy of North Carolina Baptist Hospital)
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              the effect of burners on combustion processes. The chemical                         range. The luminescence of an oil flame is significantly higher
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                                                                                           50
                                                                                           45                   Natural Gas
                                                                                                                #6 Oil
                                                                                           40
                                                                                           35
                                                                       Flame Length, ft.
                                                                                           30
                                                                                           25
                                                                                           20
                                                                                           15
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                           10
                                                                                            5
                                                                                            0
                                                                                                0   50   100      150        200      250                     300            350
                                                                                                           Burner Heat Input, M M Btu/hr
                   than that of a gas flame (see Chapter 3). Assuming all other                                             a primary air swirl defined by the fixed blade axial swirler.
                   conditions are the same, furnace heat absorption is less and                                             The swirler determines the size and strength of the recircu-
                   the furnace exit gas temperature is higher while firing gas.                                             lation zone. A tertiary air stream flows between the venturi
                   Higher exit gas temperatures create conditions for more                                                  base and the burner throat quarl. Tertiary air separates some
                   intense thermal NOx generation in all industrial boilers and                                             of the combustion air from the main flame, effectively staging
                   most utility applications for 50 to 150 MWe power units. On                                              combustion and reducing NOx. For natural gas firing, fuel
                   larger capacity utility boilers, the NOx is higher while firing                                          can be introduced through internal or external pokers or gas
                   gas than while firing oil. A more detailed explanation will be                                           rings, and can also be injected through a central gas pipe with
                   given in Section 19.3.2.3. Typically, the NOx while firing oil                                           multiple orifices at the furnace end. A single conventional
                   is higher due to fuel-bound nitrogen (Nf). Fuel-bound nitrogen                                           atomized burner (oil gun), located along the burner centerline,
                   usually ranges from 0.2 to 0.45% wt, but can be as high as                                               typically supplies the oil. The oil gun may use dual fluid,
                   0.7 to 1% in No. 6 oil. Because the effectiveness of various                                             mechanical, or rotary cup atomization.
                   NOx reduction methods is different with gas and oil firing, it
                   makes sense — in principle — to implement different NOx                                                  19.1.3 Staged Burner Design Philosophy
                   reduction methods for each fuel. However, doing so would                                                 Most of today’s low-NOx burner designs implement staged
                   complicate boiler operations so much that such designs would                                             combustion principles as an effective way to reduce NOx.
                   not be acceptable to the customer. Attempts to implement                                                 The staged burner should also be designed to provide the
                   NOx reduction methods for both fuels create situations where                                             maximum degree of flexibility in achieving high burner turn-
                   different methods are selected for the same boiler design                                                down, low NOx, and improved flame shaping capability. The
                   installed at different power plants. The method chosen                                                   design basis of a staged burner is to develop a stratified flame
                   depends on many operational parameters, including annual                                                 structure with specific sections of the flame operating fuel-
                   consumption and seasonal distribution of each fuel, local                                                rich and other sections operating fuel-lean. The burner design
                   climate, annual average load, levels and frequency of load                                               thus provides for the internal staging of the flame to achieve
                   peaks, and stack height.                                                                                 NOx reductions while maintaining a stable flame.
                      Today’s low-NOx burner relies on control of the combustion                                               Controlling combustion stoichiometry to fuel-rich condi-
                   air in several component streams, as well as the controlled                                              tions inhibits NOx production, especially in the burner’s flame
                   injection of fuel into the air streams at selected points for                                            front. Operating the flame fuel-rich also reduces the burner
                   maintaining stable, attached flames with low NOx generation.                                             NOx dependence on the burner zone heat release (BZHR)
                   Typical venturi-style, low-NOx burners are shown in Figures                                              rate, which is discussed in Section 19.2.1. This is especially
                   19.5 and 19.6. Primary and secondary air enters the burner                                               important in applications where very high BZHR near full
                   radially through the venturi and exits the burner axially with                                           load can result in an exponential increase in NOx.
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                                                                                                                                                COOLER OXYGEN RICH
                                                                                                                                                ZONE REDUCES
                                                                                                                         FUEL SPRAY             THERMAL NOx
                                             OIL INLET
                                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   19.1.5 Effects of Burner Retrofits on Boiler
                          Performance
                   Low-NOx burners have different flame characteristics from                     19.2           BOILER DESIGN IMPACTS ON
                   their predecessors, the low excess air burners. Therefore,                                   NOx EMISSIONS CORRELATIONS
                   there exists the probability that the differences will affect                 The two major mechanisms for the formation of NOx are:
                   boiler performance. Performance changes would only occur                      (1) NOx formed by the oxidation of Nf (fuel NOx) and
                   by an alteration of the heat absorption pattern in the furnace,               (2) the thermal fixation of atmospheric nitrogen (thermal
                   thus affecting the amount of heat going to the boiler back-                   NOx). Separate NOx correlations have been developed for
                   pass. The overall furnace heat absorption could either                        each. These correlations can be combined to predict the total
                   increase or decrease, due to factors such as flame distance to                NOx emissions for a selected burner design based on the fuel
                   walls, flame temperature, flame emissivity, and characteris-                  nitrogen content and boiler design.
                   tics of ash deposits on furnace walls. The impact on boiler                      The conversion of Nf to NOx is dependent on oxygen
                   performance will vary by unit and by fuel. In some cases,                     availability and Nf content. Thus, for a given burner system
                   there will be no impact; but in most cases, there will be either              at constant excess air, the key variable controlling fuel NOx
                   a positive or negative impact experienced. Historically, how-                 formation is Nf content. Previous studies have shown that Nf
                   ever, there has been no net effect on boiler performance that                 conversion efficiency is inversely proportional to the nitrogen
                   would be considered extreme. Atomizer tip design can drasti-                  content of the fuel. High conversion efficiencies are observed
                   cally impact boiler performance, but total boiler performance                 with low Nf, and low efficiencies are seen with high Nf.
                   is always a balancing act between key variables such as NOx
                   and water wall temperatures.
                                                                                                 19.2.1 Boiler Design
                      To assess the impact on boiler performance, certain infor-                 Based on the strong dependency of thermal NOx on flame
                   mation is typically monitored during the testing of low-NOx                   zone temperature, thermal NOx formation for wall-fired boil-
                   burners. Important data includes superheated and reheated                     ers has been correlated with the ratio of heat input to furnace
                   steam temperatures, superheater and reheater tube surface                     size and the number of firing walls. For this correlation, the
                   temperatures, and any operational parameters that affect or                   ratio of heat input to the furnace burner zone area is defined as
                   control steam temperatures. The boiler performance variation                  the burner zone heat release (BZHR) rate. The BZHR repre-
                   resulting from a change in the overall O2 level is not consid-                sents the boiler heat release rate divided by the water-cooled
                   ered in this analysis. The actual impacts on boiler efficiencies              surface area in the burner zone (106 Btu/hr-ft2), and is a mea-
                   are relatively small, and there are many complicating factors                 sure of the “bulk furnace temperature.” The NOx created
                   such as furnace and heat recovery area cleanliness, fuel com-                 within this zone is dependent on this bulk temperature by an
                   position, sootblower availability, operational variability, etc.              exponential relationship, as discussed in previous chapters.
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                                                            FURNACE
                                                            ELEVATION
                                                            (SAME MW SIZE UNIT)
                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                            LOW EXCESS            0.55 Lb / Million BTU                 0.22 Lb / Million BTU
                                                            AIR BURNER
              The burner zone is defined as the six-sided surface bounded by                                    The correlations of Nf conversion and thermal NOx can be
              the furnace walls and imaginary horizontal planes located one                                  used to extrapolate burner NOx from one boiler to another. The
              burner row spacing above the top row and below the bottom                                      increase in NOx observed with fuel oil compared to natural
              row of burners. The area of any division walls within this vol-                                gas, which contains no nitrogen, is used to estimate fuel NOx
              ume is also included in the calculation of the BZHR. A correc-                                 for the selected burner. Nf conversion is then calculated based
              tion is made for re-radiation from any refractory on the floor,                                on the nitrogen content. The correlation of Nf conversion can
              walls, or the burner throats. An example of the effects of boiler                              then be used to project fuel NOx for fuels containing differing
              design on NOx is shown in Figure 19.8, where the same heat                                     amounts of nitrogen. Thermal NOx is determined from NOx
              input is placed in two drastically differently sized boilers.                                  with natural gas. The correlation with BZHR is used to project
                 The correlation of thermal NOx with BZHR rate has been                                      the measured thermal NOx for the selected burner from one
              developed using an extensive database of gas and oil fired                                     boiler to another. Total projected NOx emissions for the burner
              utility boilers. Figure 19.9 shows the NOx of various boilers                                  can then be determined by adding the fuel NOx and thermal
              included in the database on oil and gas, respectively. NOx of                                  NOx contributions for the fuel and boiler of interest. The
              industrial boilers with comparable degrees of NOx control                                      amount of air preheat can also have a dramatic effect on NOx,
              were found to be consistent with the BZHR rate correlations.                                   CO, and particulate emission rates, as well as on flame stability.
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FIGURE 19.9 The NOx vs. BZHR of various boilers included in the database on oil and gas, respectively.
                                                                                                              NOx Generation with Firing Natural Gas and #6 Oil (0.55 Nf)
                                                                                                                          vs. Adiabatic Fame Temperature
                                                                                                       1200
                                                                                                                                                                                     (NOx),
                                                                                                                                                                                     Natural Gas
                                                                       NOx Calculated @ O2 = 3%, ppm
                                                                                                       1000
                                                                                                                                                                                            (NOx),
                                                                                                                                                                                            #6 Oil
                                                                                                       800
                                                                                                                                                                                       Thermal
                                                                                                                                                                                       (NOx), #6 Oil
                                                                                                       600
400
                                                                                                       200
                                                                                                                                                                                   (NOx) Nf
                                                                                                         0
                                                                                                         2600          2800          3000        3200                       3400                 3600
                                                                                                                                      Temperature, F
FIGURE 19.10 NOx generation with firing natural gas and No. 6 oil (0.5% Nf) vs. adiabatic flame temperature.
                   19.2.2 Excess Air                                                                                                            increase in NOx slows down, reaches a maximum, and then
                   19.2.2.1 Theoretical Effect of Excess Air on NOx                                                                             NOx is reduced as excess air is further increased.
                   It is well-known that thermal NOx formation primarily                                                                           According to some experimental studies, no maximum is
                   depends on the flame temperature, excess air in the flame,                                                                   attained and the NOx = f(α) dependence approaches the sta-
                   and residence time. However, the flame temperature is also                                                                   bilized section of the exponential curve. A difference between
                   dependent on excess air. As shown in Figure 19.11, demon-                                                                    the two mentioned contradicting results brings different
                   strating the experimental data for natural gas combustion                                                                    approaches to optimized low-NOx combustion evaluations.
                   under regular boiler conditions, with an excess air factor α                                                                 That is why it is important to discuss the existence of the
                   value close to unity, increased excess air causes NOx to rise                                                                NOx maximum and to consider it in some detail. For sim-
                   considerably; then, as excess air is further increased, the                                                                  plicity, one can consider a natural gas (containing no bound
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                                                                                   300                                                               #6 Oil,
                                                                                                                                                     0% FGR
                                                                                   250
                                                                                                                                                  Natural Gas,
                                                                                                                                                  FGR = 14%
                                                                                   200
                                                                                                                                                   #6 Oil,
                                                                                                                                                   FGR = 14%
                                                                                   150
                                                                                   100
                                                                                         0        0.5          1          1.5                 2                  2.5              3
                                                                                                                         O2, %
              nitrogen) combustion process, as a result of which NOx is                                                     the fuel is not completely burned, indicating the need to not
              formed only from nitrogen in the combustion air. It can be                                                    only improve the combustion process but also to check the
                                                                                                                                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              seen in Figures 19.10 and 19.11 that with a deficiency of                                                     validity of the methods used to measure ICP and NOx in the
              oxidant, NOx depends more on α than on temperature; and                                                       given α range.
              when α > 1 (mostly when α > 1.2), when the rate of com-
              bustion reactions increases, the effect of temperature proves
                                                                                                                            19.2.2.2 Empirical Evidence of the Effect of
              to be the dominant one. Therefore, despite the fact that the
                                                                                                                                     Excess Air on NOx
              theoretical combustion temperature in the region of α >1
              systematically decreases with increased α, the NOx increases                                                  Detailed empirical data sets were obtained under identical
              as long as the thermal NOx formation is not made more                                                         operational conditions at approximately full (~94%) load
              difficult due to a considerable decrease in the temperature                                                   while firing natural gas and No. 6 oil (containing 0.22 to
              level. In this case, there is also a decrease in the NOx in the                                               0.32% Nf) with preheated air on the two neighboring 165-
              flue gas volume due to dilution by the excess air. When firing                                                MWe utility boilers of the TGM-94 model (~1,100,000 lb/hr or
              a fuel oil that contains Nf , it is unlikely that the nature of the                                           500,000 kg/hr superheated steam flow), installed at the same
              NOx vs. O2 curve considered above will change; but in all                                                     power plant. The furnaces were balanced draft and had air
              probability, the downward branch of the curve will be flatter.                                                in-leakage of 8 to 10%. The two boilers were almost identical
                 When comparing the well-known empirical dependency                                                         except for one difference: the first boiler was equipped with
              of the ICP component concentrations on α with the empirical                                                   21 burners, rated at ~100 × 106 Btu/hr (30 MWt) heat input
              NOx data as a function of α, confirmed with the theoretically                                                 each, having a single swirled air flow channel, and the second
              calculated dependencies on α shown in Figure 19.10, it was                                                    boiler was equipped with nine burners, rated at ~230 × 106
              found that the excess air factor α value at which furnace ICP                                                 Btu/hr (67 MWt) heat input each, having two air flow channels,
              losses virtually disappear almost coincides with the values                                                   one of which is a swirled portion consisting of ~15% of the
              of α corresponding to the NOx maximum. It follows that the                                                    total air flow. On both boilers, the burners were installed in
              NOx dependence on excess air has the form of an extreme                                                       three rows on the front wall (3 × 7 and 3 × 3, respectively). The
              function with a maximum NOx value corresponding to that                                                       boilers were equipped with an FGR system designed to supply
              α value at which virtually complete fuel combustion is                                                        up to 14% FGR flow (isolated from the air flow), supplied
              attained under the given conditions. Hence, if NOx and α                                                      directly to the furnace through slots located on the target wall,
              are determined by reliable and sufficiently accurate methods,                                                 opposite the lower burner row. The test data while firing either
              the absence of an experimentally established maximum on                                                       or both fuels, both with and without FGR implementation and
              the test curve NOx vs. O2 (or α) leads to an assumption that                                                  shown in Figures 19.11 and 19.12 for the 21- and 9-burner
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                                                                   400                                                                          #6 Oil,
                                                                                                                                                0% FGR
                                                                   350
                                                                                                                                                                  Natural Gas,
                                                                                                                                                                  FGR ~13%
                                                                   300
                                                                                                                                                                   #6 Oil,
                                                                                                                                                                   FGR ~ 13%
                                                                   250
200
150
                                                                   100
                                                                         0        0.5          1           1.5                      2                      2.5                   3
                                                                                                          O2, %
FIGURE 19.12 NOx vs. excess O2 (the TGM-94 boiler equipped with 9 burners, at ~94% load).
FIGURE 19.13 NOx vs. relative steam flow at the TGM-94 boilers (natural gas, O2 = 1.2–1.6%).
                   boilers confirm the well-known dependencies of NOx concen-                                a significant NOx difference of 100 to 120 ppm (NOx is ~20 to
                   trations on O2 and load, respectively.                                                    24% higher than for the boiler equipped with nine burners).
                      Differences can be seen between the maximum NOx num-                                   The increased temperature resulted in a stronger dependency
                   bers, and, accordingly, between shapes of the curves, obtained                            of NOx on O2 on the boiler equipped with nine burners, both
                   on these two boilers. These discrepancies are associated with                             with and without FGR, as demonstrated in Figure 19.12.
                   distinctions in the combustion processes related to the differ-                              The above data, as well as other test data obtained from
                   ences between the mentioned burner designs, heat inputs, and                              150 to 800 MWe utility boilers, under similar operational
                   numbers of burners. The measured flame temperatures while                                 conditions, illustrate a significantly lower NOx level on No. 6
                   firing gas under full load with all other conditions being equal                          oil (even while containing Nf of up to ~0.7%) in comparison
                   show that on the boiler equipped with nine burners, the max-                              with NOx numbers on gas. An explanation of this fact
                   imum flame temperature is ~160°F (70°C) higher, resulting in                              contradicting the empirical data obtained on industrial and
                                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
NOx vs, relative steam flow at the TGM-94 boilers (#6 Oil, O2 = 1.2-16%)
450
400
                                                                                              350                                                                                    9 Burners,
                                                                         NOx @ O2 = 3%, ppm
                                                                                                                                                                                     FGR = 13%
                                                                                              300
                                                                                              250                                                                            21 Burners,
                                                                                                                                                                             0% FGR
                                                                                              200
                                                                                                                         9 Burners,
                                                                                                                         0% FGR
                                                                                              150
                                                                                                                                                               21 Burners,
                                                                                                                                                               FGR = 14%
                                                                                              100
50
                                                                                                0
                                                                                                     0          20                  40             60                     80                  100
                                                                                                                                  Relative Steam Flow, %
              FIGURE 19.14 NOx vs. relative steam flow at the TGM-94 boilers (No. 6 oil, O2 = 1.2–1.6%).
                                                                                               NOx vs. steam flow with firing natural gas on the TGME-206 boiler equipped
                                                                                                            with Typical Venturi-type LNBs at O2 = 0.81-1%
                                                                                              100
                                                                                               80
                                                                       NOx @ O2 = 3%, ppm
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                               60
                                                                                                                     FGR = 6-7%
                                                                                               40
                                                                                                                      FGR = 12-
20
                                                                                                0
                                                                                                    50          60                  70              80                    90                   100
                                                                                                                                  relative steam flow, %
              FIGURE 19.15 NOx vs. relative steam flow with firing natural gas on the TGME-206 boiler equipped with Todd Com-
              bustion low-NOx Dynaswirl burners at O2 = 0.8–1%.
              comparatively smaller utility boilers (where NOx numbers                                                                       range, CO concentrations were in the 50- to 150-ppm range
              are higher while firing oil) is presented in Section 19.3.2.3.                                                                 while firing gas. When firing No. 6 oil on both boilers, over
                                                                                                                                             the entire load range and under the same O2 , CO and opacity
              19.2.3 Boiler Load Influence on NOx                                                                                            did not exceed 100 ppm and 10%, respectively.
              The relationship between NOx and load was investigated on                                                                         Figure 19.15 shows the data of combined (load and FGR)
              many utility boilers over their full load ranges, while firing                                                                 influence on NOx on a 200-MWe boiler of the TGME-206
              either or both fuels. A detailed investigation was performed on                                                                model, having no furnace air in-leakage, equipped with
              the two TGM-94 boilers described above (see Section 19.2.2).                                                                   12 low-NOx venturi-style burners installed in two rows on
              The test results obtained at ~94, 75, 50, and ~30% loads,                                                                      the rear wall. The boiler was tested at loads ranging from
              with and without FGR, are shown in Figures 19.13 (gas) and                                                                     100 to 53% while firing natural gas at comparatively low O2
              19.14 (No. 6 oil). With O2 = 1.2–1.6%, over the entire load                                                                    (0.8 to 1%) and with 6 to 7% and 12 to 14% FGR flows. The
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                   Boiler Burners
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---                                                                                                                                      559
FIGURE 19.16 NOx vs. load with firing natural gas on utility burners.
Degree of the power function NOx = f (load) vs. bounded nitrogen in #6 oil
1.3
1.25
                                                                                          1.2
                                                                         degree number
1.15
1.1
1.05
                                                                                           1
                                                                                                0    0.1      0.2       0.3     0.4      0.5                0.6          0.7          0.8
                                                                                                                       Fuel Bound Nitrogen, %
FIGURE 19.17 Degree of the power function NOx = f (load) vs. bounded nitrogen in No. 6 oil.
                   FGR was mixed with the combustion air upstream of the                                                            the NOx number at full load) on relative load. It is seen that
                   windbox. Under all above conditions, CO concentrations                                                           relative NOx is a power function of relative load to the ~1.25
                   were less than 20 ppm.                                                                                           degree. While firing natural gas, significant changes in the O2
                                                                                                                                    range, FGR flow level, preheated air and FGR temperatures,
                      Confirmation of these empirical dependencies on many util-
                                                                                                                                    and other operational conditions provide comparatively small
                   ity boilers, equipped with various numbers, designs, and
                                                                                                                                    derivations from the mentioned average degree number.
                   arrangements of burners, while firing gas and oil with preheated
                   air (500 to 700°F, or 260 to 370°C), is shown in Figures 19.13                                                     With firing No. 6 oil under similar operational conditions
                   to 19.15. All available data obtained on 150- to 800-MWe                                                         on utility boilers, in general, the power function degree num-
                   boilers, firing natural gas in the load range of 100 to 30%, have                                                ber depends on Nf concentration in the oil: the higher the Nf,
                   been generalized in Figure 19.16 as a dependence of relative                                                     the lower the degree number. Corresponding test data,
                   NOx (defined as a ratio of NOx numbers at current loads to                                                       obtained at 17 boilers of 150 (three), 165 (eight), 210 (one),
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                                                                                                0.8
                                                                   relative NOx concentration
0.6
                                                                                                0.4
                                                                                                                  Natural Gas
                                                                                                                            #6 Oil
                                                                                                0.2
                                                                                                 0
                                                                                                      0      20                  40             60                     80                    100
                                                                                                                                Relative Steam Flow, %
FIGURE 19.18 Relative NOx vs. relative load on industrial boilers firing natural gas and No. 6 oil with ambient air.
FIGURE 19.19 Relative NOx vs. relative load on industrial boilers firing natural gas and No. 6 oil with preheated air.
              and 300 (five) MWe utility boilers at full load with an O2                                                                   385,000 lb/hr (10,000 to 175,000 kg/hr) steam flow boilers,
              range of 0.6 to 1.2%, are shown in Figure 19.17. With the                                                                    with firing both gas and No. 6 oil (0.22 to 0.49% Nf) in the                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              exception of one 150-MWe boiler, all boilers were equipped                                                                   100 to 25% load range, are similar to a linear dependence
              with FGR systems of various design. Increasing FGR flow from                                                                 as indicated in Figure 19.18. On preheated air (300 to 500°F
              0 to 14% (on the 165- and 210-MWe boilers) and to 18% (on the                                                                [150 to 260°C]), all curves are power functions with the
              other boilers) influences deviations from the average test data                                                              ~1.25 and (1.1–1.2) degree numbers on gas and No. 6 oil,
              curve but does not change the established dependence.                                                                        respectively, as in Figure 19.19.
                 Similar dependencies have also been established on indus-                                                                    A clear conclusion was made based on the above empirical
              trial single-burner and multi-burner boilers, while firing                                                                   test data: as load decreases (i.e., as the flame temperature is
              either gas and/or oil, with ambient and preheated air, and                                                                   reduced due to BZHR), the NOx level also decreases. A
              without staged combustion. With ambient air, the shapes of                                                                   reduction in the original NOx level (full load) limits the
              the experimental curves, established on the 22,000 to                                                                        potential opportunity to achieve a required NOx reduction
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                                                                  at lower loads, resulting in a reduction in the effectiveness              provide the required NOx reduction; but sustaining this NOx
                                                                  of all NOx reduction methods. This conclusion was made                     reduction requires the improved maintenance and optimized
                                                                  based on evaluations of data obtained on utility boilers, while            operational protocols. With a balanced air flow distribution,
                                                                  using all known NOx reduction methods. For example, on                     balanced fuel flow distribution, and a set of proven low-NOx
                                                                  the TGME-206 boiler with 12 venturi burners, ~14% FGR                      burners, the combustion system’s foundation is established
                                                                  implementation provides ~70 and ~56% NOx reduction at                      for the desired NOx reduction.
                                                                  100 and 80% loads, respectively. For industrial boilers with                  However, the NOx reduction provided by the low-NOx
                                                                  ambient air, this effectiveness reduction is a little more pro-            burner is only the first part of the process. The boiler must be
                                                                  nounced, due to the significantly lower flame temperature                  properly maintained to sustain the NOx reduction. Proper main-
                                                                  level in industrial boiler furnaces.                                       tenance must address boiler cleanliness, the percentage of air
                                                                                                                                             in-leakage, and oil heater maintenance. The maintenance pro-
                                                                  19.2.4 Boiler/System Condition Impacts on                                  tocols affecting boiler cleanliness include proper soot blowing
                                                                         Combustion and NOx Formation                                        practices on a daily basis and boiler washes during outages.
                                                                  A new philosophy for NOx reduction is emerging among
                                                                  multi-burner power boiler users. This philosophy views the                 19.2.4.1 Boiler Cleanliness
                                                                  entire boiler as a combustion system where NOx reduction                   The impact of boiler cleanliness on NOx became very appar-
                                                                  can be accomplished and maintained in a three-step process:                ent when the results of NOx testing while firing residual fuel
                                                                     1. installation of new, low-NOx burners to deliver the                  oil, on the same unit, showed a dramatic 23% increase in NOx
                                                                        required NOx reduction                                               as compared to results of NOx testing performed just months
                                                                     2. improved maintenance protocols to sustain the achieved               earlier, with the same atomizer and at the same unit condi-
                                                                        NOx reductions                                                       tions. A visual inspection of the boiler indicated that it was
                                                                     3. optimized operational protocols to achieve the best overall          well-seasoned (or dirty). A waterwall wash was performed
                                                                        combustion and boiler performance
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                             during the next available outage, about a week later. After the
                                                                  Boiler design parameters such as air preheater (APH) design,               outage, another NOx test was performed, and the results of
                                                                  superheater (SH) and reheater (RH) configurations, and the                 this testing showed a 25% decrease in NOx as compared to the
                                                                  amount of refractory in the furnace also have major impacts                pre-outage results. The effect of furnace cleanliness on NOx is
                                                                  on the amount of NOx reduction achievable on a given boiler.               shown in Figure 19.20.
                                                                    The cornerstone of this NOx reduction philosophy is still                  The second indication of the impact of boiler cleanliness on
                                                                  — as it has been for years — the low-NOx burner. Proven                    NOx came when a sister unit started up after the low-NOx
                                                                  low-NOx burners, along with a physical windbox model,                      burner retrofit. The startup testing measured residual fuel oil
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                                                                                     0.7                                                                                                    15
                                                                   NOx (lb m/MBtu)
                                                                                                                                                                                                 Opacity (%)
                                                                                     0.6                                                                                                    10
0.5 5
                                                                                     0.4                                                                                                    0
                                                                                           0        0.5         1        1.5                2                  2.5                    3
                                                                                                                    Excess O2 (%)
                                                                             PRV #4 NOx Economizer Outlet       PRV #4 NOx Top of Furnace               PRV #3 NOx Economizer Outlet
                                                                             PRV #3 NOx Top of Furnace          PRV #4 Opacity Economizer Outlet        PRV #4 Opacity Top of Furnace
                                                                             PRV #3 Opacity Economizer Outlet   PRV #3 Opacity Top of Furnace
              (RFO) NOx higher than any that had been previously measured                                                          NOx on the sister unit fell to a level equal to those measured
              with identical low-NOx burners and atomizers at the first unit.                                                      with identical low-NOx burners and atomizers at the first
                As the data sets from the units were analyzed, it became                                                           unit. Figure 19.21 exemplifies the impact of heat recovery
              apparent that the relative level of furnace cleanliness could                                                        area cleanliness on NOx.
              be correlated to the flue gas temperature entering the air
              preheater (APHGIT). It was also found that the second unit                                                           19.2.4.2 Furnace Air In-leakage Influence
              had an extremely high APHGIT. The unit’s soot-blowing                                                                The impact of air in-leakage on burner performance is a phe-
              practices were analyzed to determine the level of heat                                                               nomenon of balanced draft boilers. There is a significant dif-
              recovery area (HRA) cleanliness, and it was found that                                                               ference between NOx generation conditions existing in forced-
              many of the soot blowers were out of service. Upon mini-                                                             draft (pressurized) and balanced-draft furnaces. In pressurized
              mizing the number of soot blowers out of service, the RFO                                                            furnaces under typical single-stage (unbiased) conditions, all
                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
15
                                                                                        10
                                                        PERCENT DEVIATION IN A REFLOW
-5
-10
-15
-20
-25
-30
                                                                                        -35
                                                                                                                                  10
                                                                                                                                       11
                                                                                                                                            12
                                                                                                                                                 13
                                                                                                                                                      14
                                                                                                                                                           15
                                                                                                                                                                16
                                                                                                                                                                     17
                                                                                                                                                                           18
                                                                                                                                                                                19
                                                                                                                                                                                     20
                                                                                                                                                                                           21
                                                                                                                                                                                                22
                                                                                                                                                                                                     23
                                                                                                                                                                                                           24
                                                                                              1
                                                                                                  2
                                                                                                      3
                                                                                                          4
                                                                                                              5
                                                                                                                  6
                                                                                                                      7
                                                                                                                          8
                                                                                                                              9
FIGURE 19.23 Improvement of mass flow distribution to burners (differences within ±2%).
                   the combustion air flow enters the furnace through the burn-                                                               than the control room O2 measurements taken at the econo-
                   ers, and the O2 required for complete combustion can be                                                                    mizer outlet. In many cases, the mentioned difference
                   minimized. In balanced-draft furnaces, there is usually an air                                                             between O2 measurements is higher. This air in-leakage
                   in-leakage of at least 3 to 5% (it sometimes exceeds 10%),                                                                 between the furnace exit and the economizer outlet can shift
                                                                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   sometimes leading to sub-stoichiometric combustion air flow                                                                the NOx vs. O2 and opacity vs. O2 curves upward along the
                   coming through the burners. In-leakage air participates in the                                                             O2 axis, as shown in Figure 19.22.
                   combustion process as well, providing complete combustion
                   at slightly higher O2 levels for many applications.                                                                        19.2.4.3 Fuel Oil Temperature
                      If the in-leakage location is within the furnace, the air                                                               Problems with the main fuel oil heaters can reduce the maxi-
                   deficit in the burners provides a self-stage combustion that                                                               mum fuel oil temperature, therefore raising the minimum vis-
                   complicates ICP burning out on one hand, but can reduce                                                                    cosity attainable. The increased viscosity will increase the
                   NOx on the other hand (again depending on the in-leakage                                                                   Sauter mean diameter (see Chapter 8) of the atomized droplets,
                   location). With other conditions remaining constant in pres-                                                               thus causing higher opacity. The increased droplet size will
                   surized and balanced furnaces, an NOx reduction of up to                                                                   increase the excess O2 required for complete combustion. NOx
                   15 to 18% is available. This was established by testing three                                                              will increase due to the increased excess oxygen levels. The
                   sets of identical utility boilers: (1) 210-MWe boilers with                                                                viscosity required by most burner vendors is 80 to 100 SSU.
                   12 burners on the rear wall, (2) 300-MWe opposed fired boil-
                   ers with 16 burners, and (3) 150-MWe opposed boilers with
                                                                                                                                              19.3  CURRENT STATE-OF-THE-ART
                   six burners. A comparison was made of NOx data measured
                   in these similar utility boiler sets, one operating with a bal-                                                                  CONCEPTS FOR MULTI-BURNER
                   anced draft and one operating with a forced draft, while firing                                                                  BOILERS
                   gas at full load and with ~0% FGR flow.                                                                                    19.3.1 Combustion Optimization
                      However, if the in-leakage location is downstream of the                                                                19.3.1.1 Windbox Air Flow Modeling
                   furnace exit, in-leakage can have detrimental effects on the                                                               Extensive experience in the application of oil and gas firing
                   perceived performance of the burners. O2 measurements taken                                                                equipment to a wide range of boiler designs has led to the
                   at the top of the furnace can be approximately 0.8% lower                                                                  conclusion that, especially on multiple burner installations, it
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                                                                                      12:00
                                                                                   5000                                      Before Modeling
                                                                                                                             After Modeling
                                                                                   4000
                                                                          10:30                                1:30
                                                                                   3000
2000
1000
9:00 0 3:00
7:30 4:30
                                                                                      6:00
                                                                      PRIMARY PERIPHERAL VELOCITY DISTRIBUTION
FIGURE 19.24 Improvement of peripheral air flow distribution to burners (deviations ±10%).
              is imperative to achieve proper air distribution to each burner                    starved for air. This starved burner will generate a high CO
              in order to control flame shape, flame length, excess air level,                   concentration and, consequently, the total O2 must be raised
              and overall combustion efficiency.                                                 to minimize the formation of CO in that burner. By equalizing
                 Proper air flow distribution consists of an even combustion                     the air flow to each burner and ensuring that the fuel flow is
              air mass flow distribution, even burner entrance peripheral                        equal, the O2 can be lowered until the CO starts to increase
              flow distribution, the elimination of tangential velocities                        equally for all burners. Lower O2 has additional benefits of
              within each burner, as well as an even combustion air O2                           lower NOx formation and higher thermal efficiency. The goal
              content by balancing the FGR distribution to each burner.                          is to bring the mass flow differences for each burner (in the
              Considering that air in the combustion process accounts for                        model) to within ±2% of the mean, as shown in Figure 19.23.
              approximately 94% of the mass flow, numerous observations                             Flame stability is probably the most important aspect of
              on boiler combustion systems have shown that correct air                           the model that appeals to the boiler owner. Flame stability is
              distribution and peripheral entry condition are key factors in                     enhanced in the model by controlling two parameters: perim-
              the achievement of high performance (low NOx, low O2, and                          eter air inlet distribution and inlet swirl number (flame sta-
              low CO). The concept of equal stoichiometry at each burner                         bility is primarily controlled in the burner design but must be
              results in the minimal O2, NOx, and CO. The most direct way                        supported by proper inlet conditions). The equalization of the
              to achieve this is to ensure equal distribution of air and fuel                    peripheral air velocity at the burner inlet will result in equal
              to each burner. Equal air distribution is difficult because it                     mass flow of air around and through the periphery of the
                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              requires a reliable and repeatable flow measuring system in                        swirler. The flame stabilizer will tend to equalize any remain-
              each burner, as well as a means to correct the air flow without                    ing flow deviations because of the high velocity developed in
              disrupting the peripheral inlet distribution or adding swirl to                    this region of the burner throat. The result of this equal air
              the air flow.                                                                      mass flow distribution through and around the swirler will be
                 The purpose of each objective relates to a specific burner                      a fully developed and balanced air vortex at the center of the
              performance parameter as described below.                                          outlet of the swirler. Flame stability and turndown of the
                 To achieve the lowest emissions of NOx, CO, opacity, and                        burner depend on the condition of this vortex and its attach-
              particulates, at the minimum excess O2, equalization of the                        ment to the swirler. Unequal peripheral inlet velocity distri-
              mass flow of air to each burner is required. Mass flow devi-                       butions result in an asymmetrical vortex, leading to a flame
              ations should be minimized to enable lower post-combustion                         that has poor combustion performance and is more sensitive
              O2, CO, and NOx concentrations. The lowest post-combustion                         to operating conditions, turndown may be limited, combus-
              O2 concentration possible is constrained by the burner most                        tion induced vibrations may be experienced, FGR may cause
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                                                                                             25.0%
                                                                                      25%)
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
20.0%
15.0%
                                                                                             10.0%
                                                                                                            0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1617 18 19 20 21 22 2324 25
                                                                                                                                   BURNER #
                   flame instability at lower loads, light-off by the ignitor may                                                            reactants — and hence the products — in the combustion
                   be more difficult, and flame scanning may exhibit increased                                                               process. The increased mass, as well as the increased reactant
                   sensitivity. The goal is to reduce peripheral air flow deviations                                                         diffusion time requirement, reduces the overall flame temper-
                   to ±10%, as shown in Figure 19.24.                                                                                        ature. The burner with the least amount of FGR will theoret-
                      The swirl number is an indication of the rotational flow                                                               ically have the highest flame temperature, and will therefore
                   entering the burner. The creation of swirling air is a funda-                                                             have the highest NOx. Likewise, the burner with the highest
                   mental requirement of all burners. Louvered burners create                                                                amount of FGR will theoretically have the lowest NOx. How-
                   this swirl by rotating the entire air mass. Unfortunately, this                                                           ever, due to the exponential nature of the NOx/temperature
                   creates a problem at high turndown rates. At low loads                                                                    relationship, given an equal deviation (e.g., ±5%), the higher
                   (e.g., 10%), excess O2 is typically 11 to 13%. By swirling the                                                            NOx values from the low FGR burners will outweigh the
                   entire air mass, the fuel is diluted to the point where flame                                                             lower NOx values from the high FGR burners. Minimizing
                   stability becomes marginal. Swirling air entering louvered                                                                the FGR deviations, as shown in Figure 19.25, will even out
                   burners (not created by the burner louvers) can cause differing                                                           the flame temperatures and therefore minimize the NOx for-
                   burner-to-burner register settings to match swirl intensity at                                                            mation from each burner.
                   each burner. The differing register positions consequently
                                                                                                                                               Equal inlet velocities and elimination of swirl through each
                   affect the air mass flow at each burner.
                                                                                                                                             burner are crucial to burner performance. Because low-NOx
                      An axial flow burner operates on the principle of providing
                                                                                                                                             burners rely on injection of fuel at precise locations within
                   axial air flow through the burner and developing a controlled
                                                                                                                                             burner air flow, it is imperative that the proper air flow be
                   limited vortex (swirl) of primary air at the face of the smaller
                                                                                                                                             present at these locations. Likewise, for optimum perfor-
                   centrally located swirler. This concept maintains a stable flame
                                                                                                                                             mance, the only swirl present must be that created by the
                   at the core of the burner by limiting dilution at high turndown
                                                                                                                                             burner itself.
                   rates. The secondary air that passes outside the swirler, how-
                   ever, is most effective if it is not swirling (which is the concept                                                          No burner can be expected to simultaneously correct imbal-
                   behind “axial flow” burners). Swirling secondary air increases                                                            ances in the draft system and precisely control fuel/air mixing
                   the dilution of the fuel and limits turndown. The goal of both                                                            to minimize NOx formation. Air flow modeling prepares the
                   the louvered burner and the axial flow burner is to eliminate                                                             air flow for the burner, allowing the burner to precisely control
                   any tangential velocities entering the burner.                                                                            fuel/air mixing for maximum NOx reduction. This approach
                      The thermal NOx from a burner increases exponentially                                                                  has freed burner designers to focus solely on NOx control,
                   with an increase in flame temperature. The introduction of                                                                thereby increasing the effectiveness of known control tech-
                   FGR into the combustion air increases the overall mass of the                                                             niques to their maximum extent.
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                   FIGURE 19.28 Premixing the FGR flow with the combustion air upstream of the windbox.
                   within the combustion air/FGR supply system. As an added                 equal fuel pressures (assuming that equal fuel pressures
                   criteria, the windbox modifications must provide the minimal             means equal fuel flow), the burner that is –5% in air flow
                   amount of impact on overall combustion air/FGR supply sys-               will be running at an O2 level that is approximately 1% lower
                   tem pressure drop. This is to minimize the effects on existing           than average.
                   fan performance. The major constraint in achieving these
                                                                                               For further balancing, the unit should first be brought to
                   objectives is the air distribution arrangement and windbox
                                                                                            maximum continuous rating (MCR) conditions, and O2
                   internal dimensions. The result of a windbox model can be
                                                                                            should be lowered to a point where the CO is in the 200 to
                   seen in the flame-to-flame similarity of appearance, as shown
                                                                                            400 ppm range on gaseous fuel, or opacity is in the 12 to
                   in Figure 19.27.
                                                                                            14% by EPA Method 9 for oil. The burner with the highest
                                                                                            CO/opacity should be found and the fuel to that burner
                   19.3.1.2 Fuel Flow Balancing Techniques
                                                                                            reduced slightly, resulting in a reduction in the overall
                   Fuel flow balance is just as important as air flow in reducing
                                                                                            CO/opacity level. This is an iterative process and should be
                   O2. A rough balance of fuel flow distribution is relatively
                                                                                            repeated until any further fuel adjustments either show no
                   easy to achieve by balancing pressure drops in the fuel
                                                                                            effect or increase the CO/opacity level.
                   header, or in other words, equalizing the fuel pressure at each
                   burner, thus ensuring that each burner is receiving the same                The trick to this method of burner optimization is to find
                   amount of fuel.                                                          the burner with the highest CO/opacity. Ideally, on a multi-
                      Once the air flow has been balanced by a windbox model                burner boiler, there should be a measurement grid at the
                   and the fuel pressures at each burner have been equalized,               economizer outlet that has been mapped out for burner strat-
                   the unit is in the proper starting condition for the concept of          ification and measurement probes placed along the burner
                   fuel balancing to be taken a step further to reduce O2 and               centerlines. CO measurements taken from this grid, at the
                   maximize boiler efficiency. This goes back to the concept                conditions specified above, typically give a clear indication
                   that there is probably one burner that is limiting the O2                of the burner with the lowest amount of stoichiometric air.
                   reduction. Even when the field data indicate that the air mass           Lacking a mapped-out grid, when the boiler is brought to the
                   flow is within ±5% of average, and all the burners indicate              conditions outlined above, a visual inspection of the flames
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              will typically indicate the “problem burner” as the one that                            There are also applications where a comparatively cold exit
              has the “dirtiest” or “sootiest” flame.                                              flue gas (240 to 320°F [120 to 160°C]) is taken from the ID
                                                                                                   fan outlet and supplied, for example, to the FD fan inlet or to
              19.3.2 Methods to Reduce NOx Emissions                                               the windbox. Usually, this flue gas contains much more excess
                                                                                                   O2, especially on the boilers equipped with air preheaters hav-
              Combustion modification techniques that have been devel-
                                                                                                   ing comparatively large air leakage characteristics. Empirical
              oped to reduce NOx emissions include low excess air opera-
                                                                                                   data show that if this air leakage can be minimized, this “cool”
              tion, fuel and air staged burner design, staged combustion
                                                                                                   FGR can provide 25 to 30% greater relative NOx reduction as
              (off-stoichiometric or biased firing), reduced air preheat, flue
                                                                                                   compared to the “hot” FGR, but it has a more severe impact
              gas recirculation, fuel-induced recirculation, reburn, and
                                                                                                   on boiler thermal efficiency reduction. FGR flow can also be
              water tempering. As discussed in Section 19.2.2, low excess
                                                                                                   induced into the combustion air forced-draft fan inlet, allowing
              air operation limits the oxygen availability in the combustion
                                                                                                   the use of FGR without requiring a separate FGR fan.
              zone and is highly effective in controlling fuel NOx forma-
              tion and, to a lesser extent, thermal NOx.                                              FGR can be taken from the furnace zone adjacent to the
                 The NOx problem forced the development of various com-                            burner exit, and can be induced back into the combustion air
              pletely different furnace designs, usually implementing low-                         flow, also allowing the use of FGR without requiring a sep-
              NOx burners and FGR systems, sometimes containing over-                              arate FGR fan. Unlike regular, comparatively cold FGR flows,
              fired air ports for supply of air and/or air/FGR mixtures to                         this flue gas has temperatures of at least 2000 and 2200°F
              the furnace space located above the burners. There are single-                       (1100 and 1200°C) with gas and oil firing, respectively; it
              wall burner utility boilers where air ports are located on the                       consists primarily of unreacted air (O2 ~ 16–19%) and ICP.
              target wall. Also, there are low-NOx industrial and utility                          This method is completely different from the ones described
              boilers containing special furnace devices for steam/water                           above because its effectiveness cannot be associated with
              injection in the combustion zone and for fuel injection in the                       significant changes in the flame temperature conditions or
              post-combustion zone (a kind of reburning).                                          lowering O2 concentration in the combustion air. The effec-
                                                                                                   tiveness of this method relies on interactions between reagents
                 Actually, any of the mentioned methods is capable of
                                                                                                   participating in NO formation and both radicals and ICP that
              reducing NOx by up to 35 to 40%, but it cannot satisfy the
                                                                                                   are present in high concentrations, which slow the NO for-
              strictest of today’s NOx requirements. These applications
                                                                                                   mation reactions rates, thereby reducing NOx output.
              require implementation of at least two NOx reduction meth-
              ods. It is important to note that, as with the example of boiler                        Flue gas can be recirculated in a number of ways: directly
              load and FGR in Section 19.2.3, the efficiency of the imple-                         to the furnace through slots located under, above, around, or
              mented methods depends on their sequence. The first NOx                              between the burners; through over-fired air ports or ports
              reduction method is much more efficient than the second one.                         located on the target wall; premixing the FGR flow with the
              This conclusion has been confirmed on many utility boiler                            combustion air upstream of the windbox (called premix FGR),
              retrofits where up to four NOx reduction methods were used.                          typically accomplished via a sparger section as depicted in
              That is why a combination using more than three methods on                           Figure 19.28; mixing the FGR at the burner exit (called ple-
              the same boiler is typically inefficient.                                            num FGR); and premixing the FGR with the gaseous fuel (on
                                                                                                   oil, the flue gas would pass through the fuel gas piping). This
              19.3.2.1 NOx Reduction by FGR Implementation                                         technique of flue gas entrainment is called fuel dilution and
              It is well-known that thermal NOx can be effectively con-                            uses no additional fan power because it is typically induced
              trolled by reducing the flame temperature. The most effective                        into the fuel stream by the fuel pressure itself, or by pressure
              technique is the use of FGR, which when mixed with the                               energy supplied via an intermediate media such as steam if
              combustion air acts as a diluent to decrease the flame temper-                       the available fuel pressure is not high enough. Also, FGR can
              ature, and sometimes (at high FGR rates) even increases the                          be supplied to the boiler hopper; this method is typically used
              flame luminescence. FGR with lower temperatures will be                              only for steam temperature control.
              more effective in flame temperature reduction.                                          Various levels of NOx reductions can be achieved at the same
                 Usually, FGR is taken after an economizer where temper-                           FGR rates using these different techniques. Figure 19.29 (illustra-
              atures range between 500 and 800°F (260 to 430°C), the O2                            ting test data from 150, 165, 200, and 300 MWe boilers) and
              range is typically between 1 and 3%, and actual ICP concen-                          Figure 19.30 (800 MWe boiler) show full load gas firing test
              trations are negligible. Usually, an FGR fan is required to                          data received on utility boilers equipped with different burner
              supply FGR flow to the combustion air flow or to the furnace.
                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                   designs, numbers, and arrangements, with O2 = 0.8–1.4%.
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                                                                                                        Relative NOx Concentration vs. FGR Flow Rates with Firing Gas at Full Load
                                                                                                   1
                                                                                                  0.8
                                                                   Relative NOx Concentration
0.6
                                                                                                  0.4
                                                                                                             TGM-94, FGR into slots against the
                                                                                                             burners
                                                                                                             TGME-206, FGR into combustion
                                                                                                  0.2        air
                                                                                                             TGMP-314, FGR into peripheral air
                                                                                                             TGME-114, FGR into slots below
                                                                                                             the burners
                                                                                                   0
                                                                                                        0                    5                    10                              15                        20
                                                                                                                                            FGR flow rate, %
FIGURE 19.29 Relative NOx concentration vs. FGR flow rate with firing natural gas in the utility boilers at full load.
0.8
                                                                                                  0.6
                                                                                                                                                                                             two-stage
                                                                                                                                                                                             combustion
0.4
                                                                                                                                                                                                                                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                                            single-stage
                                                                                                                                                                                             combustion
0.2
                                                                                                   0
                                                                                                        0               5                 10             15                            20                   25
                                                                                                                                          FGR flow rate, %
FIGURE 19.30 Relative NOx concentration vs. FGR flow rate with firing natural gas in the 800 MWe boiler at full load.
                      It should be noted that all curves shown in these two figures                                                                         Figure 19.29 shows that the most effective conventional
                   are exponential, meaning that it would make sense to deter-                                                                           FGR supply system for low NOx is to provide a high-quality
                   mine an optimal operational FGR rate. This optimal limit will                                                                         mixture of the FGR and combustion air, as with the venturi-
                   be different for each boiler application because it depends on                                                                        style, low-NOx burners installed at the 200 MWe TGME-206
                   the boiler design (and accordingly on FGR impact on the                                                                               boiler (single-wall burner installation), where 10, 12, and 18%
                   boiler operational parameters). The data presented show that                                                                          FGR flows provided 54, 63, and 74% NOx reduction, respec-
                   the typical optimal FGR rate range for NOx reduction is 14 to                                                                         tively. A comparatively high NOx reduction efficiency is also
                   18%. The NOx reductions experienced through FGR imple-                                                                                reached on the 300 MWe TGME-314 boiler model (16 burners
                   mentation, as described above, explain why it is the most                                                                             installed in two rows on opposed firing walls), where straight
                   frequently implemented NOx reduction technique on newly                                                                               FGR flow is mixed with the burner air flow. Methods used to
                   designed and low-NOx retrofit boilers.                                                                                                supply FGR directly into the furnace, implemented on the
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                                                                                                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                      16
                                                                                      14
                                                                                      12
                                                                   Percent Flue Gas
                                                                                      10
                                                                                      8
                                                                                      6
                                                                                      4
                                                                                                                                                            Fuel Dilution
                                                                                      2                                                                     FGR
                                                                                      0
                                                                                           0   10        20           30               40               50                  60
              TGM-114 (opposite wall burner installation, 150 MWe) and                                                      Recent developments have shown that, when firing gaseous
              the TGM-94 (single wall burner installation, 165 MWe), are                                                 fuels, using fuel dilution (mentioned above) to induce flue gas
              dramatically less effective.                                                                               into the gaseous fuel is truly the most effective method of FGR
                 Figure 19.30 demonstrates the test data obtained on the                                                 supply (~25% more effective, as shown in Figure 19.31). As
              800 MWe boiler of model TGME-204 (36 low-NOx burners                                                       per the test data, while natural gas firing at 2.5 to 4.5% O2,
              installed in three rows on two opposed firing walls) with full                                             NOx can be reduced by 66% with 12 to 13% fuel dilution flow.
              load single- and two-stage gas combustion (with 33% air                                                       The reason why fuel dilution provides more efficient NOx
              supplied through over-fired air ports located above the top                                                reduction as compared to conventional FGR supply methods
              burners) at O2 = 0.8–1.2%. As previously discussed, it is only                                             is as follows.
              natural that the NOx reduction provided by premixing FGR                                                      When natural gas (conditionally CH4) is fired with com-
              with combustion air flow is less effective with two-stage                                                  bustion air, without the use of FGR or fuel dilution, every
              combustion when the flame temperature level is significantly                                               CH4 molecule encounters a certain quantity of oxygen mol-
              lower. However, the 46 and 57% NOx reductions achieved                                                     ecules that is dependant on the excess O2 level, the mixing
              with 18 and 24% FGR flow rates, respectively, during two-                                                  quality of the fuel with the air, and the diffusion rates of the
              stage gas combustion can still be considered a comparatively                                               CH4 and O2 at the flame front region, as shown in Figure
              high efficiency because it is the second NOx reduction                                                     19.32(a). The combustion reaction rates (including reactions
              method implemented (see Section 19.3.2). At full load on this                                              for incomplete combustion product burnout, prompt NOx,
              boiler, the total NOx reduction exceeds 80% (from 600–620                                                  and thermal NOx generation) are dependent on the actual
              to 90–95ppm), and CO < 200 ppm at O2 = 0.8–1.2%. This                                                      excess O2, the combustion air temperature, and the fuel/air
              NOx reduction was achieved utilizing a combination of low                                                  mixture quality. These variables also determine, along with
              NOx burner retrofit, two-stage gas combustion, premixed                                                    the given burner/furnace design, the heat release and heat
              FGR, and water injection in the primary and secondary com-                                                 distribution within the furnace, which in turn determines the
              bustion air flows. The same scope of work was repeated on                                                  shape of the temperature profile curve, as well as the maxi-
              three neighboring 800 MWe boilers of the same design                                                       mum temperature value and its location within the given
              installed at this power plant. On all four units, total NOx                                                furnace. Concurrently, these specific features of the temper-
              reductions of 81 to 85% were achieved.                                                                     ature conditions have a major impact on the determination of
                 Similar full load NOx reduction data has been obtained on                                               the above combustion reaction rates.
              packaged industrial boilers equipped with a single venturi-                                                   When CH4 is fired with combustion air containing typical
              style, low-NOx burner, firing gas with ambient air. The data                                               FGR, with all other combustion conditions being the same as
              are presented in Figure 19.31.                                                                             in the previous example, every CH4 molecule will encounter
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                     FIGURE 19.32 Full load NOx reduction data has been obtained on packaged industrial boilers equipped with a single
                     venturi-style, low-NOx burner, firing gas with ambient air. (a) When natural gas (conditionally CH4) is fired with combustion
                     air, without the use of FGR or fuel dilution, (b) when CH4 is fired with combustion air containing typical FGR, with all other
                     combustion conditions being the same as in the previous example; (c) when CH4 is diluted with flue gas at the 1:1 ratio, with
                     all other combustion conditions being the same as in the previous examples.
                     a lower quantity of oxygen molecules than it would without                temperature reduction caused by this phenomenon is depen-
                     FGR. The FGR impedes the diffusion of O2 toward the flame                 dent on the FGR temperature; relatively high temperature
                     front, as depicted by the increased combustion product con-               FGR flows will provide less flame temperature reduction than
                     tent on the air side (slight purple coloring on the air side) in          relatively low temperature FGR flows. The combination of
                     Figure 19.32(b). The difference between the quantity of oxy-              decreased O2 concentration and lowered flame temperature
                     gen values in these two cases depends on both the FGR                     level results in reduced reaction rates of all the combustion
                     composition and the FGR flow rate. For example, for a boiler              reactions mentioned above, including those reactions respon-
                     design operating under a positive furnace pressure (i.e., no              sible for NOx generation in the given furnace.
                     air in-leakage in either the furnace or the convective path)                 When CH4 containing fuel dilution is fired with combustion
                     and providing an equal distribution of the combustion prod-               air in the same furnace, combustion conditions change signif-
                     ucts in both the furnace exit cross-section as well as in the             icantly from the examples previously discussed; because the
                     convective path cross-sections, the FGR composition will be               CH4 is only ~6% of the mass flow within the combustion
                     similar to the combustion product composition leaving the                 process, the fuel dilution has a much greater dilution effect on
                     furnace. Because the combustion air makes up ~94% of the                  the CH4. If the fuel dilution rate is the same as the FGR rate
                     mass flow within the combustion process, by supplying an                  previously discussed (11%), the dilution is equivalent to a
                     FGR flow rate of ~11%, the oxygen concentration in the                    2 fuel dilution:1 fuel molecular ratio, as evidenced by the
                     combustion air/FGR mixture is reduced by the same 11%                     heavy orange coloring on the fuel side in Figure 19.32(c). Due
                     (being only slightly diluted; this is why there is only a slight          to this phenomenon, when a diluted fuel fires, the flame tem-
                     purple coloring on the air side in Figure 19.32(b)). Also, the            perature becomes significantly less in comparison with the
                     flame temperature level in the furnace is reduced primarily               second case, related to natural gas firing in the combustion air
                     due to the addition of the FGR mass. The magnitude of the
        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---                                        containing the same FGR flow. The reduced flame temperature
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              influences all of the above combustion reactions rates, includ-         issues of combustion (especially in the case of firing natural
              ing reactions that are responsible for NOx generation in the            gas in ambient air) can be met — even at low FGR amounts.
              given furnace. This is the explanation for why the NOx reduc-           However, these problems are not typically experienced when
              tion efficiency of fuel dilution is so much greater than that of        FGR flow rates are below 14 to 18%.
              FGR. On the other hand, the mentioned flame temperature                    Alternative techniques to reduce flame temperature involve
              reduction (associated with the substitution of FGR with fuel            reduced air preheat and water or steam injection. Water or
              dilution of the same percentage and temperature) reduces heat           steam injection will result in efficiency losses that are unre-
              release in the furnace, increases the furnace exit flue gas tem-        coverable, while reduced air preheat can be achieved with no
              perature, and increases heat release in the boiler convective           loss in efficiency if steam surface changes are made.
              path, especially in the superheater and reheater sections. Also,
              the flue gas temperature will be increased throughout the con-          19.3.2.2 Multi-stage Combustion on Utility Boilers
              vective path, including the stack flue gas temperature, which           Staged combustion involves delaying the mixing of fuel and air,
              reduces the boiler thermal efficiency.                                  and is effective for both thermal and fuel NOx control. Typi-
                 Fuel dilution can also be implemented in combination with            cally, staged combustion creates an initial fuel-rich combustion
              FGR premixed in the combustion air and/or steam injection.              zone with air added downstream to complete combustion.
              A combination of fuel dilution and steam injection can pro-             Staged combustion can be achieved using low-NOx burners
              vide a total NOx reduction of up to ~82%.                               (internal staging), over-fired air ports, operating existing burn-
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                 Low flue gas recirculation rates (<20%) typically have a             ers with biased fuel firing, or with burners-out-of-service
              relatively minor impact on boiler performance (in many cases,           (BOOS). Biased fuel firing for a large, wall-fired unit is imple-
              on utility boilers it can be compensated for by increasing the          mented by operating the lower burners with reduced combus-
              turbine’s efficiency; on industrial boilers, this loss is unrecov-      tion air and/or increased fuel to produce a fuel-rich zone in the
              erable). However, high FGR rates (>20%) can significantly               lower portion of the furnace. The upper burners are operated
              impact boiler performance, especially the redistribution of             with a corresponding increase in air or decrease in fuel to
              heat flux between radiant surfaces and high-temperature con-            complete fuel burnout. An extreme form of staging involves
              vective heat exchange surfaces of utility boilers and, accord-          operation with an upper row of burners out of service or its
              ingly, on superheated/reheated steam temperature. Excessive             equivalent over-fired air ports. In this case, fuel is shut off to
              use of flue gas recirculation can result in significantly               these burners and the burners are operated with air only.
              increased superheated and reheated steam temperatures, or                  The principle of stagewise fuel combustion involves the
              significantly increased superheat and reheat attemperation              arbitrary division of the flame into two or more stages. In
              spray flows, the latter affecting boiler efficiency. In addition,       most cases, in the first high-temperature stage, combustion
              power expenses recalculated for thermal efficiency losses are           takes place with an excess air factor of less than unity; in
              estimated at 0.03 to 0.05% per 1% FGR. These facts explain              subsequent stages, which have a comparatively low temper-
              why FGR was (before NOx requirements were established)                  ature level, secondary combustion of the previous ICPs occurs
              typically only used to control and regulate reheated and super-         with relatively high excess air. Thus, NOx formation is
              heated steam temperatures at minimum loads. A typical older             retarded in the first stage because there is insufficient oxygen
              boiler would be designed to provide the required steam                  in the reaction zone, and in the subsequent stages due to the
              temperature and flows without FGR at full load; but at partial          relatively low temperature of the flame. This has established
              loads (usually 70%), FGR was switched on to maintain                   the advantages of stagewise combustion as an NOx reduction
              steam temperatures. FGR flow rates increased as loads con-              method over other methods.
              tinued to decrease. Modern boiler designs incorporate FGR                  There are various methods of performing staged combus-
              for both NOx reduction and steam temperature control. At                tion in furnaces. The best known and most studied methods
              higher loads (100 to 80%), FGR is typically used for NOx                are based on the following three options:
              reduction; however, as above, at partial loads, FGR is typi-
                                                                                           1. gas/oil combustion with a significant air deficit in all
              cally used for steam temperature control.
                                                                                              burners and supplying a certain part of the total air flow
                 Very large amounts of premixed FGR, above 45%, can                           directly to the furnace through ports or slots located above
              affect flame stability with conventional burner designs, while                  the burners
              plenum FGR has been tested on some burners up to 70% with                    2. redistribution of air flows between the burners located at
              no noticeable effect on flame stability. Depending on the FGR                   different rows
              supply method, the FGR/air mixing quality will be different,                 3. redistribution of fuel flows between the burners located at
              and, accordingly, flame stability, vibration, and other negative                different rows
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                                                                                                                                                                                          NOx reduction, %
                                                                                        600                                                                                         60
                                                                                        500                NOx reduction                                                            50
                                                                                        400                                                                                         40
                                                                                        300                                                                                         30
                                                                                        200                                                                                         20
                                                                                        100                CO
                                                                                                                                                                                    10
                                                                                          0                                                                                         0
                                                                                              0       5         10        15          20         25              30            35
                                                                                                                relative over fire air flow rate, %
                   FIGURE 19.33 Overfire air flow rate influence on NOx reduction and CO emission with firing natural gas in the TGM-94
                   boiler at ~94% load and O2 ~1.2%.
                   The mentioned options are directed to get a “vertical” fuel/air                                                   provides reductions in opacity, carcinogenic substances, and a
                   unbalance in the furnace: excess fuel and air deficit in the                                                      small CO reduction from ~38 to ~24 ppm. However, NOx
                   lower part and, on the contrary, excess air and fuel deficit in                                                   increases very quickly; on average, 1% of the secondary air flow
                   the top part of the combustion zone. However, when a boiler                                                       brings a relative NOx increase of ~1.5%. The boiler data from
                   changes over to stagewise fuel combustion with a “vertical”                                                       this testing indicated that this method can be applied to appli-
                   unbalance in the fuel/air ratio, concentrations of all ICPs,                                                      cations requiring increased reheated/superheated steam temper-
                   including benz(a)pyrene and other carcinogenic substances,                                                        atures. Moreover, this method increases the boiler thermal
                   increase. Much test data exist confirming the above conclu-                                                       efficiency and reduces operational power expenses due to a
                   sion. An example is shown in Figure 19.33, where test data                                                        decrease in the air resistance of the air path. On the above boiler,
                   obtained on a model TGM-94 boiler are presented. It can be                                                        ~15% secondary air flow increased the total efficiency by 1.1%.
                   seen that a 50% NOx reduction while firing gas is reached at                                                      The data indicate that an optimally designed three-stage fuel
                   ~18% over fire air flow, but CO has increased to ~200 ppm. A                                                      combustion system could be developed with simultaneous
                   further increase in the overfire air flow to 25% results in a                                                     “vertical” and ”horizontal” imbalances of the fuel/air ratio.
                                                                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   ~60% NOx reduction; however, the CO has increased to                                                                 Using calculations explaining the above data as a basis for
                   ~400 ppm. Increases in CO concentrations and other ICPs are                                                       preliminary design work, a new furnace was developed. The
                   typical of “vertical” staged combustion. The data for this                                                        furnace had three burner rows and slots above the upper row
                   boiler also indicated that operation while firing gas at ~18%                                                     located on the furnace front wall. FGR could either be pre-
                   overfire air flow reduced the boiler efficiency by ~0.85%.                                                        mixed with the combustion air going through the burners and
                      Another system of stagewise combustion, with a “horizontal”                                                    slots; supplied directly into the furnace through slots located
                   unbalance of the fuel/air ratio, gives rise to substantial reductions                                             on the rear wall, opposite the lower burners; or in both loca-
                   of ICP emissions. However, it results in increased NOx. This                                                      tions. The primary air flow was supplied through the burners,
                   method of stage combustion utilizes the interaction of fresh                                                      and secondary and tertiary air flows were redirected to the
                   combustion air jets directed from ports or slots located opposite                                                 slots located on the rear and front walls, respectively.
                   the burners, with fuel radicals and already formed ICP in flames                                                     Tests were performed over a boiler load range of 100 to
                   generated by burners receiving sub-stoichiometric air. It inten-                                                  40%, α = 1.05–1.11 firing gas, and at full load, α = 1.03–1.1,
                   sifies the combustion process and especially burn out while firing                                                firing No. 6 oil. To obtain reliable data on the NOx reduction
                   oil, as illustrated in Figure 19.34 where test data were obtained                                                 effectiveness of stagewise combustion, tests were carried out
                   on a TGM-84 (~930,000 lb/hr or 420,000 kg/hr steam flow) co-                                                      in alternate modes, with measurements being made during
                   generating boiler firing No. 6 oil. The data show that this method                                                single-stage combustion under the same load, excess air
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FIGURE 19.34 “Horizontal” imbalance intensifies the combustion process and especially burnout while firing oil.
              factor, FGR, and other combustion conditions. Comparative            air flows of 15 and 25%, respectively. This NOx reduction is
              tests when firing oil were carried out with oil supplied from        accompanied by a corresponding CO increase from ~135 to
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              the same tank. All results were compared with the baseline           165 ppm during single-stage combustion to 260–290 and
              conditions of single-stage combustion, in which the second-          350–400 ppm, accordingly. Under the above conditions, oper-
              ary and the tertiary air flow dampers were fully throttled, it       ation with FGR was not required at any point over the entire
              being conditionally assumed that their relative flows were ~0.       load range. The decrease in thermal efficiency was 0.3 to
                 The test data comparing single- and three-stage gas com-          0.4%, much less dramatic than either two-stage combustion
              bustion are shown in Figure 19.35. It is seen that transferring      (with a “vertical” imbalance) or FGR fan operation. The same
              from single- to three-stage combustion at ~10% secondary             retrofit was performed on six neighboring TGM-94 boilers
              air flow yields NOx reductions of ~40 and ~63%, with tertiary        installed at this power plant.
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                   19.3.2.3 Special Features of Low-NOx Gas/Oil                                   When firing oil containing Nf, there are two sources of
                            Combustion on Utility Boilers                                      NOx formation: air nitrogen and fuel nitrogen. In addition
                   It was shown in Sections 19.1.2 and 19.2.2.2 that there are some            to the two mechanisms available for gas firing, a third mech-
                   utility boilers where NOx is higher while firing natural gas than           anism is available as well: oxidation of the partially
                   that experienced while firing No. 6 oil. For example, data                  destructed nitrogen-containing compositions that occur in the
                   obtained on the TGM-94 boilers presented in Figures 19.11 to                beginning of the flame, whose concentrations decrease
                   19.14 demonstrates that the NOx while gas firing is ~24 to                  slightly with increasing temperature.
                   27% higher than NOx data obtained while firing No. 6 oil                       Figure 19.10 shows calculated NOx curves for both nitro-
                   under the same load (~94%), O2 (1.4 ± 0.2%), and other                      gen sources, along with their summed values. It shows that
                   operational conditions.                                                     oxidation of 0.5% Nf can generate NOx of up to ~200 ppm.
                      This phenomenon (i.e., NOx while firing gas is higher than               In considering the processes in the comparatively cold fur-
                   NOx data obtained while firing No. 6 oil) has been experienced              naces designed for industrial and small utility boilers (50 to
                   during testing of many former U.S.S.R. utility boilers in the               100 MWe), the above 200 ppm will far outweigh the thermal
                   size range of 165 to 800 MWe. In some cases, NOx while firing               NOx formation. Because these processes are occurring at
                   gas exceeded the NOx while firing No. 6 oil (even containing                relatively low temperatures, they indicate relatively low NOx
                   0.67 to 0.73% Nf) by ~50%. On the contrary, on utility boilers              levels from these boilers and an oil firing NOx level much
                   in the size range of 25 to 80 MWe, the NOx while firing No.                 higher than the gas firing NOx level. In the 120 to 150 MWe
                   6 oil exceeded the NOx while firing gas by ~25%. Moreover,                  boilers, temperatures can reach 2900 to 3100°F (1600 to
                   as Nf values are increased (from 0.22 to 0.73%), the greater is             1700°C). Figure 19.10 indicates that the curves calculated for
                   the margin between the NOx while firing No. 6 oil and the                   gas and oil firing intersect within this temperature interval,
                   NOx while firing gas. Likewise, on industrial boilers, the NOx              indicating relatively equal NOx levels while firing either gas
                   was almost always higher while firing No. 6 oil, and differences            or oil. For units greater than 165 MWe, the flame temperature
                   of 24 to 36% and 12 to 18% were typically experienced with                  can reach between 3200 and 3500°F (1800 to 1900°C). This
                   ambient and preheated air, respectively. However, intermediate              temperature increase results in a gas firing NOx level much
                   results were obtained while testing utility boilers in the size             higher than the oil firing NOx level.
                   range of 100 to 150 MWe, where differences between the NOx                     The above explanation can be confirmed with the data
                   numbers for the two fuels are less than ±10%. The controversial             presented in Figure 19.36, where the ratio between NOx
                   data can be explained in terms of the well-known influence of               numbers obtained with gas and oil firing are considered as a
                   the flame temperature on NOx formation.                                     function of the furnace space heat release. Furnace designs
                      While firing natural gas containing no Nf, NOx can only                  for increasingly higher capacity utility boilers are usually
                   be generated by the oxidation of nitrogen contained in the                  (with very few exceptions) accompanied by a significantly
                   combustion air. This NOx generation can only occur by one                   increasing heat release as related to the furnace volume. Thus,
                   of two mechanisms: (1) thermal NOx formation due to flame                   the design of these boilers allows the analysis of the ratio
                   temperatures of at least 3000°F (1650°C), mostly in the burner              between NOx numbers and this design parameter. Despite
                   zone heat release (BZHR) space — its concentration rises                    experimental data deviations from the average empirically
                   with temperature according to an exponential dependence;                    established curve, the strong character of this dependence
                   and (2) prompt NOx formation in the beginning of flame                      cannot be doubted.
                   where the temperature level is significantly lower; under usual
                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   combustion conditions, its concentration is much less than
                   the thermal NOx concentration. Prompt NOx has a slight
                   dependency on temperature. Under certain furnace conditions
                                                                                               19.4           LOW-NOx BURNERS FOR
                   required for low-NOx combustion, the thermal NOx concen-                                   PACKAGED INDUSTRIAL
                   tration can be reduced to the prompt NOx concentration level                               BOILERS
                   — or even less. However, these conditions have little influ-                There are a few state-of-the-art low-NOx burner (SLNB)
                   ence on prompt NOx.                                                         designs developed for typical industrial packaged boiler
                      While firing natural gas (conditionally consisting of only               applications, including those of several burner manufacturers
                   methane), the maximum combustion temperature level depends                  (e.g., Todd Combustion, Coen, Forney, Alzeta, Peabody,
                   only on excess air and the combustion air temperature, as shown             Pillard, Babcock Hitachi, and others) and consulting compa-
                   in Figure 19.10. The corresponding NOx concentration curves,                nies (e.g., IGT, J.Lang, RJM, EPT, and others) in both the
                   calculated for excess air factor α = 1, are shown in Figure 19.10.          United States and other countries. A schematic for a typical
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                                                                                            1.3
                                                                                            1.2
                                                                                            1.1
                                                                                             1
                                                                                            0.9
                                                                                            0.8
                                                                                            0.7
                                                                                            0.6
                                                                                                  0          2        4        6       8        10       12                      14            16
                                                                                                                      furnace space heat release, KW / cub. ft
                                                                                                                                                                                                                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 19.36 The ratio between NOx numbers obtained with gas and oil firing are considered as a function of the
              furnace space heat release.
IFGR
                           GAS INLET
                                                                                                                                                                                                 LOW EXCESS AIR
                                                                                                                                                                                                 ZONE REDUCES
                                                                                                                                                                                                 FUEL NOx
                                                                                                                                                                          OIL ATOMIZER
                                                                                                                                                                          AIR SWIRLER
                                                                                                                                                                          STAGED INJECTOR GAS
                                                                                                                            AIR INLET
                                                                                                                            TERTIARY
                                                                                                           AIR INLET
                                                                                                      PRIMARY / SECONDARY
              packaged SLNB is depicted in Figure 19.37. This burner was                                                                   the inner gas poker assembly implemented in the prototype.
              developed using a standard venturi-type low-NOx burner as a                                                                  Also, the SLNB utilizes internal furnace flue gas recirculation
              prototype. By comparing the schematic for this burner with the                                                               (IFGR) instead of the external flue gas recirculation that was
              schematic for a typical standard venturi-type low-NOx burner                                                                 used by the prototype and other standard low-NOx burners.
              shown in Figure 19.5, it can be seen that whereas the air chan-                                                                 The SLNB shown in Figure 19.37 has been installed and
              nels are the same as in the standard low-NOx burner, the                                                                     tested at four industrial retrofit boilers where all existing
              SLNB has two completely independent gas supply units: the                                                                    auxiliary equipment, including fans, dampers, and combus-
              center fire gas (CFG) and a set of outer gas injectors, replacing                                                            tion control systems, was kept. Before installation, the burner
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30
10
                                                                                                      0
                                                                                                          0   20     40                  60                   80                   100
                                                                                                                    heat load, MMBTU/h
                   FIGURE 19.38 NOx vs. heat load with firing natural gas with ambient air in the packaged industrial boiler equipped with
                   the Todd Combustion low NOx burner.
                   and windbox were modeled in order to provide equal air                                                           The emission test data sets obtained on this boiler, while firing
                   distribution. The SLNBs have designed heat inputs ranging                                                     No. 6 oil (0.22% Nf) at full load, are shown in Figure 19.40. At
                   from 28 to 134 × 106 Btu/hr (8.2 to 39.3 MWt). At full load,                                                  O2 = 3.5%, the following data are recorded: NOx ~ 200 ppm,
                   the burners usually operate at moderate gas pressures                                                         CO ~ 100 ppm, and opacity < 10%. At partial loads, NOx is
                   (< 6 psig) and at reasonable register draft loss (RDL < 7 in.                                                 sufficiently less at the same O2, CO, and opacity.
                   or 180 mm w.c.). Test data obtained on two industrial boilers                                                    A significant NOx reduction (~15 to 20%) is realized
                   (one with ambient air and one with preheated air) are                                                         through the use of 4 to 5% IFGR while firing gas with ambient
                   described and compared below.                                                                                 air. The IFGR contains relatively high ICP concentrations and
                      The first application was a 70,000 lb/hr (32,000 kg/hr) B&W                                                has a temperature of about 1800 to 2000°F (980 to 1100°C).
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FM 103-70 boiler generating 250 psig (17 barg) saturated steam,                                               The same relative NOx reduction due to IFGR was experienced
                   firing natural gas with ambient air. The burner was designed                                                  while firing No. 6 oil, as shown in Figure 19.41. This figure
                   for 84.8 × 106 Btu/hr (25 MWt) at full load. Over a 100 to 25%                                                indicates an NOx reduction of ~20%. Although the IFGR tem-
                   load range, the installed burner has demonstrated excellent                                                   perature is higher as compared with gas firing (~200°F against
                   flame stability, high reliability, and highly efficient operation                                             2000°F), relatively higher ICP concentrations contained in this
                   while firing both natural gas and No. 6 oil as fuels. Measure-                                                flow provide the mentioned NOx reduction effect. For both
                   ment has shown that the noise level is less than 85 dBA.                                                      fuels, over the entire tested load range, there was no significant
                   Vibration of boiler/burner parts is at regularly accepted levels.                                             influence of IFGR on CO. There was also no influence on
                                                                                                                                 opacity while firing No. 6 oil.
                      NOx emission test data obtained on the above boiler is
                                                                                                                                    The second installation of the SLNB shown in Figure 19.37
                   illustrated in Figure 19.38. These data sets indicate that under
                                                                                                                                 was on a B&W FM boiler designed to generate 100,000 lb/hr
                   optimal combustion conditions, the SLNB typically generates
                                                                                                                                 (45,000 kg/hr) superheated steam at 415 psig (28 barg) and
                   NOx in the 23 to 28 ppm range and CO < 200 ppm (typically
                                                                                                                                 600°F (320°C), while firing natural gas with ~415°F (213°C)
                   < 100 ppm). Due to the advanced gas staging provided by
                                                                                                                                 preheated air. The specific features of this application as com-
                   this burner, O2 concentration changes in the range of 2.6 to
                                                                                                                                 pared to the prior application are the following:
                   5.1% had practically no impact on NOx and a relatively low
                   impact on CO (Figure 19.39). At 25% load, the emission data                                                          • 60% higher heat input (134 × 106 Btu/hr vs. 84.8 × 106
                   were close to the data obtained at full load, as shown in                                                              Btu/hr, or 39 MWt vs. 25 MWt )
                   Figures 19.38 and 19.39. These results were numerously                                                               • 45% hotter furnace (BZHR: 245 × 103 Btu/ft2-hr vs. 168
                   repeatable over a 7-month testing period.                                                                              × 103 Btu/ft2-hr)
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              FIGURE 19.39 CO vs. heat load with firing natural gas with ambient air in the packaged industrial boiler equipped with the
              Todd Combustion low NOx burner.
                                                                                            200                                                                            12
                                                                          NO @ O2=3%, ppm
                                                                                                                                                            N0x
                                                                                            150                                                                            9
                                                                                                                                                                                opacity %
                                                                                                                                                            opacity
                                                                                                                                                                                 O2, %
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                            100                                                                            6
                                                                                                                                                          02
50 3
                                                                                              0                                                                          0
                                                                                               40   50       60          70        80                  90             100
                                                                                                                  relative load, %
              FIGURE 19.40 NOx, O2, and opacity vs. relative heat load with firing No. 6 oil with ambient air in the packaged industrial
              boiler equipped with the Todd Combustion low NOx burner.
                                                   • pre-heated air (415 vs. 80°F, or 213 vs. 27°C)                            while CO was kept in the range of 30 to 90 ppm. This
                                                   • excess air 15% (vs. 23%)                                                  reduction effect is very similar to the ambient air data where
                                                   • significantly lower CO level required (100 vs. 200 ppm                    IFGR provided a 15 to 20% NOx reduction. These data con-
                                                     at O2 = 3%)                                                               firm that the effectiveness of IFGR, established with ambient
                                                   • required NOx = 0.22 lb/106 Btu (182 ppm at O2 = 3%)                       air, is similar to preheated air.
                                                   • available gas pressure < 10 psig (vs. ~15 psig, or 1 barg)
                                                                                                                                  The full load test data shown in Figure 19.42 have con-
                                                   • available register draft loss = 7.25 in. (18 cm) w.c.
                                                                                                                               firmed a previous conclusion based on the data obtained on
                 For this application, the IFGR was used to reduce NOx                                                         ambient air, that the ratio between injector and total gas flow
              from 160–180 ppm to 120–150 ppm (14 to 18% reduction),                                                           rates is the major parameter dictating NOx reduction under
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                   Boiler Burners
                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                579
FIGURE 19.41 Internal FGR impact on NOx with firing No. 6 oil with ambient air in the 30–100% load range.
                   FIGURE 19.42 NOx and CO emissions vs. injector gas flow rate/total gas flow rate ratio, at the boiler equipped with the
                   Todd Combustion low-NOx burner firing natural gas with preheated air at full load.
                   the natural gas staged combustion conditions formed with             NOx on O2 does not work for the gas staged combustion
                   SLNB implementation on packaged boilers — not only on                conditions formed by an SLNB. This confirms the conclusion
                   ambient air but also on preheated air.                               made based on the test data for ambient air.
                     There was an unsuccessful attempt to find an O2 influence            Unlike the typical well-documented test data obtained with
                   on NOx in the data, meaning that a regular dependence of             conventional low-NOx burners, indicating an NOx level that
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                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                   some extent on oxygen availability, if the temperature can be
              19.5  ULTRA-LOW EMISSION GAS                                         lowered sufficiently, thermal NOx from a natural gas flame
                    BURNERS                                                        can be reduced to less than 1 ppm. Figure 19.44 shows the
                                                                                   relationship between the adiabatic flame temperature and
              19.5.1 Background                                                    thermal NOx formation.
              NOx formation fundamentals were used to design an ultra-
                                                                                      In attaining ultra-low-NOx levels, prompt NOx also
              low-NOx burner with a gas injection and mixing system
                                                                                   becomes a significant emissions source. Under fuel-rich con-
              radically different from all other commercially available
                                                                                   ditions, particularly when stoichiometry is under 0.6, both
              low-NOx burners. The goal was to produce a burner capa-
                                                                                   HCN and NH3 can be formed through the extremely rapid
              ble of reliable operation with single-digit NOx generation
                                                                                   reaction of CH with N2 to form HCN and N. The following
              while firing nitrogen-free gaseous fuels, such as natural gas.
                                                                                   reactions are considered:
              A new gas mixing approach was incorporated into an estab-
              lished burner geometry that had been optimized over the years                                       CH + N 2 = HCN + N
              at the International Flame Research Foundation (IJmuiden,
              The Netherlands) to provide an extremely stable flame.                                                 N + H 2 = NH + H
                 Previous low-NOx burner designs focused primarily on the
                                                                                                                  NH + H 2 = NH 3
              reduction of NOx through techniques to reduce the formation
              of thermal NOx. Techniques such as fuel-air staging, flue gas                                     HCN + O 2 = NO + HCO
              recirculation, and steam injection serve to lower NOx emis-
              sions into the 20 to 30 ppm range by lowering the peak flame            Below a stoichiometry of 0.5, almost all NOx formed is
              temperatures. These methods do little to address the other           attributable to prompt NOx. The rate of formation of
              mechanism for NOx formation — prompt NOx — and thus                  prompt NOx is very rapid, being complete in under 1 ms.
              are not able to reliably reach single-digit NOx levels. Because      Although prompt NOx is temperature sensitive, the tem-
              some of these techniques also rely on delaying combustion            perature sensitivity is not as great as with thermal NOx.
              and lowering reaction temperatures, incomplete combustion            Unlike thermal NOx, simply lowering the peak flame tem-
              leads to increased CO and VOC emissions.                             peratures will not reduce the prompt NOx into the single-digit
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FIGURE 19.44 Relationship between the adiabatic flame temperature and thermal NOx formation.
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 19.45 HCN and NH3 formation at three flame temperatures.
                   range. As indicated by the curves in Figure 19.45, depicting              complete combustion, oxygen availability is limited, peak
                   HCN and NH3 formation at three flame temperatures, under                  flame temperature is lowered, and thermal NOx formation is
                   fuel-rich conditions and a temperature of 2400°F (1300°C),                reduced. It can be further reduced through other techniques,
                   20 ppm of prompt NOx still remain. To further control the                 such as the addition of FGR or steam injection. However, the
                   formation of prompt NOx, it is necessary to take steps in the             20 ppm of prompt NOx created in the initial fuel-rich zone
                   burner design to minimize the formation of sub-stoichiomet-               remains. It is this prompt NOx formation that has prevented
                   ric regions within the flame.                                             conventional low-NOx burners from achieving sub-10 ppm
                                                                                             NOx levels.
                   19.5.3 Ultra-low Emissions Burner Design                                    By “starting over” with NOx formation fundamentals, it
                   Most conventional low-NOx burners utilize staged combus-                  was determined that the most direct method of achieving very
                   tion to delay the mixing of fuel and air. By creating an initial          low NOx emissions from a natural gas flame is to: (1) avoid
                   fuel-rich combustion zone and adding air downstream to                    fuel-rich regions with their corresponding potential for
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              prompt NOx, and (2) lower the flame temperature to reduce             19.5.4 Ultra-low Emissions Burner
              thermal NOx to the desired level. To accomplish this, a burner
                                                                                           Operation
              design that avoids fuel-rich regions by rapidly mixing gaseous
                                                                                    The basic ultra-low emissions burner consists of a parallel-
              fuel and air near the burner exit was developed. The rapid
                                                                                    flow air register with no moving parts. Combustion air pre-
              mixing results in a nearly uniform fuel/air mixture at the
                                                                                    mixed with FGR enters the register, and the entire mixture
              ignition point (Figure 19.46), which virtually eliminates
                                                                                    then passes through a set of axial swirl vanes. These vanes,
              prompt NOx formation. This rapid and complete combustion
                                                                                    which are attached to a central gas reservoir, have hollow
              is also what results in the virtual elimination of both CO and
                                                                                    bases that are perforated for gas injection. Thus, the swirl
              VOC formation by the burner. Thermal NOx is then mini-
                                                                                    vanes also serve as the gas injectors and provide the burner’s
              mized using FGR, which is mixed with combustion air
                                                                                    near-perfect fuel/air mixing (Figure 19.47).
              upstream of the burner, to control flame temperature. In effect,
                                                                                       For burner heat inputs greater than about 40 × 106 Btu/hr
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 19.49 NOx emission from the ultra-low emissions burner firing into the firetube boiler for ambient, 300°F preheat,
              and 500°F preheat as a function of FGR rate.
FIGURE 19.50 Data taken from the application of an ultra-low emissions burner on a new 230,000 lb/hr “A” type Nebraska boiler.
                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              SCR or SNCR. In addition, the use of an ultra-low emissions          Figure 19.53), the most common of which is the “Y-Jet,” to
              burner can be accomplished at much lower capital installation        “internal mix” atomizers. The atomizing medium is typically
              costs, lower annual operating costs, and without the added           either steam or pressurized air.
              complication of ammonia handling and emissions.                         Internal mix atomizers typically require a relatively large
                                                                                   amount of atomizing medium consumption, on the order of
                                                                                   0.2 to 0.3 lb medium per 1 lb fuel, but provide excellent
              19.6            ATOMIZERS FOR BOILER                                 atomization quality, with a typical SMD of 75 µm at a fuel
                              BURNERS                                              viscosity of 100 SSU. The supply pressure for the atomizing
              Boiler burners are designed to utilize the many types of             medium must be kept above the oil pressure to prevent oil
              mechanical, dual fluid, and occasionally rotary cup oil atom-        from entering the atomizing medium supply lines. Operating
              izers presently used in most power plants. Most of these             pressures for internal mix atomizers range between 85 and
              atomizers are fitted onto oil “guns” similar to the one shown        300 psig (5.8 and 20 barg) for the oil, with the atomizing
              in Figure 19.52. For dual fluid, these range from steam assist,      medium pressure typically regulated to a differential pressure
              air blast, or other “external mix” atomizers (depicted in            15 to 30 psig (1 to 2 barg) higher than the oil. The turndown
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              FIGURE 19.53 Steam assist, air blast, or other “external mix” atomizers.
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                  Chapter 20
                                                                  Flares
                                                                                                                                  Robert Schwartz, Jeff White, and Wes Bussman
TABLE OF CONTENTS
                                                                                                                                            589
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              20.1                                                         FLARE SYSTEMS                                                                          1. The composition of the gases handled by a flare often
                                                                                                                                                                     vary over a much wider range.
              During the operation of many hydrocarbon industry plants,
                                                                                                                                                                  2. Flares are required to operate over a very large turndown
              there is the need to control process conditions by venting
                                                                                                                                                                     ratio (maximum emergency flow down to the purge flow
              gases and/or liquids. In emergency circumstances, relief                                                                                               rate).
              valves act automatically to limit equipment overpressure. For                                                                                       3. A flare burner must operate over long periods of time
              many decades of the last century, process vents and pressure                                                                                           without maintenance.
              relief flows were directed, individually or collectively, to the                                                                                    4. Flare burners operate at high levels of excess air as com-
              atmosphere unburned. Gases separated from produced oil                                                                                                 pared to other burners.
              were also vented to the atmosphere unburned. The custom of                                                                                          5. Many flare burners have an emergency relief flow rate
              unburned venting began to change in the late 1940s when                                                                                                that produces a flame hundreds of feet long with a heat
              increased environmental awareness and safety concerns cre-                                                                                             release of billions of Btu per hour (Figure 20.3).
              ated the desire to convert vents to continuously burning flares.
                 Burning brought about the need for pilots and pilot ignitors                                                                                20.1.1 Purpose
              and the need for awareness of the design factors and consid-                                                                                   The wide range of applications for flares throughout the
              erations imposed on a system by a flame at the exit. In many                                                                                   hydrocarbon and petrochemical industries challenges plant
              cases, the desirable flaring of the gases was accompanied by                                                                                   owners and designers as well as the flare equipment designer.
              objectionable dense black smoke as shown in Figure 20.1.                                                                                       The purpose of this chapter is to provide an understanding of
              In addition to their development of flare pilots and ignition                                                                                  the design considerations and factors influencing flare system
              systems, industry pioneers John Steele Zink and Robert                                                                                         and equipment design. The most frequently used flaring tech-
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              Reed1 invented the first successful smokeless flare burner                                                                                     niques and associated equipment are also discussed.
              (Figure 20.2) in the early 1950s. This invention was an
              important point in the transition from unburned vents to                                                                                       20.1.2 Objective of Flaring
              flaring and from vent pipes to burners specifically designed                                                                                   Regardless of the application, flare systems have a common
              for flare applications.                                                                                                                        prime objective: safe, effective disposal of gases and liquids…at
                 While the combustion fundamentals discussed earlier in                                                                                      an affordable cost. There should be constant awareness that
              this book continue to apply, flare burners differ from process                                                                                 flare system design and operation must never compromise the
              and boiler burners in several respects, including:                                                                                             prime objective.
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Flares 591
                   FIGURE 20.2 An early model smokeless flare.                                 FIGURE 20.3 Major flaring event. (Note that the stack
                                                                                               height is over 300 ft (90 m).)
                   20.1.3 Applications
                   Within the hydrocarbon and petrochemical industries, from                   wide range of flare applications and site conditions, often
                   the drilling site to the downstream petrochemical plant and at              requires that the flare system be custom designed.
                   many facilities in between, flares are utilized to achieve the
                   prime objective. Individual flare design capacity can range                 20.1.4 Flare System Types
                   from less than 100 to more than 10 million lb/hr. Material                  Flares for service in the hydrocarbon and petrochemical
                   released into a flare system is often a mixture of several con-             industries are generally of the following types or combina-
                   stituents that can vary from hydrogen to heavy hydrocarbons                 tions thereof:
                   and may at times include inert gases. Some of the heavy
                   hydrocarbons may be in the gaseous state when released into                        • single point
                   the system, but will be condensed as they cool.                                    • multi-point
                      While this chapter focuses on flares and flaring in the                         • enclosed
                   hydrocarbon industry, many of the subjects discussed also
                   relate to flare applications in other industries.                           20.1.4.1 Single-Point Flares
                      The design requirements for a given facility are seldom                  Single-point flares can be designed with or without smoke
                   identical to those of any other facility. This variation, plus the          suppression equipment and are generally oriented to fire
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              FIGURE 20.4 Typical elevated single-point flare.                     FIGURE 20.6 A grade-mounted, multi-point LRGO
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
flare system.
FIGURE 20.5 Typical pit flare installation. FIGURE 20.7 Elevated multi-point LRGO flare system.
              upward, with the discharge point at an elevated position rel-        20.1.4.3 Enclosed Flares
              ative to the surrounding grade and/or nearby equipment               Enclosed flares are constructed so as to conceal the flame
              (Figure 20.4). Occasionally, a single-point flare is posi-           from direct view. Additional benefits can be the reduction in
              tioned to fire more or less horizontally, usually over a pit or      noise level in the surrounding community and minimization
              excavation (Figure 20.5). Horizontal flares are generally lim-       of radiation. Capacity can be the system maximum, but is
              ited to drilling and production applications where there is a        often limited to a flow rate that will allow the connected facil-
              high probability of nonrecoverable liquids.                          ity to start up, shutdown, and operate on a day-to-day basis
                                                                                   without exposed flame flaring. Multiple enclosed flares are
                                                                                   sometimes used to achieve the desired hidden flame capacity.
              20.1.4.2 Multi-point Flares
                                                                                   Each of the two units shown in Figure 20.8 is designed for
              Multi-point flares are used to achieve improved burning by           100 metric tons/hr of waste gas from ethylene furnaces dur-
              routing the gas stream to a number of burning points. For            ing startups.
              refinery or petrochemical plant applications, multi-point
              flares are usually designed to achieve smokeless burning of          20.1.4.4 Combination Systems
              all flows. Such flares often divide the multiple burning             A common combination is an enclosed flare of limited capac-
              points into stages to facilitate better burning. The multiple        ity paired with an elevated flare (Figure 20.9) that is sized for
              burning points can be arranged in arrays located at or near          the maximum anticipated flow to the system. Such a pairing
              grade (Figure 20.6) or at an elevated position (Figure 20.7).        results in a flare system that only has an exposed flame
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Flares 593
              20.1.5.3 Enclosed Flares                                                                                                  costs, and can lead to shorter service life. Understatement can
              For an enclosed flare, the major required and optional com-                                                               result in an ineffective or unsafe system.
              ponents are:                                                                                                                 Flow rate obviously affects such things as the mechanical
                                                                  1.   flare burners, with or without smoke suppression capability
                                                                                                                                        size of flare equipment. Its influence, however, is much
                                                                  2.   pilot(s), pilot ignitor(s), and pilot flame detector(s)          broader. For example, increased flow generally results in an
                                                                  3.   enclosure/structure with protective refractory lining            increase in thermal radiation from an elevated flare flame,
                                                                  4.   a fence to limit access                                          which in turn will have a direct impact on the height and
                                                                  5.   knockout drum (optional)                                         location of a flare stack.
                                                                  6.   liquid seal (optional)                                              The maximum emergency flow rate can occur during a
                                                                  7.   piping and optional heat shielding                               major plant upset such as the total loss of electrical power or
                                                                  8.   auxiliary equipment:                                             cooling water. However, some processes have their maximum
                                                                       a. staging equipment and instrumentation (optional)              flow rate under less obvious emergency conditions such as
                                                                       b. flow, composition, heating value, or video monitoring         partial loss of electrical power whereby, for example, pumps
                                                                           (optional)                                                   continue to supply feedstock to a disabled section of the plant.
                                                                                                                                           The duration of the maximum flow rate can affect flare
              20.2                                                       FACTORS INFLUENCING                                            system design in a number of ways. For example, the length
                                                                                                                                        of time a worker is exposed to heat from the flare flame can
                                                                         FLARE DESIGN
                                                                                                                                        affect the choice of allowable heat flux. Usually, a very short
              As one approaches the specification of a flare system, there
                                                                                                                                        duration relief into a flare system can result in a relatively high
              must be an awareness of certain factors that influence size,
                                                                                                                                        allowable radiation. In contrast, a very long duration, high flow
              safety, environmental compliance, and cost. Major factors
                                                                                                                                        relief may require a lower design allowable radiation level.
              influencing flare system design2 include:
                                                                                                                                           In the past, the maximum flow rate was sometimes deter-
                                                                   •   flow rate                                                        mined by summing the flow rates of each of the connected
                                                                   •   gas composition                                                  relief devices. This approach resulted in an unrealistically large
                                                                   •   gas temperature                                                  maximum flow rate because the assumption that all the con-
                                                                   •   gas pressure available                                           nected devices relieve simultaneously is often false. Modern
                                                                   •   utility costs and availability                                   plant design and analysis tools such as dynamic simulation
                                                                   •   safety requirements                                              allow the process designer to define more appropriately the
                                                                   •   environmental requirements                                       maximum flow rate to the flare. Careful attention to the design
                                                                   •   social requirements                                              of control and electrical power systems can significantly
                 Information regarding each of these factors is normally                                                                reduce flare loads as well.3
              available to the plant designer and/or the plant owner. These                                                                In addition to the maximum flow conditions, it is also
              factors define the requirements of the flare system and should                                                            important to explicitly define any flow conditions under which
              be made available to the flare designer as early in the design                                                            the flare is expected to burn without smoke. These flow con-
              process as possible.                                                                                                      ditions can come from process upsets, from incidents such as
                 In reviewing the list of factors, it can be seen that the first                                                        a compressor trip-out, or from various operations of the plant,
              four factors are all determined by the source(s) of the gas                                                               including startup, shutdown, and blowdown of certain equip-
              being vented into the flare header. The next factor is related                                                            ment. Attempts to shortcut the establishment of factually
              to the design of the facility itself and its location. Safety,                                                            based smokeless burning scenarios by setting the smokeless
              environmental, and social requirements all relate to regulatory                                                           flow rate as a percentage of the maximum emergency flow
              mandates, the owner’s basic practices, and the relationship                                                               rate can lead to disappointment or needless expense.
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Flares 595
              and stack guy wire tensioning are just three areas where              the plant designer should also specify the anticipated inlet size.
              problems can arise. Both high and low temperatures have the
              potential to create issues that affect the design of the stack.       20.2.5 Utility Costs and Availability
              In cases where the relief gas source pressure is extremely            In many cases, the momentum of the gas stream alone is not
              high, the plant designer should account for cooling by expan-         sufficient to provide smokeless burning. In such cases, it is
              sion across the relief or vent valve. Where the gas temperature       necessary to add an assist medium to increase the overall
              at the source is significantly different from ambient, it is          momentum to the smokeless burning level. The most com-
              advisable to estimate the heat loss or gain through the flare         mon medium is steam, which is injected through one or
              header walls from the source to the flare stack and to deter-         more groups of nozzles. An alternative to steam is the use of
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Flares 597
                   a large volume of low-pressure air furnished by a blower.                                                                  Most specifications call for a maximum radiation level of
                   Local energy costs, availability, reliability, and weather con-                                                            1500 Btu/hr/ft2 (4.73 kW/m2) for emergency flaring condi-
                   ditions must be taken into account in selecting the smoke-                                                                 tions. Some specifications define an additional radiation level
                   suppression medium.                                                                                                        limit of 500 Btu/hr/ft2 (1.58 kW/m2) for unprotected individ-
                      Purge and pilot gas must be supplied to the flare at all                                                                uals during long-duration flaring events. Special consider-
                   times. The amount of each gas required is related to the size                                                              ation should be given to radiation limits for flares located
                   of the flare system. The composition of the purge gas and/or                                                               close to potential public access areas along the plant boundary
                   the composition of the waste gas can also influence the purge                                                              where public exposure could occur. See Section 20.3.5 for
                   gas requirement. Pilot gas consumption can be affected by                                                                  more detail on flame radiation.
                   the combustion characteristics of the waste gases. The gases                                                                  Reliable ignition at the flare tip is one of the most funda-
                   used for purge gas and to fuel the flare pilots should come                                                                mental safety requirements, ensuring that gases released to
                   from the most reliable source available.                                                                                   the flare are burned in a defined location. Dependable burn-
                      Purge gas can, in principle, be any noncorrosive gas that                                                               ing also ensures destruction of potentially toxic releases. The
                   does not contain oxygen and does not go to dew point at any                                                                prime objective (Section 20.1.2) demands reliable burning
                   expected conditions. An attractive option for purge gas may                                                                of the flare. The subject is covered in more detail in Sections
                   be a mixture of nitrogen and a non-hydrogen-containing fuel                                                                20.3.1 and 20.4.2.
                   gas such as natural gas or propane. For example, a 300 Btu/scf
                                                                                                                                                 Hydraulics of the flare system determine back-pressure on
                   mixture of nitrogen and propane can be effective as a purge
                                                                                                                                              relief valves. Improper initial system sizing or subsequent
                   medium. Such a mixture presents a number of benefits when
                                                                                                                                              additions to the flare relief loads can prevent a unit from
                   compared to fuel gas alone, including:
                                                                                                                                              achieving its maximum relief rate when necessary and create
                                                                          • reduced CO2 emissions                                             an over-pressure risk in the plant. Section 20.3.2 provides
                                                                          • potential cost savings if nitrogen is less expensive              further discussion on the effect of relief valve selection on
                                                                          • higher reliability because either supply alone can func-          the design of the flare system.
                                                                            tion as purge gas                                                   Prevention of air infiltration should be a consideration when
                                                                          • reduced wear-and-tear on the flare burner                         developing operations and maintenance plans for the flare sys-
                                                                                                                                              tem and connected equipment. Air sources include the flare tip
                   20.2.6 Safety Requirements                                                                                                 exit, loop seals on vessels, low point drains, high point vents,
                   Almost every aspect of flare design involves some safety con-                                                              and flanges. These issues are discussed in Section 20.3.4.
                   cerns. Safety concerns include thermal radiation from the
                   flare flame, reliable ignition, hydraulic capacity, air infiltra-
                                                                                                                                              20.2.7 Environmental Requirements
                   tion, and flue gas dispersion. Certain aspects of safety are
                   dictated by the basic practices of the owner. For example, the                                                             Flares can affect their environment by generating smoke,
                   owner’s safety practices usually set the allowable radiation                                                               noise, or combustion products. Regulatory agencies sometimes
                   from the flare flame to people or equipment. Therefore, it is                                                              define limits in some or all of these areas. In many cases, it is
                   not surprising that the allowable radiation level will vary                                                                necessary to inject an assist medium such as steam in order to
                   from owner to owner.                                                                                                       achieve smokeless burning and to meet smoke emission regu-
                      A common point of variation involves the treatment of solar                                                             lations. The injection of the steam and the turbulence created
                   radiation relative to the allowable level. Experience has shown                                                            by the mixing of steam, air, and gas cause the emission of
                                                                                                                                              sound. The sound level at various points inside and outside the
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Flares 599
                                                                                                                                    MW    T
                                                                                                                    Veq = Q            ×                         (20.1)
                                                                                                                                    29   520
                                                                                     where Veq             =   Volumetric equivalent, SCFH
                                                                                           Q               =   Waste gas flow, SCFH
                                                                                           MW              =   Waste gas molecular weight
                                                                                           T               =   Waste gas temperature, R
                                                                                     Veq is the volumetric flow of air that would produce the same
                                                                                     velocity pressure as the waste gas flow in the same size line.
                                                                                     While this method gives general guidance, it should not
                                                                                     replace a more thorough hydraulic analysis.
                                                                                        Properly utilized, a higher allowable pressure drop for the
                                                                   (a)               flare system provides an opportunity for capital cost savings,
                                                                                     operating cost savings, and reduced downtime due to longer
                                                                                     equipment life. While the capital cost savings are most appar-
                                                                                     ent on entirely new flare systems, all of these savings can be
                                                                                     realized on existing systems as well.
                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                        Figure 20.14 shows an offshore flare that received liquids
                                                                                     in the manner described above. The last two photos, (b) and
                                                                                     (c), were taken only a few minutes apart and illustrate how
                                                                                     rapidly this situation can deteriorate.
                                                                                        Incorporation of a properly designed and operated knockout
                                                                                     drum into the flare system can minimize these problems. There
                                                                                     are three basic types of knockout drums that can be incorporated
                                                                                     into a flare system: a horizontal settling drum, a vertical settling
                                                                                     drum, and a cyclone separator. For more information on each
                                                                                     of these types of knockout drums, refer to Section 20.4.3.
                                                                   (c)
                                                                                        Regardless of the knockout drum concept, the holding
              FIGURE 20.14 Liquid carryover from an elevated                         capacity of the drum should be carefully considered. An
              flare. (a) Start of flaring event. (b) Liquid fallout and flaming      overfilled knockout drum can obstruct gas flow to the flare,
              rain from flare flame. (c) Flaming liquid engulfs flare stack.         resulting in over-pressure to upstream systems. In the
                                                                                     extreme case, an overfilled knockout drum can result in blow-
                                                                                     ing large volumes of liquids up the flare stack. Liquid draw
              of identifying those cases that are likely to govern the hydrau-       off capacity must be adequate to prevent overfilling of the
              lics, a comparative measure of flow rates is useful. The               drum. In addition, a backup pump and drive means should
              volumetric equivalent, or Veq, is one measure used to identify         be considered. Liquid recovered from the knockout drum
              the hydraulically controlling case:                                    must be carefully disposed of or stored. Flare header piping
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                   must be sloped properly to prevent low point pockets where                                                     negative pressure. Operation of the flare system under negative
                   liquids can accumulate.                                                                                        pressure greatly increases the potential of air infiltration into
                                                                                                                                  the header system through leaks, open valves, or flanges, or
                   20.3.4 Air Infiltration                                                                                        through the tip exit by decanting in the stack. Such leakage is
                   Infiltration of air into a flare system can lead to flame burnback,                                            known to have occurred during the servicing of relief valves.
                   which in turn could initiate a destructive detonation in the sys-                                                 Installation of a liquid seal in the system can produce
                   tem. Often, burnback can only be observed at night. Air can                                                    positive flare header pressure although the pressure down-
                   enter the flare system by one or more of the following scenarios:                                              stream of the seal is negative. This greatly reduces the poten-
                           • through stack exit by buoyant exchange, wind action, or                                              tial of air leakage into the system. Because a liquid seal can
                             contraction                                                                                          also be a barrier to air entering the header from the flare stack,
                           • through leaks in piping connections                                                                  locating the liquid seal in the base of the stack offers maxi-
                           • as a component of the waste gas                                                                      mum protection of the header system. In this position, the
                                                                                                                                  liquid seal can also be designed to isolate the flare ignition
                   Prevention measures are available to address each of the air
                                                                                                                                  source from the flare header and the process units.
                   infiltration mechanisms.
                                                                                                                                     Oxygen-containing gases should be segregated from the
                      Purge gas is often injected into the flare system to prevent
                                                                                                                                  main flare system. Waste gases that contain oxygen present
                   air ingression through the stack exit. The quantity of purge
                                                                                                                                  a special design challenge. The risk of flashback in systems
                   gas required is dependent on the size and design of the flare,
                                                                                                                                  handling such gases can be minimized through the use of
                   the composition of the purge gas, and the composition of any
                                                                                                                                  flame/detonation arrestors, special liquid seals, and/or the use
                   waste gas that could be present in the system following a vent
                                                                                                                                  of specialized flare burners. The presence of more than a trace
                   or relief event. In general, the lower the density of the gas in
                                                                                                                                  amount of oxygen (more than 1% by volume) in a waste gas
                   the flare stack, the greater the quantity of purge gas necessary
                                                                                                                                  stream creates a separate design consideration discussed in
                   for the safety of the system. The purge gas requirement can
                                                                                                                                  Section 20.3.8.
                   be reduced using a conservation device such as a John Zink
                   Airrestor or Molecular Seal. The cost and availability of the                                                  20.3.5 Flame Radiation
                   purge gas will guide the choice of such a device.                                                              As the waste gases are burned, a certain portion of the heat
                      Contraction of gas in the flare system occurs due to the                                                    produced is transferred to the surroundings by thermal radia-
                   cool-down following the flaring of hot gases. The rate of                                                      tion. Safe design of a flare requires careful consideration of
                   contraction will accelerate dramatically if the cooling leads                                                  the thermal radiation. The radiation limits discussed in Sec-
                   to condensation of components of the contained gas. Contrac-                                                   tion 20.2.6 can become the basis for determining the height
                   tion risk can be minimized by use of the Tempurge system.8                                                     of the flare stack and its location. For a given set of flare flow
                   Tempurge senses conditions in the flare header and initiates                                                   conditions, the radiation limits can usually be met by adjust-
                   the introduction of extra purge gas to offset contraction.                                                     ment of the flare stack overall height and/or the use of a lim-
                      An elevated flare stack filled with lighter than air gas will                                               ited access area around the flare. The flare height and/or size
                   have a negative pressure at the base created by the difference                                                 of the limited access area can affect the economics of the
                   in density between the stack gas and the ambient air. The gas                                                  plant. For plants with limited plot area (or for ships), an
                   density in the stack is related to the molecular weight of the                                                 enclosed flare can be employed to meet radiation restrictions.
                   gas and its temperature. Equation (20.2) defines the pressure                                                  Water spray curtains have also been used to control radiation
                   at the base of a flare stack at very low flow conditions such                                                  on offshore platforms.
                   as purge.
                                                                                                                                     In Chapter 3, radiative heat transfer was described in the-
                                                 Pbase =
                                                                   (
                                                             27.7 H ρgas − ρamb   )                    (20.2)
                                                                                                                                  oretical terms. Radiation from a flame to another object is
                                                                                                                                  determined by:
                                                                       144
                                                                                                                                        • flame temperature
                   where Pbase             =    Static pressure at base of stack, in. w.c.                                              • concentrations of radiant emitters in the flame (e.g.,
                         H                 =    Height of stack above inlet, ft                                                           CO2, H2O, and soot)
                         ρgas              =    Gas density in stack, lb-m/ft3                                                          • size, shape, and position of the flame
                         ρamb              =    Density of atmospheric air, lb-m/ft3                                                    • location and orientation of the target object relative to
                                                                                                                                          the flame
                      If a negative static pressure exists at the base of the stack,                                                    • characteristics of the intervening space between the
                   then at low flows the entire flare header system will be under     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---     flame and the object
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                 Calculations based on theory may be feasible within the                                         where K         =   Radiation, Btu/hr-ft2
              well-defined confines of a furnace operating at a steady con-                                            τ         =   Atmospheric transmissivity
              dition. Unfortunately, most of these factors cannot be accu-                                             F         =   Radiant fraction
              rately defined for a flare flame in the open air.                                                        Q         =   Heat release, Btu/hr
                 Because temperature appears in the radiation equation to                                              D         =   Distance from the heat epicenter to the object, ft
              the fourth power, it is clearly a dominant factor. Despite its
              importance, the temperature of a flare flame is extremely                                             Many of the complexities of the full theoretical treatment
              difficult to measure or estimate. An error of only 10% in                                          are lumped into the empirically determined radiant fraction.
              absolute temperature affects the calculated radiant heat trans-                                    This factor includes flame temperature effects, gas and soot
              fer by over 40%. Observers have noted variations in local                                          emissivity, mean beam length, and other flame shape issues.
              flame temperature as high as 1000°C (1800°F) between the                                           The distance factor disguises a number of subtleties that arise
              core and the cooler outer surface of an open burning flame.                                        as a result of flame shape prediction, including flame length,
              Figure 20.15 shows a thermogram of a flare flame. In the                                           flame trajectory, and position of the heat epicenter. Neverthe-
              thermogram, white represents the highest temperature and                                           less, this type of simplified approach has been used in one
              dark blue the lowest. Thus, only the small, bright yellow zone                                     form or another to estimate radiation from flare flames for
              is at a high temperature. The temperature falls rapidly as one                                     many years.
              approaches the outer edge of the flame envelope.                                                      Several published methods are available for preliminary
                 The temperature of a flame is influenced by its interaction                                     estimation of flare radiation and stack heights. An article by
              with its surroundings. The availability of ambient air causes                                      Schwartz and White9 presents a detailed discussion of flare
              the outer portions of the flame envelope to cool. In addition,                                     radiation prediction and a critical review of published meth-
              the flame will radiate both to cold outer space and to relatively                                  ods. Based on Example 2 in the referenced paper, Figure 20.17
              warmer objects on Earth. Therefore, it is not surprising that                                      provides a visual comparison of the stack heights determined
              observations indicate peak flare flame temperatures far less                                       by each of several radiation methods and the relative equip-
              than the calculated adiabatic flame temperature. To approach                                       ment cost associated with each stack height. Plant designers
              flare radiation from a theoretical basis, local flame tempera-                                     and users alike must be cognizant that traditional methods of
              ture, which varies substantially throughout the flare flame,                                       calculating radiant heat intensities are neither consistently
              would need to be predicted with greater accuracy than present                                      conservative nor consistently optimistic. Long ago, the John
              tools allow.                                                                                       Zink Company recognized the limitations and risks associated
                 The other factors listed are also very difficult to determine.                                  with the traditional methods and undertook the development
              The concentrations of substances that are radiant emitters                                         of proprietary methods for radiation prediction. The latest
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Flares 603
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 20.16 API radiation geometry.
                   prediction methods capture the effect of flare burner design,                Briefly, energy transformation entails conversion of the inter-
                   gas quantity and composition, various momenta, smokeless                  nal energy (pressure) of the waste gas to kinetic energy (veloc-
                   burning rate and smoke formation on the flame shape, and                  ity). Designs for high-pressure flares (5 to 10 psig or more) exist
                   radiant characteristics.                                                  that require no supplemental assist medium. Systems employ-
                                                                                             ing this technique have been very successful and enjoy low
                                                                                             operating cost and an excellent service life.
                   20.3.6 Smoke Suppression
                                                                                                Steam injection is the most common technique for adding
                   Smokeless burning is a complex issue that involves many of                momentum to low-pressure gases. In addition to adding
                   the system defining factors discussed in Section 20.2. In choos-          momentum, steam also provides the smoke suppression ben-
                   ing the best smoke suppression method, the flare designer is              efits of gas dilution and participation in the chemistry of the
                   guided by his/her experience in interpreting the job-specific             combustion process. The effectiveness of steam is demon-
                   information received relative to each of these factors.                   strated in the series of photographs shown in Figure 20.18.
                      Smokeless burning, in general, occurs when the momentum                In frame (a), there is no steam injection; in frame (b), steam
                   produced by all of the employed energy sources educts and                 injection has just begun; and in frame (c), steam injection has
                   mixes sufficient air with the waste gas. For smokeless burn-              achieved smokeless burning.
                   ing, a key issue is the momentum of the waste gas as it exits                Some plants have steam available at several different pres-
                   the flare burner. In some cases, the waste gas stream is avail-           sure levels. There is often an operating cost advantage to using
                   able at a pressure that, if properly transformed, can provide             low-pressure steam (30 to 50 psig). The plant designer must
                   the required momentum. If the waste gas pressure (momen-                  balance this operating cost advantage against the increased
                   tum) is not adequate for smokeless burning, the flare designer            piping costs associated with low-pressure steam. Also, while
                   must enlist assistance from another energy source (e.g., steam            the flare may achieve the design smokeless rate at the maxi-
                   or low-pressure air). In some cases, a combination of energy              mum steam pressure, steam consumption at turndown firing
                   sources can be effective.                                                 rates below the maximum may be higher than expected.
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FIGURE 20.17 Comparison of stack height and relative cost for various radiation calculation methods.
              Because most flaring events involve relatively low flow rates,          considered to constitute noise. Flaring sound is generated
              performance under these turndown conditions must be care-               by at least three mechanisms:
              fully considered.
                                                                                           1. by the gas jet as it exits the flare burner and mixes with
                 Low-pressure (0.25 to 1.0 psig) air is utilized in cases where
                                                                                              surrounding air
              gas pressure is low and steam is not available. The supplied
                                                                                           2. by any smoke suppressant injection and associated mixing
              air adds momentum and is a portion of the combustion air
                                                                                           3. by combustion
              required. Figure 20.19 shows another series of photographs
              that illustrates the effectiveness of air assistance. Frame (a)            Upstream piping and valves associated with the source of
              shows the flare with no assist air. The blower is turned on in          the relief gas may also create substantial noise levels that are
              frame (b), but because the blower requires some time to reach           carried along the flare header and exit through the flare tip.
              full speed, the complete effect of air injection is not seen until         At the maximum smokeless flaring rate of a steam- or air-
              frame (d). The gas being flared in this case is propylene.              assisted flare burner, gas jet noise is usually a minor contrib-
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                 Generally, the blower supplies only a fraction of the com-           utor. The noise generated by the second mechanism can be
              bustion air required by the smokeless flow condition. For most          mitigated by use of low noise injectors, mufflers, and careful
              designs, 15 to 50% of the stoichiometric air requirement is             distribution of suppressant. The Steamizer™ flare burner
              blown into the flame. The remainder of the required air is              shown in Figure 20.20 is of low noise design with additional
              entrained along the length of the flare flame.                          noise reduction coming from a muffler concept first developed
                                                                                      for use on enclosed ground flares. Careful design can reduce
              20.3.7 Noise/Visible Flame                                              flaring noise levels by a factor of 75% or more (6 dB or more).
              The energy released in flare combustion produces heat,                     Where the light from a flare flame is objectionable, an
              ionized gas, light, and sound. Most plants are equipped                 enclosed flare is a good selection. A properly sized enclosed
              with elevated flares that by their nature broadcast flaring             flare can eliminate visible flame for all cases except emer-
              sound to the plant and to the surrounding neighborhood. In              gencies. An equal benefit of an enclosed flare is the reduction
              some cases, the sound level becomes objectionable and is                of flaring noise.
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Flares 605
                                                                         (a)                                                          (b)
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                         (c)                                                          (d)
              FIGURE 20.19 Effectiveness of air in smoke suppression: (a) no blower air, (b) start blower, (c) air flow increasing,
              and (d) smokeless.
              lent diffusion flame is produced. The flame may be an                    20.4.1.2 Simple Steam Assisted
              attached or detached stable flame. The exit velocity of a flare          The first smokeless flares were adaptations of simple utility
              burner is dependent on the waste gas composition, the spe-               flares. This basic design has been improved over the years
              cific design of the flare burner, and the allowable pressure             with multi-port nozzles to reduce steam injection noise, opti-
              drop. In some cases, the exit velocity can safely reach                  mized injection patterns to improve steam efficiency, and
              Mach 1. It should be noted that some flares or flare relief              optional center steam injection to reduce damaging internal
              cases are subject to regulations that limit the exit velocity.           burnback. Figure 20.23 shows a modern example of this
                 Optional features that can extend equipment service life              design. A steam manifold, often referred to as the upper steam
              include windshields and refractory lining. The Zink double               manifold or ring, is mounted near the exit of the flare tip. The
              refractory (ZDR) severe service flare tips (Figure 20.22) use            steam ring can be designed for steam supply pressures nor-
              refractory linings internally and externally to protect the tip          mally ranging from 30 to 150 psig. Several steam injectors
              against both internal burning and flame pulldown outside the             extend from the manifold and direct jets of steam into the
              tip. Alternatively, center steam is sometimes used to help avoid         waste gas as it exits the flare tip. The steam jets inspirate air
              internal burning instead of an internal refractory lining to extend      from the surrounding atmosphere and inject it into the gas
              tip life. This approach is most effective in climates where freez-       with high levels of turbulence. These jets also act to gather,
              ing is not an issue. Center steam is a relatively inefficient means      contain, and guide the gases exiting the flare tip. This prevents
              to control smoke because it does not entrain air, which is nor-          wind from causing flame pulldown around the flare tip.
              mally an essential part of any smoke suppression strategy.               Injected steam, educted air, and relief gas combine to form a
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Flares 607
                                                                                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                    upward through the annular space between the flare stack and
                                                                                    the gas riser.
                                                                                       The first air-assisted flare applications were associated with
                                                                                    operations some distance from the main plant or totally remote
                                                                                    from plant utilities support. Early air flares were often designed
                                                                                    to flare small to moderate flow rates. The success of these flares
                                                                                    led to the use of air assist on flares of greater capacity. More
                                                                                    recently, air-assisted flares have come into use as the flare for
                                                                                    large process facilities. The Flame Similarity Method and the
              FIGURE 20.24 Perimeter:area ratio as a function of                    related near field mixing region models discussed in Chapter 8
              tip size for a simple steam-assisted flare.                           are examples of the design tools necessary for cost-effective
                                                                                    application of air-assisted flares. Today, air flare designs are
                                                                                    available with demonstrated tip life spans of 5 to 10 years.
              further enhances smokeless combustion through increased
                                                                                    Smokeless rates above 150 × 106 standard cubic feet per day
              turbulence and mixing and by mitigating adverse wind effects.
                                                                                    (SCFD) are available for saturated hydrocarbons such as pro-
                 The advanced steam-assisted flare design incorporates sev-         duction facility reliefs.
              eral smoke suppression strategies: increased perimeter, higher           Figure 20.29 shows an example of the latest air flare design.
              momentum, more combustion air, greater turbulence for mix-            Waste gas exits the burner in one or more narrow annular jets,
              ing, dilution and chemical interaction by steam, and molding          each surrounded by assist air. This design makes good use of
              of the flame to resist wind effects. Each of these strategies         the perimeter:area ratio concept discussed above in the con-
              helps to reduce smoke; in combination, they produce some              text of steam-assisted flares.
              of the highest smokeless rates available in single-point flares.
                 New flare systems can achieve smokeless rates of more              20.4.1.5 Energy Conversion
              than 500,000 lb/hr (230,000 kg/hr) of gases that are generally        In the smokeless flaring discussions above, the focus cen-
              considered difficult to burn cleanly. An example of a state-          tered on adding energy from an outside source to boost the
              of-the-art flare burner design is shown in Figure 20.27.              overall energy level high enough to achieve smokeless burn-
              Improved muffler designs and redistribution of steam can give         ing. An advantage is gained if an outside source is not
              noise levels much lower than earlier models. In some cases,           required. This is the case with energy conversion flare burn-
              the steam jet noise can be totally neutralized through injector       ers. Such burners are also referred to as high-pressure flare
              design and the use of new muffling techniques.                        burners or multi-point flare burners. Where they can be
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                   less burning ability).                                                                   able Hydra flare shown in Figure 20.30, offer a controlled
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and muffler.
Flares 611
                                                                  20.4.1.6 Endothermic
                                                                  Some flare applications involve gases with a high inert gas
                                                                  content. When the inert content is high enough, the combus-
                                                                  tion reaction becomes endothermic, meaning that some
                                                                  external source of heat is required to sustain the reaction.
                                                                  Crude oil recovery by CO2 injection, incinerator bypasses,
                                                                  coke ovens, and steel mills are examples of activities that
                                                                  generate gases that require additional fuel to maintain the
                                                                  main burner flame. Such gases often contain significant
                                                                  amounts of toxic materials such as H2S, NH3, CO, or various
                                                                  gases normally sent to an incinerator. Flaring has been rec-
                                                                  ognized for many years as an adequate method of disposing
                                                                  of such gases. Substantially complete destruction of such
                                                                  gases protects the community and the environment.
                                                                     The earliest endothermic flares consisted of simple non-
                                                                  assisted flare tips with fuel gas enrichment of the waste gas
                                                                  upstream of the flare to ensure that the mixture arriving at the
                                                                  tip was burnable. This system was simple but imposed a high
                                                                  fuel cost on the facility. An alternative design supplied a
                                                                  premixed supplemental fuel/air mixture to an annulus around
                                                                  the flare tip. Combustion of this mixture supplied heat and
                                                                  ignition to the waste gas as it exited the flare tip. This design
                                                                  had a limited supplemental fuel gas turndown before burn-
                                                                  back occurred in the annulus, thus requiring a full on or off
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
(a) (e)
                                                                    (b)
                                                                                                                             (f)
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                    (c)
                                                                                                                             (g)
                                                                             FIGURE 20.31 LRGO staging sequence during a flaring
                                                                             event from inception (a) to full load (g).
Flares 613
                                         FIGURE 20.32 Multi-point LRGO system with a                               FIGURE 20.34 OWB liquid flare test firing 150 gpm.
                                         radiation fence. (Courtesy of Maria Celia, Setal Engineering,
                                         Sao Paulo, Brazil).
                                                                                       20.4.2.1 Pilots
                                                                                       A flare pilot is a premixed burner system designed to operate
                                                                                       over a narrow heat release range. As a burner, the pilot must
                                                                                       (1) meter the fuel and air, (2) mix the fuel with the air, (3) mold
                                                                                       the desired flame shape, and (4) maintain flame stability.
                                                                                       Typically, pilots consist of four fundamental parts: a mixer or
                                                                                       venturi, a gas orifice, a downstream section that connects the
              FIGURE 20.36 Poseidon flare: water-assisted Hydra.                       mixer and the tip, and a tip as illustrated in Figure 20.37. All
                                                                                       components of a pilot are carefully designed to work together
                                                                                       as a system to achieve proper performance. A change in any
                                                                                       component will affect the balance of the system and hence the
                                                                                       operation of the pilot.
                                                                                          In operation, the pressure energy of the pilot fuel is used
                                                                                       to aspirate ambient air into the mixer inlet, mix the gas and
              FIGURE 20.37 Fundamental pilot parts.                                    air, and propel the mixture through the downstream section
                                                                                       and out the pilot tip. The key goals for a properly designed
                                                                                       pilot itself are to:
              wide turndown can be obtained by simply turning off flow to
              some of the tips. Typical applications are oil well testing and               1. be capable of reliable ignition
              spill cleanup.                                                                2. provide pilot flame stability
                 The Dragon flare (Figure 20.35) uses one or more burners                   3. prevent the pilot flame from being extinguished
              and is equipped with a blower to improve mixing for smoke-                    4. provide a long service life
              less burning. This flare is employed in destruction of surplus
              or off-spec product or waste oil.                                        An application goal of the pilot is to ignite the waste gas exit-
                 The success of steam as a smoke suppressant has prompted              ing the flare burner.
              the use of water to prevent smoke. Over the years, a number                 If the volume of air aspirated into the pilot falls outside the
              of designs using water for smoke suppression have been                   flammability limits of the pilot fuel gas, the pilot will not
              invented. In certain situations, water can be used with great            operate properly. For example, methane requires 5.7 to 19
              benefit. A case in point is the offshore installation of a Poseidon      volumes of air per volume of fuel in order to burn. If a pilot
              flare shown in Figure 20.36. This flare utilizes water to                is operating below this volumetric air:fuel ratio limit, air
              enhance smokeless burning, reduce thermal radiation, and                 external to the pilot must be available in order to burn the
              decrease noise. The installation shown in the photograph                 fuel. If the pilot tip is engulfed with inert gases from the flare,
              achieved a 13-dBA reduction in noise and a 50% drop in                   due to purge gas or flue gas from the flare flame, then the
              radiation compared to the previous conventional flare.14                 pilot cannot be lit, nor will it burn. Conversely, if a pilot is
                                                                                       operating with methane and the volumetric air:fuel ratio is
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              20.4.2 Pilots, Ignitors, and Monitors                                    above or near 19, the pilot will be difficult to light and may
              Prior to 1947, venting of unburned hydrocarbons to the atmo-             be unstable in windy conditions.
              sphere was an industry practice. After 1947, regulations                    The operational environment of a flare pilot requires that
              required hydrocarbons to be burned or “flared.” Early meth-              the pilot be able to withstand rain, wind, heat from the flare
              ods to light a flare included hoisting a burning, oily rag to the        flame, and direct flame contact. Common pilot problems are
              top of the flare, shooting over the top of the flare an arrow            failure to light and burn with a stable flame and flashback.
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Flares 615
                   20.4.2.2 Pilot Ignition                                                    the air/fuel mixture should flow for about 20 to 30 seconds
                   The most common method of lighting elevated flare pilots is                before attempting to light the pilot. Each attempt to light the
                   by the use of a flame-front generator (FFG). An FFG is a                   pilot in this example should allow 20 to 30 seconds for the
                   device designed to produce a fireball, which travels inside a              line to refill with the air/fuel mixture.
                   pipe from the point of ignition to the pilot, thereby lighting
                   the pilot. There are three fundamental types of FFGs: con-                 20.4.2.2.2 Slipstream FFG
                   ventional, slipstream, and self-inspirating.                               The slipstream FFG directs a portion of the air/fuel mixture
                                                                                              generated by the pilot venturi to a tube located adjacent to the
                   20.4.2.2.1 Conventional FFG                                                pilot, as shown in Figure 20.39. The slipstream travels
                   A conventional FFG is illustrated in Figure 20.38. A combi-                through the tube and exits near the pilot tip. A high-energy
                   nation venturi mixer/ignition chamber is connected by a 1-in.              discharge ignitor probe is used to ignite the mixture, generat-
                   pipe to the pilot. The pipe length can be 5000 ft (1500 m) or              ing a fireball within the slipstream line that in turn ignites the
                   more, but the pipe must be 1 in. (2.5 cm) and no heavier than              pilot. The main advantages that this system has over the con-
                   sch. 80. The ignition sequence starts by flowing air and gas to            ventional FFG system are quick pilot relight, no flame-front
                   the venturi mixer. In this system, the flow rates of air and gas           lines, and no compressed air required. The main disadvan-
                   are each controlled and monitored using a needle valve and                 tages are that critical components are located at the flare tip
                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   pressure gage. The ignition chamber is located immediately                 and, therefore, inaccessible without a flare shutdown, and
                   downstream of the mixing zone. A spark plug in the ignition                that the electrical wire leading from the transformer to the
                   chamber can ignite the air/fuel mixture. The resulting fireball            spark probe is limited to approximately 750 ft (230 m). Many
                   travels through the pipe until it reaches the pilot. The fireball          of the pilots equipped with a slipstream FFG are also
                   then ignites the air/fuel mixture generated by the pilot as it             equipped with a conventional FFG and the associated piping.
                   exits the pilot tip.                                                       In this case, the conventional FFG is used as an installed
                      It is important to let the FFG line fill completely with the            backup ignition system.
                   flammable air/fuel mixture before the spark is generated. If
                   the FFG line is not completely filled with the air/fuel mixture,           20.4.2.2.3 Self-inspirating FFG
                   the fireball will extinguish before it reaches the pilot and will          The self-inspirating FFG is a system in which an air/fuel
                   not light the pilot. Long FFG lines may take minutes to                    mixture is generated at grade using an eductor system, as
                   completely fill with a flammable air/fuel mixture, depending               shown in Figure 20.40. This eductor is separate from the
                   on the air/fuel mixture flow rate and FFG line size. For exam-             main pilot venturi mixer. A spark, generated just down-
                   ple, if the velocity of the air/fuel mixture in the FFG line is            stream of the ignitor eductor, creates a fireball inside the
                   50 ft/s (15 m/s) and the FFG line is 1000 ft (300 m) long,                 ignition line that leads to the pilot tip. The main advantage
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                                                                                          20.4.2.3 Monitors
                                                                                          Verification that a flare pilot is burning is an important and in
                                                                                          some cases mandatory requirement. The pilot’s remote loca-
                                                                                          tion and inaccessibility during flare operation make flame
                                                                                          verification difficult. A brief review of flare pilot monitoring
                                                                                          methods illustrates the difficulties.
                                                                                             Most pilot fuels produce a low luminosity flame because
                                                                                          the gas mixture at the pilot tip contains close to 100% of the
                                                                                          air required by the fuel. It can be very difficult to see a pilot
                                                                                          flame during the day. Viewing at night is generally more
                                                                                          successful. If the pilot is ignited using a conventional FFG,
                                                                                          opening the fuel valve of the FFG can enhance visual sighting,
                                                                                          day or night. The added fuel will produce a larger and more
                                                                                          luminous flame at the pilot. After the pilot flame has been
                                                                                          sighted, the extra fuel should be shut off.
                                                                                             By nature, one immediately associates flame with heat. In
              FIGURE 20.40 Self-inspirating flame-front generator.                        fact, a flame produces heat, ionized gas, light, and sound.
                                                                                          The technique for verifying a pilot flame by sensing the
                                                                                          flame-generated heat with a thermocouple has been used for
              that this system has over the conventional FFG system is                    many years. In the thermocouple technique, the thermo-
              that compressed air is not required. The advantage over the                 couple junction is placed in a position to sense the heat
              slipstream FFG is that the critical parts are accessible during             generated by the pilot flame. A balance must be struck
              flare operation. The disadvantage of this system, however, is               between a high exposure to heat with possible rapid thermo-
              that the maximum distance of the ignition line is limited to                couple burnout and a lower exposure with a slower response
              approximately 200 ft (60 m). The exact distance, however,                   time. The thermocouple is connected to a temperature switch
              can vary, depending on the fuel pressure available, composi-                or a computer that indicates pilot failure if the temperature
              tion of the fuel, diameter and wall roughness of the ignition               drops below a set point. In most cases, a shutdown is required
              line, and ambient air density.                                              to replace a burned out thermocouple.
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Flares 617
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 20.41 SoundProof acoustic pilot monitor.
                      Other techniques have sought to verify a flame using flame             the movement of the top of the flare stack may move the
                   ionization or optical scanning. The flame ionization method               flame out of the sensor’s field of view.
                   requires two elements located in the pilot flame. The presence               The newest flame monitoring technique detects the pilot
                   or absence of a flame is detected by a change in resistance               flame remotely using the overlooked flame characteristic of
                   between the elements. Like a thermocouple, these elements                 sound generation.15 This system consists of an acoustic sensor
                   cannot be maintained during flare operation. The use of flame             and a signal processor. The sensor listens to the pilot sounds
                   ionization to monitor flare pilots is limited.                            through the flame-front generator line much as a doctor uses
                      Optical sensing benefits from an accessible grade-level loca-          a stethoscope to listen to a heart. Acoustic data is conveyed
                   tion. Most optical sensors employed on flare pilots use one or            from the sensor to the signal processor via a cable. The signal
                   more infrared wave bands to sense the presence of a flame.                processor analyzes the acoustic data and signals the pilot
                   Ultraviolet sensors, which are frequently used on process and             flame status. An acoustic monitor system is shown in
                   boiler burners, are generally limited to use on enclosed ground           Figure 20.41. An acoustic pilot monitor can distinguish its
                   flares. Optical methods may be unable to distinguish pilots               connected pilot from nearby sound sources such as other
                   from the main flame or one pilot from another. In addition, the           pilots, steam injection, and combustion of the flare. Weather
                   optical path can be obscured by heavy rain, fog, or snow, or              conditions do not adversely affect the monitor.
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                                                                                   of this design. The pressure drop across these drums is rela-
                                                                                   tively low. Drums of this type are particularly useful for
                                                                                   removing liquids within or near the process units that may
                                                                                   send liquids to the flare header. It is common for the maxi-
                                                                                   mum liquid level to be at the drum centerline, thus allowing
                                                                                   50% of the total vessel volume to be used for temporary liquid
                                                                                   storage during a relief.
                                                                                      Vertical settling drums work in a similar fashion. In design-
                                                                                   ing vertical settling drums, careful attention must be focused
                                                                                   on droplet terminal velocity because this velocity determines
                                                                                   the drum diameter. Also, the volume available for storage of
                                                                                   liquid during a relief is limited by the elevation of the flare
                                                                                   header piping.
                                                                                      Any small droplets that pass through the knockout drum
                                                                                   can agglomerate to form larger droplets in the flare system
                                                                                   downstream of the knockout drum. Locating the knockout
                                                                                   drum very near the base of the flare stack, or incorporating
                                                                                   it into the stack base, can minimize this problem. Although
                                                                                   the pressure drop required for the settling drums is generally
              FIGURE 20.42 Horizontal settling drum at the base of
              an air assisted flare.                                               low, the required drum diameter can become impractical to
                                                                                   shop-fabricate if the flow rate is high.
                                                                                      Elimination of very small liquid droplets cannot be
                                                                                   accomplished through a simple reduction in gas stream
                                                                                   velocity. Cyclone separation is best for small droplet
                                                                                   removal. Mist eliminators, utilizing centrifugal force, can be
                                                                                   very effective when incorporated into the base of the flare
                                                                                   stack. They are smaller in diameter than horizontal or ver-
                                                                                   tical settling drums and usually provide high liquid removal
                                                                                   efficiency at the expense of a greater pressure drop. The frost
                                                                                   on the outside of the drum in Figure 20.43 vividly illustrates
                                                                                   the liquid flow pattern.
                                                                                      Agglomeration of droplets downstream of a cyclone sep-
                                                                                   arator is generally less of a problem than it is for the settling
                                                                                   drum designs. The typical settling drum is designed to
                                                                                   remove droplets larger than 300 to 600 microns at the smoke-
                                                                                   less flow rate. Droplet sizes at the maximum flow rate can
                                                                                   be over 1000 microns in some cases. By comparison, the
              FIGURE 20.43 Cyclone separator. (Note the frost                      droplets exiting the cyclone are much smaller, typically 20 to
              indicating the flow path of the low-temperature liquid as it is      40 microns, and the droplet size remains low throughout the
              removed.)                                                            operating range.
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Flares 619
              increases, the buoyant forces acting on the liquid increase and                                                           toward the tip exit. At the same time, the shape of the trap
              the potential for violent movement by the seal fluid grows.                                                               acts to accelerate the purge gas. The accelerated purge gas
              Larger vessel diameters also increase the potential for liquid                                                            and outflowing air meet at the exit of the seal device and flow
              sloshing, which is another driver of pulsation.                                                                           out the tip. Without the accelerated purge gas, the trap will
                 Properly designed internals can reduce such pulsations by                                                              only delay air entry, not reduce it.
              controlling the bi-directional gas flow and movement of the                                                                  Compared to a density seal, a velocity seal is relatively
              liquid. Robert Reed produced some of the earliest internals                                                               small and has low capital cost. The velocity seal will reduce
              for liquid seals in the late 1950s. Since that time, a number                                                             the purge gas requirement but the reduction is tempered by
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Flares 621
                   FIGURE 20.46 Various liquid seal head types: “A” Beveled end, “B” Sawtooth, “C” Slot and triangle (after API RP-521),
                   “D” Arms with ports on upper surfaces, “E” Downward facing perforated cone, “F” Upward facing perforated cone.
                   the amount of oxygen allowed below the seal. A velocity seal              interface is all that is required. This purge rate is much lower
                   requires more purge gas than a density seal. An additional                than the rate required for a velocity seal (which will have some
                   disadvantage of a velocity seal occurs when purge gas flow                level of oxygen below it). A density difference as small as
                   is interrupted. In this event, the oxygen level in the riser              nitrogen to air is sufficient for the seal to function. The lighter
                   begins to increase almost immediately.                                    (or heavier) the purge gas, the more effective the seal becomes.
                      The arrangement of a density-type purge reduction device               Tests have shown that the oxygen level below a properly
                   is illustrated in Figure 20.48. As the gas flows upward through           purged density-type seal will be zero. If the purge gas flow to
                   the riser, it is directed through two annular 180° turns, thus            a density seal is interrupted, air will begin to penetrate the gas
                   forming spaces where lighter- or heavier-than-air gases are               by diffusion. However, the diffusion process is slow and a
                   trapped. The density difference between the trapped purge gas             significant time will pass before air enters the riser.
                   and air forms a barrier to air movement. Only diffusion will                 The density seal requires the smaller purge gas rate and
                   allow the air to work its way through the barrier. Thus, a purge          enjoys the lower operating cost. A lower purge gas requirement
                   rate sufficient to constantly refresh the gas at the gas/air
                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                             also means less heat around the flare tip and lower emissions.
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                                                                                    in flame and/or smoke out the top of the stack. There are
                                                                                    usually two safeguards to prevent this from happening. First,
              However, the physical size of the density seal makes its capital      when the pressure drop created by the gas flow through the
              cost larger.                                                          ZTOF system exceeds the setpoint of the diversion device
                                                                                    (whether liquid seal or valve), excess gas automatically flows
              20.4.6 Enclosed Flares                                                to the elevated flare. Second, most ZTOFs are equipped with
              The desire to hide flaring activities dates back to the 1950s.        thermocouples to monitor the stack temperature. When the
              Flare vendors and users tried for several years to design             stack exit temperature exceeds the design level, a temperature
              enclosed ground flares and failed, sometimes spectacularly.           switch initiates an automatic shutdown, either partial or total,
              In one case, the smoke generated by a ground flare was so             of the ZTOF burner system. Gas flow is sent to the other parts
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Flares 623
                   of the plant flare system until the cause of the overfiring                20.4.7 Flare Support Structures
                   condition can be identified and corrected.                                 The combination of the heat released at maximum design
                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                      ZTOFs have been designed with capacities ranging from                   flow and the owner’s instructions on allowable incident radia-
                   less than 100 lb/hr (45 kg/hr) to more than 100 metric tons/hr.            tion poses a design challenge that is often solved by elevating
                   Combustion chambers vary from 3 ft (1 m) to more than 50 ft                the flare burner. (See Sections 20.2.6 and 20.3.5 for discus-
                   (15 m) across and may be over 100 ft (30 m) tall.                          sion of the factors and design considerations that influence
                      To maximize the benefit of the available combustion volume,             the determination of the required height.) Once the height has
                   ZTOFs are usually equipped with multi-point burner systems.                been calculated, the design focus turns to the selection of the
                   As discussed in Section 20.4.1.5, breaking up the gas flow into            type of flare structure to use.
                   many small flames improves burner performance. ZTOF sys-                      In principle, there are three basic support structure concepts
                   tems frequently operate at pressure levels consistent with liquid          plus a variant that can be very useful in certain circumstances.
                   seal depths. As a result, the available energy from the waste              The concepts and the variant are:
                   gas is reduced. Thus, staging the ZTOF burner systems is even
                   more important to maintain good performance at turndown                           •    self-supported
                                                                                                     •    guy wire supported
                   conditions. When steam-assisted burners are used in ZTOFs,
                                                                                                     •    derrick supported
                   steam efficiencies are substantially higher than open air flares,
                                                                                                     •    derrick with provision for lowering the riser and flare
                   resulting in lower day-to-day steam consumption.
                                                                                                          burner
                      On small units, adjusting the air openings feeding air into
                   the combustion chamber can control temperature in the com-                    A self-supported structure (Figure 20.50) requires the least
                   bustion chamber. Temperature control is common in landfill                 land space and can easily accommodate a liquid seal or
                   flares, biogas flares, and vapor combustors in gasoline loading            knockout drum, or both, in the base section. Varying the
                   terminals. Proper temperature control minimizes emissions                  diameter and thickness of the structure at various elevations
                   from these units, which in some cases run continuously.                    absorbs wind loads. Potential undamped vibration is avoided
                      The windfence used to manage air flow into the combustion               by varying the length and diameter of sections of the structure.
                   chamber can be designed to muffle combustion and steam                     Generally, self-supported structures are not cost-effective at
                   noise generated by the burners. The refractory-lined combus-               heights above about 250 ft (76 m).
                   tion chamber may also absorb high-frequency noise and                         Perhaps the most common means of supporting an ele-
                   serves to block the direct line-of-sight path for noise trans-             vated flare burner is a riser that is held in line by guy wires
                   mission from the flames in the chamber. By providing clean,                (Figure 20.51). Usually, there are three sets of guy wires
                   quiet, invisible disposal of day-to-day reliefs, use of a ZTOF             spaced 120° apart. The number of guy wires arranged verti-
                   allows plant operation in harmony with its neighbors.                      cally at a given location is dependent on the height of the
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                                                                                   of land, availability of cranes, and the number of risers to be
                                                                                   considered. The selection process can be simplified by using
                                                                                   the guide shown in Figure 20.54. The guide asks a series of
                                                                                   questions that can be answered “yes” or “no,” with the answer
                                                                                   influencing the next question. While the yes/no answers
                                                                                   appear to lead to an absolute answer, there are subtleties that
                                                                                   can promote an alternative. For example, the desire to locate
                                                                                   a liquid seal or knockout drum, or both, in the base of the
                                                                                   stack may make a self-supported design attractive.
                                                                                      The guide refers to situations in which there will be one
                                                                                   waste gas riser (R1) or two waste gas risers (R1 and R2). If
                                                                                   there are two risers, the guide questions the size of the second
                                                                                   riser as compared to R1/3. Typically, a second riser with a
                                                                                   size of R1/3 or less will be a small-capacity flare serving a
                                                                                   vent system or incinerator bypass. Such a small flare, often
                                                                                   referred to as a “piggyback flare,” will be supported by the
                                                                                   main flare or its support structure. If the second riser is greater
              FIGURE 20.50 Self-supported flare.                                   than R1/3, it will be treated, for structural design purposes,
                                                                                   as a second major flare. Cases involving more than two risers
                                                                                   are good candidates for a demountable derrick structure.
              structure, wind loads, and the diameter of the riser. Guy wire
              supported-structures require the greatest land space commit-
              ment. Overall heights can reach 600 ft or more.                      20.4.8 Flare Controls
                Where land area is of high value or limited availability,          Flare systems are often associated with flare headers that col-
              a derrick structure can be employed. The derrick itself              lect gases discharged from relief valves and other sources.
              (Figure 20.52) acts as a guide to keep the riser in line. In         A flare is called upon to operate properly during upset and
              general, derricks are designed with three or four sides and          malfunction conditions that impact control systems through-
              have been utilized at heights greater than 650 ft (200 m).           out the plant, including power failure and instrument air
                 Flare burners on very tall support structures and flares          failure. Therefore, controls on flare systems must be used
              located in remote areas are difficult to maintain or replace         with discretion to ensure that the flare will continue to
              due to the limited number of cranes that can service the             operate safely even if its controls fail. Flare controls can
              required elevation. In such cases, a derrick variation often         help provide effective smokeless performance, low noise
              referred to as a demountable derrick is employed. The design         operation, and other desirable characteristics during nor-
              of the demountable derrick (Figure 20.53) allows the riser           mal day-to-day operation.
              and attached flare burner to be lowered to the ground, either          Many of the controls used in flare systems are associated
              as a single piece or in multiple sections. An additional advan-      with pilots, ignition, and pilot monitoring and have already
              tage of a demountable derrick is its ability to support more         been discussed in Section 20.4.2. This section discusses steam
              than one full-size riser.                                            control, burner staging, level controls, and purge control.
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                                                                                                                                                          625
              20.4.8.1 Typical Steam Control Valve                                                     a manual valve is installed around the control valve and its
              Reliable steam control is an important part of the smoke sup-                            block valves. A pressure gage should be installed down-
              pression strategy for steam-assisted flares. The simplest                                stream of the control valve station to provide the operator
              steam control system consists of a manual valve that an                                  with a tool for diagnosing control issues and a guide for
              operator uses to adjust steam flow to the flare tip. Most plants                         manual control, when needed.
              prefer not to dedicate an operator to manage the steam use of                               Most steam-assisted flares require a minimum steam flow
              their flares. Instead, steam control valves are equipped with                            for two reasons. First, a minimum steam flow keeps the steam
              remote positioning equipment that allows an operator in the                              line from the control valve to the flare burner warm and ready
              control room to adjust steam flow while performing other,                                for use. It also minimizes problems with condensate in that
              more profitable duties. Figure 20.55 depicts a typical steam                             line. Second, a minimum steam flow keeps the steam mani-
              control valve station.                                                                   fold on the flare burner cool (“cooling steam”) in case a low
                 The steam control valve on a flare can operate almost                                 flow flame attaches to the steam equipment. To maintain the
              completely closed for extended periods of time. As a result,                             minimum steam flow, a second bypass line is installed with
              wear on the valve seat becomes a maintenance issue. To                                   a metering orifice sized for the minimum flow and a pair of
              allow for removal and maintenance while the flare is in                                  block valves for maintenance of the orifice.
              operation, block valves are recommended both upstream and                                   Steam traps are mandatory wherever condensate can accu-
              downstream of the control valve. To operate the flare smoke-                             mulate in the steam piping. Many steam injector designs use
              lessly during control valve maintenance, a bypass line with                              relatively small orifices, at least in part to reduce audible
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Flares 627
hand by-pass
                                                                                                                                                      pressure
                                                                                                                                                        gage
                                                                                               control valve
                                                                           strainer                                                                                    to
                                                                                                                                                                     flare
                                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                    steam
                                    supply
                                                                   steam                              orifice                                          steam
                                                                    trap                                                                                trap
                   noise. Therefore, a steam line strainer is recommended. If the            periodic observations by an operator in the control room
                   orifices are very small, all stainless steel steam piping may             looking at a video image from a camera aimed at the flare.
                   be appropriate.                                                           Any smoking condition will be quickly corrected by an
                                                                                             increase in steam flow to the flare. However, when the gas
                   20.4.8.2 Automatic Steam Control                                          flow begins to subside, the flare flame continues to look
                   As the flow or composition of waste gas sent to the flare                 “clean” to the operator. Therefore, some time may pass
                   varies, the amount of steam required for smoke suppression                before the operator reduces the steam flow. As a result, this
                   changes. Many plants adjust the steam requirement based on                method of smoke control tends to result in oversteaming
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              FIGURE 20.56 Staging control valve assembly.
              of the flare, which in turn produces excessive noise and           available to handle emergency relief loads. Such staging valve
              unnecessary steam consumption.                                     assemblies usually do not include a bypass device.
                 Optical sensing systems are available to monitor the con-          Staging valves, especially on the last stages, of a multipoint
              dition of the flare flame and adjust the steam flow continu-       staged plant flare system are usually designed to fail open when
              ously. Automatic optical sensing equipment can effectively         the bypass device is a rupture disk. If the bypass device is easily
              control steam flow to maintain a consistent flame appearance       reclosed or resets automatically, the staging valve can be
              with minimum steam usage and minimum noise.                        designed to fail closed. The bypass device, shown in the figure
                                                                                 as a rupture disk, can also be a relief valve or a liquid seal.
              20.4.8.3 Typical Staging Control Valve
                                                                                 20.4.8.4 Level Controls
              Energy conversion flare types such as the LRGO discussed           Flare systems often include vessels such as knockout drums or
              in Section 20.4.1.5 are designed to operate smokelessly            liquid seals that can contain liquid levels that must be moni-
              when the gas pressure is above a certain level. Two key oper-      tored and/or controlled for safe operation. Liquid level is con-
              ational goals for such systems using energy conversion burn-       trolled in knockout drums to prevent overfilling, as discussed in
              ers are to: (1) maintain the gas pressure above the minimum        Section 20.3.3. In some cases, it is also important to prevent
              level required for smokeless performance, and (2) prevent          too low a level. When all the liquid in a knockout drum is
              back-pressure from exceeding the allowable design level. To        removed, it becomes possible for waste gases in the flare
              achieve these goals, a staging control system is used that         header to migrate into the drain system, creating a possibly
              starts and stops flow to various groups of burners based on        explosive mixture and a serious safety hazard. Instrumentation
              the incoming gas flow. Depending on the application, the           generally consists of one or more level switches or transmitters
              staging valve used to accomplish this can be installed in any      often mounted together with gage glasses to simplify setpoint
              of a number of possible configurations, ranging from a sin-        adjustments and to allow visual monitoring or manual control.
              gle valve to a complex system of bypasses and block valves.           Liquid seal level control presents a number of challenges
              Figure 20.56 shows a typical staging valve assembly.               not found in other level control applications. In normal oper-
                The main staging valve can be either fail closed or fail         ation, when gas is flowing through the liquid seal, the surface
              open, depending on the safety considerations governing the         of the liquid is violently agitated. Small-scale wave action,
              system as a whole. Generally, the staging valves for an            spraying, and foam generation also create special require-
              enclosed ground flare are fail closed when another flare is        ments for liquid seal level control systems.
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Flares 629
                                                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   gas flowing to the flare tip. As discussed in Section 20.3.3,
                   this can become a safety hazard. To protect against this haz-
                   ard, flare liquid seals are often equipped with hydrocarbon
                   skimming systems that remove accumulated condensate from
                   the liquid surface, in some cases automatically.
                     Loop seals are used to prevent gases from escaping a vessel
                   while allowing liquids to be removed automatically. Hydro-
                   carbon skimming systems on flare liquid seals often utilize
                   loop seals, such as shown in Figure 20.57, to provide constant
                   removal of liquids. Loop seal design guidance is provided by
                   API RP-521.5 Some additional concerns include:
                                                                                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 20.58 Purge control station.
Flares 631
                                                                      • Non-assisted and steam-assisted flares:                                  Find:               The maximum exit velocity of the gas at the flare
                                                                           – If 200 Btu/scf < LHV < 300 Btu/scf,                                                     tip to achieve a combustion efficiency of 98% or
                                                                                                                                                                     greater according to the U.S. EPA ruling.
                                                                                                       T (° F ) + 460 
                                                                                  Vmax ( ft s) = 60 × 
                                                                                                                                                 Solution: Because the LHV of the fuel is 450 Btu/scf, Eq.
                                                                                                                                (20.6)
                                                                                                            520                                          (20.7) is used to determine the maximum velocity:
                                                                           XH2     =   Vol% hydrogen, on a wet basis                             Find:               The pounds of UHC, CO, and NOx emitted in
                                                                                                                                                                     1 year if the flare is burning the waste gas at a
                                                                    Equation (20.10) should only be used for flares that have                                        rate of 10,000 lb/hr (4500 kg/hr), 50 times per
                                                                  a diameter of 3 in. or greater, are non-assisted, and have a                                       year, for 1 hour during each event (neglect the
                                                                  hydrogen content of 8.0% (by volume) or greater.                                                   emissions contribution from the pilots and purge
                                                                                                                                                                     gas). The density of the gas is 0.05 lb/scf.
                                                                  Example 20.1
                                                                  Given:       A steam-assisted flare is burning a gas with an                   Solution: First determine how many Btus are released in
                                                                               LHV of 450 Btu/scf and 160°F (71°C).                                        1 year (yr):
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                                  HR        BTU     1 scf    10000 lb                              such factors as the wind speed, time of day, cloudiness, and
                                      = 450      ×         ×                                       type of terrain. The Gaussian dispersion model was one of the
                                 year        scf   0.05 lb      hr
                                                                                                   first models developed to estimate GLC. This model assumes
                                                1 hr    50 Events                                  that the concentration of the pollutants, in both the crosswind
                                            ×         ×
                                                Event     year                                     and vertical directions, takes the form of a Gaussian distribution
                                                                                                   about the centerline of the plume and is written as follows:
                                                                   Btu
                                           = 4500 × 10 6                              (20.12)
                                                                   yr
                                                                                                                        Q                −H2        − y2 
                                                                                                                     C=             exp  2σ 2  exp  2σ 2                 (20.16)
              The pounds of UHC, CO, and NOx emitted in 1 year are then                                                 Uσ z σ y π          z       y
              calculated as follows:
                                                                                                   where
                                       Btu   0.14 lb         lb                                                C         = Predicted GLC concentration, g/m3
                       UHC = 4500 × 10     ×           = 630
                                                       6
                                                                (20.13)
                                       yr 1 × 10 6 Btu       yr                                                Q         = Source emission rate, g/s
                                                                                                               U         = Horizontal wind speed at the plume
                                                       Btu   0.37 lb          lb                                           centerline height, m/s
                        CO = 4500 × 10 6                   ×           = 1670         (20.14)
                                                       yr 1 × 10 6 Btu        yr                               H         = Plume centerline height above ground, m
                                                                                                               σy and σz = Standard deviations of the concentration
                                                                                                                           distributions in the crosswind and
                                                           Btu   0.068 lb        lb
                        NOx = 4500 × 10 6                      ×           = 310      (20.15)                              vertical directions, respectively, m
                                                           yr 1 × 10 6 Btu       yr
                                                                                                               y         = crosswind distance, m (see Figure 20.59)
                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              fied. Today, however, through the advent of computers, these                         of the atmosphere into six classes that vary from very unstable
              models have become more sophisticated and able to capture                            (class A) to very stable (class F). An atmosphere that is stable
              much more detail of the dispersion problem. The purpose of                           has low levels of turbulence and will disperse a pollutant more
              this section is to discuss the general concepts used for esti-                       slowly than an unstable atmosphere. The dispersion coeffi-
              mating the ground-level concentration (GLC) of a pollutant                           cients, σy and σz , are dependent on the amount of turbulence
              emitted from a flare.                                                                in the atmosphere and are, therefore, related to the atmo-
                 When a pollutant is emitted from a flare, it is dispersed as                      spheric stability class. For more information on the equations
              it moves downwind by atmospheric turbulence and, to a lesser                         describing the dispersion coefficients, see Turner.23
              extent, by molecular diffusion, as illustrated in Figure 20.59.                         The plume height is defined as the vertical distance from
              The GLC of a pollutant downwind of the flare depends on how                          the plume centerline to grade, as illustrated in Figure 20.59.
              fast the pollutant is spreading perpendicular to the direction of                    There are several variables that can affect the plume height.
              the wind and on the height of the plume above the ground.21                          These variables are divided into two categories: emission
              The rate at which a pollutant is dispersing, in turn, depends on                     factors and meteorological factors. The emission factors
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Flares 633
                                                                                                                                                     Gaussian distribution
                                                                                                                                                         of pollutants
Dispersion of Pollutants
                                                                                                  z
                                                                                     Wind
                                                                                    Direction
                                                                                                                               Plume
                                                                                                                               Height
                                                                                                                                                                                 x
                                                                                                        Stack
                                                                                                        Height
                                                                                      y
                                                                                          Grade
                                       include the (1) stack gas exit velocity, (2) stack exit diameter,                                  4. R.D. Reed, Furnace Operations, 3rd ed., Gulf Publish-
                                       (3) stack height, and (4) temperature of the emitted gas. The                                         ing, Houston, TX, 1981.
                                       meteorological factors include the (1) wind speed, (2) air
                                                                                                                                          5. API RP-521, 4th ed., American Petroleum Institute,
                                       temperature with height, (3) shear of the wind with height,
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                13. R.E. Schwartz and R.K. Noble, Method and Apparatus                                                   19. U.S. EPA, Code of Federal Regulations, Title 40,
                    for Flaring Inert Vitiated Waste Gases, U.S. Pat.                                                        Part 60, Standards of Performance for New Stationary
                    4,664,617, May 12, 1987.                                                                                 Sources.
                14. W.R. Bussman and D. Knott, Unique concept for noise                                                  20. N.I. Sax and R.J. Lewis Sr., Dangerous Properties of
                    and radiation reduction in high-pressure flaring, Off-                                                   Industrial Materials, 7th ed., Van Nostrand Reinhold,
                    shore Technology Conference, Houston, TX, May                                                            New York, 1989.
                    2000.                                                                                                21. M. Miller and R. Liles, Air modeling, Environmental
                15. R.E. Schwartz, L.D. Berg, and W. Bussman, Flame                                                          Protection, September 1995.
                    Detection Apparatus and Methods, U.S. Pat. 5,813,849,                                                22. M. Beychok, Error propagation in stack gas dispersion
                    September 29, 1998.                                                                                      models, The National Environmental Journal, January/
                16. J.S. Zink, R.D. Reed, and R.E. Schwartz, Apparatus for                                                   February 1996.
                    Controlling the Flow of Gases, U.S. Pat. 3,802,455,                                                  23. B. Turner, Workbook of Atmospheric Dispersion Esti-
                    April 9, 1974.                                                                                           mates, U.S. Environmental Protection Agency, 1970.
                17. H. Glomm, Anordnung und Betrieb von Notabblase-                                                      24. H. Moses, G.H. Strom, and J.E. Carson, Effects of
                    systemen (blow down systems), Rohrleitungstechnik in                                                     meteorological and engineering factors on stack plume
                    der Chemishen Industrie, 199, 18-28, 1967.                                                               rise, Nuclear Safety, 6(1), 1-19, 1964.
                18. Chemical Manufacturers Association, A Report on a                                                    25. C. Seigneur, Understanding the basics of air quality
                    Flare Efficiency Study, March 1983.                                                                      modeling, Chemical Engineering Progress, 68, 1992.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                    Castable Refractory
                                                                                                                    Lining
                                                                                  Stack
Thermal Oxidizer
                                                                                                                                Castable Refactory
                                                                                                                                Floor
                                                                        Fuel
                                                                                      Air
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                       Chapter 21
                                                                       Thermal Oxidizers
                                                                                                                                                                                        Paul Melton and Karl Graham
TABLE OF CONTENTS
                                                                                                                                                           637
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              21.1            INTRODUCTION                                         during this process, some elements in wastes (e.g., sulfur and
                                                                                   chlorine) form compounds (e.g., sulfur dioxide and hydrogen
              Although improvements are continually made to the effi-
                                                                                   chloride) that, if present in sufficient quantities, must be recov-
              ciency of the many chemical and mechanical manufacturing
                                                                                   ered or removed from the combustion products by post-oxida-
              methods used to produce an ever-increasing number of com-
                                                                                   tion methods to meet various federal, state, and local air quality
              pounds and products, unwanted by-products result from vir-
                                                                                   guidelines. Other elements or compounds in wastes (e.g.,
              tually all methods. Such by-products can exist in the vapor,
                                                                                   sodium, sodium chloride, catalysts, or other inert solids) will
              liquid, or solid phase. Many are hydrocarbons, although
                                                                                   produce particulates that, if present in sufficient quantity, will
              some non-hydrocarbon materials also exist. Regardless, the
                                                                                   also have to be removed by post-oxidation treatment. If nitrogen
              many different by-products must be safely contained or
                                                                                   is organically bound to any waste compound, special staged
              destroyed to prevent potential environmental damage.
                                                                                   oxidation methods may have to be used to prevent formation
                 The by-products come from many different industrial sec-          of excessive amounts of NOx. The same methods can be used
              tors. Petroleum and natural gas production and refining, petro-      to break down existing NOx that is part of a waste.
              chemical manufacturing, pulp and paper production,
                                                                                      A number of factors determine the design of thermal oxida-
              agricultural chemicals, pharmaceuticals, distilling, automo-
                                                                                   tion systems. Process variables such as the waste composition
              biles, plastics molding, and carbon fiber and fiber optics
                                                                                   and flow rate affect the size, materials of construction, and
              production are just a few of the diverse areas that produce
                                                                                   stability of the system. Economic considerations often impact
              wastes. The by-products can be the remains of the normally
                                                                                   decisions of capital expenditure vs. operating costs, as is the
              less than 100% efficient chemical processes used to create
                                                                                   case with determining the feasibility of heat recovery systems.
              hydrocarbon-based products. The wastes can be impurities
                                                                                   Regulations set the required destruction efficiencies, emission
              and catalysts in feedstocks that are not consumed during the
                                                                                   rates, and acceptable ground-level concentrations. Very few
              process. Manufacturing processes in widely varying fields
                                                                                   applications have identical specifications. Thus, many systems
              often require significant ventilation resulting in contaminated
                                                                                   are custom designed to satisfy the process, economic, and reg-
              air that must be treated. By-products can vary from a few
                                                                                   ulatory requirements of a particular application.
              parts per million (ppm) in air or water to nearly 100% con-
                                                                                      Regardless of the specific design, most thermal oxidation
              centration of a hydrocarbon.
                                                                                   systems consist of some or all of the following components:
                 Many methods of elimination are available. Smaller
                                                                                         1. a device and method to supply oxygen to the process to
              amounts of nonsoluble solids and liquids can be put into sealed
                                                                                            initiate and sustain oxidation (burner or catalyst)
              drums and isolated in secure landfills. Larger amounts of
                                                                                         2. a vessel (combustion chamber/thermal oxidizer) to con-
              liquids, primarily contaminated water, have been injected into
                                                                                            tain the waste hydrocarbons during oxidation
              deep wells. For all practical purposes, vapors cannot be stored            3. a heat recovery (heat exchanger or boiler) and/or flue gas
              and must be treated as generated. Activated carbon, for exam-                 conditioning system
              ple, can be used to adsorb organic materials from vapor. Strip-            4. emission control equipment (filters, scrubbers, etc.) to
              ping and absorption can also remove contaminants from liquid                  treat the flue gas prior to discharge to the atmosphere
              and vapor streams. Filtration methods are used to remove solid             5. an elevated exhaust point (stack) through which the flue
              materials from vapors and liquids. None of these methods,                     gas can be dispersed into the atmosphere
              however, actually destroys the waste material. Chemical and                6. control hardware and logic to automatically maintain and
              biological treatments are used to destroy organic waste but                   monitor the various process parameters to ensure safe
              may not be the most cost-effective alternative for rapidly and                operation
              efficiently treating large amounts of material. The most effec-         The purpose of this chapter is to provide a better under-
              tive method of rapidly eliminating a high percentage of hydro-       standing of the use of thermal oxidation to destroy fume and
              carbon contaminants is to oxidize the organic materials at an        liquid wastes. To accomplish this, the following are needed.
              elevated temperature (at or above 1500°F/800°C). Such high-
              temperature oxidation is known as combustion or thermal                      • An explanation of the basic practical thermal oxidation
              oxidation. For some contaminated air streams, effective oxi-                   and post-oxidation processes and components that can
                                                                                             be combined into complete systems to destroy hydro-
              dation can also be achieved at lower temperatures using a
                                                                                             carbon wastes and treat the combustion products to
              catalyst to increase the oxidation reaction rate.
                                                                                             achieve required emission limits.
                High-temperature thermal oxidation quickly and efficiently                 • Examples of practical complete system configurations
              destroys hydrocarbon-based waste materials, converting the                     that can be applied to treat different waste compositions
              carbon and hydrogen to carbon dioxide and water. However,                      and combinations.
                                                                                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   21.2                                                  COMBUSTION BASICS          must be completely oxidized. The final oxidation is completed
                   The prerequisites for, the actions during, and the results of                    at temperatures significantly lower than flame temperature,
                   combustion must be known to design a thermal oxidation                           thereby minimizing NOx formation, although SOx is formed.
                   system equipment that will achieve the destruction and
                   removal efficiencies needed to protect the environment.                          21.2.3 NOx Formation
                                                                                                    In Chapter 6, NOx formation is discussed at length. Basically,
                   21.2.1 Material and Energy Balance                                               three mechanisms for NOx formation are present. Thermal
                   To correctly choose and design the components of a thermal                       NOx is formed by the high-temperature reaction of nitrogen
                   oxidation system, a certain amount of process information                        with oxygen. Formation increases exponentially with increas-
                   must be developed. For the burner, the designer must know                        ing operating temperature. At greater than 2000°F (1100°C),
                   the amount and properties of fuel/waste and the amount of air                    it is usually the primary source of NOx if the waste does not
                   required to provide stable, effective combustion. For the com-                   contain nitrogen compounds. Prompt NOx is formed by hun-
                   bustion chamber, the operating temperature, volume, and                          dreds of rapid reactions between nitrogen, oxygen, and hydro-
                   properties of the combustion products must be determined.                        carbon radicals, intermediate species formed during the
                   For post-combustion treatment of the combustion products                         combustion process. Prompt NOx can be a large contributor in
                   such as heat recovery or flue gas conditioning, the mass flow                    lower temperature combustion processes. Fuel NOx is
                   and composition of the combustion products must be known.                        formed by the excess-oxygen combustion of organic com-
                   For emission control applications such as acid gas removal or                    pounds containing nitrogen. However, as noted in the preced-
                   particulate removal, the amount of the pollutant must be                         ing section, NOx formation can be sufficiently reduced by
                   known to predict the level of removal required. By completing                    initially utilizing the substoichiometric combustion process to
                   material and energy balances at different equilibrium points                     destroy the waste.
                   throughout the overall process, all of this information can be
                   generated. This information is then used to configure systems                    21.2.4 Carbon Monoxide
                   and to design and dimension the individual components.                           Carbon monoxide (CO) is produced by all combustion reac-
                                                                                                    tions in relatively small amounts, especially if proper burner
                   21.2.2 Oxidizing/Reducing Combustion                                             design is followed. As the products of combustion travel
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              removed, while SO2 is normally just removed. Although                                pilot to provide the initial source of ignition; assemblies to
              sulfur and chlorine are the most common acid-producing                               introduce the fuel, waste, and air; and the means to ensure
              components, phosphorus, fluorine, and bromine are occa-                              flame stability once lit. Burners are used over a wide range of
              sionally encountered. Phosphorus can cause corrosion prob-                           heat releases and can burn gas and/or liquid fuels and com-
              lems in heat recovery equipment because of high dew points.                          bustible waste streams. The mixing of fuel/waste with com-
              HF is very reactive and will attack virtually every part of a                        bustion air is accomplished by the combination of air velocity
              system until neutralized. Bromine in organic compounds is                            through the burner (usually referred to as “pressure drop”)
              very difficult to convert to HBr for easy removal. Much of it                        and the velocity and distribution of the combustible material
              goes to Br2 in normal oxidizing conditions. A special pro-                           as it is introduced into the burner.
              cess must be used to achieve high conversion to HBr to
              allow high removal efficiency.                                                       21.3.1.1 Pilots
                                                                                                   A pilot is essentially a very small burner that provides the igni-
              21.2.6 Particulate                                                                   tion source for the main burner fuel. Pilots normally utilize nat-
                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              Particulate can exist in waste streams as inert solids that                          ural gas or propane gas that is mixed with air in the pilot
              remain after the waste material is oxidized. Common exam-                            assembly. Two methods of mixing the air and fuel are used. An
              ples would be NaCl in wastewater and catalyst material car-                          inspirated air pilot utilizes pilot gas pressure drop through an
              ried over in the off-gas stream from a catalytic cracking unit.                      orifice at the entrance of a venturi assembly to educt air into
              Organic materials can contain elements that remain after the                         the venturi throat where it mixes with the pilot gas. A pressur-
              organic waste is burned. Examples include elements such as                           ized air pilot must have air available at a pressure greater than
              sodium or silicon in compounds catalyst materials such as                            the operating pressure of the burner. Pressurized air is metered
              cobalt, manganese, and nickel. Depending on the point of                             by use of an orifice or valve into a small mixing chamber
              introduction into the system, the particulates formed will                           where it mixes with the pilot gas, also metered into the cham-
              vary in size from several microns to sub-micron in diameter.                         ber through an orifice. The premixed air and fuel then travel
                                                                                                   through a tube to a special high-temperature pilot tip where it
                                                                                                   is ignited.
                                                                                                      There are two common methods for pilot ignition. The most
              21.3                                                      BASIC SYSTEM BUILDING
                                                                                                   simple ignition method utilizes a high-voltage (> 6000 V)
                                                                        BLOCKS                     electric spark to ignite the air/fuel mixture at the pilot tip.
              A simple thermal oxidation system may consist of only com-                           This arrangement is inexpensive, but heat exposure over time
              bustion components, that is, a burner mounted on an integral                         can damage the spark delivery hardware and lead to ignition
              vertical combustion chamber and stack. A complicated                                 difficulties. A common alternative is the flame-front ignition
              system may include the combustion components and all                                 system, in which a spark, located outside the burner, ignites
              possible heat recovery and flue gas treatment components                             an air/fuel mixture flowing to the pilot tip through a steel
              such as boilers, hot oil heaters, waste preheaters, flue gas                         pipe of about 1 in. (2.5 cm) diameter. The spark initiates a
              conditioning equipment, acid gas and particulate removal                             flame front that travels through the flowing mixture in the
              equipment, and a stack. A catalytic system with a preheater,                         pipe finally emerging near the area of the pilot tip, igniting
              burner, catalytic oxidation chamber, and stack lies some-                            the pilot flame. Only the open pipe from which the flame
              where between the simple and complicated systems. Each of                            front emerges to ignite the pilot air/fuel mixture is exposed
              the components is a stand-alone process block. When neces-                           to heat. The end of that flame-front pipe is high-temperature
              sary, the blocks are combined to build a complete thermal                            stainless steel and is far less likely to be damaged and result
              oxidation system. To properly utilize the building blocks, an                        in ignition difficulties.
              explanation of the components as well as the advantages and
              disadvantages is necessary.                                                          21.3.1.2 Fuel Introduction
                                                                                                   To be considered a fuel, the material must have sufficient heat-
              21.3.1 Burners                                                                       ing value to sustain stable combustion once ignited. The mate-
              The burner is the component required to mix and ignite the                           rial can be a gas or a liquid. To quickly and efficiently burn, a
              fuel (and waste, if capable of sustained combustion) and air,                        gas need only be mixed with the appropriate amount of air, but
              and to provide a stable flame with appropriate shape and                             a liquid must first be atomized into fine droplets and then
              combustion characteristics throughout the design operating                           mixed with air. Unlike the pilot, main burners used in thermal
              range of the system. The basic parts of a burner include a                           oxidizers almost never use premixed air and fuel. Therefore, a
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                   method must be employed to quickly mix the main fuel and                     assist medium such as steam or air is utilized. Droplet sizes
                   air. The most effective method is to separate the main fuel flow,            similar to that achieved in a mechanical tip at 200 to 300 psig
                   whether gas or atomized liquid, into smaller “jets” of flow                  (14 to 20 barg) can be achieved in an assist medium gun at
                   using a tip or multiple tips with orifices (ports) drilled at the            only 60 to 100 psig (4 to 7 barg) pressure drop for both fluids.
                   proper size and orientation. This serves two purposes: (1) more              Lower pressure operation also has the important advantage that
                   individual jets provide more fuel surface area exposed to the                it is accomplished with larger liquid passages through the tip,
                   combustion air, regardless of the jet velocity; and (2) as the jets          making it less susceptible to plugging.
                   of fuel exit the tip at significant velocity, combustion air is
                   drawn into the rapidly dispersing fuel jet. Thus, air is quickly
                   mixed with the fuel. Once the fuel/air mixture is ignited, a                 21.3.1.3 Waste Introduction
                   mechanism is required to provide flame stability, that is, con-              Waste gases and waste liquids that are not capable of burning
                   tinuous ignition of the fuel/air mixture near the point of fuel              as a stable fuel are usually introduced downstream of the
                   introduction. This is usually accomplished by establishing an                burner. However, although a waste does not have sufficient
                   airflow disturbance adjacent to some of the fuel exit ports. The             heating value to sustain stable combustion, it is still classified
                   flow disturbance creates localized recirculation of a portion of             as endothermic or exothermic for a specific operating tem-
                   the reacting flame constituents, thus continuously igniting the
                                                                                                perature. Waste is considered to be endothermic if the hydro-
                   main fuel as the fuel mixes with air.
                                                                                                carbon content (heating value) is small and much more than a
                                                                                                minimum amount of auxiliary fuel must be burned to main-
                   21.3.1.2.1 Gas Tips
                                                                                                tain the required operating temperature in the combustion
                   For fuel gas or higher-pressure combustible waste gas introduc-
                                                                                                chamber. If the heating value is high enough that a cooling
                   tion, specially designed tips made of heat-resistant alloys are
                   utilized. They are mounted on the end of pipes, which are often              medium must be added to control the maximum operating
                   removable through the front of the burner, so the tips can be                temperature, the waste is considered exothermic. A waste can
                   externally accessed for maintenance and replacement. Based on                be exothermic at a lower operating temperature but endother-
                   the type and amount of gas to be introduced and the amount of                mic for a higher operating temperature. Waste liquids are nor-
                   gas pressure available at the tips, a specific number of firing              mally available at higher pressure and can be atomized into the
                   ports are drilled into each tip. Smaller ports, known as ignition            system using hardware (tips, etc.) similar to that used for
                   ports, are also drilled into each tip. A very important purpose of           liquid fuels. Waste gases, on the other hand, are normally
                   the firing and ignition ports is to direct and shape the gas dis-            available only at lower pressures, so injection hardware must
                   charge from the tips, thereby directing and shaping the flame.               be designed for the lower pressure drop. Waste gas injection
                   For lower heat release burners, a single gas tip, located at the             “tips” are often simply open pipes. As with fuel gas, more
                   center of the burner, is often used. For higher heat release burn-           pipes will better distribute the waste gas and mix it more rap-
                   ers, multiple gas tips, arranged symmetrically around the cir-               idly with available oxygen. Endothermic wastes may not sup-
                   cumference of the burner, are used, just as multiple ports on a              port stable combustion but a significant amount of organic
                   single tip are used, to increase the rate of mixing of the fuel and          material (heating value) may still be present. If so, liquid and
                   air thereby increasing the oxidation reaction rate. Rapid oxida-             gas waste injection hardware may have annular spaces
                   tion of fuel is important because it must be burned before non-
                                                                                                around them for local introduction of air to react with the
                   flammable wastes, such as contaminated water, can be
                                                                                                organic material. The air entering through the annulus also
                   introduced into the system. The gas pressure drop through the
                                                                                                serves to cool the hardware as well as providing some or all
                   tips is usually in the range of 10 to 25 psig (0.7 to 1.7 barg).
                                                                                                of the air required for oxidation. Positioning of the waste
                   21.3.1.2.2 Liquid Tips                                                       injection hardware is critical. Low organic content wastes,
                   Liquid fuel and liquid waste tips serve the same purposes as                 whether liquid or gas, should be introduced downstream of
                   gas tips but are more complex. Mechanical atomization,                       the burner flame zone so as not to impair oxidation of the
                   requiring a 200 to 300 psig (14 to 20 barg) liquid pressure drop             fuels and result in formation of carbon monoxide, unburned
                   at the tip, can be used. However, the turndown for mechanical                hydrocarbons, or worse, soot. If the waste is air that is only
                   atomization is only about 3:1. At that point, the atomized                   slightly contaminated with organic material, it may be used
                   liquid droplets become larger than preferred for optimum burn-               as the combustion air source, and introduced directly
                   ing. To maintain the small droplet size over a larger operating              through the burner. This is the method of waste introduction
                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   range and reduce the amount of liquid pressure needed, an                    for a catalytic system.
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                                                                                                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              642 The John Zink Combustion Handbook
              21.3.1.4 Low Pressure Drop Burners                                     systems require at least one blower to move the gas through
              Low pressure drop burners are designed to operate with a               the system. Figure 21.1 illustrates a typical natural-draft
              very low pressure drop/air velocity through the combustion             burner configuration.
              zone. Generally, the motive force that “pulls” the air through
              the burner is created by the buoyancy of hot flue gas in the
                                                                                     21.3.1.5 Medium to High Pressure Drop
              stack relative to the cooler atmospheric air. This “pull,” or
                                                                                              (Forced-Draft) Burners
              “draft,” created depends on stack height, flue gas tempera-
              ture, flue gas flow rate, and stack diameter. Because the draft        Medium to high pressure drop burners operate at much
              is a natural result of system configuration, it is designated          higher pressure drops than natural-draft burners because the
              “natural” draft, and burners that utilize this motive force are        combustion air supplied to the burner is pushed, or “forced,”
              natural-draft burners. Natural-draft systems typically gener-          into the system by a blower or compressor. Thus, such burn-
              ate 0.15 to 1.5 in. (3.8 to 38 mm) w.c. (water column) nega-           ers are known as forced-draft burners. Generally, the
              tive pressure at the stack base. The majority (75 to 80%) of           medium pressure drop burner would be designed for 1.0 to
              the drop occurs as the air passes through the throat of the            8.0 in. (2.5 to 20 cm) W.C. pressure drop. A high pressure
              burner into the combustion zone. At such low pressure drop,            drop burner may be designed for 30 in. (76 cm) W.C. or
              the velocity of the air at the burner throat can be no more than       more pressure drop. With much more energy available to
              15 to 50 ft/s (4.6 to 15 m/s). As a result, the burner flow-area-      provide fuel and air mixing, the heat-release-to-flame-length
              vs.-air-flow ratio is relatively large, and air flow control and       ratio can be much greater for both gas and liquid fuels. Low
              distribution can be more difficult. With little energy available       pressure combustible waste gases can be more easily intro-
              in the form of combustion air velocity, and because a short            duced because the greater energy of the air provides a large
              flame is usually desired, multiple gas tips are normally uti-          portion of the fuel-to-air mixing. Combustible waste liquids
              lized with a fuel gas fired natural-draft burner. For liquid           that are more difficult to burn are more easily burned in a
              fueled natural-draft burners, an increased number of ports             higher pressure drop burner. With more pressure available,
              and wider-angle port orientations for the liquid tip are               the flow-area-vs.-air-flow ratio is smaller, so the burner is
              methods used to shorten the flame.                                     smaller. Also, proper combustion air flow distribution is
                 Natural-draft systems are impractical if any equipment              more easily achieved. Some of the available pressure can be
              (e.g., boiler or scrubber) with substantial pressure drop is           used to impart an angular velocity component to the com-
              required downstream of the furnace. Hence, most incinerator            bustion air to further aid in mixing. Figures 21.2 and 21.3
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Pilot
                                                                   Atomizing
                                                                   Steam
                                                                   Waste Liquid
                                                                   (>6,000 Btu/lb)
                                                                   Fuel Gas
                   are typical configurations for medium and high pressure                                center of the burner, through a stabilizer cone, with gas tips
                   drop burners, respectively.                                                            located at the circumference of the circular throat of the
                                                                                                          burner. This configuration is shown in Figure 21.2. By sepa-
                   21.3.1.6 Combination Gas and Liquid Fuel Burners
                                                                                                          rating the fuels, better air mixing and faster burning occurs. If
                   Combination fuel burners are virtually the same as dedicated
                   gas or liquid burners. The difference is the special care                              the gas tips are located near the liquid tip, the gas will con-
                   required when locating the liquid and gas tips. A typical con-                         sume the air more readily, delaying mixing of air with the
                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   figuration would be for the liquid injection point to be at the                        atomized liquid. This would delay the oxidation reaction of
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                                                                                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
             TABLE 21.1 Typical Thermal Oxidizer Operating Conditions
                                                                   Operating   Retention                 can increase undesirable emissions, such as NOx.
                                                                    Temp.        Time      Typical          Some complex hydrocarbons in waste require longer resi-
                             Waste Type                              (°F)      (seconds)    DRE
                                                                                                         dence Times and/or higher Temperatures than a simple sulfur
             Lean gases containing                                 1200–1400    0.3–0.6    >99           compound such as H2S. Longer Time means a larger vessel,
              hydrocarbons or sulfur compounds
                                                                                                         which increases capital cost. Higher Temperature means more
             Lean gases containing common                          1600–1800      1        >99.9
              chlorinated solvents                                                                       fuel usage, unless the waste is exothermic, which increases
             Liquid streams                                        1600–2000   1.0–2.0a    >99.99        operating cost.
             Halogenated hydrocarbon liquids                       1800–2000   1.5–2.0a    >99.99           For the same operating temperature, a waste stream con-
             Dioxins and polychlorinated                              2200        2        >99.9999
              biphenyls (PCBs)                                                                           taining primarily water with a hydrocarbon contaminant will
             a
                                                                                                         require more time for the mixture to vaporize and raise the
                 Extra time for liquids to allow for droplet evaporation.
                                                                                                         hydrocarbon to its oxidation point than would a vapor waste
                                                                                                         stream containing the same hydrocarbon contaminant. Again,
                 the liquid resulting in a longer flame zone. In general, the                            a longer time means a larger, more expensive T.O.
                 faster the gas and liquid fuels are burned, the sooner non-                                If the flow in the T.O. is not relatively Turbulent or contains
                 combustible wastes can be introduced to the system.                                     areas of stagnant flow, a longer residence Time will be required
                                                                                                         for the available oxygen to come into contact with the organic
                                                                                                         material so it can be oxidized and destroyed. This poor mixing
                 21.3.2 Furnace/Thermal Oxidizer/                                                        of waste with air delays the onset of oxidation. A larger, more
                        Incinerator/Combustion Chamber                                                   costly vessel would be needed to achieve the desired DRE.
                 Although combustible fuels and wastes are introduced through                            T.O. designers are careful to avoid such areas of stagnant flow
                 the burner in high-temperature oxidation systems, noncombus-                            to minimize wasted volume whenever possible.
                 tible wastes must be introduced downstream of the flame zone.                              A high DRE requirement may result in the need for longer
                 Once all the fuel, waste, and air are combined, several inti-                           residence time and/or higher operating temperature, assuming
                 mately connected and simultaneous conditions must exist to                              the mixing is adequate. The greater the T.O. temperature, the
                 achieve the required destruction removal efficiency (DRE).                              greater the oxidation reaction rate. Again, a higher tempera-
                 The mixture must be (1) exposed to a sufficiently high Tem-                             ture may require additional fuel, adding to the operating cost.
                 perature (2) for an adequate period of Time (3) in a relatively                         A higher temperature can also result in the need for more
                 Turbulent environment to enable the oxidation reactions to                              expensive refractory material. On the other hand, the
                 reach the degree of completion needed to achieve the waste                              increased reaction rate could reduce the residence time needed
                 destruction efficiency required. These conditions are known                             and result in a smaller volume T.O., thus decreasing capital
                 as the “Three Ts” in the combustion industry. The vessel that                           cost. For wastes with high heating values, intentionally
                 provides the environment for all these conditions is known by                           increasing the operating temperature of a T.O. in order to
                 various designations as a furnace, thermal oxidizer, combus-                            reduce T.O. size can be economically attractive.
                 tion chamber, or incinerator. For consistency, this vessel is                              Increasing the temperature has the above-mentioned pros
                 referred to as a thermal oxidizer (T.O.). To provide the environ-                       and cons, but an overall drawback is that higher temperatures
                 ment needed for the three conditions to be optimized, the T.O.                          may lead to higher nitrogen oxide (NOx) emissions.
                 must have the correct volume and geometry.                                                 It is obvious that for T.O. design, it ultimately becomes a
                                                                                                         trade-off between the capital cost of increased residence time
                 21.3.2.1 Size                                                                           and the costs and problems associated with an increase in
                 The optimal residence Time, or working volume, needed to                                operating temperature.
                 meet the required DRE in the T.O. is a function of many factors,                           Table 21.1 shows typical T.O. operating conditions for a
                 the most important of which are waste composition, waste                                variety of cases. Although ranges of operating conditions have
                 characteristics, degree of Turbulence, DRE required, and T.O.                           been developed by testing, experience with actual operating
                 operating Temperature. The working volume is generally                                  systems allows specific conditions to be set on a case-by-case
                 considered to be from the point at which the final amount of                            basis, depending on past experience with similar waste streams.
                 waste is introduced, to the point nearest the incinerator outlet
                 where the operating temperature is measured. Size can also                              21.3.2.2 Flow Configuration
                 be influenced by the capital and/or operating costs, which are                          The orientation and flow configuration of the T.O. must
                 not directly related to the destruction efficiency of hydrocar-                         accommodate the user’s space restrictions, the characteristics
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                   of the waste being burned, the downstream flue gas treat-                         Refractories used in T.O. vessels are primarily ceramic
                   ment requirements, and again, provide the most cost-effec-                     materials made from combinations of high-melting oxides
                   tive solution. The T.O. can be arranged for vertical up-flow,                  such as aluminum oxide or alumina (Al2O3), silicon dioxide
                                                                                                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   horizontal flow, or vertical down-flow of the combustion                       or silica (SiO2), or magnesium oxide or magnesia (MgO).
                   products. Vertical up-flow is preferred for the simplest situa-                Refractories containing primarily alumina and silica are
                   tions when the combustion products are vented directly to                      “acid” refractories and are by far the most common type used
                   atmosphere with no downstream treatment needed. This is                        for T.O. linings. Refractories containing large amounts of
                   also the arrangement of choice if the equipment located                        MgO are “basic” refractories and are used for their good
                   immediately downstream of the T.O. requires an elevated                        resistance to specific reactive ash components, particularly
                   entry. Horizontal flow is the most utilized configuration                      alkali metal compounds, which result from burning some
                   when a heat recovery boiler or other equipment with side                       inorganic salt-laden wastes. Because MgO refractories are
                   entry near grade is located immediately downstream of the                      significantly more expensive than the alumina and silica mate-
                   T.O. Vertical down-flow is required in many systems when a                     rials, the T.O. configuration is often optimized to allow use
                   waste is burned that contains ash-forming materials or salts                   of and to maximize the life of the less-alkali-resistant alumina
                   to prevent the accumulation of these materials in the T.O.                     and silica refractories.
                   On-line solids collection and removal equipment must be                           Refractories can be further divided into “hard” and “soft”
                   installed at the base of the T.O. for this case.                               categories, which applies to their state when ready for service.
                      Most T.O. vessels are cylindrical in design with length-to-                 Hard refractories can be further categorized as bricks, plastics,
                   inside diameter of refractory (L:D) ratios ranging from 2:1 to                 or castables. Brick refractory is available in a wide variety of
                   4:1. For a cylinder of a specific volume, the surface area is                  compositions ranging from high-alumina-content aluminosil-
                   the least when the L:D is to 1:1. As L:D increases for the                     icates to magnesites. The binding material in brick refractory
                   same volume, the surface area of the cylinder increases. From                  can be calcium cement based or phosphoric acid based. A
                   an L:D of 1:1 to 2:1, the increase is almost 26%; from 1:1 to                  brick lining is held in place by gravity and/or the compressive
                   3:1, the increase is more than 44%; and from 1:1 to 4:1, the                   forces resulting from proper placement (as in the construction
                   increase is almost 59%. The result is that the cost of the                     of an arch). The linings must be installed in a vessel by skilled
                   cylinder increases as L:D increases. Also, the greater the L:D,                craftsmen and require more time to install, especially if special
                   the longer the T.O., thus requiring a larger plot area for a                   shapes have to be assembled by cutting bricks. Because of its
                   horizontal configuration. A positive result of greater L:D is a                high density and low porosity (good penetration resistance to
                   smaller cross-sectional flow area, increasing flue gas velocity.               molten or refractory-attacking materials), brick typically offers
                   As discussed in the previous section, the greater velocity helps               the best abrasion and corrosion resistance of any refractory.
                   minimize dead zones in the T.O., improving mixing and the                      However, the high density results in the brick usually being
                   DRE, which enables use of a smaller working volume. A                          heavy (120 lb/ft3 or more) and the insulating value being lower,
                   smaller volume reduces equipment costs. Another important                      resulting in greater lining thickness to achieve the same ther-
                   consideration that affects L:D is that flame or liquid impinge-                mal resistance. An additional consequence of a thicker lining
                   ment on the T.O. will cause incomplete combustion and                          is that a larger, more expensive T.O. shell is required to main-
                   refractory deterioration. A larger diameter or length may be                   tain the needed inside diameter.
                   required to maximize DRE or equipment life, regardless of                         Plastic refractories have similar alumina and silica content
                   the oxidation reaction rate.                                                   as brick and are so-called because the binder in plastic
                                                                                                  refractories — usually a water-wetted clay but also available
                                                                                                  with a phosphoric acid base — is not set and the material
                   21.3.3 Refractory                                                              is very malleable or “plastic” in the ready-to-install condi-
                   Virtually all T.O. vessels are internally lined with heat-resis-               tion. Once in place, however, the binder is set by exposure
                   tant refractory material. Installation of a refractory lining pro-             to air or to heat. Plastic refractories are shipped ready-to-
                   vides three important consequences.                                            install in sealed containers to provide shelf life. Once
                                                                                                  opened, the material must be used immediately. Because the
                         1. The steel shell is protected from the high-temperature                refractory is in a “plastic” state, it can be forced or
                            environment inside the T.O.                                           “rammed” into place and can be formed into almost any
                         2. An extremely hot external surface is avoided.                         shape needed. It is held in position by an anchor system that
                         3. The oxidation process is insulated against heat loss so that          consists of a metal piece welded to the shell and a prefired
                            the vessel is a reasonably adiabatic chamber.                         anchor (a special ceramic refractory shape) held by the metal
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              portion attached to the shell. The anchor extends through                Common problems related to all refractories include the
              the lining to the surface of the refractory. Also, because            following:
              plastic refractory also is dense (140 lb/ft3 or more), has low
                                                                                         1. Improper operation or design can lead to thermal shock
              porosity, and is relatively easy to install, it is often used in              or erosion damage.
              difficult-to-brick places when a high-temperature, corrosive               2. Normal acid gases (SO2 or HCl) in the combustion prod-
              environment is expected. The total cost of plastic refractory,                ucts can raise the gas dew-point temperature to as high
              based on material and installation, insulating capabilities,                  as 400°F (200°C). Excessive refractory thickness, rain, or
              and erosion and corrosion resistance is usually less than that                extremely cold weather can result in a furnace shell temp-
              of comparable composition brick, especially if the final                      erature below the dew point, which can result in acid
              shape needed is unusual.                                                      condensation and its associated corrosion. To minimize
                                                                                            weather-related effects, a ventilated, sheet-metal rain
                 Castable refractories consist of fireclay or high-alumina-                 shield is often used to prevent rain contact and limit exter-
              content aggregates that are held together in a matrix of                      nal convective heat transfer.
              hydraulic calcium aluminate cement. Castable refractories                  3. Flame impingement on refractory surfaces can result in
              are the least expensive to install among the hard refractories.               higher-than-expected temperatures, frequent temperature
              Castable refractory is shipped in bags like dry cement,                       fluctuations, and locally reducing conditions, all of which
              mixed with water prior to installation (a variable that can                   can shorten refractory life.
              affect its final properties), and either poured or gunned                  4. Liquid impingement on hot refractory will cause spalling
              (slightly dampened and blown through a nozzle) into place.                    and erosion, which decrease refractory life.
              The castable refractory is held in place by alloy steel anchors            5. At higher temperatures, salts (those containing Na, Ca,
              that are welded to the furnace shell. The castables used for                  K, etc.) and alkaline-earth oxides (e.g., K2O, Na2O, CaO,
                                                                                            and MgO) will react with most acid refractories. The result
              incinerator applications usually weigh between 50 lb/ft3 and
                                                                                            of these reactions can be a loss of mechanical strength,
              120 lb/ft3. Compared to the other hard refractories, castables
                                                                                            crumbling, or even a “fluxing” (i.e., liquefaction) of the
              generally have the best insulating properties and the poorest                 exposed surface. In any case, refractory life is shortened.
              corrosion and erosion resistance. To minimize lining thick-
              ness, a layer of insulating castable refractory is often
                                                                                    21.3.4 Catalytic Systems
              installed as a backup to the brick layer, which is the internal
                                                                                    In a typical thermal incinerator, waste destruction occurs in
              surface of a T.O. The brick provides the resistance to high
                                                                                    the flame or T.O. because of high-temperature, gas-phase
              temperature, corrosion, and abrasion, while the castable pro-
                                                                                    oxidation reactions. In a catalytic unit, waste destruction
              vides the insulation qualities needed to reduce overall refrac-
                                                                                    occurs within a catalyst bed at much lower temperatures via
              tory thickness.
                                                                                    surface oxidation reactions. The lower operating tempera-
                 Soft refractories are composed of ceramic fibers formed            ture required in a catalytic unit is its advantage because the
              into a blanket, a soft block module, or stiff board. They             lower temperature reduces the need for auxiliary fuel to
              remain soft when in service. The blanket and board are                maintain furnace temperature, thus lowering the operating
              usually held in place with stainless or other high temperature        cost. Another advantage to lower operating temperature cat-
              alloy anchors (or pins) welded to the inside T.O. wall. They          alytic oxidation is that NOx formation during oxidation is
              are easily installed by pressing onto the steel shell with the        reduced. The lower temperature also eliminates the need for
              pins projecting through. Self-locking washers are then                internal refractory lining, reducing the shell diameter. How-
              placed on the pins to keep the material from coming loose.            ever, use of a stainless steel shell and external insulation is
              The block modules have an internal frame that is attached             necessary and cancels any reduced operating cost. A major
              to an anchor welded to the shell. Soft refractories are much          limitation of catalytic oxidation is that the catalyst is suscep-
              lighter (usually less than 12 lb/ft3), are much better insula-        tible to damage from certain compounds in the waste or
              tors, and can be heated rapidly without fear of damage                from overheating. Most waste streams for which catalytic
              because of thermal shock. Thermal shock is the rapid ther-            oxidation is considered are contaminated air streams that
              mal expansion of the surface of hard refractory. That layer           have more than enough O2 to complete combustion. It is pos-
              then separates and falls off, reducing the refractory thick-          sible to treat an inert gas stream, such as nitrogen contami-
              ness. Soft refractories are limited to 2300°F (1260°C), are           nated by a small amount of hydrocarbon, but enough air
              susceptible to erosion, and do have poor resistance to alkali         must be blended with the gas stream prior to entering the
              liquids and vapors. Ceramic fiber refractory is very cost             catalyst bed to give approximately 2% O2 in the flue gas
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              effective in certain applications.                                    after oxidation has occurred. This greatly increases the
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                   volume and overall capital and operating costs. Another lim-               maintained above the ignition temperature. As the waste
                   itation is that a DRE greater than 99% requires a significant              moves through the catalyst bed, oxidation occurs and the gas
                   amount of catalyst, which increases the capital cost. Recu-                and catalyst temperatures rise. The temperature rise in the
                   perative heat exchangers are often used downstream of the                  catalyst bed depends on the heating value of the waste stream.
                   catalytic unit to preheat the incoming waste gas to further                If subjected to temperatures between 1200°F (650°C) and
                   reduce the fuel requirement.                                               1350°F (730°C) for very long, many catalysts will begin to
                      Catalysts used in catalytic oxidation systems actually con-             suffer significant damage as a result of sintering. Sintering is
                   sist of a ceramic or stainless steel base material (carrier or             the melting and coalescence of the active catalyst material,
                   support structure) covered with a thin coating of catalyst                 which results in a loss of available catalyst surface area and,
                   material. The more surface available for contact with the                  consequently, a loss of catalytic activity. The rate of sintering
                   waste gas, the greater the amount of oxidation reaction. The               increases rapidly with increasing temperature. A catalyst that
                   catalyst material is generally one of two types: noble metal               shows the first signs of damage at 1200°F (650°C) will likely
                   or transition metal oxide. The noble metals are generally                  be severely damaged in a matter of hours at 1500°F (820°C).
                   preferred. Catalyst type is also based on the ability of the               Therefore, for long-term operation and best DRE, the catalyst
                   catalyst to resist chemical deactivation (poisoning) from com-             bed needs to be maintained above the temperature at which
                   pounds present in waste streams. Typical compounds respon-                 high-rate reactions occur but below the temperature at which
                   sible for poisoning are HCl, HBr, HF, and SO2 (reversible                  significant sintering occurs. Typical catalyst outlet tempera-
                   poisons) and elements such as Pb, Bi, Hg, As, Sb, and P                    tures are in the range of 600°F (320°C) to 1000°F (540°C).
                   (irreversible poisons). While catalysts have been formulated                  Destruction efficiency in a catalytic incinerator depends on
                   that will retain their activity in the presence of many of these           the waste gas composition, catalyst type and configuration,
                   poisons, there is no single catalyst that is best for all appli-           waste gas temperature at the entrance to the catalyst bed, and
                   cations. An additional reversible situation is fouling by fine             the amount of time the contaminant is exposed to the catalyst
                   particulate, which could be fine rust particles, refractory dust,          (catalyst surface area). Changes in destruction efficiency are
                   or particulate in the waste stream. For this reason, refractory            achieved by changing the amount of catalyst, or by changing
                   is not used upstream of the catalyst bed, and the vessel mate-             the waste flow rate for a given amount of catalyst, either of
                   rial upstream of the catalyst is often made of stainless steel.            which changes the effective exposure (or residence) time. Res-
                   Fine particulate quite simply covers the surface of the catalyst,          idence time in a catalyst bed is often expressed as its inverse
                   reducing the amount of surface area available for reaction.                and is called space velocity (volumetric flow rate of waste,
                   When the DRE has degraded too much, the particulate can                    SCFH/catalyst bed volume, ft3). Typically, catalytic units are
                   often be removed by removing and washing the catalyst                      designed with space velocities of less than 30,000, inlet tem-
                   blocks or by washing in place.                                             peratures less than 700°F (370°C), and outlet temperatures less
                      There are generally two types of catalyst carrier media:                than 1200°F (650°C). Practical catalytic systems typically
                   ceramic beads and honeycomb monoliths. Virtually all new                   achieve destruction efficiencies of 90 to 99%.
                   applications utilize catalysts that are applied onto honeycomb                Catalytic oxidizers must be configured to provide well-
                   monoliths because they require less pressure drop and allow                mixed, uniform waste gas flow at the catalyst bed entrance
                   more flexibility in furnace design and orientation. If a bead              and to avoid flame impingement on the catalyst bed by the
                   catalyst is used, the flow must usually be in a vertical                   heat-up burner. As noted previously, units constructed from
                   (up or down) direction. The honeycomb monoliths can be                     catalyst-coated monoliths can be oriented in any flow direc-
                   installed in any orientation and are usually found in horizon-             tion but are usually mounted in horizontal flowing units to
                   tal flow catalytic oxidizers, which are easier to maintain due             facilitate catalyst loading and maintenance. Systems using
                   to access.                                                                 either a fixed or a fluidized bed of beads are mounted verti-
                      Below some minimum threshold temperature, all oxidation                 cally. Figure 21.4 shows a typical horizontal system with a
                   catalysts become ineffective. At higher temperatures, the oxi-             preheat exchanger.
                   dation rate increases rapidly until the rate becomes limited
                   only by the catalyst surface available for interaction with the
                   waste gas. The temperature at which this rapid increase occurs             21.3.5 Flue Gas Processing Methods
                   varies, depending on the hydrocarbon, but is typically                     In some incineration systems, the flue gas does not require
                   between 400°F (200°C) and 700°F (400°C) and is usually                     treatment to reduce emissions of acid gases or particulate, and
                   referred to as the “ignition” temperature. Catalytic units are             heat recovery is not economical. In such cases, the hot flue
                   designed such that the inlet temperature to the catalyst bed is            gas leaving the furnace is vented directly to the atmosphere.
                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              For many systems, however, some form of flue gas cooling is           products flow over the outside of the tubes while the steam is
              utilized, either by heat recovery and/or conditioning of the          generated on the inside of the tubes. Cooling flue gas from
              flue gas before it enters downstream equipment. In general,           1800 to 500°F (1000 to 260°C) with a boiler can result in
              flue gas cooling is accomplished indirectly or directly. Indi-        substantial steam production. Adding an economizer down-
              rect cooling is achieved by heat transfer from a higher temper-       stream of the boiler will recover even more heat by reducing
              ature mass to a lower temperature mass through the use of             the flue gas temperature to about 350°F (180°C). (An econo-
              heat recovery devices such as boilers, recuperative preheat           mizer is a lower temperature heat exchanger used to heat the
              exchangers, heat-transfer fluid exchangers, or regenerative           boiler feedwater from its normal supply temperature of about
              preheat exchangers. Heat recovery devices remove heat from            220°F (100°C) before it is injected into the boiler.)
              the flue gas to lower the temperature but do not change the
              mass flow rate. Direct cooling is accomplished by adding a            21.3.5.1.1.1 Watertube boiler There are several important
              cooler material directly to the flue gas to complete the neces-       differences between the watertube and firetube boilers. A water-
              sary heat transfer. Adding cooling material to the flue gas           tube boiler (Figure 21.5) is generally less expensive to build for
              increases the total mass flow rate as well as reduces the over-       applications that require high steam pressure (i.e., > 700 psig
              all total gas temperature. The added material can be water, air,      or 48 barg) and/or large steam flows (i.e., > 50,000 lb/hr or
              or recycle flue gas, depending on the downstream equipment.           23,000 kg/hr). Extended surfaces (finned tubes) and superheaters
              Emission control procedures include wet and dry particulate           are more easily incorporated into watertube boilers, often
              removal, wet and dry acid gas removal, and NOx removal.               resulting in smaller space requirements. Most importantly, the
                                                                                    heat transfer surfaces of a watertube boiler are accessible to
              21.3.5.1 Cooling by Heat Recovery                                     soot blowers (high-pressure steam or air lances) used for peri-
              Heat recovery can be in the form of steam with either                 odic cleaning of the flue gas side of the tubes to prevent loss
              firetube or watertube boilers, recuperative heat exchangers,          of efficiency due to fouling by nonmolten particulate resulting
              process oil heaters, or regenerative preheat systems. Such            from waste combustion. Thus, for an application that requires
              heat transfer devices act indirectly on the flue gas so that as       high-pressure steam production from a large flow of combus-
              its temperature is reduced, only the heat content is changed          tion products containing significant amounts of particulate, the
              — not the composition.                                                boiler design of choice is the watertube. The typical flue gas
                                                                                    pressure drop through a watertube boiler is 2 to 6 in. (5 to
              21.3.5.1.1 Boilers                                                    15 cm) w.c. Thus, the watertube boiler is also used when
              There are two basic types of boilers: firetube and watertube.         pressure drop must be minimized.
              In a firetube boiler, the combustion products pass through the
              inside of the boiler tubes while water is evaporated on the           21.3.5.1.1.2 Firetube boiler Firetube boilers have the
              outside. Conversely, in a watertube boiler, the hot combustion        important advantage that virtually all the surfaces in the boiler
                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   are maintained at the steam temperature. Thus, there are no                                              its latent heat of vaporization, as well as the sensible heat at
                   cold spots on which acid can condense. For this reason, fire-                                            the exit temperature.
                   tube boilers are well-suited to those applications where low
                                                                                                                            21.3.5.1.2 Recuperative Preheat Exchanger
                   to medium pressure steam is to be produced from an acidic
                                                                                                                            If no steam is needed, waste heat boilers are not a viable heat
                   flue gas. The typical flue gas pressure drop through a firetube
                                                                                                                            recovery option. However, if a low heating value waste gas is
                   boiler is 8 to 12 in. (20 to 30 cm) w.c. Figure 21.6 shows a
                                                                                                                            being treated and a large amount of auxiliary fuel is needed
                   typical firetube boiler.                                                                                 to maintain the operating temperature for the required DRE, a
                      There are times when the flue gas contains molten particu-                                            preheat exchanger can be used to minimize the auxiliary fuel
                   late but it is cost-effective to cool the flue gas to “freeze”                                           requirement by transferring heat from the flue gas to the
                   molten particulate so the remaining heat can be recovered in                                             incoming waste gas or combustion air. Figure 21.7 shows a
                   a boiler. Even if the flue gas is cooled to 1200°F (650°C), for                                          typical all-welded shell-and-tube heat exchanger. The fur-
                   example, significant heat recovery is still available. It is impor-                                      nace exhaust flows through the tube in the exchanger while
                                                                                                                            the waste gas or combustion air flows around the tubes inside
                   tant to understand that the choice of a quenching medium used
                                                                                                                            the shell. Up to 70% of the energy released in the furnace can
                   upstream of a boiler will affect both the size of the equipment
                                                                                                                            be recovered economically by this method. Normal recovery
                   and the heat recovery. If clean, recycled flue gas from the outlet
                                                                                                                            efficiencies are in the 55 to 60% range. Structural limitations
                   of the system is used for quenching, a relatively large mass is
                                                                                                                            (thermal expansion) typically constrain the hot flue gas tem-
                   required because of its high initial temperature (350 to
                                                                                                                            perature to no more than 1600°F (870°C). However, more
                   500°F/180 to 260°C). The flow through the rest of the system                                             expensive U-tube type heat exchangers exist that can tolerate
                   could be twice the mass of the flue gas from the T.O. If water                                           higher temperatures.
                   is used to quench, a much smaller mass is required, resulting                                               Recuperative exchangers can also be of plate-and-frame
                   in a much smaller mass flow through the rest of the system.                                              type construction. This type can withstand higher temperature
                   However, using recycled flue gas for the quenching medium                                                expansion differences because of its non-welded construction.
                   results in much greater heat recovery efficiency than if water                                           However, some leakage of waste gas into the clean combus-
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   quench is used because the added water leaves the system with                                            tion products will occur, increasing the unburned waste
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                                                                                                                                                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              650 The John Zink Combustion Handbook
                   hydrocarbon emission to the point that the apparent DRE is               ings make these systems attractive for large waste flows that
                   not as required. Also, although the initial leakage may be low           have little heating value.
                   enough when the exchanger is first put into service, it will
                                                                                               In operation, the waste gas flows into the system through
                   likely increase with time, particularly in systems that operate
                                                                                            a hot bed of packing (Chamber 1) before it enters the T.O.
                   intermittently (shut down daily or weekly). To avoid leakage
                                                                                            The incoming waste gas temperature is monitored at the hot
                   problems, the more expensive shell-and-tube type heat
                                                                                            end (nearest the T.O.) of Chamber 1. The flue gas exiting the
                   exchangers with all-welded construction should be used when
                                                                                            T.O. flows through an identical but cooler bed of packing
                   high DRE is required.
                                                                                            (Chamber 2) before it is vented to the atmosphere. When the
                   21.3.5.1.3 Regenerative Preheat Exchanger                                packing in Chamber 2 has absorbed heat to the point that the
                   A T.O. system with regenerative preheat exchange consists of             exit gas temperature rises above a preset maximum, typically
                   a refractory-lined T.O. connected to three or more vessels               300 to 350°F (150 to 180°C), the hot gas is redirected to the
                   containing a ceramic packing (often ceramic scrubber bed                 third bed of packing (Chamber 3), which was out of service
                   packing) that alternately functions to preheat the waste and to          and is cool. At the same time, the incoming waste gas is
                   cool the flue gas exiting the T.O. section. Figure 21.8 shows            switched from Chamber 1 to Chamber 2, which is now the
                   the configuration of such a system. This system is primarily             hot bed, to pick up stored heat before flowing into the T.O.
                   for contaminated air stream. The temperature of the gases is             Chamber 1, which is now temporarily out of service, was in
                   measured at the inlet and outlet of each ceramic-packed ves-             preheat service when the flows were switched. Consequently,
                   sel. Numerous valves must be used to control the direction of            Chamber 1 is filled with untreated waste gas. The waste gas
                   flow at all times during operation. The system is somewhat               in Chamber 1 is purged into the T.O. with “cool” recycle flue
                   larger and more expensive than a recuperative system, but it             gas while it is out of heat exchange service. If the most
                   is much more efficient. Up to 95% heat recovery is possible if           recently used incoming bed was not purged, or if only two
                   the incoming hydrocarbon content is very low. However, the               beds were used, a bed full of waste gas would be vented at
                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   normal rates are in the 85–90% range. The potential fuel sav-            each flow reversal. The result would be similar to the plate
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              exchanger problem above in that the apparent DRE would                                         out of the stack into a duct connected to the hot oil heat
              not be high enough to meet the emission regulations. Thus,                                     exchanger. An induced-draft blower is located downstream of
              at least three beds are required to allow the cool inlet bed to                                the hot oil heater to “pull” the flue gas from the stack and
              be purged before it becomes an outlet bed. In practice, some                                   through the exchanger. The cool flue gas exiting the exchanger
              large systems are constructed of five or more beds to over-                                    is then pushed through a cool duct and injected into the hot
              come shipping restrictions and to allow prefabrication.                                        stack at least two stack diameters about the base-connection
                                                                                                             centerlines. A hot oil temperature controller monitors the fluid
              21.3.5.1.4 Organic Heat-Transfer Fluid Heat Exchangers                                         temperature and modulates the flue gas flow to maintain the
              Many plants use organic heat-transfer fluids (hot oil) to pro-                                 desired temperature.
              vide a controlled heat source for plant processes. If the T.O.                                    To cool the incoming hot flue gas temperature, a flue gas
              system can be operated with or without waste so that a contin-                                 temperature controller monitors the hot oil heater inlet
              uous heat source is available, the flue gas can be used to heat                                temperature and operates a valve that regulates the amount
              this fluid in a shell-and-tube design exchanger. However, there                                of ambient air drawn into the stack-to-oil heater duct.
              may be periods when the system is generating more flue gas                                        This particular configuration can be used for any similar
              than is needed because the heat demand of the hot oil is                                       heat transfer device when more flue gas is available than the
              reduced. Also, during normal operation, the temperature of                                     exchanger can process.
              the flue gas entering the exchanger may be limited to some
              maximum because of the properties of the fluid. For such                                       21.3.5.2 Cooling Without Heat Recovery
              cases, the system may have to be designed to bypass some or                                    Flue gas cooling by means other than heat removal is often
              all of the hot flue gas directly to the atmosphere and to cool                                 necessary. When the flue gas has to be processed to remove
              the flue gas by mixing in some ambient air to avoid coking the                                 emissions, it must be cooled to a temperature that will not
              organic fluid. Figure 21.9 shows the necessary configuration.                                  harm the downstream equipment nor reduce the efficiency of
                 Briefly, the waste is fired into a horizontal T.O. that is                                  the downstream equipment. If particulate is to be removed
              connected directly into the base of a hot vent stack. Another                                  by a dry process such as an electrostatic precipitator, the flue
              connection at the base of the stack allows flue gas to be drawn                                gas must usually be cooled (conditioned) to below 650°F
                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   (340°C). If it is to pass through a baghouse, it will have to be          flue gas is used to provide the cooling instead of water. As
                   conditioned to 400°F (200°C) or less. For wet particulate                 noted in an earlier heat recovery section, although the flue
                   removal or wet acid gas removal, the flue gas will likely                 gas flow when using air or cooled recycled flue gas will be
                   have to be cooled (quenched) to its saturation temperature                greater than with water, and the downstream equipment size
                   for treatment.                                                            will be larger, increasing equipment cost, the value of the
                                                                                             additional heat recovered will likely exceed the additional
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   21.3.5.2.1 Conditioning Section                                           cost of larger equipment in only a few years. Also, because
                   The flue gas exiting a T.O. is at such a high temperature that            of the higher flue gas temperature, the entire conditioning
                   often it must be cooled before entering downstream equip-                 section would be refractory lined.
                   ment to prevent damage to that equipment. In some cases,
                   flue gas may contain molten droplets of material that must be                If the flue gas is being quenched to low temperature (400 to
                   cooled below their melting point (frozen) so they will not                600°F, or 200 to 320°C), the vessel is usually made of carbon
                   adhere to downstream boiler tubes or other cooler surfaces.               steel with internal refractory lining for part of its length at
                   In other words, the “condition” of the flue gas must some-                the hot inlet end, and external insulation but no refractory for
                   times be altered before it can be further treated. Removing               the rest of its length. External insulation is used at the cooler
                   heat with heat recovery devices (indirect conditioning) has               end to prevent condensation in the cool unlined portion.
                   already been discussed. As noted, removing heat reduces the                  The hot flue gas is usually passed through a reduced
                   temperature but does not change the mass flow rate or com-                diameter, refractory-lined section to increase the velocity
                   position. This section reviews direct conditioning heat trans-            just before the atomized water is injected. This is done to
                   fer methods that reduce the temperature and also change the               improve mixing and heat transfer, which increases the evap-
                   mass flow rate as a result of adding a cooling material to the            oration rate of the atomized water droplets traveling through
                   flue gas to which heat is transferred.                                    the conditioning section. The conditioning section outlet
                      The cooling medium that adds the least mass to the flue                temperature is continuously monitored and the water flow
                   gas is water. Each pound of water sprayed into the flue gas               adjusted to maintain the desired temperature. Although the
                   absorbs almost 1000 Btu as it vaporizes (heat of vaporization),           temperature of the conditioned flue gas may be well above
                   as well as sensible heat. For example, assuming no other heat             the saturation temperature, if the flue gas has to be cooled
                   losses occur, cooling 10,000 lb/hr (4500 kg/hr) of flue gas               to less than 400°F (200°C), so much cooling water may
                   from 1800 to 600°F (980 to 320°C) requires about 2655 lb/hr               cause the particulate to become damp and stick to the outlet
                   (1200 kg/hr) of water at 70°F (21°C). Cooling the same                    duct between the conditioning section and the dry particulate
                   amount of flue gas with 70°F (21°C) air requires about                    removal device. Also, the chances of condensation on the
                   26,190 lb/hr (11,900 kg/hr) of air — almost 10 times the                  walls of the outlet duct and dry particulate removal device
                   cooling mass. If the flue gas was only cooled to 1200°F                   increase as the water content of the flue gas increases. To
                   (650°C), the water required is about 1110 lb/hr (500 kg/hr)               reduce the possibility of such problems, the flue gas is
                   and the air needed is about 6150 lb/hr (2800 kg/hr) — only                sometimes cooled the last 100 to 150°F (38 to 66°C) by the
                   about 5.5 times more mass. Minimizing the flue gas flow to                addition of ambient air.
                   downstream equipment is normally desired so the smallest
                                                                                                Figure 21.10 is a general representation of a vertical, down-
                   size, lowest cost equipment can be used.
                                                                                             flow conditioning section that can use water, air, etc. as the
                      Because 100% of the water injected should vaporize, the
                                                                                             cooling medium.
                   conditioning section can be oriented in any direction. How-
                   ever, the vertical up or down flow configuration is usually
                   utilized. This configuration also allows features to be used              21.3.5.2.2 Saturation Quench Section
                   (e.g., a hopper at the base of the unit, regardless of flow               If hot flue gas is to be treated by a wet particulate or acid gas
                   direction) to collect and remove water online if any of the               removal device, it is usually best to complete the heat transfer
                   removable spray tips fail to properly atomize the water. The              portion by quenching to full saturation before the subsequent
                   hopper will also provide storage volume for particulate that              mass transfer process is initiated. Although this is not always
                   may not exit the conditioning section.                                    done, most mass transfer equipment is designed for fully sat-
                      If the purpose of the conditioning section is to cool flue             urated flue gas. The saturation temperature could typically be
                   gas to only 1200°F (650°C) to freeze molten particulate                   as high as 210°F (100°C) and usually is no less than about
                   before the flue gas goes into a waste heat recovery device,               135°F (57°C), depending on the composition and tempera-
                   more heat will be available for recovery if air or cool recycle           ture of the flue gas when it enters the quench section.
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                                                                          in the water is less than in the flue gas. The contactor tube
                                                                          shell can be constructed of carbon steel with a corrosion bar-
                                                                          rier, special corrosion-resistant alloys, or fiberglass-reinforced
                                                                          plastic (FRP).
                                                                             After the nearly saturated flue gas and extra water exit the
                                                                          contactor tube, they pass through the downcomer, which
              FIGURE 21.11 Direct spray contact quench.                   extends to the water level in the quench tank. The downcomer
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                   Thermal Oxidizers                                                                                                                                655
                   is smaller in diameter than the contactor tube, thus increasing          removes the smaller pieces that might plug the atomizing spray
                   the velocity and mixing energy of the flue gas and atomized              tips. A continuous blowdown from the hydroclone carries out
                   recycle water to complete the cooling and saturation of the              the collected solids, but the strainer must be manually cleaned
                   flue gas. The flue gas makes a 180° direction change at the              periodically. Blowdown from the base of the conical section
                   downcomer outlet as it turns to travel upward in the annular             can be automatic or manual.
                   space between the downcomer and the quench tank wall to                     The advantages of the direct spray contact quench are:
                   the quench tank outlet. The higher velocity through the down-
                   comer and subsequent 180° direction change, along with the                     1. faster, more efficient cooling of the flue gas as a result of
                                                                                                     the large heat transfer surface area of the atomized water
                   low velocity in the annulus, allow water droplets to be sepa-
                                                                                                  2. very low pressure drop across the entire section, usually
                   rated from the saturated flue gas. The downcomer should be
                                                                                                     less than 2 in. (5 cm) w.c.
                   constructed of a corrosion-resistant metal such as stainless
                                                                                                  3. efficient water droplet separation from the flue gas
                   steel or other more exotic alloys as required for the service.
                                                                                                  4. large, open flow area unlikely to be affected by any
                   The quench tank can be made of carbon steel with a corrosion
                                                                                                     obstruction
                   barrier, special corrosion-resistant alloys, or FRP.
                      Although the primary purpose of the quench tank is as the                Disadvantages include loss of cooling flow as a result of
                   collection sump for recycling water, it also captures some of            pump failure and potential plugging of the spray tips. How-
                   the particulate coming from the T.O. Thus, the configuration             ever, a hydroclone separator is used, plugging is minimized.
                   of the quench tank must allow for continuous, if necessary,              Also, utilizing two recycle pumps with auto-start on the spare
                   removal of solids and continuous withdrawal of recycle water.            when flow drops below a minimum greatly reduces the poten-
                   To accomplish this, the base of the quench tank should be                tial loss of flow.
                   conical, with a solids blowdown nozzle at the base and the
                   suction point for the recycle pump(s) in the conical section.            21.3.5.2.2.2 Submerged quench This configuration, Figure
                   Furthermore, the recycle line should be equipped with a dual-            21.12, is mechanically similar to the direct-spray design, but
                   basket strainer upstream of the pump(s) and a cyclone sepa-              instead of atomizing water to provide a large contact surface
                   rator (hydroclone) downstream of the strainer. The strainer              area between the water and hot flue gas, this method divides
                   openings are sized to remove only large pieces from the recy-            the hot gas flow and “bubbles” it through the water. To accom-
                   cle water that might damage the pumps, while the hydroclone              plish this, the hot flue gas enters the quench section, traveling
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                      A converging duct, wetted by the weir overflow, provides an              needed, adding to the system pressure drop. Another potential
                   entrance for the flue gas to the throat section. A tapered, ver-            disadvantage is that pieces of refractory material falling from
                   tically adjustable plug varies the throat area, changing the gas            the refractory-lined duct or T.O. above the venturi could block
                   velocity and pressure drop across the section. A large volume               the annular space in the venturi section. This is not as likely if
                   of recycle water is added to the center of the throat through a             the adjustable plug is operated in the automatic mode to main-
                   pipe that directs the water onto the center of the adjustable               tain a preset pressure drop. In the case of material falling from
                   plug. The water and flue gas pass through the annular space,                above, blocked flow area would cause an increase in pressure
                   between the plug and the throat wall. The high velocity (up to              drop above the setpoint, resulting in the plug being moved
                   500 ft/s, or 150 m/s) at the throat provides the energy needed              upward to open the annular space, allowing most pieces to flush
                   to atomize and mix the water with the flue gas, cooling the flue            through the throat. Another potential disadvantage is that very
                   gas to saturation. Downstream of the throat, a 90° elbow directs            large pieces will not pass through the plug /throat annulus as
                   the quenched flue gas and water to a separator/quench tank.                 they would with the direct spray or submerged quench designs.
                   A shaft extends from the plug, through the bottom of the elbow,
                   and is attached to an actuator, which is used to automatically              21.3.5.3 Particulate/Acid Gas Removal
                   adjust the position of the plug to maintain a set pressure drop             Equipment used to remove pollutants from T.O. system flue
                   regardless of flow variation. The entire venturi assembly can               gas streams are known as air pollution control (APC) devices.
                   be fabricated using stainless steel, acid-resistant metals, or, in          The most common pollutants that result from burning liquid
                   some cases, a combination of FRP and metals.                                and gaseous wastes, which require removal, are particulate
                      The separator/quench tank usually has a tangential inlet to              matter and acid gases such as SOx and HCl. The most com-
                   help separate the droplets and water more effectively from                  monly used equipment for the removal of these pollutants are
                   the saturated flue gas. Recycle water and solids removed from               dry removal devices such as baghouses and electrostatic pre-
                   the flue gas collect in the separator/quench tank, so vessel                cipitators, and wet removal devices such as venturi scrubbers
                   configuration and recycle pumping configuration should also                 and packed columns. This section provides a brief summary
                   be very similar to that of the two previously described quench              of the design considerations associated with these devices.
                   processes. The separator/quench tank can be built of the same               More detailed information can be found in References 1–3.
                   materials noted above.
                      Because particulate in the flue gas is more effectively                  21.3.5.3.1 Particulate Removal: Dry
                   wetted (resulting in more being captured) in this quench sec-               The most common methods of dry particulate removal are
                   tion than the two previously described, this method of quench               filtration and electrostatic attraction collection. Reasonable,
                   is sometimes used when particle removal is required or                      cost-effective efficiencies are achieved even when sub-
                   desired, especially if the particulate is relatively large and              micron particles must be removed. High pressure drop
                   easy to remove. Greater acid gas absorption is also more likely             cyclonic separation is also available but is rarely used with
                   with this method of quench because of the extra mixing                      combustion systems.
                   energy at the throat.                                                           Dry particulate recovery is often preferred if the material
                      The total pressure drop across this section could vary                   recovered is to be re-utilized. If a wet process is used to
                   between 20 and 70 in. (51 and 180 cm) w.c., depending on                    recover catalyst particles, the particles have to be separated
                   whether the device is used primarily for quench or if partic-               from the water and dried before any purification or refining
                   ulate removal is needed. Advantages of the adjustable-plug                  process can begin. Dry removal minimizes the volume and
                   venturi quench are:                                                         weight of material that must be handled after recovery. Much
                                                                                               less water is used in the dry removal process making dry
                         1. Quenching and scrubbing in one section reduces plot
                                                                                               removal more attractive in locations where water is scarce or
                            space.
                                                                                               expensive. For the same removal efficiency, dry removal
                         2. No spray tips are required.
                                                                                               requires much less pressure drop than wet removal of the
                      Disadvantages include (1) higher pressure drop than other                same removal efficiency.
                   quenching methods, (2) loss of cooling water flow as a result
                   of pump failure, (3) more complexity of design, including the               21.3.5.3.1.1 Filtering device (baghouse) A common method
                   moving plug and shaft, with a shaft seal that must be main-                 of dry particle recovery is by collection on the surface of fabric
                   tained, and (4) the solids removal efficiency of the combination            bags (baghouses). The principal design parameters for a bag-
                   quench/venturi may not be sufficient to meet the particulate                house, assuming a particle size distribution for the particulate
                   emission limit and a second particulate removal device may be               is known, are fabric type, air-to-cloth ratio, and cleaning
                                                                                                              --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              method used. Gas to be cleaned enters the baghouse, flows              of bags is set by the desired gas:cloth ratio, which usually
              through the bags from the outside (depositing the particles            falls between 2 and 5 ACFM/ft2.
              on the outside surfaces of the bags), flows inside the bags up
                                                                                        The choice of a cleaning method (pulse-jet, shaker, or flow
              to the clean gas plenum, and out to a stack or to another
                                                                                     reversal) can be determined by the fabric strength and dura-
              treatment device. Many bag fabrics are available. The fabric
                                                                                     bility, but is often a compromise between capital and operat-
              weave is tight enough that some of the particles are initially
                                                                                     ing expenses. The pulse-jet technology has relatively high
              captured in or on the surface. Once a base coat of particulate
                                                                                     energy requirements but can usually operate at higher filtra-
              (filter cake) has been collected, an even finer filter medium
                                                                                     tion rates, thus requiring a smaller filter area. Conversely, the
              than the original fabric now exists, allowing high efficiency
                                                                                     shaker and flow reversal technologies typically have lower
              capture of even small particles (up to 99.5% for 0.1-micron
                                                                                     energy requirements and lower filtration rates, leading to
              particles and up to 99.99% for 1- to 10-micron particles) with
                                                                                     larger filter areas. Pulse-jet is the cleaning method normally
              a relatively low pressure drop of about 6 in. (15 cm) w.c. As
                                                                                     used for T.O. systems. To minimize air usage, bags are not
              the particulate accumulates, the pressure drop increases and
                                                                                     all cleaned simultaneously. Also, care must be taken to avoid
              eventually the bags must be cleaned. The commonly used
                                                                                     excessive cleaning, which removes the filter cake, reducing
              cleaning methods are pulse-jet, shaker, or flow reversal. The
                                                                                     collection effectiveness until it builds up again.
              dislodged dust falls to the bottom of the baghouse and is
              removed during operation through special valves.                         Baghouses are sometimes compartmentalized so that
                 None of the baghouse design parameters is independent,              valves can isolate the compartment or section of the baghouse
              and all are based on testing and previous experience. Fabrics          being cleaned. While this action requires increasing the num-
              may be woven or felted and can be made from a variety of               ber of bags by 50% and adding inlet and outlet manifolding
              materials. Fabrics differ in their particle capture efficiencies,      and valves, it does reduce the amount of material being drawn
              corrosion resistance, erosion resistance, temperature range,           back to the filter immediately after cleaning and increases the
              pressure drop, strength, durability, and the ease with which           period of time needed between cleaning each section.
              they can be cleaned. The fabric is chosen based on exhaust                In general, baghouses are used only in applications where
              gas conditions, type and size distribution of the particles to         the gas is dry and the temperature is below 450°F (230°C).
              be filtered, particle loading, and cleaning method.                    A typical T.O. system application would utilize a pulse-jet
                 A typical bag used in a T.O. system would be a 6-in. (15-cm)        baghouse operated at 400°F (200°C), with a Nomex fabric
              diameter by 10-ft (3-m) long cylinder closed at the bottom,            designed for an air-to-cloth ratio of between 2 and
                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              supported by an internal wire cage and suspended from a tube           5 ACFM/ft2 and a pressure drop of 5 to 10 in. (13 to 25 cm)
              sheet forming the top of the dirty gas chamber. The number             w.c. Figure 21.14 is a general representation of a baghouse.
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                      Baghouses are usually used in non-acid gas service and are                  The force that moves the particles to the collection plates
                   therefore usually constructed of carbon steel. For non-halogen              results from the charge on the particles and the strength of
                   acid gas service, stainless steel has also been used. Any mate-             the electrical field between the emitters and collectors. For
                   rial can be used as long as it can withstand occasional short-              smaller particles, the electrical field strength must be greater
                   term temperature excursions to more than twice the design                   to remove the same percentage of smaller particles as bigger
                   flue gas temperature. Bag filter material can be polyester,                 particles. The force can be up to several thousand times the
                   polyaramid, cellulose, fiberglass, Nomex, Gortex, or any                    acceleration of gravity so that the particles move rapidly to
                   other proven fiber that meets the operational criteria.                     the collection surfaces. Because most of the particles retain
                      The advantages of using a baghouse are:                                  a portion of their negative charge even after contacting the
                                                                                               collecting plate, some remain on the plates until a physical
                          1. The particle removal efficiency is high.
                          2. The pressure drop to collect the material is low.                 action dislodges them.
                          3. The material is collected “dry” and does not have to be              The weight of the particulate on the plates causes some of
                             separated from water.                                             the particulate to fall into the collection hoppers, but the
                          4. Although it contains some moisture, the recovered mate-           remainder must be dislodged by vibration (or rapping) of the
                             rial is basically at its final volume and weight.                 plates and emitters. Once collected in the hoppers at the
                                                                                               bottom of the chamber, the particulate is removed by the same
                        The disadvantages are:
                                                                                               means as particulate is removed from baghouses.
                          1. The baghouse is relatively expensive and occupies a lot              Design considerations include:
                             of plot space.
                          2. Field construction may be required for large flue gas                   1. electrical characteristics of the particulate (i.e., how well
                             flows.                                                                     it will accept and hold a charge [the particles must have
                          3. The large baghouse surface area requires extensive insu-                   a resistivity in the range of 104 to 1010 ohm-cm for efficient
                             lation to minimize acid gas or moisture condensation.                      removal by electrostatic means])
                          4. The maximum treatable flue gas temperature is about                     2. gas and particle velocity (very important with sub-micron
                             450°F (230°C).                                                             particulate), including gas velocity in the unit, drift veloc-
                                                                                                        ity of the particulate induced by the electric field, and
                   21.3.5.3.1.2 Electrostatic precipitator An electrostatic                             particle settling velocity
                   precipitator (ESP) is a device that removes particles from a                      3. gas distribution
                   gas stream by means of electrostatic attraction. A high voltage                   4. electrical sectionalization (i.e., the increase in power input
                   potential, usually applied to weighted vertical hanging wires                        in sequential zones or cells through the length of the ESP
                                                                                                        to achieve the desired removal efficiency)
                   (emitters), causes the particles to be charged. Once charged,
                                                                                                     5. particle re-entrainment
                   the particles are exposed to grounded collecting electrodes
                   (plates) to which the particles are attracted, separating                      The flue gas must also contain readily ionizable species
                   (precipitating) them from the flue gas. The particles must then             such as O2, CO2, and SO2. Particle resistivity can be a strong
                   be separated from the collecting plate, while minimizing re-                function of the flue gas temperature, composition, and mois-
                   entrainment, and removed from the ESP collection hopper.                    ture content. Thus, ESP performance can be quite sensitive
                      An ESP is a large, often rectangular-shaped, chamber con-                to changes in upstream process conditions.
                   taining numerous flat parallel collecting plates with emitter                  As with the baghouse, most of the design parameters have
                   wires located midway between the plates (see Figure 21.15).                 been developed empirically and then fit to equations to help
                   The flue gas entering the ESP must be uniformly distributed                 the engineer develop the physical equipment design. The result
                   across the chamber for effective treatment. As the flue gas                 is a chamber containing the correct number and size (length and
                   passes between the plates, the high voltage potential (40 to                width) of collector plates spaced appropriately to allow locating
                   50 kV) carried by the emitter wires creates a corona discharge,             emitters between the plates. The capital cost of the ESP is
                   making a large number of both positive and negative gas ions.               directly related to that physical information. Both sides of each
                   The positive ions are attracted to the negatively charged emitter           collector plate functions as collecting surface area (CSA),
                   wires, leaving the space between the plates rich in negative                which is also referred to as specific collector area (SCA) or
                   ions. Particles passing through the negative ion-rich space                 specific collector surface (SCS). This area is often expressed
                   quickly acquire a negative charge. Smaller particles are, how-              in terms of surface area per 1000 ACFM of flue gas through
                   ever, more difficult to charge. (Note: Negative discharge elec-             the ESP. Depending on the particle-size distribution and other
                   trodes are normally used for industrial ESPs because of the                 particle-related parameters, removal efficiencies of more than
                   higher potentials available and more predictable performance.)
                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                               99% can be achieved at less than 300 ft2/1000 ACFM of
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                                                                                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 21.15 Dry electrostatic precipitator.
              collector area, but can be upward of 900 ft2/1000 ACFM for                 3. field construction may be required for units with large
              very high particulate loading.                                                flows
                 Because the temperature of the flue gas entering the ESP                4. the large surface area encourages heat loss, leading to
              is normally greater than 650°F (340°C), corrosion is not usu-                 potential acid gas dew-point problems with certain wastes
              ally a problem if the exterior is well-insulated and sealed from           5. multiple stages may have to be used to achieve the high
              rainwater intrusion. Therefore, materials of construction                     removal efficiency.
              would be carbon steel or stainless steel for the emitters, and
              carbon steel for the plates and casing.                               21.3.5.3.2 Particulate Removal: Wet
                 Advantages of using an ESP include:                                The most common methods of wet particulate removal uti-
                                                                                    lized in T.O. systems are venturi-type devices and wet elec-
                    1.    the desire for dry particle collection                    trostatic precipitators (WESPs) for very small particles.
                    2.    relatively low energy usage                               Reasonable removal can be achieved with the simple ven-
                    3.    very low pressure drop                                    turi-type device if particles are larger than 1 micron. For
                    4.    small particle removal                                    smaller particles, multi-stage venturi-type devices with sub-
                                                                                    cooling can be effective at high pressure drop. To treat a flue
                   Disadvantages include:
                                                                                    gas containing a high percentage of very small particles, a
                    1. relatively high capital cost                                 WESP is the better choice. The pressure drop is also much
                    2. relatively large space requirement                           less than with a venturi-type device.
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                   21.3.5.3.2.1 Venturi-type scrubber The common feature of                                                 and the droplet diameter. A greater relative velocity difference
                   all venturi-type devices is a constricted passage or “throat”                                            improves impaction effectiveness. Similarly, a smaller water
                   that increases gas velocity to achieve a desired pressure drop.                                          droplet also improves impaction effectiveness.
                   Flue gas pressure drops range from 20 to 100 in. (51 to                                                     The relative velocity difference between the particles and
                   250 cm) w.c. depending on various factors. If the flow rate                                              the liquid droplets increases with higher flue gas pressure
                   varies significantly, the cross-sectional area of the throat must                                        drop (i.e., increased energy consumption), which increases
                   be adjusted to maintain the necessary velocity (pressure drop).                                          the velocity of the flue gas and the particles suspended in it.
                   Some configurations use a fixed throat but increase or decrease                                          Smaller scrubbing water droplets can be produced by mechan-
                   recycle flue gas flow to maintain the constant flow rate neces-                                          ically atomizing the water or by using an atomizing medium.
                   sary to sustain the design pressure drop. Liquid is injected                                             The shearing effect of the high-velocity flue gas also atomizes
                   either in the throat or just upstream of the throat. Typical liquid                                      the water more finely.
                   injection rates are in the range of 10 gal/1000 ft3 of gas.                                                 If the flue gas is not fully saturated with water vapor,
                   Because of the high scrubbing water flow rate, venturi scrub-                                            scrubbing fluid will be vaporized until saturation is achieved
                   bers require a liquid recirculation system. The recirculation                                            and removal performance will be poorer. Vaporization of the
                   system will include equipment to control the blowdown rate                                               scrubbing fluid causes problems such as reducing the amount
                   to maintain the total (suspended and dissolved) solids content                                           of scrubbing fluid available for particle removal, forming new
                   of the recycle water at about 5% by weight. Additional equip-                                            particles from previously captured particulate matter as the
                   ment can also be utilized to cool the recirculated water and                                             droplet evaporates, and reducing the diffusive capture because
                   control pH.                                                                                              of a net flow of gas away from the evaporating particle.
                      Typical particle removal efficiencies (when operated at sat-                                             The vertical, downflow adjustable plug venturi described
                   uration with a relatively high pressure drop) are > 90% for                                              previously utilizes mostly pressure drop to shear/atomize the
                   particles with aerodynamic diameters of ≥ 1 micron and ±50%                                              water and to provide the relative velocity difference. Other
                   for particles with aerodynamic diameters of 0.5 to 1.0 micron.                                           types use a combination of pressure drop and water atomiza-
                   Overall particle collection efficiency obviously depends on the                                          tion to achieve the velocity difference and smaller droplet
                   particle size distribution and will range from 80% to above                                              size. Figure 21.16 shows a horizontal venturi scrubber with
                   99%. For a properly designed, sub-cooled system with efficient                                           atomized water injection upstream of the throat.
                   droplet separation, the overall particle collection efficiency                                              Although particles larger than 1 micron are more easily
                   should be ≥ 99%.                                                                                         removed, smaller, sub-micron size, particles are much more
                      The basic principle of operation for the venturi-type par-                                            difficult to capture. The capture effectiveness can be enhanced
                   ticulate-scrubbing device is to provide small water droplets                                             by (1) sub-cooling saturated flue gas to below the saturation
                   that will capture (wet and surround with water by inertial                                               temperature, and (2) using colder water for scrubbing. The
                   impaction) the particulate matter suspended in saturated flue                                            purpose is to take advantage of thermophoresis and diffusio-
                   gas. Given time, the small water-encapsulated particle drop-                                             phoresis effects to produce a directional preference in the
                   lets will then agglomerate (i.e., droplets contact other droplets                                        Brownian motion toward the target droplet by these sub-
                   and combine to form larger droplets). The larger droplets can                                            micron particles.
                   be separated from the flue gas downstream of the venturi by                                                 Basically, thermophoresis is the migration of a particle
                   a cyclonic separator, a mist eliminator, a settling chamber, or                                          away from a higher temperature zone and toward a lower
                   by a combination of two or all three separation methods.                                                 temperature zone.
                   Assuming the flue gas is fully quenched to saturation, the                                                  Diffusiophoresis is a more complicated phenomenon that
                   overall removal efficiency depends how effectively the parti-                                            occurs when a mixture of particles of varying weight exist in
                   cles are wetted, how much droplet agglomeration time is                                                  a gas stream and a concentration gradient within the gas
                   provided, and how effectively the larger droplets are separated                                          stream occurs for the heavier particles. Diffusion of the
                   from the flue gas. As with other types of particulate removal                                            heavier particles from the higher concentration zone to the
                   devices, many of the design parameters have been developed                                               lower concentration zone occurs in accordance with Ficke’s
                   from empirical data.                                                                                     law. The net motion of the lighter particles is also altered
                      Inertial impaction of the particle into the droplet is the                                            toward the low concentration zone due to the momentum
                   dominant mechanism for removal of larger particles with an                                               imparted during collisions with the heavier particles traveling
                   aerodynamic diameter greater than 1 micron. Primarily, two                                               in that direction. By injecting colder water and sub-cooling
                   things determine the effectiveness of capture: the relative                                              the flue gas below saturation temperature, a temperature gra-
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   velocity difference between the particle and the water droplet,                                          dient and water vapor concentration gradient are created,
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                                                                                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 21.17 Wet electrostatic precipitator.
              resulting in a net increase in particle motion toward the target      previously described dry ESP. It removes particles from a
              water droplets.1,2                                                    flue gas stream by means of electrostatic attraction. As
                 Advantages of the venturi scrubber include:                        before, particles must first be charged, and, as in the dry ESP,
                                                                                    vertically oriented emitter wires are used to generate the
                    1.    reasonably good particulate removal performance
                                                                                    corona. Once charged, the particles are drawn to the oppo-
                    2.    relatively simple design
                    3.    usually lower capital cost                                sitely charged, grounded collecting electrodes, which for the
                    4.    relatively low plot space requirement                     WESP are tubes through which the emitter wires hang. The
                                                                                    particulate collects on the inside surface of the tubes. The
                 Disadvantages are (1) high energy consumption (i.e., high          particles are then removed from the collection surface while
              flue gas pressure drop), (2) high removal efficiency for small        minimizing re-entrainment. The primary process difference
              particles requires additional cost of sub-cooling, (3) continu-       is that the flue gas must be saturated when it enters the
              ous blowdown to maintain a low total solids content would             emitter/collector section.
              be difficult if water was scarce, and (4) the removed solids
              are in a large volume of water which has to be treated.                  Flue gas coming into the WESP first enters a chamber
                                                                                    under the vertically oriented collector tube section (see Figure
              21.3.5.3.2.2 Wet electrostatic precipitator A wet electro-            21.17). The saturated flue gas is uniformly distributed before
              static precipitator (WESP) functions very similar to the              reaching the tubes. The collector tube section is similar in
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                         1. high removal efficiency for sub-micron particles                                  For these reasons, no detailed description of dry systems will
                         2. low gas-side pressure drop, usually less that 6 in. (15 cm)                       be covered.
                            w.c. (normally about 4 in. or 10 cm w.c.) if the distribution
                            section is designed to absorb acid gases as well as dis-                          21.3.5.3.4 Acid Gas Removal: Wet
                            tribute flow
                                                                                                              The most common methods of wet acid gas removal used in
                         3. can absorb acid gases                                                             T.O. systems are packed columns and the previously
                         4. “cool” service                                                                    described venturi-type devices. Packed columns contain
                         5. less problems with re-entrainment because the wet parti-                          packing material that distributes the water over a large sur-
                            cles stick to the tube wall
                                                                                                              face area for contact with the flue gas. The venturi-type
                      Disadvantages include (1) greater capital cost than most                                devices utilize many small water droplets to provide the large
                   other wet removal devices, (2) larger plot space required,                                 amount of liquid surface area for contact by flue gas. Each
                   (3) more complicated operation than with other equipment,                                  has its advantages and disadvantages.
                   (4) multiple stages may have to be used to achieve extremely
                   low particulate emission levels if the particulate loading is                              21.3.5.3.4.1 Packed column A packed column is the
                   high, and (5) more maintenance may be required due to                                      device of choice most often used to recover or remove acid
                   corrosion and complexity.                                                                  gases from a flue gas stream. The device consists of a vertical,
                                                                                                              usually cylindrical, vessel containing a section filled with
                   21.3.5.3.3 Acid Gas Removal: Dry                                                           packing material supported by internal hardware. Recirculated
                   Acid gases can be removed from flue gas by reaction with or                                water is pumped to the top of the packed section and flows
                   adsorption by dry alkaline materials such as limestone/lime.                               downward through the packing and collects in the base of the
                   For most waste incineration systems utilized by waste by-                                  vessel. Flue gas, quenched to its saturation temperature, enters
                   product generators, dry removal is not cost-effective and                                  the vessel under the packed section and flows upward through
                   does not achieve the removal efficiency needed for the                                     the packing and out to the atmosphere or to another treatment
                   amount of combustion products generated. Dry removal is                                    section. Figure 21.18 shows a simple packed column.
                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                 The purpose of the packed column is to transfer compounds             Packed columns using water to recover acid are commonly
              from the flue gas to an absorbing liquid. For combustion sys-         referred to as “absorbers,” and those operated with a caustic
              tems, the compounds are acid gases such as HCl or SO2. The            solution to remove acid are commonly referred to as “scrubbers.”
              absorbing liquid is typically water or a weak caustic solution.          Absorbers yield an acid solution and are typically used in
              As the liquid flows downward through the randomly placed              applications in which the acid solution can be used in a
              packing, it is distributed over the large amount of packing           process or when the waste water treatment plant can make
              surface. The counter-current flow of flue gas traveling in the        use of the acid solution to neutralize a caustic waste. Packed
              open spaces between packing comes into contact with a large           bed absorbers can be designed to produce acid purge streams
              amount of liquid for a relatively long period of time. As the         of up to 22% HCl by weight (the azeotropic maximum con-
              flue gas flows through the absorbing liquid, soluble gases are        centration), assuming the HCl vapor concentration in the flue
              dissolved into it. Just as in wet particulate removal cases, the      gas leaving the absorber is sufficiently high. The concentra-
              flue gas must be saturated prior to coming into contact with          tion of HCl in the flue gas determines the maximum strength
              the absorbing liquid to eliminate evaporation during contact.         of the acid blowdown stream. A typical 10-ft (3-m) deep
                                                                                    absorber section could remove about 99% of the HCl present
                 The rate of acid gas absorption at any point within the            in the flue gas while producing a 2% HCl blowdown stream.
              packed section is limited by the mass transfer rate across the           Scrubbers not only remove acid gas from the flue gas, but
              gas-phase boundary layer. Thus, a large mass transfer coeffi-         also neutralize the dissolved acid. By adding NaOH to maintain
              cient, a high concentration of the pollutant in the flue gas, a       the pH between 6.8 and 8.0 in the absorbing liquid, the vapor
              low concentration of the dissolved pollutant in the absorbing         pressure of the acid gas in the outlet flue gas is greatly reduced,
              liquid (i.e., low pollutant vapor pressure over the absorbing         thus increasing the absorption rate. The advantages of the
              liquid), and a large amount of interfacing contact area all           scrubber over the absorber are a less corrosive blowdown
              increase the rate of absorption. Counter-current flow of flue         stream, and either a greater acid gas removal for the same
              gas to the absorbing liquid, which puts the cleanest absorbing        blowdown rate or a much lower blowdown rate for the same
              liquid in contact with the cleanest flue gas, is the primary          percentage of acid gas removal. A typical 10-ft (3-m)-deep
              reason absorption can be so effective in a packed column.             scrubber could remove 99.9% of the HCl present in the flue
              The packing type, the flue gas velocity, the type of substance        gas and produce a blowdown stream containing up to 5% by
              (i.e., acid gas) to be dissolved into the absorbing liquid, and       weight total solids, most of it being NaCl.
              the type of absorbing liquid determine the mass transfer coef-           The neutralized effluent from a scrubber also contains some
              ficient. The amount of interfacial area is determined by the          sodium hypochlorite, which results from NaOH reacting with
              type of packing in the column and by how well the packing             the free chlorine generated during the combustion process.
              is “wetted.” Operational testing has been used to develop             The sodium hypochlorite is a strong oxidant and may require
              virtually all of the packing performance parameters.                  treatment to meet effluent requirements. A reducing agent
                                                                                    such as SO2 or a solution of sodium bisulfate can be added
                 The upstream incineration process determines the concen-
                                                                                    to the recirculating stream in the scrubber to reduce the
              tration of acid gas in the flue gas entering the column, the          sodium hypochlorite:sodium chloride ratio. It is important to
              acceptable outlet gas concentrations are set by environmental         remember that CO2 in the flue gas also reacts with NaOH.
              regulations, and the liquid purge stream concentration is             The reaction rate, however, is relatively low until the pH of
              either specified by the customer or determined by design to           the recirculating water becomes greater than 8.0. Above that
              achieve adequate acid gas removal. The diameter of a packed           concentration, the CO2/NaOH reaction rate increases signif-
              column is typically designed to give a superficial gas velocity       icantly, greatly increasing the consumption of NaOH. Proper
                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              of 7 to 10 ft/s (2 to 3 m/s). This range of velocities is high        pH control of the recycle water is an economic necessity.
              enough to create enough pressure drop (about 0.3 to 0.5 in.,             In some applications, both acid production and a very high
              or 8 to 13 mm w.c. per foot of bed depth) to prevent poor             level of acid gas removal are required. This can be accom-
              flue gas flow distribution (channeling), yet low enough to            plished with a two-stage system. Figure 21.19 illustrates this
              avoid flooding. A recirculation rate of 7 to 10 gpm of liquid         application. The first stage is an absorber that removes 80 to
              per square foot of bed cross-sectional area is usually required       95% of the acid gas and produces an acid blowdown stream.
              to ensure adequate “wetting” of the packing. The remaining            The second stage is a scrubber, which achieves the desired
              variables, which are determined by the designer, are column           level of acid gas removal and, with a significant portion of
              height, packing type, and the type and temperature of absorb-         the acid gas removed in the absorber section, produces a
              ing liquid.                                                           relatively low volume blowdown stream. Such a system is
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                   advantageous when (1) there is a need to achieve very high                    Common materials of construction for a packed column
                   levels of acid gas removal, and/or (2) there is a use for the              assembly are FRP for the vessel, and ceramic, FRP, plastics
                   acidic blowdown stream or, because of the amount of acid                   (such as polypropylene, PVC, CPVC, Teflon, Kynar, etc.), or
                   gas to neutralize, it is more economical to neutralize it exter-           some combination of these for the packing, internal support
                   nally with a less expensive reagent such as lime (CaO) or                  hardware, and water circulation equipment. If the recirculat-
                   slaked lime (Ca(OH)2).                                                     ing liquid is sub-cooled to enhance recovery/removal, the heat
                                                                                              exchanger would have to be built of similar corrosion-resis-
                      In some applications, the flue gas quench can be incorpo-
                                                                                              tant materials.
                   rated in the packed column. For this condition, the lower
                                                                                                 The advantage of using a packed column include:
                   section of the vessel and the packing material must be able
                   to withstand both high temperatures and acidic conditions. A                     1. high removal efficiency capability
                   high-temperature and acid gas-resistant lining must be used                      2. low pressure drop/energy cost (< 10 in. or 25 cm w.c. drop
                                                                                                       for a 10-ft- or 3-m-deep packed section)
                   in the lower portion of the vessel, and the packing material
                                                                                                    3. no moving parts in the column itself
                   and internal support hardware must be made of ceramic or
                   graphite. Figure 21.20 represents this application.                           Disadvantages are (1) poor small particulate removal capa-
                                                                                              bility, (2) dependent on recirculation pumps, caustic feed
                      While the packed column is primarily designed for acid
                                                                                              pumps, etc. to operate, and (3) momentary loss of quench can
                   gas removal, it will also remove some particulate matter.
                                                                                              cause “meltdown.”
                   However, the basic mechanism of entrained particle removal
                   is inertial separation from the gas stream, followed by entrap-            21.3.5.3.4.2 Venturi scrubber The venturi scrubber described
                   ment in the absorbing liquid. Because the gas velocities                   earlier as a particulate removal device can also function as an
                   through the packed section are far too low for effective inertial          acid gas removal device. One of the important factors for effec-
                   separation and entrainment of particles with an aerodynamic                tive mass transfer is intimate contact between the flue gas and
                   diameter of less than 10 microns, a packed column is not an                the liquid used to absorb the acid gases; the venturi scrubber
                   effective particulate removal device.                                      can provide relatively good gas-to-liquid contact. However,
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              because of other factors such as acid gas solubility and solu-          outlet the cleanest gas is exposed to recycle water that has
              bility rates (which are affected by gas film and liquid film            the highest concentration of acid gas, which further reduces
              resistance), and the difference in concentration of the pollutant       the effectiveness of the scrubber. Despite these drawbacks, a
              in the flue gas compared to the concentration of the dissolved          properly designed venturi system, including the separation
              pollutant in the absorbing liquid (i.e., low pollutant vapor pres-      equipment, can still effectively remove much more than 90%
              sure over the absorbing liquid), the venturi scrubber, although         of the acid gas from a flue gas stream.
              good, is not the best overall choice for acid gas removal.                 Advantages of the venturi as an acid gas removal device
                HCl is a good example of a highly soluble acid gas. It                include:
              easily absorbs into the water, creating hydrochloric acid. If                1. relatively effective for highly soluble acid gases
              necessary, the HCl can then be reacted with sodium hydroxide                 2. low capital cost
              (NaOH) added to the recycle water to form NaCl.                              3. low plot space requirement
                 SO2 is an example of an acid gas that is only moderately                Disadvantages of the venturi as an acid gas removal device
              soluble in water. Therefore, it must be in contact with the             consist of (1) only moderately effective for lower solubility
              recycle water for a longer period of time for high removal              acid gases, (2) high operating cost (pressure drop), (3) short
              efficiency. Adding NaOH to the recycle water will improve               gas-to-liquid contact period, and (4) co-current flow, which
              the solubility by decreasing liquid film resistance, but a longer       minimizes the difference in concentration of the pollutant in
              period of contact is still needed to achieve high removal               the flue gas compared to the concentration of the dissolved
              efficiency. The concentration of NaOH must be as low as                 pollutant in the absorbing liquid.
              possible to avoid excessive reaction of NaOH with CO2.
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                 Because of design, the venturi utilizes a relatively short           21.3.5.4 NOx Control Methods
              gas/liquid contact time. The short period of time reduces the           NOx can be controlled during or after the combustion pro-
              amount of absorption, especially for moderately soluble acid            cess. The most effective method will be determined by the
              gases. Also, because the flue gas and the absorbing fluid have          NOx emission allowed and by the capital and operational
              to travel in the same direction (co-current flow), at the venturi       costs of various methods.
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                      Two primary mechanisms for the formation of NOx in com-                      If the waste streams do not contain large quantities of
                   bustion systems exist. They are (1) high-temperature dissocia-                noncombustible materials such as air, water, or other inerts,
                   tion of molecular nitrogen (N2) and molecular oxygen (O2) and                 a modified combustion process, utilizing sub-stoichiometric
                   subsequent reaction of the independent radicals to NOx (ther-                 oxidizing conditions, can be used very effectively. Although
                   mal NOx), and (2) any oxidation reaction of bound nitrogen                    many different post-combustion treatment methods are avail-
                   in organic compounds (i.e., acrylonitrile, ammonia, nitroben-                 able — including some wet techniques that are very efficient
                   zene, hydrogen cyanide, amines, etc.) to NOx. Thermal NOx                     — the most commonly used methods chosen for typical ther-
                   occurs just downstream of burners in the flame zone, where                    mal oxidation systems are selective noncatalytic reduction
                   peak temperatures occur. NOx from organic-bound nitrogen is                   (SNCR) and selective catalytic reduction (SCR).
                   formed at any location during the oxidation reaction.
                                                                                                 21.3.5.4.1 Combustion Process Modification
                      Limiting, or preventing, the high-temperature formation
                   from occurring during combustion reduces NOx production                       For wastes and/or fuels with a high concentration of bound
                   by the first mechanism. This is basically accomplished by                     nitrogen, or for wastes that contain NOx, the single most effec-
                   reducing peak temperatures with different burner design vari-                 tive practical process modification is a form of staged-air com-
                   ations. Thermal NOx control methods using burners are dis-                    bustion. The most common implementation of staged-air
                   cussed in previous chapters and will not be covered here. It                  combustion is accomplished in a three-stage combustion process
                   is important to understand that many of the burner design                     (Reed, 1981),3 as shown in Figure 21.21. As noted above, this
                   methods can also be used to minimize thermal NOx formed                       method may not be the most cost-effective for NOx reduction if
                   in the burners of T.O. systems.                                               the waste stream(s) containing the NOx-producing compounds
                                                                                                 are mostly air, water, or inerts because of the large amount of
                      The second mechanism is much more difficult to prevent                     auxiliary fuel it would take to operate such a unit. If steam is
                   because combustion of organics with bound nitrogen in the                     needed in the plant, it is possible that the high fuel use could be
                   presence of excess oxygen at any temperature will result in                   justified based on the amount of steam generated. NOx reduc-
                   NOx production. In addition, the NOx produced will usually                    tion by this method is achieved in the first stage by combusting
                   be much greater than the burner-generated thermal NOx.                        the nitrogen-bound compound or NOx itself in a high-tempera-
                   Also, some waste streams contain NOx that is not destroyed                    ture atmosphere that is deficient in oxygen (i.e., sub-stoichio-
                   in an excess oxygen environment. For these conditions, reduc-                 metric or reducing). This results in dissociation of the organic
                   ing burner-generated NOx is virtually inconsequential. Either                 compound and reaction of the released nitrogen atoms to N2.
                   the combustion process has to be changed to reduce the NOx                    The flue gas is cooled in the second stage, resulting in a lower
                   exiting the combustion section, or the flue gas must be treated               peak temperature in the third stage. The lowered peak tempera-
                   after the NOx is formed (post-combustion).                                    ture minimizes reformation/formation of thermal NOx.
                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                 Fuel, waste(s), and less-than-stoichiometric combustion          cially if the waste contains significant heating value. Nitrogen
              air are introduced into the first stage (reduction furnace) to      in the chemical waste can be in the organic or inorganic form.
              produce a high-temperature (2000 to 2800°F, 1100 to                 Examples of the organic form are HCN amines, nitriles, and
              1500°C) reducing atmosphere. The excess combustible                 nitroaromatics; examples of the inorganic form are NH3 and
              material in the high-temperature reducing zone provides the         NOx. A small process stream containing some quantity of
              driving force for the reduction of the oxides of nitrogen and       NOx can be treated to produce a cleaner stream that contains
              conversion of bound nitrogen to N2 instead of NOx. Some             comparably less NOx than the original waste. This method
              inert (low or no oxygen content) such as recycle flue gas,          is not suitable for NOx reduction in flue gas from large
              steam, or water can also be introduced into the reducing            combustion processes, such as utilities. It also is not appro-
              zone to allow more consistent control of the operating tem-         priate for waste streams containing large quantities of air,
              perature so as not to exceed the limits of the refractory. The
                                                                                  water, or inerts. Either case would require an excessive
              optimum level of oxygen deficiency in this stage depends
                                                                                  amount of auxiliary fuel to operate the system.
              on the waste composition. Although the oxygen is usually
              supplied by combustion air, the oxygen in NOx and in waste             Three-stage systems using the process described above
              gas streams will also be utilized. The residence time in this       have been operating in a variety of industrial applications
              stage is usually in the range of 0.5 to 1.0 s. The primary          for more than 30 years. Destruction efficiencies of incoming
              components of the gas leaving this stage are CO, H2, CO2,           components of more than 99.99% are achieved. Carbon mon-
              N2, and H2O. Most of the fuel-bound nitrogen is converted           oxide is usually in the 50 to 100 ppmv (dry, corrected to 3%
              to N2, with the remaining present primarily as very low             O2) range. NOx in the flue gases can vary from 50 to 200
              levels of HCN, NH3, and NO.                                         ppmv, dry, corrected to 3% O2, depending on the composition
                 The hot flue gas then enters the second process stage (the       of the waste stream being treated.
              quench chamber) by passing through a venturi mixing sec-
                                                                                     A two-stage process modification can also be used if the
              tion. An inert cooling medium, as described above, is
              injected through multiple openings in the venturi throat to         NOx level does not have to be as low. The same first-stage
              quickly mix with the flue gas and decrease the temperature          reduction furnace is still used. The difference starts at the
              to 1300 to 1750°F (700 to 950°C). The temperature must              reduction furnace outlet. Instead of adding an inert cooling
              be high enough so that rapid ignition of the combustibles           medium and then adding just enough combustion air to
              occurs by simply adding air, but low enough to limit the            oxidize combustibles and maintain 1.5% excess O2, a large
              temperature achieved in the final oxidation stage to less than      amount of air is introduced to cause the oxidation reactions
              2000°F (1100°C). Although cooling is rapid, sufficient time         to occur and to limit the oxidation section outlet tempera-
              must be allowed in this section to ensure that the bulk gas         ture to 1800°F (1000°C) or less. This process is shown in
              temperature is uniform.                                             Figure 21.22.
                 As the cooled flue gas exits the quench section, air in
                                                                                     The high excess O2 (up to 10%) causes more equilibrium
              excess of stoichiometric is introduced at the entrance into
                                                                                  NOx to form in the oxidation section than would form in
              the third stage (the oxidation zone), again using a venturi
                                                                                  the lower O2 three-stage system. Also, the method of control
              mixing section. In this final stage, the carbon monoxide,
                                                                                  is slightly different in that the two-stage system requires the
              hydrogen, and any remaining hydrocarbons produced in the
                                                                                  use of a sometimes maintenance-intensive combustibles
              first stage are oxidized. The flue gas cooling step performed
                                                                                  analyzer to measure and control the combustibles level in
              prior to introduction of the oxidation air controls the peak
              oxidizing operating temperature, thereby limiting formation         the reduction furnace. For the three-stage system, the com-
              of thermal NOx. These process steps often result in levels          bustibles level is controlled by measuring the differential
              of NOx less than 150 ppmv (parts per million by volume)             temperature between the quench section and the outlet of
              at excess oxygen conditions of less than 1 to 2% (dry). The         the oxidizing section, thus avoiding the instrument mainte-
              residence time in this stage is usually in the range of 0.5 to      nance. Another minor drawback is that recycle flue gas
              1.0 s.                                                              cannot be used to control temperature in the reduction fur-
                 The flue gas can then be treated by any of the previously        nace, which reduces heat recovery efficiency in the event
              discussed methods or exhausted directly to the atmosphere           that heat recovery is used. Despite of these less positive
              for dispersion.                                                     items, the two-stage system is still far better than a single-
                 A wide variety of bound-nitrogen-containing gas and liquid       stage, oxidizing-only combustion process for wastes con-
              wastes can be incinerated using this treatment method, espe-
                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                  taining bound nitrogen.
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                   21.3.5.4.2 Selective Noncatalytic Reduction                                                       formly into the hot flue gas in the presence of excess O2. The
                   The selective noncatalytic reduction (SNCR) process for                                           overall net reaction, which occurs by way of a complex free
                   NOx reduction is one in which a compound, added at the end                                        radical chain reaction, is:
                   of the combustion process zone (post combustion), selec-
                   tively reacts with NOx without the aid of a catalyst. The most
                   commonly used process utilizes ammonia (NH3) as the addi-                                                                                    1           3
                                                                                                                                          NO + NH 3 +             O2 Æ N 2 + H2O
                   tive. Figure 21.23 shows such a system. It must be mixed uni-
                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                4           2
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              Concurrently with the NO reduction reaction, NH3 is oxi-             lower temperatures (400 to 850°F or 200 to 450°C) than the
              dized to form NO following the overall reaction:                     noncatalyzed SNCR reactions. The specific reactions cited
                                                                                   for SCR include:
                                                       5         3
                                          NH 3 +         O Æ NO + H 2 O
                                                       4 2       2                                     4 NO + 4NH 3 + O 2 Æ 4 N 2 + 6H 2 O
                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              be rapidly mixed. Because most (90 to 95%) of the NOx                is achieved at lower temperature operation, such as might be
              formed is NO, effective reaction with NH3 can reduce overall         found downstream of a heat recovery section. A heat recovery
              NOx significantly.                                                   or cooling section protects the catalyst from over-temperature
                 For waste combustion systems for which process modifi-            damage. The NH3 slip is normally less than in the SNCR method.
              cation, by burner modification or by staged combustion, is              The catalyst surface can be fouled by particulate or pos-
              not a viable alternative to reduce NOx, NH3 injection can be         sibly poisoned by some materials, but the catalyst material
              reasonably effective. The process is relatively predictable,         is relatively resistant to those as well as erosion damage.
              although some operational trial runs are usually needed to           Also, in the unlikely event that a high temperature upset
              establish the optimum operating conditions. High operational         condition occurs, the catalyst could be damaged. Catalysts
              temperature is necessary, but that fits in with the high DRE         are usually guaranteed for between two and four years, at
              required by most waste combustion systems. SNCR can be               which time they must be replaced to maintain maximum NOx
              used in systems containing particulates with little or no pro-       reduction. However, if multiple layers/sections of catalyst
              cess degradation. The NH3 injection process can also be              are used, instead of replacing all the catalyst, replacement
              utilized at the end of a modified combustion process, such as        of sections can often be alternated and still maintain adequate
              a staged combustion system, to further reduce NOx.                   removal efficiency.
                 NOx reduction of 50 to 70% is possible, but if that is still
              greater than the allowable emission, NH3 injection is not the
              complete solution to the situation. Even with optimized              21.4           BLOWERS
              operation, some small amount of NH3 slip (nonreacted NH3             Blowers (also referred to as fans) are used to overcome the
              in the flue gas) will occur. Also, 1 to 2% of the reduced NO         pressure drop required to move air/flue gas through a T.O.
              will produce N2O. Urea is also used as a reactant. It works          system consisting of multiple flue gas treating processes.
              in a similar manner with similar reduction capabilities.             Although blowers are also used to move waste gases, this
                                                                                   section will discuss only combustion air and flue gas blowers.
              21.3.5.4.3 Selective Catalytic Reduction                             Location of the blower is a major factor in blower selection. If
              The selective catalytic reduction (SCR) process is very simi-        a blower is located at the front end of a system, “pushing” flow
              lar to SNCR except the use of a catalyst increases the reduc-        through, the process is described as forced draft and the blower
              tion of NOx. The increased reduction is primarily the result         will be handling clean air. The forced-draft blower will draw in
              of increased reaction between NH3 and NOx (both NO and               air at ambient pressure and raise it to the pressure needed to
              NO2). In addition, the increased reactions occur at much             push combustion products through the system.
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                       If a blower is located at the back end of a system, “pulling”             Centrifugal blowers draw gas (air) into the center of the
                   flow through, the process is described as induced draft. At that           blower wheel at the axis of rotation where it enters the spaces
                   point, the gas handled will be combustion products, cooled                 between the paddle-like blades that impart radial-outward, as
                   sufficiently for the fan material of construction (by heat recov-          well as angular, velocity to the gas, generating pressure. Centri-
                   ery or quenching). For this case, the blower draws in condi-               fugal blowers can generate well over 100 in. (250 cm) w.c.
                   tioned flue gas at a pressure below ambient (vacuum) and raises            pressure, more than sufficient for almost any multi-component
                   it to just greater than ambient to exhaust it to the atmosphere.           system. As the gas is centrifuged to the periphery of the hous-
                       Occasionally, a blower will be located at the front end,               ing, more gas is drawn into the blade space.
                   “pushing” through part of a system, while a blower at the                     There are three distinct types of centrifugal blowers. The
                   outlet “pulls” through the rest of the components. In that case,           difference is basically the blade configuration used. The three
                   the process is called balanced draft. Obviously, the same                  basic blade types are straight (or radial), forward curved, and
                   criteria for blower selection applies as noted above.                      backward curved. Figure 21.25a illustrates the types of fan
                       When the blower location is determined, the final selection            wheel designs available. Each has its advantages and disad-
                   is based on inlet/outlet composition and volumetric flow rate,             vantages relative to the other two. Table 21.2 summarizes
                   inlet/outlet pressure requirements, inlet/outlet temperature,              those relative characteristics.
                   and flow, pressure, and temperature ranges during operation.                  Proper selection of a centrifugal blower is not accom-
                       Two general classes of blowers exist for moving gas vol-               plished by any single straightforward formula. Experience,
                   umes: axial and centrifugal. Axial blowers use propellers to               usage, and careful evaluation of each application are neces-
                   move the gas parallel to the axis of rotation of the blower.               sary to ensure proper fan selection. It is always best to work
                   Although axial blowers are inexpensive to buy and install and              with blower manufacturers to get the most cost-effective
                   occupy little space, they are very limited in pressure capability          recommendation.
                   (less than 20 in. or 51 cm w.c.) and very noisy at higher                     Another aspect of proper blower selection is utilizing the
                   pressures. For these reasons, axial-type blowers are seldom                best-suited method of flow control for the blower to match
                   used for multi-component T.O. systems and are not examined                 the combustion system. Three primary methods are used:
                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   further in this chapter.                                                   discharge damper control, inlet vane control, and fan speed
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--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 21.25a Fan wheel designs. (Robinson Industries, Zelienople, PA. With permission.)
                  TABLE 21.2 Relative Characteristics of Centrifugal Blowers                            control. The pressure-flow-horsepower curves are shown in
                                                                            Forward   Backward          Figure 21.25b.
                                                                   Radial   Curved     Curved
                                                                                                           A discharge damper consists of one or more sliding or
                  Efficiency                    Medium         Medium          High
                  Tip speed                       High         Medium         Medium
                                                                                                        pivoting blades (such as a butterfly damper) that reduce flow
                  Sizea                          Small         Medium          Large                    area in a duct. Closing the damper increases resistance to flow
                  Initial costb                  Small         Medium          Large                    and reduces flow. However, when flow is reduced, the oper-
                  HP curve                    Medium rise Medium rise Power limiting
                  Accept corrosion coating     Excellent      Fair to poor Good (thin coat)             ating condition of the blower (and the point on the fan curve)
                  Abrasion resistance             Good         Medium         Medium                    is shifted to lower flow but also to a corresponding higher
                  Sticky material handling        Good            Poor        Medium
                  High temperature capability  Excellent         Good          Good
                                                                                                        pressure. This pressure is greater than needed, so the pressure
                  Running clearance              Liberal       Medium      Minimum req’d                drop taken across the damper wastes it. The blower perfor-
                  Operation without diffuser Not as efficient Must use     Good efficiency              mance curve is not changed by using a discharge damper. The
                  Noise level                     High         Medium           Low
                  Stability/non-surge rangec    Medium            Poor        Medium                    horsepower usage ratio is reduced, but by less than the flow
                                              20%–100% 40%–100%              20%–100%                   ratio change (see Figure 21.25c).
                  (a) Size is based on fans at the same speed, volume, and pressure.
                  (b) Cost is based on fans at the same speed, volume, and pressure.                       Inlet vane control is accomplished with a special damper
                  (c) More a function of operating point along a curve than fan type.                   that consists of multiple adjustable vanes oriented radially
                                                                                                        from the centerline of the damper, which is located at the
                   FIGURE 21.25b Radial blade operating curve for 1780 RPM, 70°F, and 0.075 lb/ft3 density. (Robinson Industries,
                   Zelienople, PA. With permission.)
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 21.25c Forward tip blade operating curve for 1780 RPM, 70°F, and 0.075 lb/ft3 density. (Robinson Industries,
              Zelienople, PA. With permission.)
              blower inlet. As the vanes are rotated (adjusted) closed, reduc-      able speed control is that the volume of air flowing is
              ing the amount of air allowed into the blower inlet, the enter-       proportional to the blower speed, the pressure developed is
              ing air is given an angular velocity vector (spin) in the             proportional to the square of the speed, and the horsepower
              direction of rotation of the blower wheel. This spin modifies         required is proportional to the cube of the speed. Thus,
              the basic characteristics of pressure output and power input,
                                                                                    unlike inlet vane control, for which the blower curves start
              resulting in new and reduced pressure and horsepower char-
                                                                                    at the same low flow point for each vane setting and change
              acteristics. As the vanes are further closed, the flow of air is
                                                                                    the end point for the high flow, variable speed control
              further reduced but the spin is increased. This further reduces
              the pressure and horsepower characteristics. Effectively, the         results in a completely separate performance curve for each
              inlet vanes change the blower performance curve so that the           blower speed. The net effect is that the horsepower reduc-
              horsepower reduction ratio is actually greater than the flow          tion ratio is even greater than with inlet vane control (see
              ratio change. A specially designed inlet box with a parallel          Figure 21.25e).
              blade damper directing the flow to one side of the box, effec-
                                                                                       As with blowers, the method of flow control is not neces-
              tively providing rotation at the blower inlet, provides very
                                                                                    sarily based simply on cost or efficiency. Often, a combination
              similar results (see Figure 21.25d).
                 Fan speed control for most combustion system blowers               of two methods is needed, such as discharge dampers con-
              is accomplished utilizing variable-speed drivers (motors or           trolling flow to different parts of a combustion system while
              turbines). Ideally, if a blower is controlled by varying its          the pressure upstream of the dampers is maintained at a con-
              speed, there is little wasted energy. The theory behind vari-         stant point by use of an inlet vane damper.
                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 21.25d Backward curved blade operating curve for 1780 RPM, 70°F, and 0.075 lb/ft3 density. (Robinson
                   Industries, Zelienople, PA. With permission.)
                   21.5            CONTROL SYSTEMS AND                                            1. flame sensor (flame scanner, flame rod, or other method):
                                                                                                     to ensure that either a stable flame is maintained (normal
                                   INSTRUMENTATION                                                   operation) or that no flame is present (during purge)
                   All thermal oxidizer systems require some sort of control, if                  2. fuel supply pressure switches: to ensure that the fuel sup-
                   only a flame failure switch to ensure waste and fuel shutoff                      ply is within the design range
                   when needed. Controls can be classified into flame safeguard                   3. air supply flow or pressure switches: to be certain an
                                                                                                     adequate supply of combustion air is available
                   and process control functions.
                                                                                                  4. automatic shut-off block valves: for the fuel flow and
                      Flame safeguard requirements evolved from insurance and                        waste flow
                   general safety regulations for fuel-fired burners in general.           Process controls are provided to keep the system operating
                   This part of a control system is usually designed to satisfy            within boundaries to meet legal emission requirements and to
                   detailed rules published by the National Fire Protection Asso-          protect the equipment from operational damage. Some form
                   ciation (NFPA), Industrial Risk Insurers (IRI), and Factory             of automatic temperature control is normally used to adjust
                   Mutual (FM). They are meant to ensure that the fuel and                 fuel and quench (air, water, or steam) flow to the unit so that
                   waste flows to an incinerator are stopped if the flame is lost          the waste is burned properly without exceeding the refractory
                   and that the furnace is fully purged of combustibles prior to           lining temperature limits. In many cases, the outlet O2 con-
                   ignition, so that the potential for explosions is eliminated.           centration is monitored and used to control the combustion
                   Generally, the major components of these systems include:               air flow. Downstream flue gas treating equipment will be
                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 21.25e Outlet damper flow control. (Robinson Industries, Zelienople, PA. With permission.)
              FIGURE 21.25f Radial inlet damper/inlet box damper flow control. (Robinson Industries, Zelienople, PA. With permission.)
                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
FIGURE 21.25g Blower speed control. (Robinson Industries, Zelienople, PA. With permission.)
                   built for much lower temperature than the T.O., so flue gas               treatment sections. The choice of these components for any
                   cooling process parameters (boiler water level, water spray               total system depends primarily on the nature of the waste
                   flow rate, etc.) and the resulting flue gas temperature are               stream to be destroyed and the emission requirements for the
                   always monitored to avoid expensive thermal damage. Auto-                 flue gas ultimately exhausted to the atmosphere. This section
                   matic steps (system shutdown, hot gas diversion, etc.) are in             is a discussion of suggested system configurations designed
                   place to deal with any failure. For scrubbers, the flow rate and          for seven of the most common types of waste streams. The
                   pH of the circulating liquids are controlled automatically to             types are:
                   ensure proper removal of acid gases. Less obvious are controls
                                                                                                     1.     non-acid gas endothermic waste gas/waste liquid
                   applied to deal with specific variations in incinerator waste                     2.     non-acid gas exothermic waste gas/waste liquid
                   feed streams. In some applications, the waste flow and com-                       3.     sulfur-bearing acid gas (includes pulp and paper)
                   position are expected to change abruptly. When waste flow                         4.     chlorine-bearing acid gas
                   and composition are expected to change abruptly, the control                      5.     down-fired “salts” (i.e., solids that melt)
                   method required to maintain effective system performance                          6.     vertical/horizontal combustible solids
                   (or even flame stability) could become very complex. The                          7.     NOx minimization or reduction
                   speed of analyzer or thermocouple response often plays a
                   major part in control system design. In these cases, control              21.6.1 Non-acid Gas Endothermic Waste
                   system (and burner) design experience is absolutely critical.                    Gas/Waste Liquid System
                                                                                             Endothermic waste gas and waste liquid are often handled
                                                                                             similarly. Examples are waste gas containing primarily inert
                   21.6            SYSTEM CONFIGURATIONS                                     materials such as N2 or CO2 with some hydrocarbon contam-
                   The previous sections of this chapter covered the basics of               ination, and waste liquid that is water with some small
                   the combustion process, the individual components that make               amount of organic material. For these cases, a system would
                   up the combustion section, and the post-combustion flue gas               be required to introduce significant amounts of fuel and air to
                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              bring the waste components to the temperature needed to oxi-           tions as both the combustion chamber, for residence time, and
              dize them. The simplest system option is a vertical thermal            the stack, to disperse the flue gas to the atmosphere. The
              oxidizer with either a natural- or forced-draft burner. The flue       operating temperature is maintained at the minimum possible
              gas exhausts directly to the atmosphere.                               to achieve DRE so the least amount of fuel will be used. For
                 Often, it is economically desirable to recover heat from the        discussion purposes, a waste gas stream of 100,000 lb/hr
              flue gas of such systems by making steam from a waste liquid           (45,000 kg/hr) of N2 at 80°F (27°C) with no hydrocarbon
              or waste gas T.O. system or by preheating the waste gas                content is considered. The operating temperature chosen is
              stream to reduce fuel usage. Preheating a waste liquid is not          1500°F (820°C). To heat the waste to the chosen operating
              usually cost-effective.                                                temperature, the calculated fuel requirement, ignoring heat
                 Also, if the waste gas is air contaminated with a small             losses, is slightly greater than 65 ¥ 106 Btu/hr (19 MW).
              amount of hydrocarbon and is well below the lower flamma-
              bility (or explosive) limit (LEL), standard thermal oxidation             Recovering some of the fuel heating value put into a T.O.
              is still used, but other methods such as catalytic oxidation           system can be more cost-effective when compared to the sim-
              and regenerative oxidation can be more cost effective.                 ple system, especially if a large amount of fuel is needed. If
                 In all cases, fuel firing capability is required to maintain        a T.O. is to be located in a plant that needs steam for process
              the correct outlet temperature except in the case of the cata-         use, a system configuration represented by Figure 21.27 is
              lytic system, where the fuel firing is often used only to heat         better to use than the simple vertical T.O. system. The refrac-
              up the unit prior to introducing the contaminated air.                 tory-lined T.O. itself is horizontal so flue gas can exit directly
                 Figure 21.26 shows a simple thermal oxidizer. Fuel and              into a boiler (flue gas cooler), which can be either a firetube
              combustion air enters the burner while the inert waste gas or          or a watertube configuration. As noted previously in this chap-
              inert waste liquid is effectively introduced past the fuel/air         ter, firetube boilers are normally recommended for smaller
              combustion zone. Because no heat recovery or flue gas treat-           units with lower pressure steam needs, while watertube boilers
              ment is needed, the most cost-effective design is a refractory-        are the preferred type for larger systems with higher steaming
              lined, vertical up-flow unit. The refractory-lined vessel func-        rates or higher steam pressures. For the same N2 waste case
                                                                                                 Castable Refractory
                                                                                                 Lining
                                                                         Stack
Thermal Oxidizer
                                                                                                         Castable Refactory
                                                                                                         Floor
                                                             Fuel
Air
                                                                                                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   FIGURE 21.27 Thermal oxidizer system generating steam.
                   noted above, a boiler could produce as much as 44,500 lb/hr               of fuel fired, the savings in fuel cost would be about
                   (20,000 kg/hr) of 150 psig (10 barg) steam by cooling the flue            $1,000,000 per year compared to the simple vertical T.O. The
                   gas from 1500 to 500°F (820 to 260°C) (a recovery efficiency              amount of heat transferred from the flue gas would drop the
                   of about 70%). By utilizing an economizer to further cool the             temperature from 1500°F to about 900°F (820°C to about
                   flue gas to 350°F (180°C), about 50,000 lb/hr (23,000 kg/hr)              480°C), which corresponds to a heat recovery of about 42%.
                   of steam could be produced (a recovery efficiency of more                 Because less fuel is required, less combustion air
                   than 80%). Because the flue gas temperature is 500°F (260°C)              (operating cost) is required, and the amount of flue gas is
                   or less, an economical, unlined carbon steel vent stack is used.          reduced. This reduces the size of the T.O. (capital cost). The
                      If no steam is needed, the best system is one that reduces             vent stack would have to have refractory for this example
                   the fuel required by transferring heat from the outlet hot flue           unless it was fabricated using a heat-resistant alloy that could
                   gas from the T.O. to the waste gas. Figure 21.28 illustrates              withstand the greater than 900°F (480°C) flue gas temperature.
                   such a system. The process is usually referred to as a recu-                 Overall, the value of the steam generated and the reduction
                   perative process because energy is being removed from the                 in fuel used during the first year will typically pay for the
                   flue gas and put back into the system by heating the waste                additional equipment needed to make steam or preheat the
                   gas before it enters the T.O. Usually, the refractory-lined T.O.          waste gas.
                   is horizontal for the same reasons as the boiler system. Some                When the waste gas is contaminated air, the configuration
                   smaller systems are built utilizing a vertical up-flow T.O. with          of the simple system and the boiler and preheat systems is
                   the preheat exchanger mounted on the top end of the T.O.                  nearly the same as when the waste gas is a non-oxygen-
                   and the stack on top of the exchanger. For the same waste                 bearing inert. The only real difference in the simple system
                   case described above (100,000 lb/hr or 45,000 kg/hr of N2),               is that it is forced draft. Both the boiler and recuperative
                   preheating from 80 to 900°F (27 to 480°C) by transferring                 systems are already forced (or induced) draft to overcome the
                   heat from the flue gas would reduce the fuel needed to main-              pressure drop of the heat transfer component. Because the
                   tain 1500°F (820°C) in the T.O. from more than 65 ¥ 106                   waste contains the O2 needed to burn the fuel, no additional
                   Btu/hr (19 MW) to less than 29 ¥ 106 Btu/hr (8.5 MW). That                combustion air is needed for any of the systems, so the fuel
                   is a fuel reduction of about 56%. At only $3.50 per 106 Btu/hr            requirement for these cases is reduced.
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                 For example, 100,000 lb/hr (45,000 kg/hr) of 80°F (27°C)         attractive when comparing the sum of the capital and oper-
              contaminated air with no hydrocarbon content can be heated          ating costs. Those are catalytic oxidation with recuperative
              to 1500°F (820°C) with only 39 ¥ 106 Btu/hr (11 MW) of              heat recovery and thermal oxidation with regenerative heat
              fuel. Cooling the flue gas to 350°F (180°C) can generate about      recovery. The catalytic process (Figure 21.4), is usually used
              30,000 lb/hr (14,000 kg/hr) of 150 psig (10 barg) steam. For        for lower volumes of particulate-free contaminated air than
              the recuperative case, by preheating the contaminated air from      the regenerative process. For the catalytic process, the max-
              80 to 900°F (27 to 480°C), the fuel required would be a little      imum heating value of the contaminated air must be limited,
              more than 17 ¥ 106 Btu/hr (5 MW). The amount of heat                not just to remain below LEL, but also to prevent overheating
              transferred from the flue gas would drop its temperature from       the catalyst, which would be damaged rapidly at greater than
              1500°F (820°C) to about 735°F (391°C), which corresponds            1300°F (700°C). The unlined but externally insulated cham-
              to a heat recovery of about 54%.                                    ber upstream of the catalyst receives and evenly distributes
                 However, if the hydrocarbon concentration in the air is too      the approximately 600°F (320°C) preheated contaminated air
              great, care must be taken to preheat the waste air to a safe        to the catalyst section. Downstream of the catalyst, the cham-
              margin below the lowest accepted auto-ignition point. If some       ber is sometimes lined because the temperature after reaction
              of the hydrocarbon oxidizes in the preheat exchanger, severe        may be 1000 to 1300°F (540 to 700°C) before passing into
              over-temperature damage can occur if the exchanger metal-           the heat exchanger.
              lurgy is not capable of the higher temperature. For a simple           For the regenerative process, a short-term over-temperature
              example, at a concentration of 1% methane (CH4) in air, the         problem does not seem to be as great because the refractory
              calculated temperature rise is greater than 450°F (230°C). If       in the T.O. portion and the ceramic media in the heat recovery
              preheat to 900°F (480°C) is intended, an additional tempera-        chambers can withstand operating temperatures greater than
              ture rise of 450°F (230°C) yields 1350°F (730°C). If the T.O.       2000°F (1100°C) to produce higher DRE. However, rapid
              outlet temperature is 1500°F (820°C), the average tube tem-         cycling of the recovery chambers will result in excessive wear
              perature at the exchanger inlet is about 1450°F (790°C), 250°F      and tear on the valves and ceramic media. Furthermore, the
              (120°C) greater than the design. In general, the maximum            temperature downstream of the chambers in the carbon steel
              heating value of contaminated air for a T.O. system using           ductwork can exceed the maximum allowable.
              recuperative heat recovery is about 20 Btu/ft3.                        In general, the maximum heating value of contaminated
                 When the hydrocarbon content of the contaminated air is          air for a catalytic system with recuperative heat recovery is
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              low enough, two other systems become more economically              about 13 Btu/ft3. For a regenerative system, which has even
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                   greater heat recovery efficiency, the maximum heat content                   normal operation. If the flue gas from these wastes does not
                   is about 7 Btu/ft3. For greater organic content, more air can                require treatment before discharge, such systems generally
                   be added to dilute the overall heat content but that increases               consist of a simple natural- or forced-draft burner mounted on
                   the volumetric flow rate, which increases the capital cost of                a vertical refractory-lined T.O. similar to the non-acid endo-
                   either type system. Also, some of the flue gas can be                        thermic system (Figure 21.26). If heat recovery in the form of
                   bypassed in a recuperative system so that less heat is avail-                steam or hot oil is desirable, a boiler or oil heater can be used
                   able for heat transfer. Such a bypass system is shown by                     downstream of a horizontal refractory-lined T.O. configured
                   Figure 21.29.                                                                similar to the system shown in Figure 21.27. In any case, the
                      Also, depending on the DRE required, strong consideration                 maximum temperature in the T.O. section will have to be held
                   should be given to using a fired boiler that consists of a radiant           below a set maximum by using a direct cooling medium.
                   and a convective section. It is essentially a “cold-wall” T.O.                  High-heating-value hydrocarbon wastes, whether gaseous
                   with a boiler. Heat recovery is greater and the NOx emission                 or liquid, have characteristics very similar to those of fuels.
                   will be reduced.                                                             They are generally as easy to burn and are typically injected
                      At times, the contaminated air may contain enough hydro-                  directly into the burner. The burner can be of low, medium,
                   carbon to be greater than 25% of LEL. In such cases, use of                  or high intensity, depending on the waste being burned, the
                   explosion safeguards such as flame arrestors, detonation                     destruction efficiency desired, and what, if any, post-combus-
                   arrestors, or liquid seals is recommended.                                   tion treatment is utilized. Liquid wastes are atomized with
                                                                                                medium-pressure steam or compressed air and are nearly
                                                                                                always fired through the throat of the burner. Waste gases
                   21.6.2 Non-acid Gas Exothermic Waste                                         with higher heating values can be fired through a single gun
                          Gas/Waste Liquid System                                               or through multiple tips. Fuel is used only to heat up the
                      Incineration systems for the disposal of high-heating-value               system in most cases.
                   hydrocarbon wastes (greater than 200 Btu/ft3 for gases and                      The high heating value of these wastes produces high flame
                   greater than 5000 Btu/lb for liquids) that do not have a sub-                temperatures (≥ 2800°F or 1500°C). To achieve the desired
                   stantial halogen, ash, nitrogen, or sulfur content are relatively            destruction efficiency, the combustion chambers for these
                   simple. The combustion of these wastes provides more than                    wastes are generally maintained at relatively high temperatures
                   enough heat to maintain the furnace above the desired oper-                  (≥ 1800°F or 1000°C) and have residence times of greater than
                   ating temperature so that no auxiliary fuel is required during               or equal to 1 second. Destruction efficiency of organic com-
                                                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              pounds is 99.99% or greater when using 20 to 25% excess                 must be removed before the flue gas is exhausted into the
              combustion air. To avoid damage to the unit, excessive tem-             atmosphere. The systems that complete the destruction and
              perature is controlled by cooling the products of combustion            removal are acid gas systems.
              with additional air, water, recycled flue gas, or steam injected
              into the T.O.                                                           21.6.3.1 Sulfur-Bearing Hydrocarbon Systems
                 Additionally, the high operating temperatures result in              During the early stages of the oil and gas refining process,
              excessive NOx formation. Therefore, being able to limit the             sulfur compounds, primarily in the form of hydrogen sulfide
              maximum local temperature at any point in the T.O. must also            (H2S), are removed. The H2S is then converted to elemental
              be a consideration. In some cases, the cooling medium can               sulfur by the Claus process. The final “clean” by-product of
              be injected into multiple locations, both in the burner portion         that process is known as tail gas. Tail gas is mostly N2, CO2,
              and in the T.O. to limit thermal NOx formation. Low NOx                 and water vapor. However, although the efficiency of the
              burner techniques can also apply with these wastes.                     Claus process has improved over the years, some of sulfur
                 The refractory used in the T.O. partially depends on the             compounds still remain. Because sulfur compounds have a
              waste type and the operating temperature. For gases, a                  very strong odor, often likened to “rotten eggs,” even a small
              castable refractory of sufficient thickness to protect the T.O.         amount is detectable by the human nose. By destroying a
              shell is adequate. A liquid-burning incinerator, however, can           high percentage of the sulfur compounds, the concentration
              be lined with a firebrick backed with an insulating castable            in the flue gas is reduced to less than the detectable limit. A
              to withstand potential impingement of flame or liquid. The              majority of the thermal oxidation systems supplied for sulfur-
              difficult-to-brick areas are usually still castable-lined but with      bearing waste streams have been simple units for the treat-
              a higher density material. Also, because excess heat is avail-          ment of tail gas. The sulfur compounds in tail gas include
              able, less concern is shown for minimizing heat loss through            H2S, sulfur dioxide (SO2), carbonyl sulfide (COS), carbon
              the T.O. Maintaining a low stack temperature for personnel              disulfide (CS2), and elemental sulfur vapors. A small amount
                                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              protection may require thicker refractory or a personnel pro-           of CO and hydrocarbon is also usually present. Thermal oxi-
              tection shield.                                                         dizers are very effective for odor control of wastes containing
                                                                                      mercaptans and other odoriferous sulfur compounds.
                 Because the exothermic T.O. systems are usually forced-
                                                                                         Sulfur plant tail gas incinerators are generally designed to
              draft, stack height is not required for them to provide draft
                                                                                      operate with natural draft. A stack tall enough to create the
              in the simple system, and the exit gas velocity is often greater
                                                                                      necessary amount of draft is used to provide air flow to the
              than 50 ft/sec. In addition, the high temperature of the flue
                                                                                      burner. The burners are designed for pressure drops from
              gas exiting the simple unit has sufficient buoyancy to carry
                                                                                      0.25 in. (6.4 mm) w.c. to more than 1.0 in. (2.5 cm) w.c. Waste
              the flue gas to high altitude. Consequently, a tall stack is not
                                                                                      heat recovery boilers are also utilized occasionally. For those
              necessary for flue gas dispersion, and stack height becomes
                                                                                      cases, medium pressure drop, forced-draft burners are used.
              a matter of customer choice based on surrounding structures
              and/or dispersion modeling.                                                The simple incineration process is nearly the same as the
                                                                                      simple endothermic configuration described earlier. Castable
                 As with the endothermic wastes, heat recovery can be
                                                                                      type refractory is usually adequate for the temperature and
              performed with either a boiler or a hot oil heater. With heat
                                                                                      environment expected. As before, the lower portion of the
              recovery, the flue gas is typically vented at less than 600°F
                                                                                      stack is the residence time section. One difference from the
              (320°C) through an unlined steel stack. Although the buoy-
                                                                                      simple endothermic system is that an internal coating may
              ancy is not as great because of lower flue gas temperature,
                                                                                      be applied to the vessel shell before the refractory is installed
              exhaust dispersion is rarely an issue. Depending on the flue
                                                                                      to protect the steel shell from weak sulfuric acid attack.
              gas temperature, external insulation of the stack may be desir-
                                                                                      Another alternative is to add an external rainshield around
              able to prevent water condensation and possible corrosion on
                                                                                      the vessel to keep the shell temperature above the dew point
              the inside of the stack.
                                                                                      to prevent condensation.
                                                                                         Because of the low auto-ignition temperatures (generally
              21.6.3 Acid Gas Systems                                                 less than 700°F or 370°C), destroying sulfur-bearing com-
              Acid gas systems are so called because the wastes treated               pounds is very easy. Traditionally, a T.O. temperature of
              contain components that, as a result of the oxidation reaction          1000 to 1200°F (540 to 650°C) and a residence time of 0.6 to
              to destroy the waste, produce acid compounds such as                    1.0 seconds was used for all sulfur plant tail gases. In the
              SO2/SO3 and HCl. Emission of these acid compounds is lim-               1980s, the need to reduce the H2S content to less than 5 ppmv
              ited by national and local air quality permitting agencies and          required an increase in operating temperature to 1400°F
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                   (760°C) in some cases. The higher temperature ensures a                     Because of the low temperatures and lower oxygen content,
                   higher degree of destruction of the sulfur compounds. It also            NOx formation is fairly limited and is not normally a con-
                   ensures that the fuel use is greater.                                    sideration. However, when operating at a T.O. temperature of
                      During the oxidation of sulfur compounds, a small                     only 1200°F (650°C), any carbon monoxide coming in with
                   amount (typically 1 to 5%) of the sulfur dioxide is further              the tail gas will be only partially (40% or less) destroyed. At
                   oxidized to SO3. The extent of conversion depends on a                   1400°F (760°C), substantially more is oxidized (more than
                   number of conditions such as the temperature profile the                 80%), but CO destruction is still not high. At lower temper-
                   flue gas experiences, the amount of SO2 in the flue gas, the             atures, increased residence time (large T.O.) can provide
                   potential catalytic action of alumina refractory material, etc.          greater destruction, but at greater cost.
                   Once formed, SO3 reacts at a temperature between 450 and                    Pulp and paper plants also generate waste gas containing
                   650°F (230 and 340°C), with water in the gas stream, to                  sulfur compounds. Those wastes are handled in the same
                   form sulfuric acid. Sulfuric acid can cause several problems.            manner. One difference in the equipment is in the material of
                   First, it raises the dew point substantially, sometimes to               construction. While the refineries find carbon steel an accept-
                   temperatures above 400°F (200°C). Sulfuric acid condensa-                able material, the pulp and paper industry often prefers stain-
                   tion can lead to rapid corrosion of carbon steel surfaces.               less steel for many of their installations.
                   Second, when quenched rapidly, sulfuric acid can form an
                   extremely fine aerosol that is difficult to remove in a packed           21.6.3.2 Halogenated Hydrocarbon Systems
                   bed scrubber. Third, the fine aerosol can create a visible               While sulfur is probably the most common acid gas waste
                   plume that has a bright blue-white hue.                                  constituent found in petroleum refining, chlorine (Cl2) is
                                                                                            probably the most common halogen encountered in petro-
                      The flue gas treatment depends on the sulfur content of the           chemical plant wastes. Because it is commonly found, this
                   waste and the regulatory requirements. Typically, tail gas               chapter section discusses chlorinated hydrocarbon treatment
                   incinerators have such a small SO2/SO3 emission that no flue             only. Of the other halogens, fluorine is also relatively com-
                   gas treatment is used. The maximum allowable ground level                mon. It converts even more readily to hydrogen fluoride (HF),
                   concentration (GLC) of SO2 can be achieved by utilizing a                while bromine and iodine have much lower reaction rates
                   tall stack. Stack heights of 100 to 300 ft (30 to 90 m) are              (conversion to HBr and HI) and must be handled differently.
                   common. However, if the requirement is to meet a maximum                    Chlorine is added to many hydrocarbon feedstocks to
                   stack emission instead of a GLC, something else must be done.            formulate numerous useful compounds. Wastes containing
                      For applications in which emission limits are very stringent          chlorinated hydrocarbons can be in the form of gas or
                   or that produce higher SO2 concentration, a scrubber is used             liquid. Waste gases can be air based, inert based, or organic
                   to remove a good portion of the SO2 before the flue gas is               based; waste liquids can be organic or water based. In each
                   dispersed into the atmosphere. To accomplish this, the flue              of these cases, the waste can contain chlorinated hydro-
                   gas from the T.O. must first be cooled by a boiler, then                 carbons such as vinyl chloride, methyl chloride, chloro-
                   quenched to its adiabatic saturation temperature by one of the           benzene, polychlorinated biphenyls (PCB), etc. A typical
                   quenching methods described earlier, and then passed through             incineration system for a relatively high-heating-value
                   a packed bed scrubber. If steam were not needed, the flue gas            chlorinated waste consists of a horizontal T.O. to destroy the
                   would be quenched directly to saturation. SO2 is less soluble            wastes, a firetube boiler to cool the flue gas for further treat-
                   than HCl in water, and therefore more difficult to remove.               ment (and for heat recovery), a direct spray contact quench
                   Adding sodium hydroxide (NaOH), often referred to as “caus-              to cool the flue gas to saturation, a packed column to remove
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   tic,” is normally used to enhance the removal efficiency and             HCl, and a stack to vent the cleaned flue gas to the atmos-
                   to convert the SO2 sulfates and sulfites for further treatment.          phere. Figure 21.30 shows this process. The boiler may not
                   The pH of the recirculated scrubbing solution must be no                 be used if no steam is needed. In that case, the T.O. could
                   greater than 8.0 or a significant amount of caustic will react           be vertical up-flow with a 180° turn into the quench section.
                   with the CO2 in the flue gas, wasting caustic. Also, because             Figure 21.31 would apply.
                   SO2 is more difficult to remove, taller packed beds are                     Depending on the composition/heating value, wastes can
                   required when compared to similar applications (same inlet               be fired through the burner as a fuel or added peripherally
                   concentration and removal efficiency) scrubbing HCl. The                 into the T.O. The type of chlorinated hydrocarbon waste and
                   presence of a significant quantity of SO3 in the flue gases may          the destruction efficiency required dictates the incinerator
                   also necessitate the use of a mist eliminator downstream of              operating temperature, typically between 1600 and 2200°F
                   the scrubber.                                                            (870 and 1200°C). Residence time varies from 1.0 to
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                                                                                                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              FIGURE 21.30 Horizontal thermal oxidizer with firetube boiler and HCl removal system.
              2.0 seconds. Generally, air-based waste streams have lower             bustion products are scrubbed with sodium hydroxide. The
              organic content and require lower destruction efficiency,              presence of hypochlorite in the blowdown stream from the
              which can be accomplished beginning at 1600°F (870°C). On              caustic scrubber may require special treatment, as noted in
              the other hand, wastes containing PCB require a destruction            the section discussing packed column scrubbers. Cl2 forma-
              efficiency of 99.9999%. This level of destruction efficiency           tion can be minimized by shifting the reaction equilibrium
              is usually accomplished at a temperature of 2200°F (1200°C)            away from Cl2 formation and toward HCl formation. As can
              with a residence time of up to 2.0 seconds. The majority of            be seen from the reaction equilibrium vs. operating temper-
              waste streams containing chlorinated hydrocarbons require a            ature curve (Figure 21.32), the equilibrium can be shifted by
              destruction efficiency of 99.99%, which is usually obtained            increasing the T.O. temperature, by increasing the water vapor
              at temperatures of 1800 to 2000°F (1000 to 1100°C) and at              concentration, or by decreasing the excess oxygen concentra-
              residence times of 1.0 to 1.5 seconds.                                 tion. In practice, some excess O2 is required to maintain
                 The T.O. refractory can be as simple as a ceramic fiber             highly efficient oxidation reactions so only changes to the
              blanket for air-based fume streams with low operating temp-            temperature and water concentration are used.
              erature requirements, or as elaborate as a high alumina fire-             A flue gas cooler/waste heat boiler is often used in chlori-
              brick with an insulating firebrick backup for waste liquid             nated hydrocarbon systems. As noted previously (Section
              streams with high operating temperature requirements. Plastic          21.3.5.1.1), a firetube boiler is preferred to a watertube boiler
              refractory is used in places where brick is not easily installed.      because all of the heat transfer surfaces in a firetube boiler can
              Castable refractory with a calcium oxide binder is generally           be maintained at temperatures above the dew point (< 250°F or
              avoided because the HCl in the flue gases can react with the           < 120°C). Of course, to do this, the steam pressure in the
              binder and cause the refractory to degrade.                            boiler must be high enough to have the saturation temperature
                 The oxidation process produces HCl and some free chlo-              sufficiently above the dew point of flue gas. The material of
              rine gas, along with the normal combustion products. It is             construction for the boiler tubes is carbon steel, as it is for
              important to limit the quantity of Cl2 produced because it is          the rest of the boiler.
              very corrosive at higher temperatures and also because it                The flue gas must be quenched to saturation before the
              forms sodium hypochlorite, a strong oxidant, when the com-             absorption/scrubbing step to remove HCl. When quenching
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FIGURE 21.31 Vertical thermal oxidizer with 180° turn quench section.
                   follows a boiler, it can be carried out in the bottom section             tities of HCl, it is not cost-effective to use large quantities of
                   of the packed column. A two-stage column should be used                   water or caustic to remove the HCl. In such systems, a two-
                   for this case if HCl is being removed using caustic. With no              stage removal system is used. The first stage is an absorber
                   waste heat boiler, the flue gas is quenched in a direct contact           from which the majority of the acid is discharged as a con-
                   quench. Quench systems are often fabricated using reinforced              centrated solution of HCl (up to about 20% by weight). The
                   plastic (FRP), with protection against hot flue gases provided
                                                                                             HCl and Cl2 remaining in the flue gas after it passes through
                   by dry-laid brick lining. Some users prefer metal fabrication
                                                                                             the absorber are removed in the downstream scrubber, where
                   such as Hastelloy.
                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                      The quantity of HCl in the flue gas dictates whether a                 caustic is used as the scrubbing reagent. HCl removal effi-
                   single-stage absorber or a two-stage absorber/scrubber is                 ciency of as high as 99.9% can be achieved, although most
                   used. For smaller systems where a relatively small quantity               applications require only about a 99% removal.
                   of HCl is present in the flue gas, a single-stage water absorber             While oxidation of chlorinated hydrocarbons produces HCl
                   or a caustic scrubber can be used, with sufficient blowdown               with a little free Cl2, fluorinated hydrocarbons produce even
                   to maintain the concentration of HCl in the recycle water low
                                                                                             less and are easier to remove than HCl. However, burning
                   enough to allow it to absorb the incoming HCl. If caustic
                                                                                             brominated compounds results in as little as half of the bro-
                   scrubbing is used, the blowdown should maintain the dis-
                   solved and suspended solids (mostly NaCl) at no more than                 mine being converted to HBr. Iodine compounds are worse.
                   5%, but preferably at 3%. Again, the pH should be kept below              Free bromine and iodine are much more difficult to remove
                   8.0. The single-stage absorber produces a dilute acid stream              than Cl2. Brominated and iodine compounds must be treated
                   and the single-stage scrubber produces a stream containing                completely differently. Sub-stoichiometric oxidation is nec-
                   NaCl. For larger systems and those that contain larger quan-              essary to drive the reaction toward HBr and HI.
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                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                       a tendency to collect inside equipment and are difficult to
                                                                                       remove from the flue gas.
                                                                                          If the solid material is an alkali metal inorganic salt such
                                                                                       as NaCl, Na2SO4, CaCl, or KCl, in water, for example, the
                                                                                       total system design must be based on molten material in the
                                                                                       flue gas. Because virtually all cases involve molten material,
                                                                                       the inorganic salt case is reviewed here.
                                                                                          Most of the wastes in this category are salt-contaminated
                                                                                       liquids. The waste streams are both organic and water based.
                                                                                       Because the waste is a hydrocarbon liquid or because the
                                                                                       water-based waste liquid contains a hydrocarbon, thermal
              FIGURE 21.32 Chlorine reaction equilibrium vs. oper-                     oxidation is often the best method for disposal.
              ating temperature.                                                          Unfortunately, because most salt-containing wastes are
                                                                                       liquid, they usually have to be oxidized at higher temper-
                                                                                       atures to rapidly achieve high destruction efficiency. This
              21.6.4 Salts/Solids Systems                                              presents a problem with the refractory in the T.O. Alkali
                                                                                       material attacks the binder in refractory materials. Higher
              Solids system configurations are determined by the condition             temperatures increase the rate of attack. The design must
              of the material coming into and out of the combustion sec-               balance the need for higher temperature (i.e., higher
              tion. Either a liquid or a gas can carry the solid. If the material      destruction efficiency) with the need to prolong refractory
              has a high melting point (> 2400°F or 1300°C) and comes in               life. Temperatures ranging from 1600 to 2000°F (870 to
              with water, it will likely pass through the combustion section           1100°C) and residence times of 1.0 to 1.5 seconds are
              virtually unaffected. If the solid is part of an organic liquid,         commonly used.
              it may melt in the flame zone, but will return to solid phase               The system best-suited for molten salts is illustrated in
              very quickly after leaving the flame zone. If flow patterns              Figure 21.33. The incinerator is usually vertical, with the
              and vessel orientation are wrong, the material will often col-           burner mounted on the top and firing downward. The vertical
              lect in the equipment. Regardless, if the particulate emission           design is highly desirable because it does not allow the molten
              excluded the allowable amount, a particulate removal device              salts to accumulate on the refractory, as it would in a horizontal
              must be employed. Examples are catalyst fines in organic or              oxidizer. This is extremely important, as any accumulation of
              aqueous liquids, metal-machining dust in air, titanium diox-             salts in the oxidizer can drastically reduce refractory life.
              ide (an opaque, white additive to many products) in water or                Basic (MgO) brick has very good resistance to salt attack.
              organic liquid, and some organic salts such as sodium                    However, it is very expensive, highly susceptible to thermal
              acetate (which oxidizes to form organic combustion prod-                 shock and hydration, and will quickly erode if hit by a stream
              ucts and sodium oxides, which have high melting points).                 of water. High alumina brick has been used with varying
                 If the material comes into the vessel as an organic solid, it         results. In some cases, a 90% alumina brick, with its low
              may very well be completely oxidized before it exits. How-               porosity, has been found to be more effective against salt
              ever, organic materials often contain non-organic compounds              attack than a 60% alumina brick. Unfortunately, while the
              that may be high-melting-point inerts or lower-melting-point             higher alumina brick is two to three times the cost of the
              materials such as silica (~2000°F or 1100°C), or alkali metals           lower alumina brick, it does not last two or three times longer.
              inorganic salts such as NaCl (~1500°F or 820°C). If the solid            In general, using the lowest porosity, 60 to 70% alumina brick
              is organic, certain configurations allow quicker, more com-              and the proper burner/T.O. configuration provides the most
              plete oxidation than others. If lower-melting-point materials            cost-effective service.
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                      For organic wastes, moderate to low-pressure-drop burners              be allowed to burn to near completion before injecting the
                   are preferred, because a high-pressure-drop burner, with its              aqueous waste stream into the burner combustion products.
                   attendant turbulence, tends to centrifuge the salts in the waste          Incomplete combustion of the auxiliary fuel can cause soot
                   toward the refractory, causing it to deteriorate more rapidly.            formation and incomplete combustion of the waste.
                   A moderate-pressure-drop burner with no cyclonic action                      Although rare, waste heat recovery boilers have been used
                   tends to keep the salts in suspension and away from the                   in some systems. To utilize heat recovery, the flue gas must
                   incinerator walls. The less salt that contacts the refractory,            be conditioned to a temperature below the melting point of
                   the slower the refractory degrades. The hydrocarbon liquid is             the salt, freezing it before it contacts the cooler heat transfer
                   fired through the burner.                                                 surface. This makes the salt friable so that the accumulation
                      Water-based wastes are injected into the T.O. downstream               is easier to remove from the heat transfer surface. A water-
                   of the burner. Because the water in these wastes must be                  tube-type boiler is used to allow online cleaning by soot
                   evaporated and the bulk mass raised to near the oxidation                 blowers. Figure 21.34 shows this configuration.
                   point before combustion of organic materials can begin, it is                Before the flue gas can be vented to the atmosphere,
                   necessary to burn some amount of auxiliary fuel. The amount               particulate matter must be reduced to the concentration
                   of auxiliary fuel burned depends on the operating temperature             allowable by emission standards. This is accomplished with
                   and the waste composition. A similar moderate-pressure-drop               a baghouse, an ESP a WESP, or a venturi scrubber. Each of
                   burner is also used for this condition. The auxiliary fuel must           these particle removal devices has been discussed in previ-
                                                                                           --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              ous chapter sections. As noted, proper flue gas conditioning                                   vious sections. This section reviews only the three-stage
              or quenching, for the baghouse or ESP, or for the WESP or                                      system configuration.
              venturi scrubber, must be accomplished upstream of any air                                        Consider a waste stream consisting of chlorinated hydro-
              pollution control equipment.                                                                   carbon, amine, and other hydrocarbons. Oxidizing this waste
                 Excessive salt in the flue gas from a salts unit will form a                                mixture in a standard excess-air T.O. would produce high
              nondissipating visible plume. Consequently, the flue gas from                                  NOx and HCl emissions. A three-stage NOx system would
              the saturated system often receives intense public scrutiny.                                   provide the NOx reduction needed, but the HCl generated
              For this reason, some operators choose to install equipment                                    would be an issue. By simply adding a packed column scrub-
              to eliminate the visible water vapor plume. This is accom-                                     ber, which is capable of quenching the flue gas in the base
              plished either by cooling and removing virtually all the water                                 of the scrubber, to the end of the NOx system, the problem
              vapor in the saturated flue gas, or by removing a substantial                                  is solved. Figure 21.35 illustrates this configuration.
              portion of it and then heating the flue gas stream so that the                                    The combustion air blower, burner, reduction furnace,
              plume becomes less visible. De-pluming is costly, both in                                      quench section, oxidation air blower, and oxidation section
              terms of capital and operating costs, and the results are not                                  are very similar to those supplied for a “normal” three-stage
              always satisfactory.                                                                           NOx system. Carbon steel construction is still acceptable. It
                 For both water- and organic-based liquid streams, 99.99%                                    is necessary to add a full-length rainshield or internal anti-
              DRE is normally required. A particulate matter concentra-                                      corrosion lining to the three vessels to protect against HCl
              tion of 0.015 grains per dry standard cubic foot (DSCF) of                                     corrosion. Also, the carbon steel duct between the boiler and
              flue gas, corrected to a specific excess O2 level, is also                                     the packed column and the entire recycle duct to the reduction
              normally required.                                                                             furnace and quench section must be externally insulated and
                                                                                                             sealed from weather so the unlined ductwork steel tempera-
                                                                                                             ture will stay well above the dew point. The recycle blower
              21.6.5 NOx Minimization or                                                                     should be carbon steel with sealed external insulation. The
                     Reduction Systems                                                                       packed column should be FRP.
              The theory behind the combustion-process-modification
                                                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                The refractory is very similar to that in the “normal” NOx
              method of minimizing or reducing NOx was covered in pre-                                       system with the exception that the presence of HCl must be
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                                                                                                                      REFERENCES
                   21.7            CLOSING
                   The purpose of presenting this chapter was to attempt to pro-                                            1. C.D. Cooper and F.L. Alley, Air Pollution Control, A
                   vide a better understanding of the use of thermal oxidation pro-                                            Design Approach, 2nd ed., Waveland Press, Prospect
                   cesses to destroy vapor and liquid wastes. Although specific                                                Heights, IL, 1994.
                   design details were not included, written explanations and dia-
                                                                                                                            2. R.C. Flagan and J.H. Seinfeld, Fundamentals of Air
                   grams provided an overview of the multi-faceted subject.
                                                                                                                               Pollution Engineering, Prentice-Hall, Englewood
                                                                                                                               Cliffs, NJ, 1988.
                                                                                                                            3. W. Licht, Air Pollution Control Engineering, Basic
                   21.9            NOMENCLATURE
                                                                                                                               Calculations for Particulate Collection, Marcel Dekker,
                   APC             Air pollution control
                                                                                                                               Inc., New York, 1980.
                   CSA             Collecting surface area
                   DRE             Destruction and removal efficiency                                                       4. R.D. Reed, Furnace Operations, 3rd ed., Gulf Publishing,
                   ESP             Electrostatic precipitator                                                                  Houston, TX, 1981.
                   FRP             Fiberglass-reinforced plastic                                                            5. H.L. Gutzwiller, Fan Performance and Design, Robinson
                   LEL             Lower explosive (flammability) limit                                                        Industries, Inc., January 2000.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Appendices
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        Appendices
                                        Appendix A — Physical Properties of Materials
                                                            Table A.1   Areas and Circumferences of Circles and Drill Sizes...................................................... 695
                                                            Table A.2   Physical Properties of Pipe .............................................................................................. 704
                                                            Table A.3   Physical Properties of Tubing .......................................................................................... 709
                                                            Table A.4   SAE Grades for Steel Bolts.............................................................................................. 711
                                                            Table A.5   ASTM Grades for Steel Bolts .......................................................................................... 712
                                                            Table A.6   Properties for Metric Steel Bolts, Screws, and Studs....................................................... 713
                                        Appendix B — Properties of Gases and Liquids
                                                            Table B.1   Combustion Data for Hydrocarbons ................................................................................ 715
                                                            Table B.2   Thermodynamic Data for Common Substances .............................................................. 716
                                                            Table B.3   Properties of Dry Air at Atmospheric Pressure................................................................ 717
                                                            Table B.4   Properties of Gases and Vapors in English and Metric Units .......................................... 719
                                        Appendix C — Common Conversions .................................................................................................................. 725
693 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                        Appendix A
                                                                        Physical Properties of Materials
                                                                          TABLE A.1     Areas and Circumferences of Circles and Drill Sizes
                                                                           Drill Size   Diameter (in.)   Circumference (in.)                    Area (in.)                               Area (ft)
                                                                                                                           695
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                                                                   TABLE A.1 (continued) Areas and Circumferences of Circles and Drill Sizes
                                                                    Drill Size   Diameter (in.)   Circumference (in.)                  Area (in.)                               Area (ft)
                                           TABLE A.1 (continued) Areas and Circumferences of Circles and Drill Sizes
                                               Drill Size                     Diameter (in.)   Circumference (in.)                   Area (in.)                              Area (ft)
                                      TABLE A.1 (continued) Areas and Circumferences of Circles and Drill Sizes
                                          Drill Size               Diameter (in.)   Circumference (in.)                  Area (in.)                               Area (ft)
                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                            29/32"                    0.9062             2.8471                           0.6450                                 0.004   479
                                                                             TABLE A.1 (continued) Areas and Circumferences of Circles and Drill Sizes
                                                                               Drill Size   Diameter (in.)   Circumference (in.)                  Area (in.)                              Area (ft)
                                      TABLE A.1 (continued) Areas and Circumferences of Circles and Drill Sizes
                                          Drill Size               Diameter (in.)   Circumference (in.)                  Area (in.)                               Area (ft)
                                                                                                                                                                                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                             6   1/2"                 6.5000            20.420                          33.183                                   0.2304
                                             6   5/8"                 6.6250            20.813                          34.472                                   0.2394
                                           TABLE A.1 (continued) Areas and Circumferences of Circles and Drill Sizes
                                              Drill Size           Diameter (in.)   Circumference (in.)                  Area (in.)                              Area (ft)
                                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                11 1/8"              11.1250            34.950                          97.205                                  0.6750
                                      TABLE A.1 (continued) Areas and Circumferences of Circles and Drill Sizes
                                          Drill Size               Diameter (in.)   Circumference (in.)                       Area (in.)                          Area (ft)
                                           TABLE A.1 (continued) Areas and Circumferences of Circles and Drill Sizes
                                              Drill Size           Diameter (in.)   Circumference (in.)                  Area (in.)                              Area (ft)
                                                                                                                                                                                          --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                  29"                 29.0000           91.106                        660.5                                     4.587
                                                29 1/4"               29.2500           91.892                        672.0                                     4.666
                                 …          …..        10S         0.049      0.307     0.0740    0.0548     0.106          0.0804         0.186          0.0321          0.00088         0.00437    0.1271
                  1/8            40         Std        40S         0.068      0.269     0.0568    0.0720     0.106          0.0705         0.245          0.0246          0.00106         0.00525    0.1215
                 0.405           80         XS         80S         0.095      0.215     0.0364    0.0925     0.106          0.0563         0.315          0.0157          0.00122         0.00600    0.1146
                                 …          …..        10S         0.065      0.410     0.1320    0.0970     0.141          0.1073         0.330          0.0572          0.00279         0.01032    0.1694
                  1/4            40         Std        40S         0.088      0.364     0.1041    0.1250     0.141          0.0955         0.425          0.0451          0.00331         0.01230    0.1628
                 0.540           80         XS         80S         0.119      0.302     0.0716    0.1574     0.141          0.0794         0.535          0.0310          0.00378         0.01395    0.1547
                                 …          …..        10S         0.065      0.545     0.2333    0.1246     0.177          0.1427         0.423          0.1011          0.00586         0.01737    0.2169
                  3/8            40         Std        40S         0.091      0.493     0.1910    0.1670     0.177          0.1295         0.568          0.0827          0.00730         0.02160    0.2090
                 0.675           80         XS         80S         0.126      0.423     0.1405    0.2173     0.177          0.1106         0.739          0.0609          0.00862         0.02554    0.1991
                                 …         …..         10S         0.083      0.674     0.3570    0.1974     0.220          0.1765         0.671          0.1547          0.01431         0.0341     0.2692
                                 40        Std         40S         0.109      0.622     0.3040    0.2503     0.220          0.1628         0.851          0.1316          0.01710         0.0407     0.2613
                  1/2            80         XS         80S         0.147      0.546     0.2340    0.3200     0.220          0.1433         1.088          0.1013          0.02010         0.0478     0.2505
                 0.840          160        …..          …          0.187      0.466     0.1706    0.3830     0.220          0.1220         1.304          0.0740          0.02213         0.0527     0.2402
                                …          XXS          …          0.294      0.252     0.0499    0.5040     0.220          0.0660         1.714          0.0216          0.02425         0.0577     0.2192
… ….. 5S 0.065 0.920 0.6650 0.2011 0.275 0.2409 0.684 0.2882 0.02451 0.0467 0.349
                                                                                                                                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                 …         …..         10S         0.083      0.884     0.6140    0.2521     0.275          0.2314         0.857          0.2661          0.02970         0.0566     0.343
                  3/4            40        Std         40S         0.113      0.824     0.5330    0.3330     0.275          0.2157         1.131          0.2301          0.0370          0.0706     0.334
                 1.050           80         XS         80S         0.154      0.742     0.4320    0.4350     0.275          0.1943         1.474          0.1875          0.0448          0.0853     0.321
                                160        …..          …          0.218      0.614     0.2961    0.5700     0.275          0.1607         1.937          0.1284          0.0527          0.1004     0.304
                                 …         XXS          …          0.308      0.434     0.1479    0.7180     0.275          0.1137         2.441          0.0641          0.0579          0.1104     0.284
                                 …         …..          5S         0.065      1.185     1.1030    0.2553     0.344          0.3100         0.868          0.478           0.0500          0.0760     0.443
                                 …         …..         10S         0.109      1.097     0.9450    0.4130     0.344          0.2872         1.404          0.409           0.0757          0.1151     0.428
                   1             40        Std         40S         0.133      1.049     0.8640    0.4940     0.344          0.2746         1.679          0.374           0.0874          0.1329     0.421
                 1.315           80         XS         80S         0.179      0.957     0.7190    0.6390     0.344          0.2520         2.172          0.311           0.1056          0.1606     0.407
                                160        …..          …          0.250      0.815     0.5220    0.8360     0.344          0.2134         2.844          0.2261          0.1252          0.1903     0.387
                                 …         XXS          …          0.358      0.599     0.2818    1.0760     0.344          0.1570         3.659          0.1221          0.1405          0.2137     0.361
                                 …         …..          5S         0.065      1.530      1.839     0.326     0.434          0.401          1.107          0.797           0.1038          0.1250     0.564
                                 …         …..         10S         0.109      1.442      1.633     0.531     0.434          0.378          1.805          0.707           0.1605          0.1934     0.550
                 1-1/4           40        Std         40S         0.140      1.380      1.496     0.669     0.434          0.361          2.273          0.648           0.1948          0.2346     0.540
                 1.660           80         XS         80S         0.191      1.278      1.283     0.881     0.434          0.335          2.997          0.555           0.2418          0.2913     0.524
                                160        …..          …          0.250      1.160      1.057     1.107     0.434          0.304          3.765          0.458           0.2839          0.342      0.506
                                 …         XXS          …          0.382      0.896      0.631     1.534     0.434          0.2346         5.214          0.2732          0.341           0.411      0.472
                                 …         …..          5S         0.065      1.770      2.461     0.375     0.497          0.463          1.274          1.067           0.1580          0.1663     0.649
                                 …         …..         10S         0.109      1.682      2.222     0.613     0.497          0.440          2.085          0.962           0.2469          0.2599     0.634
                 1-1/2           40        Std         40S         0.145      1.610      2.036     0.799     0.497          0.421          2.718          0.882           0.310           0.326      0.623
                 1.900           80         XS         80S         0.200      1.500      1.767     1.068     0.497          0.393          3.631          0.765           0.391           0.412      0.605
                                160        …..          …          0.281      1.338      1.406     1.429     0.497          0.350          4.859          0.608           0.483           0.508      0.581
                                 …         XXS          …          0.400      1.100      0.950     1.885     0.497          0.288          6.408          0.412           0.568           0.598      0.549
                                 …         …..          5S         0.065      2.245      3.960     0.472     0.622          0.588          1.604          1.716           0.315           0.2652     0.817
                                 …         …..         10S         0.109      2.157      3.650     0.776     0.622          0.565          2.638          1.582           0.499           0.420      0.802
                   2             40        Std         40S         0.154      2.067      3.360     1.075     0.622          0.541          3.653          1.455           0.666           0.561      0.787
                 2.375           80         XS         80S         0.218      1.939      2.953     1.477     0.622          0.508          5.022          1.280           0.868           0.731      0.766
                                160        …..          …          0.343      1.689      2.240     2.190     0.622          0.442          7.444          0.971           1.163           0.979      0.729
                                 …         XXS          …          0.436      1.503      1.774     2.656     0.622          0.393          9.029          0.769           1.312           1.104      0.703
                                      …        …..          5S     0.083      2.709       5.76     0.728     0.753           0.709          2.475          2.499           0.710            0.494      0.988
                                      …        …..         10S     0.120      2.635       5.45     1.039     0.753           0.690          3.531          2.361           0.988            0.687      0.975
                     2-1/2            40       Std         40S     0.203      2.469       4.79     1.704     0.753           0.646          5.793          2.076           1.530            1.064      0.947
                     2.875            80        XS         80S     0.276      2.323       4.24     2.254     0.753           0.608          7.661          1.837           0.193            1.339      0.924
                                     160       …..          …      0.375      2.125       3.55     2.945     0.753           0.556         10.01           1.535           2.353            1.637      0.894
                                      …        XXS          …      0.552      1.771       2.46     4.030     0.753           0.464         13.70           1.067           2.872            1.998      0.844
                                                                                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                      …        …..          5S     0.083      3.334       8.73     0.891     0.916           0.873          3.03           3.78            1.301            0.744      1.208
                                      …        …..         10S     0.120      3.260       8.35     1.274     0.916           0.853          4.33           3.61            1.822            1.041      1.196
                       3              40       Std         40S     0.216      3.068       7.39     2.228     0.916           0.803          7.58           3.20            3.02             1.724      1.164
                     3.500            80        XS         80S     0.300      2.900       6.61     3.020     0.916           0.759         10.25           2.864           3.90             2.226      1.136
                                     160       …..          …      0.437      2.626       5.42     4.210     0.916           0.687         14.32           2.348           5.03             2.876      1.094
                                      …        XXS          …      0.600      2.300       4.15     5.470     0.916           0.602         18.58           1.801           5.99             3.43       1.047
                                      …         …..         5S     0.083      3.834      11.55     1.021     1.047           1.004          3.47           5.01            1.960            0.980      1.385
                     3-1/2            …         …..        10S     0.120      3.760      11.10     1.463     1.047           0.984          4.97           4.81            2.756            1.378      1.372
                     4.000            40        Std        40S     0.226      3.548       9.89      2.68     1.047           0.929          9.11           4.28            4.79             2.394      1.337
                                      80        XS         80S     0.318      3.364       8.89      3.68     1.047           0.881         12.51           3.85            6.28             3.14       1.307
                                      …        …..          5S     0.083      4.334      14.75     1.152     1.178           1.135          3.92           6.40           2.811             1.249      1.562
                                      …        …..         10S     0.120      4.260      14.25     1.651     1.178           1.115          5.61           6.17           3.96              1.762      1.549
                       4              40       Std         40S     0.237      4.026      12.73      3.17     1.178           1.054         10.79           5.51           7.23              3.21       1.510
                     4.500            80        XS         80S     0.337      3.826      11.50      4.41     1.178           1.002         14.98           4.98           9.61              4.27       1.477
                                     120       …..          …      0.437      3.626      10.33      5.58     1.178           0.949         18.96           4.48          11.65              5.18       1.445
                                     160       …..          …      0.531      3.438       9.28      6.62     1.178           0.900         22.51           4.02          13.27              5.90       1.416
                                      …        XXS          …      0.674      3.152       7.80      8.10     1.178           0.825         27.54           3.38          15.29              6.79       1.374
                                      …        …..          5S     0.109      5.345      22.44     1.868     1.456           1.399          6.35           9.73           6.95              2.498      1.929
                                      …        …..         10S     0.134      5.295      22.02     2.285     1.456           1.386          7.77           9.53           8.43              3.03       1.920
                       5              40       Std         40S     0.258      5.047      20.01      4.30     1.456           1.321         14.62           8.66          15.17              5.45       1.878
                     5.563            80        XS         80S     0.375      4.813      18.19      6.11     1.456           1.260         20.78           7.89          20.68              7.43       1.839
                                     120       …..          …      0.500      4.563      16.35      7.95     1.456           1.195         27.04           7.09          25.74              9.25       1.799
                                     160       …..          …      0.625      4.313      14.61      9.70     1.456           1.129         32.96           6.33          30                10.8        1.760
                                      …        XXS          …      0.750      4.063      12.97     11.34     1.456           1.064         38.55           5.62          33.6              12.1        1.722
                                      …        …..          5S     0.109      6.407      32.20     2.231     1.734           1.677          5.37         13.98           11.85              3.58       2.304
                                      …        …..         10S     0.134      6.357      31.70     2.733     1.734           1.664          9.29         13.74           14.4               4.35       2.295
                       6              40       Std         40S     0.280      6.065      28.89      5.58     1.734           1.588         18.97         12.51           28.14              8.5        2.245
                     6.625            80        XS         80S     0.432      5.761      26.07      8.40     1.734           1.508         28.57         11.29           40.5              12.23       2.195
                                     120       …..          …      0.562      5.501      23.77     10.70     1.734           1.440         36.39         10.30           49.6              14.98       2.153
                                     160       …..          …      0.718      5.189      21.15     13.33     1.734           1.358         45.30          9.16           59                17.81       2.104
                                      …        XXS          …      0.864      4.897      18.83     15.64     1.734           1.282         53.16          8.17           66.3              20.03       2.060
                                      …         …..         5S     0.109      8.407       55.5     2.916     2.258           2.201          9.91         24.07           26.45              6.13       3.01
                                      …         …..        10S     0.148      8.329       54.5      3.94     2.258           2.180         13.40         23.59           35.4               8.21       3.00
                                      20        …..         …      0.250      8.125       51.8      6.58     2.258           2.127         22.36         22.48           57.7              13.39       2.962
                                      30        …..         …      0.277      8.071       51.2      7.26     2.258           2.113         24.70         22.18           63.4              14.69       2.953
                                      40        Std        40S     0.322      7.981       50.0      8.40     2.258           2.089         28.55         21.69           72.5              16.81       2.938
                       8              60        …..         …      0.406      7.813       47.9     10.48     2.258           2.045         35.64         20.79           88.8              20.58       2.909
                     8.625            80        XS         80S     0.500      7.625       45.7     12.76     2.258           1.996         43.39         19.80           105.7             24.52       2.878
                                     100        …..         …      0.593      7.439       43.5     14.96     2.258           1.948         50.87         18.84           121.4             28.14       2.847
                                     120        …..         …      0.718      7.189       40.6     17.84     2.258           1.882         60.63         17.60           140.6             32.6        2.807
                                     140        …..         …      0.812      7.001       38.5     19.93     2.258           1.833         67.76         16.69           153.8             35.7        2.777
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                                                                                                                                                                                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                    Wall                                     Sq. Ft.       Sq. Ft.                       Weight         Moment
              Nominal            Schedule Number                   Thick-               Inside    Metal     outside        inside        Weight         of water           of           Section     Radius
              pipe size,                                            ness,               Area,     Area,     surface,      surface,       per ft,         per ft,        Inertia,        modulus,   gyration,
               OD, in.            a          b           c           in.    I.D., in.   sq. in.   sq. in.    per ft        per ft          lb              lb             in.4            in.3        in.
                                 …         XXS          …          0.875      6.875       37.1     21.30     2.258          1.800         72.42         16.09           162              37.6       2.757
                                160         ….          …          0.906      6.813       36.5     21.97     2.258          1.784         74.69         15.80           165.9            38.5       2.748
                                 …          …..         5S         0.134     10.482       86.3      4.52     2.815          2.744        15.15          37.4            63.7             11.85      3.75
                                 …          …..        10S         0.165     10.420       85.3      5.49     2.815          2.728        18.70          36.9            76.9             14.3       3.74
                                 20         …..         …          0.250     10.250       82.5      8.26     2.815          2.683        28.04          35.8            113.7            21.16      3.71
                                 …          …..         …          0.279     10.192       81.6      9.18     2.815          2.668        31.20          35.3            125.9            23.42      3.70
                                 30         …..         …          0.307     10.136       80.7     10.07     2.815          2.654        34.24          35.0            137.5            25.57      3.69
                  10             40         Std        40S         0.365     10.020       78.9     11.91     2.815          2.623        40.48          34.1            160.8            29.9       3.67
                10.750           60         XS         80S         0.500      9.750       74.7     16.10     2.815          2.553        54.74          32.3            212              39.4       3.63
                                 80         …..         …          0.593      9.564       71.8     18.92     2.815          2.504        64.33          31.1            244.9            45.6       3.60
                                100         …..         …          0.718      9.314       68.1     22.63     2.815          2.438        76.93          29.5            286.2            53.2       3.56
                                120         …..         …          0.843      9.064       64.5     26.24     2.815          2.373        89.20          28.0            324              60.3       3.52
                                140         …..         …          1.000      8.750       60.1      30.6     2.815          2.291        104.13         26.1            368              68.4       3.47
                                160         …..         …          1.125      8.500       56.7      34.0     2.815          2.225        115.65         24.6            399              74.3       3.43
                                 …          …..         5S         0.165     12.420      121.2      6.52     3.34           3.25         19.56          52.5            129.2           20.27       4.45
                                 …          …..        10S         0.180     12.390      120.6      7.11     3.34           3.24         24.20          52.2            140.5           22.03       4.44
                                 20         …..         …          0.250     12.250      117.9      9.84     3.34           3.21         33.38          51.1            191.9           30.1        4.42
                                 30         …..         …          0.330     12.090      114.8     12.88     3.34           3.17         43.77          49.7            248.5           39.0        4.39
                                 …          Std        40S         0.375     12.000      113.1     14.58     3.34           3.14         49.56          49.0            279.3           43.8        4.38
                  12             40         …..         …          0.406     11.938      111.9     15.74     3.34           3.13         53.53          48.5            300             47.1        4.37
                12.750           …          XS         80S         0.500     11.750      108.4     19.24     3.34           3.08         65.42          47.0            362             56.7        4.33
                                 60         …..         …          0.562     11.626      106.2     21.52     3.34           3.04         73.16          46.0            401             62.8        4.31
                                 80         …..         …          0.687     11.376      101.6     26.04     3.34           2.978        88.51          44.0            475             74.5        4.27
                                100         …..         …          0.843     11.064       96.1      31.5     3.34           2.897        107.20         41.6            562             88.1        4.22
                                120         …..         …          1.000     10.750       90.8      36.9     3.34           2.814        125.49         39.3            642             100.7       4.17
                                140         …..         …          1.125     10.500       86.6      41.1     3.34           2.749        139.68         37.5            701             109.9       4.13
                                160         …..         …          1.312     10.126       80.5      47.1     3.34           2.651        160.27         34.9            781             122.6       4.07
                                 10         …..         …          0.250     13.500      143.1     10.80     3.67           3.53         36.71          62.1            255.4           36.5        4.86
                                 20         …..         …          0.312     13.376      140.5     13.42     3.67           3.5          45.68          60.9            314             44.9        4.84
                                 30         Std         …          0.375     13.250      137.9     16.05     3.67           3.47         54.57          59.7            373             53.3        4.82
                                 40         …..         …          0.437     13.126      135.3     18.62     3.67           3.44         63.37          58.7            429             61.2        4.80
                                 …          XS          …          0.500     13.000      132.7     21.21     3.67           3.4          72.09          57.5            484             69.1        4.78
                                 …          …..         …          0.562     12.876      130.2     23.73     3.67           3.37         80.66          56.5            537             76.7        4.76
                  14             60         …..         …          0.593     12.814      129.0     24.98     3.67           3.35         84.91          55.9            562             80.3        4.74
                14.000           …          …..         …          0.625     12.750      127.7     26.26     3.67           3.34         89.28          55.3            589             84.1        4.73
                                 …          …..         …          0.687     12.626      125.2     28.73     3.67           3.31         97.68          54.3            638             91.2        4.71
                                 80         …..         …          0.750     12.500      122.7      31.2     3.67           3.27         106.13         53.2            687             98.2        4.69
                                 …          …..         …          0.875     12.250      117.9      36.1     3.67           3.21         122.66         51.1            781             111.5       4.65
                                100         …..         …          0.937     12.126      115.5      38.5     3.67           3.17         130.73         50.0            825             117.8       4.63
                                120         …..         …          1.093     11.814      109.6      44.3     3.67           3.09         150.67         47.5            930             132.8       4.58
                                140         …..         …          1.250     11.500      103.9      50.1     3.67           3.01         170.22         45.0            1127            146.8       4.53
                                160         …..         …          1.406     11.188       98.3      55.6     3.67           2.929        189.12         42.6            1017            159.6       4.48
                                 10         …..         …          0.250     15.500      188.7     12.37     4.19           4.06         42.05          81.8            384             48          5.57
                                 20         …..         …          0.312     15.376      185.7     15.38     4.19           4.03         52.36          80.5            473             59.2        5.55
                                 30         Std         …          0.375     15.250      182.6     18.41     4.19           3.99         62.58          79.1            562             70.3        5.53
                                 …          …..         …          0.437     15.126      179.7     21.37     4.19           3.96         72.64          77.9            648             80.9        5.50
                                 40         XS          …          0.500     15.000      176.7     24.35     4.19           3.93         82.77          76.5            732             91.5        5.48
                                 …          …..         …          0.562     14.876      173.8     27.26     4.19           3.89         92.66          75.4            813             106.6       5.46
                                 …          …..         …          0.625     14.750      170.9      30.2     4.19           3.86         102.63         74.1            894             112.2       5.44
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                      16              60        …..         …      0.656     14.688      169.4      31.6     4.19            3.85         107.50         73.4            933               116.6       5.43
                    16.000            …         …..         …      0.687     14.626      168.0      33.0     4.19            3.83         112.36         72.7            971               121.4       5.42
                                      …                     …      0.750     14.500      165.1      35.9     4.19            3.8          122.15         71.5            1047              130.9       5.40
                                      80        …..         …      0.842     14.314      160.9      40.1     4.19            3.75         136.46         69.7            1157              144.6       5.37
                                      …         …..         …      0.875     14.250      159.5      41.6     4.19            3.73         141.35         69.1            1193              154.1       5.36
                                     100        …..         …      1.031     13.938      152.6      48.5     4.19            3.65         164.83         66.1            1365              170.6       5.30
                                     120        …..         …      1.218     13.564      144.5      56.6     4.19            3.55         192.29         62.6            1556              194.5       5.24
                                     140        …..         …      1.437     13.126      135.3      65.7     4.19            3.44         223.50         58.6            1760              220.0       5.17
                                     160        …..         …      1.593     12.814      129.0      72.1     4.19            3.35         245.11         55.9            1894              236.7       5.12
                                      10        …..         …      0.250     17.500      240.5     13.94     4.71            4.58         47.39          104.3           549               61.0        6.28
                                      20        …..         …      0.312     17.376      237.1     17.34     4.71            4.55         59.03          102.8           678               75.5        6.25
                                                                                                                                                                                                                  --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                      …         Std         …      0.375     17.250      233.7     20.76     4.71            4.52         70.59          101.2           807               89.6        6.23
                                      30        …..         …      0.437     17.126      230.4     24.11     4.71            4.48         82.06          99.9            931               103.4       6.21
                                      …         XS          …      0.500     17.000      227.0     27.49     4.71            4.45         93.45          98.4            1053              117.0       6.19
                                      40        …..         …      0.562     16.876      223.7      30.8     4.71            4.42         104.75         97.0            1172              130.2       6.17
                                      …         …..         …      0.625     16.750      220.5      34.1     4.71            4.39         115.98         95.5            1289              143.3       6.15
                      18              …         …..         …      0.687     16.626      217.1      37.4     4.71            4.35         127.03         94.1            1403              156.3       6.13
                    18.000            60        …..         …      0.750     16.500      213.8      40.6     4.71            4.32         138.17         92.7            1515              168.3       6.10
                                      …         …..         …      0.875     16.250      207.4      47.1     4.71            4.25         160.04         89.9            1731              192.8       6.06
                                      80        …..         …      0.937     16.126      204.2      50.2     4.71            4.22         170.75         88.5            1834              203.8       6.04
                                     100        …..         …      1.156     15.688      193.3      61.2     4.71            4.11         207.96         83.7            2180              242.2       5.97
                                     120        …..         …      1.375     15.250      182.6      71.8     4.71            3.99         244.14         79.2            2499              277.6       5.90
                                     140        …..         …      1.562     14.876      173.8      80.7     4.71            3.89         274.23         75.3            2750              306         5.84
                                     160        …..         …      1.781     14.438      163.7      90.7     4.71            3.78         308.51         71.0            3020              336         5.77
                                      10        …..         …      0.250     19.500      298.6     15.51     5.24            5.11         52.73          129.5           757               75.7        6.98
                                      …         …..         …      0.312     19.376      294.9     19.30     5.24            5.07         65.40          128.1           935               93.5        6.96
                                      20        Std         …      0.375     19.250      291.0     23.12     5.24            5.04         78.60          126.0           1114              111.4       6.94
                                      …         …..         …      0.437     19.126      287.3     26.86     5.24            5.01         91.31          124.6           1286              128.6       6.92
                                      30        XS          …      0.500     19.000      283.5      30.6     5.24            4.97         104.13         122.8           1457              145.7       6.90
                                      …         …..         …      0.562     18.876      279.8      34.3     5.24            4.94         116.67         121.3           1624              162.4       6.88
                      20              40        …..         …      0.593     18.814      278.0      36.2     5.24            4.93         122.91         120.4           1704              170.4       6.86
                    20.000            …         …..         …      0.625     18.750      276.1      38.0     5.24            4.91         129.33         119.7           1787              178.7       6.85
                                      …         …..         …      0.687     18.626      272.5      41.7     5.24            4.88         141.71         118.1           1946              194.6       6.83
                                      …         …..         …      0.750     18.500      268.8      45.4     5.24            4.84         154.20         116.5           2105              210.5       6.81
                                      60        …..         …      0.812     18.376      265.2      48.9     5.24            4.81         166.40         115.0           2257              225.7       6.79
                                      …         …..         …      0.875     18.250      261.6      52.6     5.24            4.78         178.73         113.4           2409              240.9       6.77
                                      80        …..         …      1.031     17.938      252.7      61.4     5.24            4.70         208.87         109.4           2772              277.2       6.72
                                     100        …..         …      1.281     17.438      238.8      75.3     5.24            4.57         256.10         103.4           3320              332         6.63
                                     120        …..         …      1.500     17.000      227.0      87.2     5.24            4.45         296.37         98.3            3760              376         6.56
                                     140        …..         …      1.750     16.500      213.8     100.3     5.24            4.32         341.10         92.6            4220              422         6.48
                                     160        …..         …      1.968     16.064      202.7     111.5     5.24            4.21         379.01         87.9            4590              459         6.41
                                      10        …..         …      0.250     23.500        434     18.65     6.28            6.15         63.41          188.0           1316              109.6       8.40
                                      …         …..         …      0.312     23.376        430     23.20     6.28            6.12         78.93          186.1           1629              135.8       8.38
                                      20        Std         …      0.375     23.250        425     27.83     6.28            6.09         94.62          183.8           1943              161.9       8.35
                                      …         …..         …      0.437     23.126        420      32.4     6.28            6.05         109.97         182.1           2246              187.4       8.33
                                      …         XS          …      0.500     23.000        415      36.9     6.28            6.02         125.49         180.1           2550              212.5       8.31
                      24              30        …..         …      0.562     22.876        411      41.4     6.28            5.99         140.80         178.1           2840              237.0       8.29
                    24.000            …         …..         …      0.625     22.750        406      45.9     6.28            5.96         156.03         176.2           3140              261.4       8.27
                                      40        …..         …      0.687     22.626        402      50.3     6.28            5.92         171.17         174.3           3420              285.2       8.25
                                      …         …..         …      0.750     22.500        398      54.8     6.28            5.89         186.24         172.4           3710              309         8.22
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                                  60           …..            …            0.968    22.064        382      70.0     6.28           5.78         238.11         165.8           4650            388         8.15
                                  80           …..            …            1.218    21.564        365      87.2     6.28           5.65         296.36         158.3           5670            473         8.07
                                 100           …..            …            1.531    20.938        344     108.1     6.28           5.48         367.40         149.3           6850            571         7.96
                                 120           …..            …            1.812    20.376        326     126.3     6.28           5.33         429.39         141.4           7830            652         7.87
                                 140           …..            …            2.062    19.876        310     142.1     6.28           5.20         483.13         134.5           8630            719         7.79
                                 160           …..            …            2.343    19.314        293     159.4     6.28           5.06         541.94         127.0           9460            788         7.70
                                  10           …..            …            0.312    29.376        678      29.1     7.85           7.69         98.93          293.8           3210            214        10.50
                  30              20           …..            …            0.500    29.000        661      46.3     7.85           7.59         157.53         286.3           5040            336        10.43
                30.000            30           …..            …            0.625    28.750        649      57.6     7.85           7.53         196.08         281.5           6220            415        10.39
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                    The following table gives dimensional data and weights of copper tubing used for automotive, plumbing, refrigeration, and heat
                                 exchanger services. For additional data see the standards handbooks of the Copper Development Association, Inc., the ASTM standards,
                                 and the “SAE Handbook.”
                                    Dimensions in this table are actual specified measurements, subject to accepted tolerances. Trade size designations are usually by actual
                                 OD, except for water and drainage tube (plumbing), which measures 1/8-in. larger OD. A 1/2-in. plumbing tube, for example, measures
                                 5/8-in. OD, and a 2-in. plumbing tube measures 2 1/8-in. OD.
                                                                                           OTHER MATERIALS
                                     These same dimensional sizes are also common for much of the commercial tubing available in aluminum, mild steel, brass, bronze,
                                 and other alloys. Tube weights in this table are based on copper at 0.323 lb/in3. For other materials the weights should be multiplied by the
                                                                                                                                                                                                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                 following approximate factors:
                                     1/8                 3.2       .030        0.76          A      0.003              1.9            0.012            0.017            0.033        0.035
                                    3/16                 4.76      .030        0.76          A      0.013              8.4            0.017            0.034            0.049        0.058
                                     1/4                 6.4       .030        0.76          A      0.028             18.1            0.021            0.050            0.066        0.080
                                     1/4                 6.4       .049        1.24        18       0.018             11.6            0.031            0.038            0.066        0.120
                                    5/16                 7.94      .032        0.81        21A      0.048             31.0            0.028            0.065            0.082        0.109
                                     3/8                9.53       .032        0.81        21A      0.076             49.0            0.033            0.081            0.098        0.134
                                     3/8                9.53       .049        1.24        18       0.060             38.7            0.050            0.072            0.098        0.195
                                     1/2               12.7        .032        0.81        21A      0.149             96.1            0.047            0.114            0.131        0.182
                                     1/2               12.7        .035        0.89        20L      0.145             93.6            0.051            0.113            0.131        0.198
                                     1/2               12.7        .049        1.24        18K      0.127             81.9            0.069            0.105            0.131        0.269
                                     1/2               12.7        .065        1.65        16       0.108            69.7             0.089            0.97             0.131        0.344
                                     5/8               15.9        .035        0.89        20A      0.242           156               0.065            0.145            0.164        0.251
                                     5/8               15.9        .040        1.02           L     0.233           150               0.074            0.143            0.164        0.285
                                     5/8               15.9        .049        1.24        18K      0.215           139               0.089            0.138            0.164        0.344
                                     3/4               19.1        .035        0.89        20A      0.363           234               0.079            0.178            0.196        0.305
                                     3/4               19.1        .042        1.07           L     0.348           224               0.103            0.174            0.196        0.362
                                     3/4               19.1        .049        1.24        18K      0.334           215               0.108            0.171            0.196        0.418
                                     3/4               19.1        .065        1.65        16       0.302           195               0.140            0.162            0.196        0.542
                                     3/4               19.1        .083        2.11        14       0.268           173               0.174            0.151            0.196        0.674
                                     7/8               22.2        .045        1.14           L     0.484           312               0.117            0.206            0.229        0.455
                                     7/8               22.2        .065        1.65        16K      0.436           281               0.165            0.195            0.229        0.641
                                     7/8               22.2        .083        2.11        14       0.395           255               0.206            0.186            0.229        0.800
                                      1                25.4        .065        1.65        16       0.594           383               0.181            0.228            0.262        0.740
                                      1                25.4        .083        2.11        14       0.546           352               0.239            0.218            0.262        0.927
                                    1 1/8              28.6        .050        1.27           L     0.825           532               0.176            0.268            0.294        0.655
From: The CRC Handbook of Mechanical Engineering, CRC Press, Boca Raton, FL, 1998.
                                                                         1   1/8          28.6   .065        1.65        16K     0.778            502             0.216            0.261            0.294            0.839
                                                                         1   1/4          31.8   .065        1.65        16      0.985            636             0.242            0.293            0.327            0.938
                                                                         1   1/4          31.8   .083        2.11        14      0.923            596             0.304            0.284            0.327            1.18
                                                                         1   3/8          34.9   .055        1.40           L    1.257            811             0.228            0.331            0.360            0.884
                                                                         1   3/8          34.9   .065        1.65        16K     1.217            785             0.267            0.326            0.360            1.04
                                                                         1   1/2          38.1   .065        1.65        16      1.474            951             0.294            0.359            0.393            1.14
                                                                         1   1/2          38.7   .083        2.11        14      1.398            902             0.370            0.349            0.393            1.43
                                                                         1   5/8          41.3   .060        1.52           L    1.779           1148             0.295            0.394            0.425            1.14
                                                                         1   5/8          41.3   .072        1.83          K     1.722           1111             0.351            0.388            0.425            1.36
                                                                             2            50.8   .083        2.11        14      2.642           1705             0.500            0.480            0.628            1.94
                                                                         3   1/8          79.4   .090        2.29          L     6.81            4394             0.950            0.771            0.818            3.33
                                                                         3   1/8          79.4   .109        2.77        12K     6.64            4284             1.034            0.761            0.818            4.00
                                                                         3   5/8          92.1   .100        2.54          L     9.21            5942             1.154            0.897            0.949            4.29
                                                                         3   5/8          92.1   .120        3.05        11K     9.00            5807             1.341            0.886            0.949            5.12
                                                                         4   1/8         104.8   .110        2.79          L    11.92            7691             1.387            1.022            1.080            5.38
                                                                         4   1/8         104.8   .134        3.40        10K    11.61            7491             1.682            1.009            1.080            6.51
                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
From: The CRC Press Handbook of Mechanical Engineering, CRC Press, Boca Raton, FL, 1998.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
From: The CRC Press Handbook of Mechanical Engineering, CRC Press, Boca Raton, FL, 1998.
                                                                      From: The CRC Press Handbook of Mechanical Engineering, CRC Press, Boca Raton, FL, 1998.
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                  Appendix B
                                                                  Properties of Gases and Liquids
                                                                    TABLE B.1 Combustion Data for Hydrocarbons*
* Based largely on: Gas Engineers’ Handbook, American Gas Association, Inc., Industrial Park, 1967.
REFERENCES
                                                                        American Institute of Physics Handbook, 2nd ed., D.E. Gray, Ed., McGraw-Hill Book Company, NY, 1963.
                                                                        Chemical Engineer’s Handbook, 4th ed., R.H. Perry, C.H. Chilton, and S.D. Kirkpatrick, Eds., McGraw-Hill Book Company,
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                    NY, 1963.
                                                                        Handbook of Chemistry and Physics, 53rd ed., R.C. Weast, Ed., The Chemical Rubber Company, Cleveland, OH, 1972;
                                                                    gives the heat of combustion of 500 organic compounds.
                                                                        Handbook of Laboratory Safety, 2nd ed., N.V. Steere, Ed., The Chemical Rubber Company, Cleveland, OH, 1971.
                                                                        Physical Measurements in Gas Dynamics and Combustion, Princeton University Press, 1954.
                                                                    Note: For heating value in J/kg, multiply the value in Btu/lbm by 2324. For flame speed in m/s, multiply the value in ft/s by 0.3048.
                                                                    From: The CRC Press Handbook of Mechanical Engineering, CRC Press, Boca Raton, FL, 1998.
                                                                                                                                     715
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                                                                   Source: Adapted from Wark, K. 1983. Thermodynamics, 4th ed. McGraw-Hill, New
                                                                     York, as based on JANAF Thermochemical Tables, NSRDS-NBS-37, 1971;
                                                                     Selected Values of Chemical Thermodynamic Properties, NBS Tech. Note 270-3,
                                                                     1968; and API Research Project 44, Carnegie Press, 1953.
                                                                   From: The CRC Handbook of Thermal Engineering CRC Press, Boca Raton, FL, 2000.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                     *Condensed and computed from: Tables of Thermal Properties of Gases, National Bureau of Standards Circular 564, U.S. Government
                                      Printing Office, November 1955.
                                     From: The CRC Press Handbook of Thermal Engineering, CRC Press, Boca Raton, FL, 2000.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                TABLE B.3 (continued) Properties of Dry Air at Atmospheric Pressure
                                        TABLE B.4       Chemical, Physical, and Thermal Properties of Gases: Gases and Vapors, Including
                                        Fuels and Refrigerants, English and Metric Units
                                        Note: The properties of pure gases are given at 25°C (77°F, 298 K) and atmospheric pressure (except as stated).
                                        From: The CRC Press Handbook of Thermal Engineering, CRC Press, Boca Raton, FL, 2000.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                    TABLE B.4 (continued) Chemical, Physical, and Thermal Properties of Gases: Gases and Vapors,
                                    Including Fuels and Refrigerants, English and Metric Units
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        TABLE B.4 (continued) Chemical, Physical, and Thermal Properties of Gases: Gases and Vapors,
                                        Including Fuels and Refrigerants, English and Metric Units
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                          TABLE B.4 (continued) Chemical, Physical, and Thermal Properties of Gases: Gases and Vapors,
                                                                          Including Fuels and Refrigerants, English and Metric Units
                        --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                        TABLE B.4 (continued) Chemical, Physical, and Thermal Properties of Gases: Gases and Vapors,
                                        Including Fuels and Refrigerants, English and Metric Units
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                    TABLE B.4 (continued) Chemical, Physical, and Thermal Properties of Gases: Gases and Vapors,
                                    Including Fuels and Refrigerants, English and Metric Units
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                          Appendix C
                                                                          Common Conversions
                                                                           1 Btu =                  252.0 cal                                        1 in. =                     2.540 cm
                                                                                                    1055 J                                                                       25.40 mm
                                                                           1 Btu/ft3 =              0.00890 cal/cm3                                  1J=                         0.000948 Btu
                                                                                                    0.0373 MJ/m3                                                                 0.239 cal
                                                                           1 Btu/hr =               0.0003931 hp                                                                 1 W/sec
                                                                                                    0.2520 kcal/hr                                   1 kcal =                    3.968 Btu
                                                                                                    0.2931 W                                                                     1000 cal
                                                                           1,000,000 Btu/hr =       0.293 MW                                                                     4187 J
                                                                           1 Btu/hr-ft2 =           0.003153 kW/m2                                   1 kcal/hr =                 3.968 Btu/hr
                                                                           1 Btu/hr-ft-°F =         1.730 W/m-K                                                                  1.162 J/sec
                                                                           1 Btu/hr-ft2-°F =        5.67 W/m2-K                                      1 kcal/m3 =                 0.1124 Btu/ft3
                                                                           1 Btu/lb =               0.5556 cal/g                                                                 4187 J/m3
                                                                                                    2326 J/kg                                        1 kg =                      2.205 lb
                                                                           1 Btu/lb-°F =            1 cal/g-°C                                       1 kg/hr-m =                 0.00278 g/sec-cm
                                                                                                    4187 J/kg-K                                                                  0.672 lb/hr-ft
                                                                           1 cal =                  0.003968 Btu                                     1 kg/m3 =                   0.06243 lb/ft3
                                                                                                    4.187 J                                          1 kW =                      3413 Btu/hr
                                                                           1 cal/cm2-sec =          3.687 Btu/ft2-sec                                                            1.341 hp
                                                                                                    41.87 kW/m2                                                                  660.6 kcal/hr
                                                                           1 cal/cm-sec-°C =        241.9 Btu/ft-hr-°F                               1   kW/m2 =                 317.2 Btu/hr-ft2
                                                                                                    418.7 W/m-K                                      1   kW/m2-°C =              176.2 Btu/hr-ft2-°F
                                                                           1 cal/g =                1.80 Btu/lb                                      1   lb =                    0.4536 kg
                                                                                                    4187 J/kg                                        1   lb/ft3 =                0.0160 g/cm3
                                                                           1 cal/g-°C =             1 Btu/lb-°F                                                                  16.02 kg/m3
                                                                                                    4187 J/kg-K                                      1   lbm/hr-ft =             0.413 centipoise
                                                                           1 centipoise =           2.421 lbm/hr-ft                                  1   m=                      3.281 ft
                                                                           1 cm2/sec =              100 centistokes                                  1   mm =                    0.03937 in.
                                                                                                    3.874 ft2/hr                                     1   m2/sec =                10.76 ft2/sec
                                                                           1 ft =                   0.3048 m                                         1   mton =                  1000 kg
                                                                           1 ft2/sec =              0.0929 m2/sec                                                                2205 lb
                                                                           1 g/cm3 =                1000 kg/m3                                       1 MW =                      3,413,000 Btu/hr
                                                                                                    62.43 lb/ft3                                                                 1000 kW
                                                                                                    0.03613 lb/in.3                                  1 therm =                   100,000 Btu
                                                                           1 hp =                   33,000 ft-lb/min                                 1W=                         1 J/sec
                                                                                                    550 ft-lb/sec                                    1 W/m-K =                   0.5778 Btu/ft-hr-°F
                                                                                                    641.4 kcal/hr
                                                                                                    745.7 W
TEMPERATURE CONVERSIONS
From: Baukal, C.E., Heat Transfer in Industrial Combustion, CRC Press, Boca Raton, FL, 2000.
                                                                                                                                             725
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                                        Glossary
                                        3 “T”s: Time, Temperature, Turbulence                                    calorie: the amount of energy required to raise the tem-
                                        5 “M”s: Meter, Mix, Maintain, Mold, Minimize                                   perature of 1 gram of water by 1°C. The kilocalorie
                                        absolute pressure: the pressure measured relative to a                         (kcal) is a typical unit of measure in the process
                                              perfect vacuum. Absolute pressures are always pos-                       industry, 1 kcal = 1000 calories.
                                              itive. The British units for absolute pressure are psia.           combustion: the rapid reaction of fuel and oxidant (usu-
                                        atmospheric pressure: the force exerted per unit area by                       ally oxygen in air) to produce light, heat, and noise.
                                              the atmospheric gases at the earth’s surface. Atmo-                      Major products of combustion for hydrocarbon fuels
                                                                                                                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                              spheric pressure varies with altitude. At sea level it                   (e.g., natural gas, refinery gas, fuel oils) are carbon
                                              is about 14.7 pounds per square inch. At one mile                        dioxide (CO2) and water vapor (H2O). Trace products
                                              above sea level, it is about 12.2 pounds per square                      include carbon monoxide (CO) and nitrogen oxides
                                              inch.                                                                    (NO and NO2), which are pollutants.
                                        atomization: the process whereby a volume of liquid is                   combustion efficiency: the fraction of carbon in the fuel
                                              converted into a multiplicity of small drops. The                        that is converted to CO2 in the flue gas, customarily
                                              principal goal is to produce a high surface area to                      expressed as a percent.
                                              mass ratio so that the liquid will vaporize quickly                conduction: the transfer of heat by molecular collision.
                                              and thus be susceptible to combustion.                                   This process is more efficient in metals and other
                                        atomizer: part of an oil gun which breaks up the fuel oil                      thermal “conductors” and poorer in fluids and insu-
                                              flow into tiny particles by both mechanical means                        lators such as refractories.
                                              and the use of an atomizing medium. The oil and
                                                                                                                 convection: the transfer of heat or mass by large scale
                                              atomizing medium mix together in the atomizer and
                                                                                                                       fluid movements. When the process occurs due to
                                              then flow to the oil tip to be discharged into the
                                                                                                                       density and temperature differences, it is termed
                                              furnace.
                                                                                                                       natural convection. When the process occurs due to
                                        audible sound: vibrations in a gas, liquid, or solid with
                                                                                                                       external devices (such as fans), it is termed forced
                                              components falling in the frequency range of 16 Hz
                                                                                                                       convection.
                                              to 20 kHz.
                                                                                                                 convection section: the part of a furnace between the
                                        beta ratio (β): for a single orifice the beta ratio is the ratio
                                                                                                                       radiant section and the stack. The area is filled with
                                              of the orifice bore diameter to that of the upstream
                                                                                                                       tubes or pipes which carry a process stream and
                                              pipe diameter. However, since in burner designs typ-
                                                                                                                       which absorb heat via convection heat transfer from
                                              ically there is more than one orifice at a riser pipe
                                                                                                                       the hot gases passing through the area on their way
                                              exit, the beta ratio is equal to the square root of the
                                                                                                                       out the stack. The convection section forms an
                                              ratio between the total area of the fuel ports to that
                                                                                                                       obstacle to the combustion gas flow and can greatly
                                              of the upstream pipe area.
                                                                                                                       affect furnace draft in the radiant section of the
                                        Btu (British Thermal Unit): standard measure of energy
                                                                                                                       furnace.
                                              in the British unit system. 1 Btu is the amount of
                                              heat required to raise the temperature of liquid water             dB(A): “A” weighted average of the sound pressure levels
                                              by 1°F.                                                                  over the entire frequency band. Intended to be a
                                        burner: a device which combines fuel and air in proper                         more accurate representation of how a human hears
                                              proportions for combustion and which enables the                         the sound.
                                              fuel–air mixture to burn stably to give a specified                Decibel: unit of sound pressure or power. Abbreviation is
                                              flame size and shape.                                                    ‘dB’. 1W of sound power is equal to 120 dB. A
                                        burner block: also called “burner tile,” “muffler block,”                      Log10 scale relates the unit of Watts and dB. Con-
                                              or “quarl.” The specially formed refractory pieces                       sequently, an increase or decrease of 10 W equates
                                              which mount around the burner opening inside the                         to a 10 dB difference, while a change of 100W
                                              furnace. The burner block forms the burner’s airflow                     equates to a 20 dB difference.
                                              opening and helps stabilize the flame.                             decibel (dB): unit of measure for sound pressure level.
                                        burner capacity: amount of heat release a burner can                           Developed by Bell Laboratories.
                                              deliver (i.e., amount of fuel which can be completely              diffusion (raw gas) flame: combustion state controlled by
                                              burned through a burner) at a given set of operating                     mixing phenomena. Fuel and air diffuse into one
                                              conditions.                                                              another until a flammable mixture ratio is achieved.
                                                                                                          727
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              emissivity: the efficiency with which a material radiates thermal        heat liberation: amount of heat released during combustion of
                    energy, expressed as a fraction between 0 and 1.                          fuels. One of the criteria for determining what burner to
              excess air: the amount of air needed by a burner which is in                    use in an application. (Also called heat release.)
                    excess of the amount required for perfect or stoichiometric        Higher Heating Value (HHV): the theoretical heat the com-
                    combustion. Some amount of excess air, depending on the                   bustion process can release if the fuel and oxidant are
                    available fuel/air mixing energy, is required to assure thor-             converted with 100% efficiency to CO2 and liquid H2O.
                    ough mixing of the fuel and air for complete combustion.           ignition temperature: the temperature required to initiate
              flame speed: the rate at which a flame can propagate in a com-                  combustion.
                    bustible mixture. If the flame speed is lower than the speed       laminar flow: very smooth flow in which all the molecules
                    of the reacting flow, the flame may lift off the burner. If               are traveling in generally the same direction. For internal
                    the flame speed is higher than the speed of the reacting                  flows, it occurs at Reynolds numbers less than 2000.
                    flow the flame may flash back into the burner.                     lift-off: this condition occurs when the fuel or fuel/air mixture
              flammability limits (upper and lower): the upper and lower                      velocity is too high, thus allowing the fuel to exit the
                    bounds of the fuel/air mixture which will support combus-                 stabilizing zone before it has achieved its ignition
                    tion. The upper flammability limit indicates the maximum                  temperature.
                    fuel concentration in air that will support combustion. The        Lower Heating Value (LHV): the theoretical heat the combus-
                    lower flammability limit indicates the minimum fuel con-                  tion process can release if the fuel and oxidant are con-
                                                                                                                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                    centration in air that will support combustion. Outside these             verted with 100% efficiency to CO2 and H2O vapor. The
                    bounds the mixture does not burn.                                         process industries generally prefer to use LHV.
              flashback: phenomenon occurring only in pre-mix gas burners              mixer: the part of a pre-mix burner (also “Gas–Air Mixer”)
                    when the flame speed overcomes the gas–air mixture flow                   which uses the kinetic energy of the high velocity fuel gas
                    velocity exiting the gas tip. The flame rushes back to the                stream to draw in part or all of the air required by the
                    gas orifice and can make an explosive sound when flash-                   burner for combustion.
                    back occurs. Flashback is most common when hydrogen                noise: any undesirable sound.
                    is present in fuel gas.                                            normal cubic meter (Nm3): the quantity of a gas that is present
              flashing: the process whereby a drop in pressure or increase in                 in 1 m3 at the thermodynamic conditions of 1 atm and 0°C.
                    temperature causes vaporization.                                          For an ideal gas there are 22.41 Nm3 in 1 kmol.
              fuel NOx: NOx that is formed from nitrogen that is organically           NOx: any combination of nitrogen and oxygen in a compound
                    bound to the fuel molecule. Fuel NOx is most often a prob-                form. The most common in terms of environmental con-
                    lem with liquid fuel or coal firing. Once the nitrogen has                siderations is NO, which constitutes 90% of combustion
                    been cracked from the fuel molecule, the mechanism follows                NOx emissions, and NO2. All NO is eventually converted
                    basically the same path as the prompt NOx mechanism.                      to NO2 in the atmosphere. Hence, most regulations are
              furnace arch: uppermost part of a radiant furnace (also called                  written to assume that the NOx which is emitted is in the
                    the “Bridgewall,” a term which came from the original                     form of NO2. NOx emissions are influenced by many
                    furnace designs and has remained in use). The last area in                factors, including furnace temperature, flame temperature,
                    an upflow furnace before the convection section.                          burner design, combustion air temperature, nitrogen con-
              furnace draft: the negative air pressure generated by buoyancy                  tent of liquid fuels, ammonia content of gas fuels, and
                    of hot gases inside a furnace. The temperature difference                 other factors.
                    between gases within the furnace and in the atmosphere             oil block: usually a monolithic block located at the center of a
                    along with furnace and stack height basically determine                   burner assembly. The oil block acts to stabilize the oil
                    the amount of draft generated by a furnace. Draft is                      flame. (Also call the “Oil Tile”)
                    generally measured in negative inches of water column              oil gun: the assembly of parts in a burner which provides atom-
                    (“-w.c.”; 27.7 inches w.c. = 1 psig).                                     ized fuel oil mixture to the furnace for burning.
              furnace or fired heater: a piece of process equipment which is           oil tip: part of the oil gun which discharges the atomized fuel
                    used to heat any of the various process streams in refineries             oil mixture into the furnace through multiple openings.
                    and chemical plants. Furnaces most commonly utilize                       The hole pattern in the tip has a great effect on the flame
                    direct combustion of fuels to generate the required heat.                 size and shape.
              gage pressure: the pressure measured relative to the local atmo-         orifice discharge coefficient (Cd): the ratio of the actual flow
                    spheric pressure. Gage pressure may be negative. A neg-                   through an orifice to that of the theoretical or isentropic
                    ative gage pressure is known as a suction or vacuum.                      flow through the orifice. Basically, this parameter is a
              gas tip: the part of a burner which discharges the gas fuel via                 measure of the orifice efficiency. Values are dimensionless
                    one or more openings into the furnace. The size, arrange-                 and range from 0.61 for a thin-plate orifice to 0.85 for
                    ment, and angular disposition of the openings in the tip                  thick-plate square-edged orifices, and up to 0.90–0.95 for
                    have a major effect on the size and shape of the flame.                   tapered orifices.
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Glossary 729
                   PAH (polycyclic aromatic hydrocarbons): the carcinogenic                       sound frequency: the number of pressure waves that pass by
                          byproducts of some very sub-stoichiometric combustion                        in a given time. Hertz is the unit of frequency. One wave
                          processes. Usually absent in process burner flames.                          per second is one Hertz.
                   particulates: the residue left over from coal and fuel oil                     sound power level: the intensity of the sound given off in all
                          combustion.                                                                  the directions at the source.
                   Pascals: a unit of pressure. One Pascal (Pa) is equal to a force               sound pressure level: a measure of the acoustical “disturbance”
                          of one Newton per square meter.                                              produced at a point removed from the source.
                   pre-mixed flame: before ignition, the fuel and air are intimately              sound wave: a wave moving at the speed of sound in a given
                          mixed. The combustion process is controlled by heat con-                     medium.
                          duction and diffusion of radicals.
                                                                                                  SSU (seconds, Saybolt Universal): units of kinematic viscosity.
                   pressure, gas: the force exerted per unit area on a surface cre-
                          ated by the collision of gas molecules with that surface.               stack: the “chimney” or “flue” of a furnace. The stack contains
                   pressure, static: the pressure of a gas measured at a point where                    the damper which controls furnace draft.
                          the gas velocity is zero.                                               stack loss: the fraction of total heat which exits with the flue
                   pressure, total: the sum of the static pressure and the velocity                     gas through the stack. The quantity is customarily
                          pressure of a gas.                                                            expressed as a percent of the total heat input. The stack
                   pressure, velocity or dynamic: the pressure of a flowing gas                         loss is directly proportional to the stack exit temperature;
                          attributed to the impact of the gas molecules resulting                       the higher the temperature, the greater the stack loss.
                          from the velocity of the gas flow. PV = ρV2/2gc, where ρ                staged air: NOx reduction technique predominantly used for
                          is the density of the flowing gas, V is the velocity, and gc                  fuel oil firing. The fuel is injected into a fuel-rich primary
                          is the gravitational constant.                                                zone. This stoichiometry helps to control the fuel NOx
                   prompt NOx: NOx formed at the initial stages of combustion                           mechanism. When firing gas, staged air produces higher
                          that can not be explained by either the thermal mechanism                     NOx emissions than staged fuel.
                          or the fuel NOx mechanism. The prompt NOx mechanism                     staged fuel: NOx reduction technique whereby a small portion
                          requires the CH radical as an intermediate, so the fuel must                  of the fuel is injected in a lean primary combustion zone.
                          have carbon present to create prompt NOx (see Chapter 6).                     The flue products from this region flow to the secondary
                   radiant section: the part of a process heater into which the                         combustion zone where the remainder of the fuel is burned
                          burners fire. Tubes mounted in this area of the furnace                       out. The lengthening of the flame creates cooler flame
                          receive heat principally via direct radiation from both                       temperatures, thus lowering the thermal NOx.
                          burner flames and furnace refractory. Physical volume                   standard cubic foot (SCF): the quantity of a gas that is present
                          arrangement of the radiant section has a great effect on                     in 1 ft3 at the thermodynamic conditions of 14.696 psia
                          burner choice and required flame patterns.                                   and 60°F. For an ideal gas there are 379.7 SCF in 1 lb-mol.
                   radiation: all warm bodies emit light (electromagnetic radiation               steam quality: the fraction of saturated steam that is in the vapor
                          – mostly infrared). When this radiation is absorbed or                       state.
                          emitted by a body, heat is transferred and termed “heat
                          transfer by radiation.” Such heat transfer requires a line of           theoretical flame temperature (adiabatic flame temperature):
                          sight (view factor) and is proportional to the fourth power                   the temperature the flame can achieve if it transfers no
                          of the absolute temperature difference between bodies and                     heat to its surroundings.
                          the emissivity of the bodies (see Chapter 3).                           thermal conductivity: the ability of a material to conduct heat,
                   ratio of specific heats (k): also known as the isentropic coeffi-                   expressed as thermal power conducted per unit tempera-
                          cient. Is equal to the quotient of the heat capacity at con-                 ture and thickness. Metals and other thermal “conductors”
                          stant pressure and the heat capacity at constant volume                      have a large thermal conductivity. Refractories and other
                          (Cp/Cv). This parameter is tabulated for many pure com-                      thermal “insulators” have a low thermal conductivity.
                          ponents at standard conditions, but is technically depen-               thermal efficiency: the fraction of total heat input absorbed by
                          dent on the gas composition and temperature. The values                      the material being heated. The quantity is customarily
                          are dimensionless and range from 1.0 to 1.6.                                 expressed as a percent.
                   sonic flow: when the flow velocity is equal to the speed of sound.             thermal NOx: NOx formed via the Zeldovich mechanism. The
                          The point at which the flow turns sonic is called the critical               rate limiting step in this mechanism is the formation of
                          pressure. This transition occurs at about 12.2 psig for                      the O radical. This occurs only at high temperatures (above
                          natural gas at 60°F.
                      --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              thermo acoustic efficiency: equal to the sound power level/heat        velocity thermocouple (suction pyrometer): a device for mea-
                   release. A value used to characterize the amount of com-                suring furnace gas temperature. It is comprised of a
                   bustion noise emitted from a flame. Defined as the ratio                thermocouple which has been recessed into an insulating
                                                                                                                                                                 --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                   of the acoustical power emitted from the flame to the total             shroud, and a suction device such as an eductor which
                   heat release of the flame. Approximately equal to 1 × 10–6              aspirates large volumes of furnace gas through the shroud
                   for premixed and turbulent flames and equal to 1 × 10–9                 and past the thermocouple. The high velocity of gas
                   for diffusion and laminar flames.                                       ensures good convective heat transfer to the thermocou-
              tramp air: any air which enters (infiltrates) the furnace through            ple. The shroud blocks radiant exchange between the ther-
                   leaks. This air may be measured by the O2 analyzer and                  mocouple and the surrounding furnace. The velocity
                   often contributes to the burning of the fuel.                           thermocouple represents the most accurate means to mea-
              turbulent flow: characteristically random flow patterns that                 sure flue gas temperature. Bare thermocouples are unac-
                   form eddies from large to small scales. For internal flows,             ceptable for this purpose, being in error often by more
                   it occurs at Reynolds numbers greater than 4000. Turbu-                 than 100°F due to radiation losses.
                   lence is integral to the mixing process between the fuel          view factor: the fraction of one surface that is visible to another
                   and air for combustion.                                                 (see Chapter 3).
              UHC: any unburned hydrocarbon that is emitted in a combustion          Watt: unit of measure for power, equal to 1 Joule of energy per
                   process. Also termed VOC (volatile organic compound).                   second.
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Index
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
--`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                  Index
                                                                  A                                                 heating, 524                                              ANOVA, see Analysis of variance
                                                                                                                    infiltration, 601                                         ANSI, see American National Standards
                                                                  Absolute viscosity, 119, 122
                                                                                                                    leaks, 494                                                          Institute
                                                                  Accident, factors contributing to, 328
                                                                                                                    low excess, 200                                           APH, see Air preheater
                                                                  ACERC, see Advanced Combustion
                                                                                                                    metering, 356                                             API, see American Petroleum Institute
                --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                      733
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                                                                                                                                                                                       --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                 utility, 549, 572                                    CFD simulation of, 306                                            manufacturers, 111, 262
                 watertube, 649                                       combination, 418, 482, 643                                        materials, 369
              Boiler burners, 547–586                                 combustion                                                        medium pressure drop, 643
                 atomizers for boiler burners, 584–586                                                                                  mounted on top of heater, 452
                                                                           instability noise, 237
                 boiler design impacts on NOx emissions                                                                                 mounting, 451
                                                                           noise, 236
                        correlations, 553–563                                                                                           natural draft, 4, 357, 358, 480
                                                                           roar, 237
                      boiler design, 553–554                                                                                            noise
                                                                      competing priorities, 15–16
                      boiler load influence on NOx, 558–561                                                                                 abatement techniques, 242
                                                                      condition, 495
                      boiler/system condition impacts on                                                                                    curve, 231
                                                                      configuration, by heater type, 12
                        combustion and NOx formation,                                                                                       example, 244
                                                                      connection of to heater, 455
                        561–563                                                                                                         NOx, 202
                                                                      controller, 374
                      excess air, 555–558                                                                                                   example, 402
                                                                      conventional, round flame, 367
                 boiler-specific burner requirements,                                                                                       response from, 404
                                                                      COOL TECHNOLOGY, 518, 519
                        548–553                                                                                                         oil
                                                                      crude unit, 19
                      conventional burner technology for                                                                                    common, 479
                                                                      damper position, 495
                        boilers, 548–550                                                                                                    -fired, experiencing flame lift-off, 513
                                                                      design factors, 16–21                                                 needing service, 28
                      design features of low NOx burners,
                                                                      development of for petrochemical                                      troubleshooting for, 520
                        552–553
                                                                             applications, 291                                          operation, ultra-low emissions, 582
                      effects of burner retrofits on boiler
                        performance, 553                              diffusion, 25, 67, 481, 482                                       out-of-service (BOOS), 202, 573
                      low-NOx burner technology for boilers,          downfired, 369                                                    partially premixed, 25
                        550–551                                       drawing, 450                                                      performance, 459
                      staged burner design philosophy,                duct, 524, 534                                                    physical model of, 534
                        551–552                                            arrangement, 533                                             pilot, 465, 483, 514
                 current state-of-the-art concepts for multi-              drilled pipe, 536                                            piping, 453
                        burner boilers, 563–575                            fluidized bed startup, 529                                   plenum, viewing oil flame through, 174
                      combustion optimization, 563–568                     low emission, 536                                            ports, 509
                      methods to reduce NOx emissions,                eduction processes in premixed, 257                               potential problems, 27–28
                        568–575                                       elevation, 470                                                    pre-installation work, 450
                 low-NOx burners for packaged industrial              firing heavy oil, 180                                             premix, 21, 22, 480, 481
                        boilers, 575–580                              flame lift-off from, 513                                          pressure drop, 252, 260
                 ultra-low emission gas burners, 580–584              flare, 605                                                        problem, 568
                      background, 580                                 flat flame, 368                                                   radiant wall, 103, 260, 369
                      implementation of NOx formation                 forced draft, 358, 437, 439, 480                                  raw gas, 206, 357, 364, 366, 481, 482, 515
                        theory for ultra-low-NOx emissions,           free-standing flat flame, 368                                     refractory, 494, 506
                        580–581                                       fuel flows of, 67                                                 requirements, boiler-specific, 546
                      ultra-low emissions burner design,              fuel-staged, 405, 407                                             retrofits, effects of on boiler performance,
                        581–582                                       furnace combination, 111                                                 553
                      ultra-low emissions burner operation,           gas, 23                                                           role of
                        582–584                                            troubleshooting for, 519                                         in furnace, 112
              Boiling points, general fraction, 177                        typical excess air values for, 490                               in heat transfer, 110
              Bolts, standard grades of, 709, 710, 711                general burner types, 21–27                                       sound pressure level, 237
              Boltzmann constant, 88                                  geometry, 310, 405                                                staged
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Index 735
                           air, 25, 517                                      casing and refractory, 487–488                             Canadian Standards Association (CSA), 540
                           design philosophy, 551                            combination burners, 482                                   Capacity curves, 262, 263, 265
                           fuel, 26, 517, 518                                diffusion or raw gas burner, 481–482                       CARB, see California Air Resources Board
                      systems, ZTOF, 623                                     flame patterns, 483–485                                    Carbon dioxide, 99, 218
                      technology, 526                                        pilot burners, 483                                         Carbon monoxide (CO), 439, 538
                           boiler, 548                                       premix burner, 480–481                                         analyzer, 389
                           NOx, 518                                      measurements, 470–479                                              formation, 60
                      test setup, 433                                        combustion air temperature, 476                                /opacity level, 567
                      throat, 354, 455                                       draft, 470                                                     oxidation reaction, 314
                      tile                                                   excess air or excess oxygen, 471–473                       Carrier gas, ammonia in, 669
                           broken, 494                                       flue gas temperatures, 476–477                             Cartesian coordinates, 76, 134
                           ledge in, 361                                     fuel flow, 473                                             Cartesian differential equation set, 294
                           picture of showing multiple tile pieces,          fuel pressure, 473–476                                     Castable refractory, 646, 684, 689
                             454                                             fuel temperature, 476                                      Catalyst configuration, 671
                           support for, 367                                  process fluid parameters, 479                              Catalytic cracking, 5
                      tip, plots of contours of streamfunction with          process tube temperature, 477–479                          Catalytic hydrocracking, 5
                             increasing backpressure at, 322             operational considerations, 488–499                            Catalytic hydrotreating/hydroprocessing, 5
                      Todd Combustion low NOx, 578, 579                      developing startup and shutdown                            Catalytic oxidizers, 647
                                                                                                                                                                                            --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                      turndown, 425                                            procedures for fired heaters, 497–498                    Catalytic reforming, 5, 13
                      types, 21, 362                                         developing emergency procedures for                        Categorical factor, 418
                      ultra-low emissions, 580, 583                            fired heaters, 499                                       CEMs, see Continuous emissions monitors
                      ultra low-NOx, 517                                     heater operation data, 496–497                             CEN, see European Committee for
                      unmodified, 308                                        heater turndown operation, 492–493                                    Standardization
                      utility, NOx vs. load with firing natural gas          inspection and observations inside                         CENELEC, see European Committee for
                             on, 559                                           heater, 493–494                                                     Electrotechnical Standardization
                      venturi-style, 552, 558
                                                                             inspection and observations outside                        Center fire gas (CFG), 576
                      wall-fired, 15, 368
                                                                               heater, 495–496                                          Central-composite designs, 419
                      zone heat release (BZHR), 551, 554, 575
                                                                             target draft level, 488                                    Central tube wall process heater, 16
                   Burner design, 263, 351–370, 432
                                                                             target excess air level, 489–491                           Centrifugal blowers, relative characteristics of,
                      air control, 358–359
                                                                      Burner testing, 431–447                                                      673
                      air metering, 356–358
                                                                         burner test setup, 433–437                                     Ceramic temperature, 281
                           forced draft, 358
                                                                             application, 434                                           CFD, see Computational fluid dynamics
                           natural draft, 357
                                                                             test furnace selection criteria, 434–437                   CFG, see Center fire gas
                      burner types, 362–367
                                                                         instrumentation and measurements,                              Chemical
                           oil or liquid firing, 364–367
                                                                               437–442                                                      heat release, 137
                           premix and partial premix gas, 363–364
                                                                             emissions analysis, 438–441                                    industry, major fired heater applications in,
                           raw gas or nozzle mix, 364
                                                                             flame dimensions, 441                                                 14
                      combustion, 352–353
                                                                             fuel flow rate metering, 441                                   manufacturing process, by-products of, 63
                      final, 312
                                                                             furnace gas temperature measurement,                           process industry (CPI), 288, 361
                      fuel metering, 353–356
                           gas fuel, 353–354                                   438                                                          reaction(s)
                           liquid fuel, 354–356                              heat flux, 442                                                     global, 204
                      ignition, 360–361                                      measuring air-side pressure and                                    modeling of, 252
                      initial, 312                                             temperature, 437–438                                         reactors, idealized, 258
                      materials selection, 369–370                       test matrix, 442–444                                           Chemical Manufacturers Association (CMA),
                      mixing fuel/air, 359–360                               definition of data to be collected, 444                               630
                           co-flow, 360                                      heater operation specifications, 442                       Chemiluminescent analyzer, 197
                           cross-flow, 360                                   performance guarantee specifications,                      CHEMKIN, 125, 258
                           entrainment, 360                                    442–443                                                  Chlorinated hydrocarbons, 309
                           flow stream disruption, 360                Burning                                                           Chloroform, 216
                      mounting and direction of firing, 367–369          points, division of incoming gas stream into,                  Choked flow, 147, 275
                           conventional burner, round flame,                   609                                                          mass flux, 275
                             367–368                                     smokeless, 603                                                     test rig, 147
                           downfired, 369                                velocity, 296                                                  Circles, areas and circumferences of, 693–701
                           flat flame burner, 368                     Butane lighter, shadow photograph of burning,                     Clean Air Act Amendments, 631
                           radiant wall, 369                                   236                                                      CMA, see Chemical Manufacturers Association
                      patterned and controlled flame shape,           Butylene dehydrogenation, 14                                      CMC, see Conditional moment closure
                             361–362                                  BZHR, see Burner zone heat release                                CO, see Carbon monoxide
                      problems, 27                                                                                                      Coal, 72
                      pollutants, 362                                                                                                   Coking, 11, 13, 462
                      ultra-low emissions, 581                                                                                          Cold flow furnace, 264
                   Burner/heater operations, 469–499                  C                                                                 Colebrook formula, 151
                      heater and appurtenances, 479–488               Cabin heater, 16, 18, 28                                          Collecting surface area, 659
                           air flow control, 480                      Calcium chloride, dehydration with, 158                           Combination burners, 418, 482, 643
                           burner block valves, 485–487               California Air Resources Board (CARB), 197                        Combustible waste gas streams, 160
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Index 737
                  noise, 443                                          Excess air, 471, 555                                               excess oxygen level within, 504
                  NOx, high, 515                                         empirical evidence of effect of on NOx, 556                     good flame within, 486
                  particulate, 442                                       level, 489                                                      temperature, effect of on NOx, 515
                  pollutant, 432                                         species concentration vs., 39                                   very bad flame pattern in, 486
                  regulations, 111                                       stoichiometric ratio and, 38                                Fired heater(s), 9–15
              Emissivity(ies)                                         Excess oxygen, 471                                                 applications, in chemical industry, 14
                  of carbon dioxide, 99                               Expansion joints, 455                                              design, 70
                  for various surfaces, 100                           Experimental fluid dynamics, 288                                   developing emergency procedures for, 499
                  of water vapor, 99                                  Explosion(s)                                                       developing startup and shutdown procedures
              Enclosed flares, 241, 622                                  ethylene oxide plant, 343                                              for, 497
              Endwall fired burner arrangement, 20                       furnace, 336                                                    major refinery processes requiring, 13
              Energy                                                     hazards, 334                                                    process heaters, 11–15
                  conservation of, 134, 137, 275, 289                    piping, 335                                                     reformers, 10–11
                  conversion, 608                                        potential dangers caused by, 328                                tube rupture in, 332
                    --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Index 739
                       temperature, 61, 101                                modeling of air-assisted, 270                                      patterns, around flame stabilizer, 537
                           adiabatic, 46                                   multi-point, 592                                                   pulsating, 620
                           reduction, 559                                  noise                                                              quasi-one-dimensional isentropic, 145
                       transfer of heat from, 58                                abatement techniques, 239                                     rate, FGR, 571
                       unstable, 494                                            effect of distance on, 246                                    reversal, 658
                       visible, 604                                             level, engineer measuring, 235                                stream disruption, 360
                   Flameholder, 534                                        non-smoking, 267                                                   switches, 384
                   Flamelet, 296, 299, 300                                 offshore oil rig, 7                                                turbulent, 138
                   Flamesheet, 296                                         pilot, 614, 616                                                    types of, 138
                   Flammability                                            pressure relief vessel venting to, 131                             viscous, 290
                       characteristics, 339, 340                           self-supported, 624                                                volume equivalent of, 185
                       limits, for gas mixtures, 66                                                                                       Flowmeter, ultrasonic, 388
                                                                           single-point, 591, 593
                   Flare(s), 5, 589–634                                                                                                   Fluctuating velocity, 140
                                                                           smokeless
                       air-assisted smokeless, 610
                                                                                operation, 266                                            Flue gas(es), 72, 471
                       annular air, 275, 611
                                                                                rates, modeling of, 252                                       condition of, 653
                       applications for throughout hydrocarbon
                                                                                steam, 272                                                    cooled, 652, 668
                             industry, 590
                                                                           smoking, 267                                                       counter-current flow of, 664
                       available gas pressure at, 596
                                                                           stack, flaming liquid engulfing, 600                               drawn through U.S. EPA sampling train, 440
                       burner(s), 605
                                                                           steam, 237, 254, 268                                               flow
                           RIMFIRE®, 611, 613
                                                                                control valve on, 626                                             minimizing, 653
                           state-of-the-art Steamizer™, 610
                                                                                with steam eductor, 254                                           NOx reduction vs., 570
                       capacity, smokeless, 266
                                                                           support structures, 623                                            hot, 511, 512
                       combustion
                                                                           systems, 590–594                                                   measured pollutant concentration, 190
                           instability noise, 236
                                                                                applications, 591                                             oxygen concentration in, 425
                           roar, 234
                                                                                flare system types, 591–593                                   processing methods, 647
                       combustion products, 629–633
                           dispersion, 632–633                                  major system components, 593–594                              recirculation (FGR), 20, 22, 550
                           emissions, 631–632                                   objective of flaring, 590                                         flow distribution, improvement of to
                           reaction efficiency, 630–631                         purpose, 590                                                         burners, 565
                       controls, 624                                       tip(s)                                                                 flow level, 559
                       derrick-supported, 626                                   exit velocity, 599                                                flow rate, 571
                       design considerations, 598–605                           Zink double refractory severe service,                            hot, 568
                           air/gas mixtures, 605                                  606                                                             implementation, NOx reduction by, 568
                           air infiltration, 601                           vendors, 273, 622                                                  recycle, 668
                           flame radiation, 601–603                    Flarestack explosion, due to improper purging,                         shearing effect of high-velocity, 661
                           hydraulics, 599–600                                    336                                                         ST, 130
                           liquid removal, 600–601                     Flaring                                                                temperature, 476
                           noise/visible flame, 604                        event, 591                                                     Fluid(s)
                           reliable burning, 599                           objective of, 590                                                  absolute viscosity vs. temperature for, 122
                           smoke suppression, 603–604                  Flashback, 67, 505                                                     coking/flexicoking, 5
                       early model smokeless, 591                      Flash point, of liquid, 179                                            density, 118, 139
                       enclosed, 241, 622                              Flat flame burner, 368                                                 dynamics, theoretical, 288
                       equipment, 605–629                              Flat-shaped flame, 363                                                 flow
                           enclosed flares, 622–623                    Flexicoking waste gas, 162                                                 conservation of mass for, 135
                           flare burners, 605–614                      Flow(s)                                                                    kinetic energy of, 258
                           flare controls, 624–629                         air, balancing of by windbox model, 567                            Newtonian, 136, 292
                           flare support structures, 623–624               choked, 275                                                        packet, velocity of, 130
                           knockout drums, 618–619                         compressible, 144                                                  properties, 118
                           liquid seals, 619–620                           configuration, 644                                                 velocity profile of, flowing along solid
                           pilots, ignitors, and monitors, 614–618         control, method of, 674                                                   surface, 119
                           purge reduction seals, 620–622                  controller gains, 396                                              viscosity, 139
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              Fluid dynamics, fundamentals of, 117–154                                                    CO and unburned, 214                                                 high, 510
                  flow types, 138–148                                                                     combustion, stagewise, 572                                      pretreatment, 199
                       compressible flow, 144–148                                                         composition, 195, 205, 437, 496                                 rapid oxidation of, 641
                       turbulent and laminar flow, 138–144                                                dilution, 571                                                   refinery/chemical plant, 528
                  fluid properties, 118–128                                                               distribution, liquid, 279                                       selection of test, 434
                       density, 118                                                                       fires, diluted, 571                                             source, 344
                       equations of state, 126–128                                                        flow, 473                                                       spray, 277
                       specific heat, 125–126                                                                 balancing techniques, 567                                   -staged burner, 405, 407
                       viscosity, 119–125                                                                     rate, control signal vs., 392                               staging strategies, 291
                  fundamental concepts, 128–138                                                               rate metering, 441                                          storage tanks, test, 436
                       Bernoulli equation, 130–132                                                        free jet of, 363                                                supply, double-block-and-bleed for, 379
                       control volumes, 132–134                                                           gas, 353                                                        switching, 198
                       differential formulation, 134–138                                                      firing ports, 513                                           system preparation, 497
                       hydrostatics, 128–130                                                                  piping system, 459                                          temperature, 476
                  pressure drop fundamentals, 148–153                                                         pressure measurement, 475                                   train, 540
                       basic pressure concepts, 148–149                                                       tips, 209, 462                                                   oil, 543
                       discharge coefficient, 152–153                                                     gaseous, 18, 158–165                                                 typical main gas, 541
                       loss coefficient, 151–152                                                              combustible waste gas streams, 160–165                      typical flared gas compositions, 185–186
                       roughness, 149–151                                                                     liquefied petroleum gas, 159                                     ethylene/polyethylene gases, 186
              Fluidized bed                                                                                   molecular weights and stoichiometric                             oil field/production plant gases, 186
                  boilers, 524                                                                                   coefficients for common, 37                                   other special cases, 186
                  startup duct burner, 529                                                                    natural gas, 158–159                                             refinery gases, 186
              Fluidized catalytic cracking, 13                                                                photographs of gaseous fuel flames, 165                     valves, 380
              FM, see Factory Mutual                                                                          physical properties of, 165                             Fully metered cross limiting scheme, 392
              FMEA, see Failure modes and effect analysis                                                     refinery gases, 159–160                                 Fume incineration, 526
              Foldover, 416                                                                               gas property calculations, 183–185                          Fundamentals, 33–67
              Forced convection, 104                                                                          derived quantities, 185                                     combustion kinetics, 60–61
              Forced draft                                                                                    flammability limits, 184–185                                     fuel-bound NOx mechanism, 61
                  air preheater, 438                                                                          lower and higher heating values, 184                             prompt-bound NOx mechanism, 61
                  burners, 358, 437, 439, 480                                                                 molecular weight, 183–184                                        reaction rate, 60–61
                  ignition flame, 612                                                                         specific heat capacity, 184                                      thermal NOx formation, 60
              Formaldehyde, 216                                                                               viscosity, 185                                              conservation of mass, 35
              FORTRAN, 282                                                                                high inert composition, 359                                     equilibrium and thermodynamics, 47
                  calculation and standardized storage of                                                 hot burning, 536                                                flame properties, 61–67
                         chemical kinetic data, 258                                                       hydrocarbon-based gaseous, 528                                       available heat, 64
                  conversion of thermodynamic information                                                 injection nozzle parameters, 516                                     flame speeds, 67
                         into NASA polynomials using, 125                                                 injector spud, 530                                                   flame temperature, 61–64
              Forward tip blade operating curve, 674                                                      introduction, 640                                                    flammability limits for gas mixtures,
              Fourier number, 78                                                                          leaks, 344                                                             66–67
              Fourier transform analysis (FFT), 228                                                       liquid, 165–183                                                      minimum ignition energy, 64–66
              Fourier transform infrared (FTIR), 440                                                          high viscosity, 365                                         general discussion, 54–59
                  gas analyzer, 440                                                                           history, 165–172                                                 air preheat effects, 55–57
                  system, 440                                                                                 liquid naphtha, 179                                              fuel blend effects, 57–59
              Fractional factorials, 412, 414                                                                 oil recovery, 173–175                                       ideal gas law, 35–38
              Free jet, 142                                                                                   oils, 178–179                                               net combustion chemistry of hydrocarbons,
                  entrainment, 143                                                                            physical properties of liquid fuels,                               34–35
                  interaction with surrounding fluids, 143                                                       179–183                                                  overview of combustion equipment and heat
                  structure, 143                                                                              production, refining, and chemistry,                               transfer, 34
              Freestream velocity, 87                                                                            175–178                                                  stoichiometric ratio and excess air, 38–46
              Friction                                                                                        vaporization of, 354                                             adiabatic flame temperature, 46
                  coefficient, 86                                                                         metering, 353, 354                                                   heat of combustion, 38–45
                  factor, 84, 85, 150                                                                     mixtures, accounting for, 420                                   substoichiometric combustion, 46, 47–53
              FRP, see Fiberglass-reinforced plastic                                                      nonluminous, 18                                                 uses for combustion, 34
              FTIR, see Fourier transform infrared                                                        nozzles, 266                                                Furans, 219
              Fuel(s), 157–187                                                                            oils, 72                                                    Furnace(s)
                  /air                                                                                        piping system, heavy, 460                                   air in-leakage influence, 562
                       mixing of, 359                                                                         piping system, light, 461                                   burner combination, 111
                       ratio, horizontal imbalances of, 573                                                   temperature, 563                                            cleanliness, effect of on NOx emissions, 561
                       unbalance, vertical, 573                                                               viscosity of, 183                                           cold flow, 264
                  at ambient temperature, 61                                                              orifice-to-eductor throat diameter, 319                         cracking, 34
                  blend                                                                                   piping design, 458                                              cylindrical, radiation heat transfer in, 107
                       composition, 205                                                                   preheat temperature, 56                                         design, terrace wall, 111
                       effects, 57                                                                        pressure, 213, 473, 496                                         ethylene
                  -bound NOx mechanism, 61                                                                    drop, 443                                                        cracking, 111
                  chemical properties of, 717–722                                                             graph of heat release vs., 475
                                                                   --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                                                                                                                                                                               pyrolysis, 304, 305
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Index 741
                             test furnace for simulation of, 434               shearing effect of high-velocity, 661                        properties of dry air at atmospheric pressure,
                        explosions in, 336                                     temperature, 476                                                   715–716
                        gas, 290, 296                                     fuel, 353                                                      Gasolines, aviation, 175
                             flow patterns, 109                                capacity curve, 355                                       Gauss constant, 143
                             radiation, 105                                    train, typical main, 541                                  Gibbs function of formation, 714
                             recirculation, schematic, 201                geometries, mean beam lengths for, 100                         GLC, see Ground-level concentration
                             temperature measurement, 438                 ignition characteristics of, 340                               Glossary, 727–728
                        heat transfer, 104                                injectors, 583                                                 Gravitational body force, 136, 137
                        hot oil, 14                                       jet                                                            Gravitational constant, 130
                        hydrogen reforming, 111                                Mach number of, 238                                       Gray/diffuse surfaces, radiant exchange
                        infrared thermal image of flame in, 98                 mixing noise, 238                                                  between, 91
                        low temperature, 109                                   noise, 238, 241, 242                                      Grease, 5
                        manufacturers, 111                                kinetic theory of, 122, 126                                    Grid burner(s)
                        process, heat transfer in, 102                    lighter-than-air, 130                                             gas flame from, 531
                        reforming, 34                                     lines, pilot, 514                                                 heat distribution by, 532
                        role of burner in, 112                            mass flow rate of secondary, 253                               Ground-level concentration (GLC), 632, 683
                        source of explosions in, 337                      mixtures                                                       Guy wire-supported flare, 625
                        sulfur recovery reaction, 307                          flammability limits for, 66
                        temperature, 191                                       multi-component, 339
                        test                                                   viscosity of, 120
                             selection criteria, 434                      oil field/production plant, 186                                H
                             for simulation of down-fired tests, 435      oxygen-containing, 601                                         Halogenated hydrocarbon systems, 683
                             for simulation of up-fired tests, 435        partial premix, 363                                            Hard refractory, 645
                        /thermal oxidizer/incinerator/combustion          premix, 363                                                    Hastelloy, 685
                               chamber, 644                               pressure available, 596                                        Hazardous waste incinerators, 291
                                                                                                                                                                                             --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                        tube, 8                                           property(ies)                                                  Hearing
                        vertical tube, 104                                     calculations, 183                                            threshold of, 226
                        wall                                                   of selected, 72                                              typical range of human, 225
                             cross section of, 108                        purge, 597, 601                                                Heat, see also Heat transfer
                             heat transfer through, 108                   radiation                                                         capacity, 125, 182
                                                                               absorption and emission in, 93                               of combustion, 38
                                                                               properties, 298                                              conduction, 71
                                                                          recirculation, 20, 200                                            damage, 331
                   G                                                      refinery, 159, 186                                                exchangers, 70, 652
                   Gage                                                        comparison of to test blend, 437                             flux, 104, 442
                      pressure, 149                                            example, 437                                                 recovery
                      sizes, 707                                          simulated refinery, 39, 48                                             area (HRA), 562
                   Gas, see also Gases and liquids, properties of;        specification sheet, test procedure, 445–446                           cooling by, 648
                             Natural gas                                  stack, reheat, 526                                                     cooling without, 652
                      acid, 639, 657, 663                                 temperature, 438, 595                                                  efficiencies (HREs), 282
                      analyzer, FTIR, 440                                 tip(s), 456, 462, 641                                                  thermal oxidation system, 680
                      behavior of, 127                                         cleaning, 462                                                regenerator performance, modeling of, 252
                      burner(s), 23                                            corroded, 504                                                release, 185, 602
                           troubleshooting for, 519                       trapped purge, 621                                                     chemical, 137
                           typical excess air values for, 490             treatment, 5                                                           graph of fuel pressure vs., 475
                           typical premixed, 23                           turbine exhaust, 352, 531                                              graphical representation of, 66
                      center fire, 576                                    valve data, 392                                                Heater(s)
                      chemical properties of, 717–722                     waste, 599                                                        balanced-draft, 492
                      combustion                                          wet fuel, 160                                                     box, 17
                           data comparing single- and three-stage,     Gaseous fuel(s), 158                                                 burner mounted on top of, 452
                             574                                          flames, photographs of, 165                                       cabin, 16, 18, 28, 34
                           polynomial expression for, 125                 mixtures                                                          collapse, 499
                      composition, 54, 55, 594                                 physical constants of typical, 163                           connection of burner to, 455
                      emissivity, 96                                           volumetric analysis of, 163                                  cutout, 451
                      ethylene/polyethylene, 186                          molecular weights and stoichiometric                              cylindrical, 17
                      -fired furnaces, 290, 296                                  coefficients for common, 37                                existing, 450
                      firing, grid configuration, 527                     physical properties of, 165                                       fired, 9
                      flame(s), 104, 105, 531                          Gases and liquids, properties of, 713–722                                 developing emergency procedures for,
                      flammability characteristics of, 340                chemical, physical, and thermal properties                               499
                      flexicoking waste, 162                                     of gases, 717–722                                               developing startup and shutdown
                      flow, diverting, 619                                combustion data for hydrocarbons, 713                                    procedures for, 497
                      flue, 72, 471                                       enthalpy of formation, Gibbs function of                               major refinery processes requiring, 13
                           hot, 511, 512                                         formation, and absolute entropy of                              tube rupture in, 332
                           recirculation, 550                                    various substances, 714                                    natural-draft, logic diagram for tuning, 491
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                                                                      vapor pressures for light, 341                                         connection of burner to heater, 455–456
                 mechanisms of, 70
                                                                      viscosity vs. temperature for range of, 477                            fuel piping design, 458–459
                 in packed bed, 281
                                                                   Hydrodesulfurization, 13                                                  preparation of heater, 450
                 in process furnaces, 102
                                                                   Hydrogen                                                                  tile installation, 453–455
                 in process tube, 109
                                                                      bubble technique, 150                                             maintenance, 459–465
                 radiation, 87–102
                                                                      -to-carbon weight ratio, 165                                           air registers and dampers, 464–465
                      blackbody radiation/Planck distribution,
                                                                      cyanide, 667                                                           flame stabilizer, 463–464
                        88–90
                                                                      enrichment, 631                                                        gas tip and orifice cleaning, 462
                      equation of radiative transfer, 97–101
                                                                      production, 8                                                          oil tip and atomizer cleaning, 463
                      infrared temperature measurement,
                                                                      purification, 161                                                      pilot burners, 465
                        92–93
                                                                      reforming furnace, 111                                                 tile, 463
                      mean-beam-length method, 95–97
                                                                   Hydrostatics, 128                                                Internal flue gas recirculation (IFGR), 576, 578
                      radiant exchange between black
                        surfaces, 90–91                            Hydrotreating, 13                                                Internal mix atomizers, 584
                      radiant exchange between gray/diffuse                                                                         Internal mix twin fluid atomizer, 364, 365
                        surfaces, 91                                                                                                Internal tube fouling, 493
                      radiation in                                                                                                  International Electrochemical Commission
                        absorbing/emitting/scattering media,
                                                                   I                                                                            (IEC), 540
                        93–95                                      ICPs, see Incomplete combustion products                         Inviscid flows, 145, 290
                      radiation emitted by flame, 101–102          Ideal gas                                                        IRI, see Industrial Risk Insurers
                      view factors for diffuse surfaces, 92            equation, 127                                                Isomerization, 5
                 role of burner in, 110                                law, 35, 126, 263                                            Isotropic turbulence, 142
                 thermal conductivity, 71–82                       Idealized chemical reactors, 258
                      one-dimensional steady-state                 Identity matrix, 428
                        conduction, 73–77                          IEC, see International Electrochemical
                      transient conduction, 77–82                             Commission                                            J
              Heavy fuel oil piping system, 460                    IFGR, see Internal flue gas recirculation                        Jet(s), 142
              Heavy oils, 178, 180                                 Ignition, 360                                                        engine, flow around air intake of, 144
              Helium balloon, attached to ground, 129                  characteristics, of liquids and gases, 340                       high-pressure, 607
              HHV, see Higher heating value                            control, 342
              HIGH box, 490                                            energy, minimum, 64
              Higher heating value (HHV), 184                          flame, forced-draft, 612
              High pressure drop burner, 643                           fuel pressure, unsuccessful, 336                             K
              High-pressure flare, 244, 245                            graphical representation of, 66                              Karlovitz number, 299
              High viscosity liquid fuels, 365                         ledge, burner, 482                                           KE, see Kinetic energy
              Horizontal flares, 592                                   pilot, 615, 640                                              Ketones, 216
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Index 743
                                                                       combustion in process industries, 9                  oil gun development, 277–280                                           Computational fluid dynamics based
                                                                       process industries, 9                                overview, 252                                                          combustion modeling
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                eductors, 252                                                                    Newton’s law of cooling, 82, 281                                        fan noise abatement techniques, 243
                flare smokeless rates, 252                                                       Newton’s second law, 137, 289                                           flare noise abatement techniques,
                heat regenerator performance, 252                                                NFPA, see National Fire Protection Association                             239–242
                oil gun performance and improvement, 252                                         Nitric oxide (NO), 438                                                  valve and piping noise abatement
                physical, 534                                                                    Nitrobenzene, 667                                                          techniques, 243
                sample results of simplified, 261                                                Nitrogen oxides (NOx), 38, 191                                      analysis of combustion equipment noise,
                steam flare eduction, 254                                                            analyzer, 389                                                          243–246
              Molar ratios, for combustion reactions, 37                                             boiler load influence on, 558                                       high-pressure flare, 244–246
              Molecular weight, 183                                                                  burner(s)                                                           multiple burner interaction, 243–244
              Molten salt system, 687                                                                    low, 202                                                    burner combustion, 236, 237
              Molten substances, 342                                                                     technology, 518                                             combustion
              Momentum                                                                               control                                                             equipment, 243
                conservation, 133, 253, 275                                                              methods, 666                                                    instability, 234
                equation, 142                                                                            technique, reduction efficiencies for, 198                  contributions, based on mathematical model,
                flux normal to control surface, 255                                                      technologies, in process heaters, 199                              245
              Monitors, 614                                                                          degree of power functional, 559                                 emissions, 443
              Monte Carlo method, 297                                                                effect of boiler design on, 554                                 exposures, OSHA permissible, 234
              Moody diagram, 151                                                                     effect of bound nitrogen in liquid fuel on,                     fan, 237
              Motorboating, when firing oil, 512                                                           516                                                       flare combustion instability, 236
              MPR, see Minutes per repeat                                                            effect of burner model on, 516                                  fundamentals of sound, 224–231
              MS, see Mean squares                                                                   effect of firebox temperature on, 515                               basics of sound, 224–228
              MSD, see Mass selective detector                                                       emission(s), 61                                                     measurements, 228–231
              MSR, see Mean square residual                                                              correlations, boiler design impacts on,                     gas jet, 238, 242
              Muffler elbow, 265                                                                           553                                                       glossary, 246–248
              Multi-burner boilers, 559                                                                  effect of furnace cleanliness of, 561                       industrial noise pollution, 231–234
              Multiple burner interaction, 243                                                           factors, for typical process heaters, 193                       international requirements, 232–233
              Multi-point flares, 592                                                                    fuel composition effects on, 211                                noise sources and environment
              Municipal solid waste boiler, 413                                                          high, 515                                                          interaction, 234
              MV, see Manipulated variable                                                               methods to reduce, 568                                          OSHA requirements, 232
                                                                                                         test data, 577                                              mechanisms of industrial combustion
                                                                                                         theory for ultra-low-, 580                                         equipment noise, 234–239
                                                                                                         from ultra-low emissions burner, 584                            combustion roar and combustion
              N                                                                                      empirical evidence of effect of excess air on,                         instability noise, 234–237
              Naphtha                                                                                      556                                                           fan noise, 237–238
                 distillation curve, 181                                                             formation, 60                                                       gas jet noise, 238–239
                 liquid, 179                                                                             excess O2 influence on, 556                                     valve and piping noise, 239
              NASA                                                                                       fundamentals, 581                                           meter, schematic of, 228
                 equilibrium code, 126                                                                   prompt-, 61                                                 pollution, 231, 234
                 nozzle performance data, 253                                                            thermal, 60                                                 radiating from valve, 240
                 polynomials, 125                                                                    fuel-bound nitrogen, 537                                        reduction plenum, 451
              National Electrical Code (NEC), 338, 379, 540                                          as function of burner geometry, 405                             screech, 245
              National Fire Protection Association (NFPA),                                           generation, with firing natural gas, 555                        shock-associated, 238
                        338, 379, 675                                                                important factors affecting, 192                                /visible flame, 604
              Natural draft                                                                          influence of oxygen on, 408                                  Nonluminous flame, photographic view of from
                 burner, 4, 357, 358, 4, 480                                                         mechanism, fuel-bound, 61                                              John Zink gas burner, 102
                 gas burner, 27                                                                      minimization, 688                                            Non-smoking flares, 267
                 heater, logic diagram for tuning, 491                                               municipal solid waste boiler using ammonia                   Normal forces, 136, 137
              Natural gas, 18, 72, 158, 528                                                                injection to control, 413                              NOx, see Nitrogen oxides
                 components, commercial, 159                                                         predictions, improving, 319                                  Nozzle mix burner, 364
                 example pipeline quality, 158                                                       reduction, 565                                               Null hypothesis, 409
                 flame produced by burning, 595                                                          data, 570                                                Nusselt correlation, 282
                 NOx generation with firing, 555                                                         by FGR implementation, 568                               Nusselt number, 84, 281
                 NOx vs. heat load with firing, 577                                                      philosophy, 561
                 production, 638                                                                     regulations for, 196
                 reforming, 14                                                                       relative steam flow vs., 557
                 species concentration                                                               response from burner, potential factors                      O
                     vs. excess air for, 39                                                                affecting, 404                                         OASPL, see Overall sound pressure level
                     vs. stoichiometric ratio for, 48                                                strategies for reducing, 198                                 Occupational Safety and Health Act (OSHA),
                 Tulsa, 170, 171, 172                                                                thermal, 537                                                          232
              Navier–Stokes equations, 145, 292                                                  NO, see Nitric oxide, 438                                           HAZWOPER, 346
              Nebraska boiler, 584                                                               Noise, 223–249                                                      permissible noise exposures, 234
              NEC, see National Electrical Code                                                      abatement techniques, 239–243                                Octave bands, 230
              Newtonian fluid, 136, 292                                                                  burner noise abatement techniques,                       Off-gas, 352
                                               --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
              Newton iteration, 259                                                                        242–243                                                Offshore oil rig flare, 7
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Index 745
              PLC, see Programmable logic controller                          static, 130, 131                                            Radiant wall burner, 369
              Plenum                                                          swing adsorption (PSA), 161                                    photographic view of, 103
                  burner mounted in common, 452                               switches, 383                                                  picture of, 260
                  damper, 489, 490                                            total, 130, 131                                             Radiation, 87
                  fire, 507                                                   transmitters, 387                                              in absorbing/emitting/scattering media, 93
                  noise reduction, 451                                        units of, 149                                                  absorption, in gases, 93
              Plug flow reactor (PFR), 258                                    upstream, 147                                                  calculation methods, 604
              Plugged gas ports, 539                                          velocity, 132                                                  electromagnetic, 89
              Plugging, with polymers, 462                                 Problem burner, 568                                               exchange rate, net, 96
              Plume heights, estimating, 633                               Process                                                           flame, 105
              PM, see Particulate matter                                      flow diagrams (PFDs), 345                                      furnace gas, 105
              Pneumatic control valve, 385                                    fluid parameters, 479                                          heat transfer, 70
              Pollutant(s)                                                    furnaces, heat transfer in, 102                                    analysis of, 106
                  accurate measurements of, 197                               hazard analysis (PHA), 337, 344, 345                               correction factor, for mixtures of water
                  chemistry models, 301                                       heater(s), 11                                                         vapor and carbon dioxide, 100
              Pollutant emissions, 189–220, 432                                    examples of, 12, 16                                           in cylindrical furnace, 107
                  carbon dioxide, 218                                              heat balance, 21                                          intensity of, 94
                  combustibles, 214–217                                            NOx control technologies in, 199                          models, 297
                       CO and unburned fuel, 214–215                               oil flame, 276                                            refractory surface, 106
                       volatile organic compounds, 215–217                    heat transfer tube, cross section of, 109                      thermal, 88
                  conversions, 190–191                                        industries, 4–7, 9                                             transport equation (RTE), 297
                  dioxins and furans, 219                                          hydrocarbon and petrochemical                             wavelength of, 88
                  emission in hydrocarbon and petrochemical                          industries, 4–5                                      Radiative exchange, network representation of
                         industries, 190                                           power generation industry, 5–7                                   between surfaces, 92
                  nitrogen oxides, 191–214                                    thermal oxidation, 7                                        Radiative heat transfer, 137
                       abatement strategies, 198–204                          tubes, 477, 493                                             Radiometer schematic, ellipsoidal, 443
                       field results, 204–214                                 variable (PV), 395, 396, 397–398                            Radiosity, 89, 91
                       measurement techniques, 197–198                     Products of incomplete combustion (PICs), 309                  Random effects, 417
                       regulations, 196–197                                                                                               Random error, 408
                                                                           Profibus, 375
                       theory, 192–196                                                                                                    Raw gas burner(s), 206, 364, 366, 481, 482
                                                                           Programmable logic controller (PLC), 374, 375,
                  particulates, 217–218                                                                                                      effect of excess oxygen on NOx in, 515
                                                                                     380, 540
                       sources, 217–218                                                                                                      typical throat of, 357
                                                                           Prompt-NOx formation, 61
                       treatment techniques, 218                                                                                          Reaction
                                                                           Propane, 23, 170, 595
                  SOx, 219                                                                                                                   efficiency, 630
                                                                           Propylene, 23, 595
              Polychlorinated biphenyls (PCB), 683                                                                                           rate, 60
                                                                           PSA, see Pressure swing adsorption
              Polychlorinated dibenzofuran (PCDF), 219                                                                                    Reactor(s)
                                                                           PSR, see Perfectly stirred reactor
              Polymerization, 5                                                                                                              plug flow, 258
                                                                           Pulsating flame, 502
              Polymers, plugging with, 462                                                                                                   systems of, 259
                                                                           Pulse-jet, 658
              Polynomial expression, for combustion gases,                                                                                Reboiler, xylene, 306, 307
                                                                           Pulverized coal combustor, 291
                         125                                                                                                              Reburning, 201
                                                                           Pure error, 412
              Portable analyzers, 472                                                                                                     Recuperative preheat exchanger, 649
                                                                           Pure tone, 224
              Port mix twin fluid atomizers, 365                                                                                          Recycle flue gas, 668
                                                                           Purge
              Positioner, 386                                                                                                             Redlich–Kwong equation, 128
              Position switches, 383                                          controls, 629                                               Reed wall, 504
              Positive displacement flow meters, 388                          gas, 597, 601                                               Refinery
              Potential energy, change in, 130                                reduction seals, 620                                           /chemical plant fuels, 528
              Pour point, of liquid, 179                                   PV, see Process variable                                          damage of due to improper maintenance
              Power generation industry (PGI), 5, 361                      Pyrometer, infrared, 478                                                 procedures, 346
              Prandtl–Meyer expansion waves, 147                                                                                             flow diagram, 6, 176
              Premix                                                                                                                         fuel composition, 446
                  burner, 21, 22, 480, 481                                                                                                   gas(es), 159, 186
                  gas, 363
                                                                           Q                                                                     comparison of to test blend, 437
                  metering orifice spud, 355                               Quasi-one-dimensional isentropic flow, 145                            composition of typical, 160
              Pressure                                                     Quench/two-stage acid removal system, 666                             example, 437
                  atmospheric, 148                                                                                                           heaters, 11
                         --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
Index 747
              START box, 490                                       TE, see Thermal energy                                                  non-acid gas endothermic waste
              Static electricity, 343                              TEG, see Turbine exhaust gas                                              gas/waste liquid system, 677–681
              Static mixers, 160                                   Temperature                                                             non-acid gas exothermic waste gas/waste
              Static pressure, 130, 131, 596                           bridgewall, 496                                                       liquid system, 681–682
              Static sparks, 342                                       control valve (TCV), 498                                            NOx minimization or reduction systems,
              Statistical experimental design (SED), 402               distribution, in cylinder, 76                                         688–689
                  combining domain knowledge with, 424                 drop, due to thermal contact resistance, 75                         salts/solids systems, 686–688
                  contrast of classical experimentation and,           firebox, effect of on NOx, 515                                  system generating steam, 679
                         403                                           flame, reduced, 559                                         Thermal radiation, 88
                  principles, 404                                      flue gas, 476                                               Thermoacoustic efficiency (TAE), 235
              Steady-state conduction equation, 77                     fuel, 476, 563                                              Thermocouples, 386, 387, 478
              Steam                                                    gas, 595                                                    Thermodynamics
                  -assisted flare, 237, 241                            indicating controller (TIC), 389                                equilibrium and, 47
                  control, automatic, 627                              process tube, 477                                               Maxwell relation of classical, 144
                  flare(s), 268                                        stack, high, 511                                                relations, 144
                       eduction modeling, 254                          switches, 383                                                   second law of, 71
                       with steam eductor, 254                         tube, 487, 496                                              Thermophoresis, 661
                       tube layout, third-generation, 254          Terrace wall                                                    Thermowell, 386
                  flaring smoking tendencies, predicting, 269          furnace design, 111                                         Three-component system, 422
                  -to-hydrocarbon ratios, 269, 271                     reformers, 10, 436                                          Three-way solenoid valve, 386
                  injection, 201, 607                              Test                                                            Threshold of pain, 227
                  manifold, 606                                        fuel storage tanks, 436                                     Throat velocity, 147
                  reforming, composition of, 161                       furnace                                                     TIC, see Temperature indicating controller
                  superheater, 14                                          selection criteria, 434                                 Tile
                  trapped, 333                                             for simulation of up-fired tests, 435                       burner refractory, 506
              Steamizer™, 610                                          matrix, 442, 444                                                height, 455
              Stefan–Boltzmann law, 79, 90                             procedure                                                       installation, 453, 454
              Stoichiometric oxygen condition, 315                         gas specification sheet, 445–446                            oil burner, 455, 463
              Stoichiometric ratio, excess air and, 38                     example, 447                                                tolerances, 454
              Submerged quench, 655                                Tetracontane, 177                                               Time-averaged emission, 298
              Substoichiometric combustion, 46, 47                 Theoretical fluid dynamics, 288                                 TNG, see Tulsa Natural Gas
              Suction pyrometer, 207, 386                          Thermal conductivity, 71, 81                                    Todd Combustion low NOx burner, 578, 579
              Sulfur                                               Thermal contact resistance, temperature drop                    Toluene, 216
                  -bearing hydrocarbon systems, 682                          due to, 75                                            Top-fired reformers, 10
                  dioxide, 539                                     Thermal cracking, 13, 14                                        Total dry products, 38
                                                                                                                                                                                     --`,,`,,``,,``,```````,,`,,,`-`-`,,`,,`,`,,`---
                  oxides, 219                                      Thermal diffusivity, 78                                         Total pressure, 130, 131
                  recovery reaction furnace, 307                   Thermal energy (TE), 276                                        Total thermal resistance, 74
              Superheater (SH), 34, 561                            Thermal NOx, 60, 537                                            Total wet products, 38
              Supersonic eductor performance, analysis of,         Thermal oxidizer(s), 8, 637–689                                 Touchscreen, 376
                         254                                           basic system building blocks, 640–670                       Transducer, current-to-pressure, 385
              Surface                                                      burners, 640–644                                        Transformers, ignition, 384
                  convection condition, 81                                 catalytic systems, 646–647                              Transient conduction, 77
                  exchange, 93                                             flue gas processing methods, 647–670                    Transmitters, pressure, 387
              Sweet crude oil, 176                                         furnace/thermal                                         Transport
              Sweetening/sulfur removal, 5                                   oxidizer/incinerator/combustion                           characteristics of turbulent, 292
              Swirler, 361                                                   chamber, 644–645                                          equations, 292
              Swirl vanes, 583                                             refractory, 645–646                                         properties, 122
              Switches                                                 blowers, 670–674                                            Troubleshooting, 501–520
                  flow, 384                                            combustion basics, 639–640                                      flame impingement on tubes, 503–504
                  position, 383                                            carbon monoxide, acid gases, 639–640                            cause and effect on operation, 503–504
                  pressure, 383                                            material and energy balance, 639                                corrective action, 504
                  temperature, 383                                         NOx formation, 639                                              indications of problem, 503
              System shutdown                                              oxidizing/reducing combustion                               flame lift-off, 513
                  local request required after, 380                          processes, 639                                                corrective action, 513
                  unsatisfactory parameter, 380                            particulate, 640                                                effect on operation, 513
                                                                       control systems and instrumentation,                                indications of problem, 513
                                                                             675–677                                                   flashback, 505
                                                                       flame inside, 317                                                   cause and corrective action, 505
              T                                                        geometric information describing, 314                               effect on operation, 505
              TAE, see Thermoacoustic efficiency                       picture of, 260                                                     indications of problem, 505
              Tanks, explosions in, 335                                sample results of simplified modeling for,                      high fuel pressure, 510
              Taylor series approximation, 427                               262                                                           effect on operation, 510
              TCV, see Temperature control valve                       system configurations, 677–689                                      indications of problem, 510
              TDMA algorithm, 295                                          acid gas systems, 682–685                                       solution and corrective action, 510
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Index 749
                 -fired flat flame burner, 368                     Wave patterns, development of orderly, 238                     WSPA, see Western States Petroleum
                 plane, 73                                         Weighted-sum-of-gray-gases (WSGG)                                     Association
                 Reed, 504                                            method, 306
                 to wall equations, 288                               model, 298
              Warped flame holders, 539                            Welding, 335, 607
              Waste(s)                                             WESPs, see Wet electrostatic precipitators
                                                                                                                                  X
                 combustion systems, 670                           Western States Petroleum Association (WSPA),                   Xylene
                 gas                                                         190                                                     isomerization, 14
                      composition, 599                             Wet electrostatic precipitators (WESPs), 660,                     reboiler, 306, 307
                      streams, combustible, 160                              662
                 introduction, 641                                    advantages of, 663
                 salt-containing, 686                                 flue gas coming into, 662
                                                                   Wien’s displacement law, 90
                                                                                                                                  Z
                 water-based, 687
                                                                                                                                  ZDR severe service flare tips, see Zink double
              Water                                                Windbox
                                                                                                                                          refractory severe service flare tips
                 -based wastes, 687                                   air flow modeling, 563                                      Zeldovich mechanism, 192
                 exiting faucet at low velocity, 139                  model, air flow balanced by, 567                            Zink double refractory (ZDR) severe service
                 from faucet showing transition, 141               Wing geometry, 534                                                     flare tips, 606, 607
                 gas shift reaction, 47                            Wobbe index, 436                                               Zink Thermal Oxidizer Flare (ZTOF), 598, 622
                 injection, 201, 241                               Woofing, 502                                                      burner systems, 623
                 vapor, emissivity of, 99                          Word length, 415                                                  schematic of, 623
              Watertube boiler, 649                                WSGG, see Weighted-sum-of-gray-gases                           ZTOF, see Zink Thermal Oxidizer Flare
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