Bepercngee-
Design, Testing
and Installation o
Supercharger Systems
by Corky BellSUPERCHARGED!
Eg
Abbreakdown ofa
Vortech system. See
Chapter 2
Connecting rod inertial
loads. See Chapter 3.
‘The Roots blower. See
Chapter 5,
The Centrifagal Super-
charger. See Chapter 6.
‘The Screw Compressor
Supercharger. See
Chapter 7.
Table of Contents
10
Introduction v
The Purpose of Supercharging 1
The Distinction of the Supercharger # Drivabilty * Emissions # Economy *
‘Types of Superchargers + The Torque Curve + Internal Compression Ratio
* Blowers and Compressors « The Logic of Supercharging * Selecting
Supercharger
Acquiring a Supercharged Vehicle 13
OEMSupercharged Automobile» Aftermarket Supercharger Ki Building
Your Own Supercharger System
The Physics of Producing Power 21
Inertial Loads © Power Loads» ‘The Power Equation * Equivalent Compresion
ato « Ailow Rate » Presure Ratio « Densty Ratio» Volumetric Efiency
Volumeisc Efficiency Ratio * Drve-Power Los « Estimating Power
The Balance of Heat 37
‘Knock + ‘Temperature Relationships * Heat Made by the Supercharger ¢
Heat Made by the Compression Ratio * Heat Made by the Supercharger
and the Compression Ratio * Add the Intercooler
The Roots Supercharger 45
‘Aiermarke Systems » Racing * Construction + Advantages « Disadvanages
* Bypas Valve» Selecting the Roots Supercharger » Calculating the Size *
Drive Power Pulley Rao Bele Load «Idler Diameter Inercoling ©
Mounting the Roots
The Centrifugal Supercharger 77
Construction + Advantages # Disadvantages * Antisurge Valve #
Lubrication # Selecting the Centrifugal Supercharger * Calculating the Size
+ Drive Power * Pulley Ratio * Bele Load * Intercooling * Mounting the
Ceatrfugal Supercharger
The Screw Compressor Supercharger 87
CConstrution * Advantages + Disadvantages « Bypass Vibe * Inerooling #
Tbriction + Miler Cycle Selecting the Twin-Serew Supercharger * Calculating
the Size ® Dive Power « Ply Ratio © Belt Load Mounting the Twin Screw"
Intercooling 105
Calculating the Need for an Intercooler # Choosing the Intercooler ©
Design ofthe Alr/Air Intercooler *Ineernal How Area «Heat Tanser
‘reds Turbutatoe# Sizing the Cores Frontal rea ® Core stcamning
* Ducts * Core Thickness * Core Flow Direction » Internal Volume *
End-Cap Design + Tube Sizes and Shapes * Hoses and Connections ©
Postoning the Intercooler * Mounting the Intercooler» Staggered-Core
Imercooler* Multiple Intercooler « Design ofthe Airto-Water Intercooler
1 Charge’ Ar Heat Exchanger » Water Pumps * Coolant Reservoir ®
Front Cooler © Other Intercooler Types « Intercooler Summary
Intake Manifold 137
Inlet Shape « Injector Location * Throttle Bodies # Replacement
Manifolds * Runner Length * Plenum
Electronic Fuel Injection 145
Principles of EFI + Fuel Injectors and Pulse Duration + Sequential versus
Non-Sequential Injection # Flow through the Injector * Modifying Stock
EFI Systems + The Heat Benefit of Fuel * Calculating Injector Size +
Testing Injectors + Fuel Pump Requirements * Fuel Pressure Regulator *
Fuel Rail Size + Fuel Line Size * Fuel Pickup + Programmable Aftermarket
Engine Management Systems * Tuning
Events in the Chamber 173
‘Voltage # Spark Plugs * Ignition Timing * Electronic Ignition Retard ©
Detonation * Knock Sensor * Fuelst
t
i
{
t
I
{
12
13
4
15
16
7
18
19
20
Secondary Components
Inlet Air Pickup * Air Filter © Ram Air« Exhaust System * Basic Tube Size
+ Onygen Sensor Postion » Muller Styles, Sizes, and Number ® Materials
dnd Finishes» Hangers» Fasteners nd Gaskets * Flanges Taipipe
* Special Requirements for Front: Wheel-Drive
Mounting the Supercharger
The Large Roots + The Smaller Roots, Centrifugal, and Twin-Screw «
Design Criteria » Choice of Materials» Lug Configuration * Fasteners ©
Corrosion Protection
Drive Mechanisms
Power Required to Drive the Supercharger # Belts # Drive Power * Duty *
Types « Noise « Tension * Orbiting « Pulley Ratio « Pulley Specifications ®
Palley Diameter « Pulley Temperature + Pulley Materials « Idler « Fastener
Strength + Bending Moment » Pulley-to-Crankshaft Joint © Summary
Preparing the Engine
‘Objecuives * Engine Condition + Compression Ratio Preparing the
Cylinder Head # Preparing the Cylinder Block * Improving Head Clamp.
Up + Pistons # Crankshafis and Bearings * Con Rods and Bolts ©
Balancing the Assembly « Camshafts « Valves © Related Components #
Raiators and Oil Coolers
Testing the System
Equipment and Tools « Air Filter Conditions * Throttle Flow Loss #
Compressor Conditions * Intercooler Conditions + Intake Manifold
Pressure * Exhaust Back Pressure * Air/Fuel Ratio * Automotive Data
Logger * Gauges
The Outer Limits of Power
‘Top Fuel Car # Mustang « Developments in Supercharging * OEMs «
Dealing with the Heat * Miller Cycle # Noise « Seeking More Performance
‘The Roots # The Centrifugal « The Twin-Screw * Durability * The
Aftermarket # Veracity/Voracity
Designing a Supercharger System
Setting the Objective + Calculating the Size * Drive Power « Pulley Ratio #
Belt Load * Measuring Power Increasing Fuel Flow « Calculating,
Implementing the Design
Supercharger Poston + Intake Manifold Inrrcoules Postion +
Lubrication » Air Filter» Bypass Vale » Testing » The Details »
Compressor Rests * Intercooler Results # Exhaust Back Presse ©
Installing a Supercharger Kit
Choosing the System + The Vehicle and System * Preparation #
Dissscmbly Preliminary ® Vacuum Hoses * Throttle Body Removal ©
Vacium Switched Valve « Cables * Connectors * Throxtle Body
Diagnostic Plug » Vacuum Lines © Manifold Removal « Front Cover ©
Drive System « Supercharger and Manifold Insallaion © Brace * Bc
Throttle Body and Air Tube installation » Cables » Diagnostic Plug »
Adsl Camp © Vactuim Lines » Compleding the Lntllason * Testing
Suppliers
Glossary
Index
Art Credi
Acknowledgements
About the Author
181
189
201
219
241
255
265
281
299
315
319
324
336
338
339
Intake runner shape is,
1c Chapter 9
Supercharged fuel
systems need a good,
solid fuel pump. See
Chapter 10.
What can you really do?
See Chapter 17.
The finished system. See
Chapter 19)Bene uber ion of Robert Beni,
Cambie, MA 02198 USA Ieormatin that hos
frowzotces/erreer4i7 ——thecierenca™
BentleyPublishers
‘Copies ofthis book may be purchased from selected booksellers or dretly
from the publisher The publisher encourages comment from the reader of
this book. These communications have been and willbe considered in the
ton ofthis and other books Please write to Bentley Publishers at the
prepa
addres listed at the top ofthis page or ema us though our website,
Library of Congress Cataloging-in-Publcation Data
Bal, Corky, 1941-
‘Supercharged: design, testing, and installation of supercharger systems.
pcm.
Includes inde.
ISBN 0-8376-0168-1 (pbk : alk paper)
1, Automobiles~Motors~Superchargers. I. Tite
‘TH214ss BA 2001,
629.2504-de21
2001037499
Bentley Stock No. GSUP
080705 109876543
“The paper used in ths publication is acid free and meets the requirements of
the National Standard fr Information Seenees-Permanence of Pape for
Printed Library Materials.)
‘Supercharged, by Corky Bll
'© 2001 Corky Bel Robert Bentley, nc. Bently Publishers isa trademark of
Roberty Bente, Ine.
All ights reserved. Il information contained inthis book is based onthe
information available tothe publisher atthe time of eitorial closing. The
rights eserved to make changes at any time without notice, No part of this
publication may be reprodced, stored in avetival tem, or transmitted
jin any form or by any means, electronic, mechanical, photocopying. record:
ing or otherwise without the prior writen consent of the publisher. Tis
includes text, igure, and tbls Al rights eserved under Berne and Pan
America Copyright conventions.
Manfactuted in the United States of America
Front cover: Background art Ethan Estes
Inset photos (clockwise from top let: Randy Anderson,
than Eates, Randy Anderoa, Kleeman USA Ine
Diagrams: Corky Bell and Bentley Publishers
Backcover: Left dlageam: Corky Bell and Bentley Publishes
Right images rom top to bottom): Randy Anderson,
(Corky Bell and Bentley Publishers, Magnusson Products,
aton Corporation
WARNING — Important Safety Notice
“The information inthis book represents 2 general summary of
engineering principles involved in supercharger system design
tint constriction and ther application to vehicles, sing xan
tn inractions which we Beleve to be accurate. Hower, the
‘amples instructions, and other information are intended solely
ts ilostraions and should be wed in any particular application
nly by experienced personnel who are trained in the repair and
trodietion ofeny rable snd who hee idependeniy ela
ted the repair, modifeaton or aceesiry. Implementation of 3
‘mosificaton or atachment ofan acestory eseribed in this book
‘may render the whic, attachment, or accessory unsalt for use in
Do not perform work deserbein this book ules you ae familiar
vith atc automotive repair procedures and safe woekshop pe
tes, This book ilusuates procedures required for some service
Sand modiiition wor its nota subsite for fll and up-to-date
{information fom the vehicle manufacturer or ermarket supplier,
‘or for proper taining as an automotive technician. Note hat i i
not possible for to anticipate all othe ways or conditions under
‘which vehicles may be serviced or modified or to nrovde cautions
{rtoall ofthe pouible hazards that may resale. The vehicle manu
factrer and afermarker suppliers wil continue co issue sevice
information updates and parts retrofits afer the editorial dosing
ofthis ook. Some of hee updates and vewots wll apply to pro
sures and specifications inthis book. We regret that We aint
Supp updates to purchases of his book.
Weave endeavored to ensre he acura ofthe information n his
book. ese note, however, tat consdering the quant and the
omplexiy ofthe information vod, wecannet wart the acc
‘yor completeness of the information conesned in this book
[FoR THESE REASONS, NEITHER THE PUBLISHER NOK THE
AUTHOR MAKES ANY WARRANTIES, EXPRESS ON IMPLIED, THAE
{Tite HXAMLis, INSTRUCTIONS OR OTHER INFORMATION IN THIS
"OOK Ak PREF OF ERRORS OR OMISSIONS, ARE CONSISTENT WITH
INDUSTRY STANDARDS, OR THAT THEY WILL MEET THE REQUIKE-
MINTS FOR A PARTICULAR APPLICATION, AND WE EXPRESSLY
(OF FTINESS FOR A PARTICULAR PURPOSE, EVEN F THE PUBLISHER
‘Tun pontisoten AND AUTHOR ASO DISCLAIM ALL ABILITY FOR.
DIRECT, INDIRECT, INCIDENTAL OR CONSEQUENTIAL DAMAGES.
‘TtaT RESULT FROM ANY USE OF THE EXAMPLES, INSTRUCTIONS.
‘OK OTHER INFORMATION IN THIS BOOK. INNO EVENT SHALL OUR
Your common sese and good jgment ae crucial safe and
sce astomorive work Read procedures through before star
ing them. Think about how alr you ae fing and whether the
‘ondionofyour vehicle, yourlevl of mechanical illo your eel
fof reading comprehension might rest in or contibue in some
‘ray toan exurrence which might cause you injury, damage your
‘hile, or retin an unsafe repair or modiicaon. Ir you have
‘oubs Tor these or other reasons abou yur ability to perform se
‘work on your vec hae the work dane aan authorized dale
‘or other gualied shop.
“This book is only intended for persons who havea great del of
perience in epuiring automolies and who are secking specific
information about superchargers. Irs not for those who are look
ing for gener information on astomotile rept. REPAIR AND
"TAKEN WITH FULL KNOWLEDGE OF THE CONSEQUENCES.
efor attempting any work on any vehicle read an warnings and
‘tone tht ae provided with your supercharger, and any wath
lng or caution thit accompanies procedure or description in this
took Review the warnings and sitions cach time you prepare to
work on any vehicle,Superchargers run the
whole gamut of automotive
performance. Supercharged
Buicks, Pontiacs, and
Joauars provide entertain
ing daily transportation,
while supercharged drag
racing Mustangs provide
entertainment itself
The great tradition of the
neartiftyyearold small
block Chevy as a hot rod
‘engine contrasts historically
with the newest science of
supercharging, the twin
screw compressor. This
interesting combination of
science and tradition still
provides a marvelous
powerplant
Introduction
This book offers the performance enthusiast a practical guide to applying the
supercharger to the modern automobile. It is not an engineering treatise on the
mysteries of the supercharger. A preliminary discussion of theory provides a basic
understanding of how the mechanism works and how it is integrated into the sys
tem. Once the theory is grasped, the details of design, installation and operation
come into perspective
oS | er
. RACEWAYvi supercharged!
The overwhelming spec.
tacle ofthe top classes of
modern dragsters will toke
your breath away. No
other automotive event con
0 stun your senses with
1a demonstration of raw
speed, noise, power, and
controlled violence.
Nowhere in this book will you find equations beyond those that can be solved
witha fifteen-dollar calculator. The theory is equally simple. Its my sincere hope
that the reader will take the time to understand the equations and their real impli-
cations for the success of the supercharged automobile, There has never been a
substitute for basic engineering in the pursuit of high performance. For a clear
impression of what supercharger engineering can do when applied to a compe
tition vehicle, I urge you to attend a Top Fuel drag racing event. Witnessing a
modern dragster accelerating to 325 mph in 4.5 seconds will forever imprint on
‘your mind the extremes of controlled power and speed available only through an
understanding of the engineering needed.
Prior to modifying any component of an automobile, check local, state, and
federal law regarding that modification’s legality. Any item sold that has received a
California Air Resources Board exemption order number is street legal in all states.The Distinction of the
Supercharger
The Purpose of
Supercharging
Prior to World War II, Mercedes-Benz fielded some of the most technically interest-
ing, complex, and successful supercharged Grand Prix cars ever raced. Just before
that, Harry Miller was building the great supercharged Indy racers that were
marvels of engineering for their time, and of enduring craftsmanship and beauty.
During World War IL, the great and successful aircraft were supercharged. Indeed,
the Battle of Britain might not have been won without the supercharged Spitfire
fighter planes. Even the Bocing B-29 SuperFortress bomber was supercharged.
‘After the war, Alfa Romeo emerged with the Type 159 Grand Prix cars and swept
all competitors aside, In the late fifties, British Racing Motors built fascinating 90
cid V-16 racer, the BRM, that produced over 600 bhp. Unfortunately, a rule change
climinated it from competition. The legendary howling Novi supercharged V-8s,
began to appear at Indy and are revered to this day. In the eighties, supercharged
Grand Prix ears were once again within the rules. Usually sporting turbis
superchargers, these 90 cid vehicles achieved power outputs of 1300+ bhp in their
qualifying trims. Never before or since have men been asked to drive such powerful
road-racing cars, Imagine, fyou can, a sixteen-hundred-pound road racing machine
\with 1300 horsepower! This would be the rough equivalent of placing 3100 bhp in,
the late, great Dale Farnhardt’s hands for a Winston Cup stock car race.
‘One day, a whole new generation of “clean-sheet-of paper” engine designs will
integrate the supercharger from the outset. Mazda has shown the way with the
highly innovative Millenia 2.5-liter V-6 sedan. This V-6 engine /supercharger design
is the world’s frst try at an automobile with a Miller cycle engine. (The Miller cycle
is discussed in Chapter 7.)
[Any device that packs more air molecules into an engine than the engine can breathe for
itself whether it’s a compressed air bottle, an army of servants with palm fronds, or a
‘mineshaft air mover—is a supercharger. Technically, this includes turbine-driven super
chargers (powered by the vehicl’s exhaust gas), but these are now invariably referred.
toasturbochargers. Turbochargersare covered in the present author's Maximum Boost
and are not discussed in this book, whichis limited to belt- driven superchargers
‘The choice between supercharging and turbocharging depends on the objec
tives and available equipment. Available space is a factor, as are the simplicity of
installation and lower weight of existing supercharger kits. Cost is not generally a
factor, as the cost of supercharger and turbocharger kts is approximately the same,
Superchargers also eliminate the need to deal with the exhaust-gas interruption
created by inserting a turbine into the exhaust flow.2 supercharged!
Driveability
Fig, 1-1: The classic
‘American Hot Red almost
hhas to have a Chevy engine
and a Roots blower.
‘Turbos are generally quieter, more economical to operate (powered only under
boost, they impose less parasitic drag), and produce more power, but centrifugal
superchargers do a good job of high-end street performance and stock-car drag,
racing, The centrifugal supercharger, with its ability to blow into the throttle,
offers the greatest simplicity of al.
Fixed-displacement superchargers maximize low-speed boost, and the
American hot rodder has long favored the large-displacement Roots blower.
Maintaining that tradition has a strong appeal that beckons many builders.
Potential supercharger buyers are often concerned about three issues: drive-
ability, emissions, and economy.
The flawless, smooth driveability of the modern automobile has spoiled us all
‘Today, few are willing to buy megapower at the expense of ease of driving. Nor
do we have to, The supercharged engine works perfectly well with what we
‘would call an “economy,” or stock, camshaft. Low-overlap, short-duration, low-
lift cams all work well with superchargers. The magic of electronic fue! injection
permits programming for maximum-eeonomy cruise and maximum power in the
same fuel curve. The sweet eagerness of high-compression engines is completelyEconomy
Types of
Superchargers
chapter 1: the purpose of supercharging 3.
compatible with supercharging, provided an intercooler is part of the package.
In other words, no contradiction exists between perfect driveability and serious
supercharged horsepower.
‘The days of the raucous, lumpy-idling, monster-motored supercar started downhill
when environmentalists started pressuring bureaucrats 10 do something about
automotive emissions. Automakers, forced by federal law, reduced emissions of the
modern automobile to less than that of a 2-horsepower lawnmower. This allows us
tostill enjoy the same performance as a raucous, lumpy-idling, monster-morored
supercar with the civility of low emissions.
‘The monster motor was given another boot with the “oil crisis” of the early
seventies. Real or not, the result was huge federal emphasis on miles per gallon.
Corporate Average Fuel Economy, CAFE, laws were a direct result of the oil scares,
Look back at your 1966 GTO. Its performance can now be matched by a much
smaller supercharged engine that, when not under boost, delivers considerably
‘more fuel economy. Today, you can go faster in a supercharged Mazda Miata and
get four times the fuel mileage when not under boost:
‘The above three issues are also reasons to use a supercharger or turbo rather
than hop up a normally aspirated engine.
Hundreds of mechanisms can move air, and virtually any of them can be made into
some form of supercharger. Its not within the scope of this book to discuss every
possible mechanism, but only those that have proven their worth with regard to per
formance and durability and that are available today. Three types of air movers have
‘emerged as viable: the ever-present old Roots, the centrifugal, and the serew compres-
sor, commonly known as the twin-screw. Each is discussed in a separate chapter.
‘All superchargers fall into the category of either fixed-displacement or non-
fixed-displacement types. Imagine the fixed-displacement compressor as similar
toa piston and cylinder, where the air volume pumped per ¢
the cylinder. Likewise, imagine the non-fixed-displacement compressor as a palm
frond that pushes an amount of air along, but with vague boundaries and unde-
fined amounts of air that slip aside the frond and go nowhere:
Fixed-displacement
Fixed-displacement superchargers (like the Roots and twin-screw) pump a specific
volume of air per revolution and do not permit reverse flow. Air comes in the inlet
por, then that port closes. The air is moved to the outlet por, that port opens, and
the ar discharges. Atno time, and regardless of pressure, can air go backward through
the supercharger, except, of course, through the clearances between components.
Non-fixed-displacement
Non-fixed-displacement types (like the centrifugal) push an unspecified amount
of air along, much like a fan blade, so air can flow backward if conditions warrant.
Nothing closes to block the flow. Only air being pushed by blades, much like a
propeller, influences it to travel toward the engine. If boost at the compressor
‘outlet suddenly gets too high for the supporting air low to maintain, as when the
throttle (downstream of the supercharger) is slammed shut at high supercharger
speed, some of the air can reverse directions and go right back out through the
‘compressor, just as air could flow backward through a propeller ifa great enough
force were pushing it4 supercharged!
Fig. 1-2: The centrifugal
blower enjoys the widest
acceptance in the aftermar.
ket supercharger industry.
Its inherent simplicity, ease
of installation, and thermal
efficiency will keep it in the
forefront of the enthusiast
‘marke! for years to come,
The Torque Curve
Internal
Compression Ratio
Whether the supercharger is fixed-displacement or non-fixed has implications for
the speed range in which it is used. The fixed-displacement Roots finds its best use
at low and midrange rpm. The centrifugal offers its greatest benefit in the higher
rev ranges, with littl in the low and middle ranges. The twin-screw can prove a
strong benefit to both low: and high-speed torque.
Superchargers are also divided into those that do not have an internal compression
ratio (like the Roots) and those that do (like the centrifugal and the twin-serew).
Without an internal compression ratio, as in the Roots, no change occurs in the
volume or pressure of the ar a it passes through the blower. Ifthe blower inhales,
1 cubic inch at atmospheric pressure, it delivers that cubic inch to the discharge
port without changing its pressure or volume. Only when the air is forced into
the chamber of an intake manifold will it build up pressure.
Imagine the situation as similar to an overloaded junk closet. Throw in one
more piece of junk, slam the door on it, and it becomes smashed in tight with all,
the rest OF he junk. T's compressed int Use Uoset by slamuiang, ke door.
A supercharger with an internal compression ratio (twin-screw or centriftgal) is
ne in which both volume and pressure vary asthe air passes through. As the bit of
air moves through, itis continually forced into a smaller volume, which also increas
es the pressure. Upon reaching the discharge port, it’s already compressed.
Look at the stuffed junk closet again. Each piece of air out of the internal-com-
pression-ratio blower is already wadded up tight and, when released into the closet,
is not subject to further crowding (compression). The major advantage to this, as,
compared to superchargers without an internal compression ratio i that it permits
«greater thermal efficiency, producing ess heat, as described in the next section,
In fixed. displacement types with an internal compression ratio (twin-screw),
compression is accomplished by the meshing of the rotors. For non-fixed-is
placement types with an internal compression ratio (centrifugal), compression
is accomplished by the internal shape of the collector/discharge housing, where
the air passes through a passage similar to a venturi, It experiences compression
entering the narrower passage, then expansion as it moves past the restriction and,
out the nozzle.Blowers and
Compressors
Fig. 1-3: The twin-screw
compressor, while appear-
ing 10 be a simple machine,
is in fact, a complex ther-
‘modynamic problem as
well as @ manufacturing
headache. However, the
effort to make it a viable
supercharger has been well
worth the trouble.
chapter 1: the purpose of supercharging 5
‘Table 1-1: Comparison of supercharger types
‘Type iued displacement _Internal compression ratio
Roos Yes No
Centrifugal No Yes
Screw Yes Xs
Often someone tries to establish that the categories of superchargers are “blowers
and compressors.” Although partly true, the historical goof-up lies in the fable
that blowers just move air with no heating effect and that compressors compress
the air, thus heating it. Neither is true. The next time someone tells you he has
4 blower on his car and that it doesn’t make any heat, sympathize with him for
having no boost either. (In this context, a blower is a supercharger that does not
have an internal compression ratio, However, the terms “blower,” “compressor,”
and “supercharger” are used interchangeably in this book.)
‘Whatever the mechanism, ifit pushes air hard enough against some restriction
{intake valve action) so that pressure rises above atmospheric, the air gets hotter,
in accordance with thermodynamic law. Traditionally, heat is supposedly made
bya compressor (centrifugal or twin-screw) and not by a blower (Roots), but the
real situation is almost the reverse. The compressor, due to its internal compres-
sion ratio, enjoys an overall thermal efficiency advantage—that i, it produces less
heat when it compresses air than a blower does. To understand wiy; lets look at
lone discharge event from the rotors into the manifold or intercooler tube when
operating under boost.
‘The imaginary wall of discharge, or “port,” at the exit of a Roots is always at
a higher pressure in the manifold than in the compressor, even under vacuum,supercharged!
The Logic of
Supercharging
This is sort of like making boost, but the boost would be from, say, 20 inches of
vacuum in the throttle area and blower to 15 inches in the manifold.
Recall from above that the Roots does not compressairin the blower—air remains
at the pressure (or vacuum) aft of the throttle body, and compression occurs only
when airis packed into the manifold. So we are attempting to take lower-pressure
sir aund force i inty the higher-pressuse manifold. When the discharge pore ope!
and the pumped air is suddenly faced with entering this higher-pressure space, a
portion of the heated compressed air in the manifold will disperse itself backward
along the rotor faces and into the blower cavities. This carries some of the heat
in the compressed air in the manifold back into the blower, later to be partially
shoved back into the manifold and partially compressed yet again, to an even
higher temperature.
In the twin-screw or centrifugal superchargers, which do compress air as it
passes through them, the packet of air can be compressed to a higher pressure
than that in the manifold. When the port opens, the compressed charge leaps out,
propelled from the high pressure of the compressor into the lower pressure of
the manifold, ike a bullet down a rifle bore. Once past the exit wall of the super-
charger, the air packet experiences less intake manifold pressure, thus no opposing
force to send it back where it came from. If the supercharger is forced to produce
manifold pressure greater than its internal compression ratio, the air packets begin
to behave in a manner similar to those in the Roots, but to a lesser extent, because
the pressure difference between the manifold and the packet is less.
More powerful engines can be created in two basic ways: we can burn more fue!
per time, which is comparatively easy, or we can make more efficient use of the
fuel being burned, which is difficult. To burn more fuel per time, we can increase
the volume (by enlarging the cylinder bore and/or the crankshaft stroke), number
of putts (rpm’s), or volumetric efficiency (breathing capacity). ‘These factors are
given in Chapter 32s an equation, PLAN, and are discussed in more general terms
below. Making more efficient use ofthe fuel being burned would inerease the aver-
age downward combustion pressure on the piston (BMEP). This would require
improving the engine’s thermal efficiency, to reduce energy from combustion lost
as heat, or its mechanical efficiency, to reduce energy from friction lost as heat.
‘Burning mere fuel per time
First, big engines make more power than small ones, all other things remaining,
‘equal. If we have a 350 Chevy, its reasonable to assume it would be about twice
as powerful if we made it into a 700 Chevy (that is, doubling its displacement or
producing a V-16 engine of the same bore and stroke). You can only guess at the
enormous cost and time needed to do that. And then the slug would weigh near
twice as much.
Second, we can run the engine twice as fast (number of putts per minute). In
1995, the dawning of the 18,000 rpm Formula 1 Grand Prix engine took place.
It is, amazingly enough, possible to turn the 3-liter, four-stroke-cycle engine that
fast: 150 power cycles per cylinder per second. So it is possible to turn that 350
twice as fast, but seriously difficult
‘Third, we can fool Mother Nature. We can beat 100% volumetric efficiency and
pack the combustion chamber with more molecules than the engine can breathe
‘on its own. We can pack in three times the number of molecules and make threeSelecting a
Supercharger
chopler 1: the purpose of supercharging 7
times the power. Is it expensive? No, not very. Is it heavy? No, not at all, Does it
require engineering wizardry? No, no! Isit really doable? Yes! Now we are talking.
superchargers!
‘Making more efficient use of the fuel being burned
With approximately 30% of the energy in gasoline going straight out the tailpipe
as lost heat and another 30% winding up in the cooling system, one might think
‘we've got huge dividends to reap. Not so: some miracle of technology will have
‘to come along to substantially improve the efficiency with which a modern engine
uses fuel
High-performance engines are typically prepared to reduce losses to friction
horsepower. This involves such considerations as improving the surface finish on
the crankshaft, bearings, and cylinder walls increasing clearances between the
bearing sleeves and the shaft to reduce oil shear; low-tension piston rings and one
ring instead of two; a chain versus a belt or gears (the most complex and expensive)
to drive the camshaft; cam profile that require less spring tension; eliminating the
rocker arms; and low-friction valve seals Still, only small gains are made.
Each of the three supercharger types discussed in this book enjoys its own particular
areas of merit. Selecting one most suited to the user’s needs involves weighing these
‘merits and determining the best combination thereof. Table 1-2 offers some guid-
ance. Clearly, ny supercharger application may have a single objective that far out
‘weighs all other considerations. IfSo, the supercharger that best meets that objective
is the logical choice. Otherwise, look for the best combination of merits.
‘Table 1-2: Comparison of the Roots, centrifugal and
tsvin-srew characteristics
a
Low-speed boost capability
High boost-pressure capability
(10+ psi)
Fast boost nse
Thermal efficiency
Volumetric effiieney
Ease of intercooling
Power loss through supercharger
Simplicity of installation
Noise
Vibration
Space requirements
Installation convenience
Cost
B
a
cl
B
©
©
B
fc
B
©
©
B
bw ee oroh ee ee
A= Excellent; B = Good; C = Fair; D = Poor8 supercharged!
Fig. 1-4: A 535hp 460
motor from a Ford powered
motor home with o Kenne
Boll Supercharger.
Objectives
Top Fuel dragsters and record-setting grocery getters do not have much in com.
mon. The successful installation must take into account the details that permit an
engine to run well within the specified objectives,
The size and type of supercharger selected for a given application will strongly
influence the degree of success enjoyed by the system. It is not at all a case of
only one supercharger working in a specific situation; rather, just one will work
best, although several could work well. The trade-offs of boost threshold, he:
low-speed torque, and power are the variables in matching the supercharger to
the requirements. To optimize the trade-offs, the requirements must be defined
first. These requirements can be spelled out by listing the performance objectives
for the particular vehicle
Power, top speed, and acceleration are measures of performance. Objectives
can vary for day-to-day commuter cars, Bonneville maximum- speed cars, drag
cars, super-performance street cars, roadracing cars, and even for the outer fringe
of Vehicles called pickup trucks. Specific performance objectives will be items such
as desired boost threshold, torque peak, and estimated power output. Higher
speed vehicles require larger superchargers, street cars respond well to midra
smaller superchargers.
torque, and low-speed vehicles
Compressor
A compressor has a particular combination of airflow and boost pressure at which
it is most efficient. The trick in choosing optimum compressor size lies in post
tioning the point of maximum efficiency at the most useful part of the rev range.
1 part of the rev range is where some judgment needs to
Choosing the most use!
be exercised. When efficiency drops off, heat produced by the compressor gocschopler 1: the purpose of supercharging
up. Ifa compressor were sized such that maximum efficiency occurred at one-third
of the rev range, efficiency at or near the redline would taper off to where the
charge temperature would be scorching hot, At the other extreme, if maximum
efficiency were at the redline, midrange temperatures could get out of hand. This
particular size would then be useful only for running flat out at that rpm;¢.g., the
Bonneville car. Somewhere in the midalle ofthe useful rev range of the engin lics
the best place to locate the maximum efficiency point.
Larger or smaller compressors do not have a huge effect on boost threshold.
Boost threshold is mostly a function of the supercharger’s speed.
Selecting the correct compressor size is not a black art, Rather, a few simple
calculations based on the power of the existing engine and the desired power,
coupled with one fundamental guideline, and the choice of blower sizes becomes
apparent. The guideline is that when faced with two sizes that appear to meet the
objectives, choose the larger. Because it will meet the objectives at lower rpm, i
will generate lower loads, noise will be less, idler pulleys will turn more slowly,
greater future expansion is possible, and usually, but not always, thermal efficiency
will be higher.
‘The calculations are basically a comparison of desired power to existing power.
If we assume the system will be intercooled, which it generally should be for boost
greater than 5-6 psi, the ratio of the two power figures yields a number almost
the same as the required boost pressure ratio. Convert the pressure ratio into an
airflow number, as shown in later chapters, then set out to find a blower that will
produce that much flow at no higher than maximum continuous speed.
For Roots and twin-screws, flow is the displacement per revolution multiplied
by «pm and volumetric efficiency, For centrifugal compressors, a flow map will
-al flow capability. The procedure for calculations is given in the specific chap
ters for the different types of superchargers. Regardless of the type of blower, keep
the size selected at least 10-15% larger than just meeting the objectives.
Boost Rating
Don’t automatically take a kit's rated boost figure at face value, This figure is
the foundation upon which all of your calculations and expectations rests, s0 it
pays to make sure that the criteria by which the rated boost was calculated by the
‘manufacturer equates to the same criteria under your hood. Things to consider
are: whether pump-grade gasoline was used, whether octane boosters were uscd,
whether detonation was present, the speci
package equate to the test unit? Call the manufacturer to get accurate answers to
these questions.
intake air temperature, and does the
Budget
Cost out the components and labor to meet the objectives.
‘Ulimately, the value of the equipment selected will not lie just with power,
knowledge, thermodynamic factors, or cost. Rather, it will be determined by the
way this baby behaves on the road. Is it actually fast, and does it fel fast? Does it fel
responsive and eager to run? Is it erisp and sharp? Does it pull smoothly with ease
and grace to the redline? Does it make you smile when no one is around to see?10 supercharged!
Fig. 1-5: What we have
versus what we want.
The torque curve we really want
Torque (ib)
“TWpical torque curve
0100020008000 4060 00060007000
RPM
True, this is something you won’t know until the installation is complete.
Suppose the answer is “No.” Have you spent al tha time and money for nothing?
Hardly. Ie’s seldom the ease that the whole installation is bad and just isn't going
to work. The most frequent problems are that the fuel system can’t do the job
‘or that the blower, intercooler, or pulley isthe wrong size. But ifyou follow the
guidelines in this book, your chances of getting it right the first time are distincly
improved.
Establish your objectives, learn the process required to meet those objectives,
and keep an element of conservatism in the boost pressure. Try to avoid learning,
the lessons of budget, knowledge, and effort the hard way: by a smoking trail of
broken parts and wasted dollars.chapter 1: the purpose of supercharging 11
And Furthermore .... How much power can Iexpect from a supercharged engine?
The current fuel octane ratings of 91/93 still offer us a potentially
large power increase with supercharging. While absolute boost pres-
sure is important to power, itis not the sole measure. Bragging rights
are not established by boost gauge readings; quarter-mile times and
‘dynamometer numbers are where the real story is. The power one can
‘expect will depend almost completely on how well that boost is used. A
low-compression, 20 psi setup with no intercooling and lots of ignition
retard won't come close to keeping up with a 10 psi system that’s well
tuned and uses all the right stuff.
Estimating power output is chancy. For valid numbers, we must
resort £0 equations, which appear later in the book.OEM-Supercharged
Automobile
Acquiring a
Supercharged
Vehicle
‘The essence of this book is to provide the performance car enthusiast interested
in supercharging with a body of information that can be used to evaluate system
designs, whether of a factory supercharger system or an aftermarket kit. This
book is also intended as a design guide for the hobbyist who wants to build
his own supercharger system. Three viable methods exist to acquire a supercharged
vehicle:
* buy an OEM-supercharged automobile
* buy an aftermarket kit, ifavailable, for your specific application
ebuild your awn supercharger eystem
‘The rationale behind the decision that suits your needs and requirements best
is no more than a logical summary of the following:
# What is the intended use of the vehicle?
*# Whats the legality with respect to state
of the car?
* How much power is required?
4 Is fear ofa failure such that a factory warranty is required?
# Can you make a reasonable judgment with respect to the engineer
ing of an aftermarket kit?
* Do you have the skill, time, patience, and equipment to build your own?
nd federal law and the year
The serious driver of supercharged machinery, of_ess than six-digit means, has not
bbeen catered to by the OEMs of today: While performance abounds in automobiles
from Camaros and BMWs to Volvos and Vipers, only Mercedes sees fit to produce
an affordable supercharged sports car. One can purchase Buicks and Pontiacs and
Millenias sporting blowers, but these vehicles do not meet the author's idea of
exhilarating motoring. True, there are blown V-8 Aston Martins and Jaguars, but
these are largely unattainable vehicles. Therefore, although they are technically
interesting, their presence in the motoring world is of no value to us middle-class
leadfoots. Unless your tastes lc along the lines ofa mildly rapid family hack, enjoy
ing the fun of a supercharged automobile will tend to push you in directions other
than the offerings of the OEMs.
Ifyou buy a supercharged OEM vehicle and want to go fast, the
ist step in
pursuing more performance is a complete analysis of the system design. Chapter
1314 supercharged!
Fig. 2-1: For decades, the
classic blown sirest rod has
enjoyed the combo of a
B&M Roots blower, Holley
carbs, and the smallblock
Chovy.
Fig. 2-2: The Eaton super-
charger integrated into 0
Chevy smallblock intake
‘manifold by Magnuson
shows the simplicity of the
basic hardware—augment-
cd by the selflubricating
Eaton blower.
16, Testing the System, is your starting point. With those data accumulated and
analyzed and the weak links identified, you can set out to find the necessary com
ponents to improve the system. Keep in mind that the issue here is to improve
the system’s efficiency, thereby opening up the potential for huge gains in power.
Increasing boost pressure is aso a consideration, but without improvements to the
systems efficiency, this path to power is fraught with serious mechanical risk.
‘Once the system has been tested and the merit of each feature has been
determined, start the improvement process with the weakest link. Here is
where foresight becomes important. For example, an intercooler that loses
only 2 psi at the factory-rated boost can be judged okay. It is okay, but only
for the factory-rated boost. Likely it will lose 3 or 4 psi at any significantly
increased airflow. That kind of loss is not acceptable.Fig. 2-3: This Vortech sys
fem for the 2valve 96-97
‘Mustang illustrates the vari:
ety of components needed
10 call a kit “complete.”
Aftermarket
Supercharger Kit
Fig. 2-4: The early produc
tion Rotrex blowers were
specifically for smalls
placement engines, lke this
fourcylinder, 2.Qliter VW.
chapter 2: acquiring a supercharged vehicle 15
Here’s where the action is taking place. Those Camaros, Vipers, BMWs,
‘Mustangs and even little Mazda Miatas have a plethora of kits and components
available for mild to wild performance. The ten- and eleven-second street car can
be built today from components engineered in the aftermarket.
‘The purchase of an aftermarket supercharger system is an ideal occasion to
employ this hook as the guide itis intended to be, An investigation is necessary to
determine the system that will meet your needs. Determine your objectives, then
decide what type of supercharger most closely meets those needs.
Before a reasonable decision can be made, answers to a variety of questions must be
both sought and understood. The following samples will get you on the right track
Does the system provide a correct air/fuel ratio at all operational conditions?
‘The air/fuel ratio is a basic building block of a supercharger system,
It needs to be maintained over the boost range that the manufacturer
claims for the kit. It is not to be expected that the air/fuel ratio will stay
correct if the system’s design limits are exceeded. In all ci
it is necessary to avoid discussing “fuel enrichment.” Either an air/fuel
ratio is correct or it isn’t—no “enrichment” required16 supercharged!
Fig. 2-5: The Kenne Bell
shops produced this very
(OfMppearing Ford F150
bwinscrew assembly
Does the system provide a margin of safety on detonation?
‘The attempt here is to determine whether the system installed and
operated per instructions will yield useful boost and not be subject to
detonation problems.
Does the system provide the necessary thermal controls to operate atthe stated
boost pressures?
Ask for a description and explanation of these controls,
What efforts are extended toward quality control?
Fitand finish are obvious. Material selections, methods of welding, surface
finishes, and other fabrication procedures should also be checked out.
Do the components carry a reasonable warranty?
Although warranties on performance-oriented components are fre
quently subject to severe limitations, the buyer cannot be hung out to
dry. It is useful to discuss with the kit maker the warranty limitations
and procedures necessary to establish the best warranty terms.
Are proper instructions offered with the system?
Instructions should provide all the necessary information to install, check
out, and subsequently operate and service the supercharged vehicle.
Will consulting be provided after the sale?
This is where the maturity of a supercharger system manufacturer will
truly show.
If the system is to be used on a public highway, is it designed with all emis-
sions-related equipment in proper order, and/or is the system on EPA- or
CARB exemption-order status?
In all states, the emission question will be the most important one.
‘When the answers to the above questions are satisfactory, it is time to get down
to the fun details, such as compressor efficiency with respect to the system flow
rates and boost pressures,
aFig. 2-6: Centrifugal blow.
rs con easily be adapted
to older, carbureled
‘engines. This ATI system is
intended for blow-through
curb applications,
ing Your Own Any reasonably able &
chapter 2: acquiring a supercharged vehicle 17
Al kit makers will try to represent their systems as the most powerful. The
accuracy ofthese claims is efferent story. The advent of the chassis dyno made it
look, fora short period, as though manufacturers would publish legitimate power
curves. Unfortunately, in some eases, these have evolved into just another way of
stretching a point. For example, a dyno graph may show a blower run at 15 psi
‘when the kit is sold to run at 6 psi. And there are many more clever tricks than
just running the wrong boost pressure
ricator should have no serious difficulty designing and
Supercharger System building his own superchargersystem. Forethought, planning, calculating, sketch-
Fig. 2-7: This compact
design integrates the super
charger info the intoke
manifold for the sixcylinder
eep 4.0,
ing, and measuring, all done in considerable detail, will be the keys to the success
of the project.
Perhaps the single greatest problem facing the do-it-yourselferi avoiding get
ting stuck. Getting stuck is the phenomenon of “You can’t get there from here.”
For example, you can’t ever hope for an emissions-clean 10-second street car if
‘you build a draw-through carb type. Trying to adapt a used blower from a 3.8-
liter Buick to a 454 big-block will decidedly put you in a position where you are
stuck. Avoid going down these paths leading to “stuck.”
"The first requirement is wo deteriine the power level desired. Translate that
necessary to get the job done. That, in itself, will
igure into a boost pr
determine the equipment needed. The remainder of the project is the sum of the
ce contained in this book.18 supercharged!
And Furthermore . . .
Fig. 2-8: A Dodge V-10 kit
from Carroll Supercharging
What isa reasonable price to pay for a supercharger system?
‘The lowest-priced system that offers:
+ a correctly sized supercharger
* a correct air/fuel ratio under boost
+ proper ignition timing
+ proper thermal controls
‘+ a margin of safety on detonation
* quality components
‘Such a system can put together a good argument for being the best value
It is popular to believe that you get what you pay for, but there are super:
charger kits costing nearly $7,000 that do not have a correct air/fuel
ratio. Conversely, well-designed kits are available for less than $2500.
A reasonable price? This must remain the prospective buyer's decision,
based on a thorough knowledge of what he gets for his money.
What paperwork should be included with a supercharger kit?
Instructions and warranty are self-explanatory. Cautions and operating
procedures must be well detailed and conservative,
What are the warranty implications of installing a supercharger in a new
automobile?
All factory warranty on drivetrain components will he voiced “There are,
however, several circumstances to consider. You can purchase an after
market warranty to cover your vehicle for all non-supercharger-induced
or -related problems, It is currently in vogue to sell these policies with
supercharger systems under the intended misconception that your drive:
train is warranted against “supercharger-induced” failures. Not so.
fone breaks his supercharged engine, itis not going to be paid for by
anyone’s warranty—exactly the same situation as waiting until the fac
tory warranty expires and then adding the supercharger. Which means
that waiting out the factory warranty before installing a supercharger
accomplishes nothing, except insuring thar the mechanism is one-third
used up pre-supercharger. Furthermore, it eliminates the fan of ever
‘owning a nice new automobile with enhanced power.chapter 2: acquiring a supercharged vehicle
Ie is rare for a modern automobile to have an engine/drivetrain prob-
lem within the warranty duration. Those problems that do appear are
generally minor and will likely cost under a hundred dollars to repair.
To preserve the warranty for many thousands of miles to avoid a pos:
sible hundred-dollar component failure rather than enjoying the extra
performance seems to me the poorer choice. 10 assuage your concerns,
call the car maker’s regional office and discuss with a service rep the
areas of the drivetrain that have been a warranty problem.
Will Ibave to buy anything else to supplement the supercharger?
Wow, what a loaded question. What this usually boils down to is the
difference between a system that’s “complete” and one that’s “com:
prehensive.” In the world of supercharger kits, “complete” means that
all the parts arrive in the box, so you don’t have to make any trips to
the hardware store or call the maker about missing pieces. You'd be
surprised how often this happens.
Whether the kit was designed with the components to do the job is
another story. “Comprehensive” means that the kit includes a fuel sys-
tem, detonation controls, and boost gauge.
If a kit advertised as “complete” arrives minus a few pieces, this is a
‘tragedy that can be set right in afew days at most. But ifthe kits poorly
designed, having all the pieces and more is no consolation.
19Inertial Loads
Fig. 3-1: The relationship
of engine loads to engine
components has three sig-
nificant piston/crankshoft
positions.
The Physics of
Producing Power
ngines must endure two types of loads with distinctly different effects: inertial
loads and power loads. Inertial loads can be tensile (produced by pulling) or
compressive (produced by pushing). Power loads can only be compressive. They
must be understood both individually and in their interaction for a clear view of
why the supercharger does not immediately send the crank south,
An inertial load results from an object’s resistance to motion. To examine inertial
loads in an engine, itis convenient to divide the cylinder assembly into an upper
halfand a lower half, Imagine the two halves separated by an imaginary line called
the center stroke,
‘The piston always accelerates toward the center stroke, even when traveling
away from the center stroke. In other words, when the piston is above the center
stroke, it will always be accelerating downward, When itis below the center stroke,
even at bottom dead center, it will be accelerating upward. Acceleration is greatest
at top dead center and bottom dead center, when the piston is actually siting still
When acceleration is greatest, the loads will be highes
zero and velocity is greatest as the piston passes the center stro}
imilarly, acceleration is
Top dead center Center stroke Bottom dead center
‘Top dead center
Full stoke
=
“The size of the loads generated by these motions is proportional to the 1pm
of the engine squared. For example, if engine speed is increased threefold, the
inertial load will be nine times as great. The action of the piston’s being pulled
2122 supercharged!
Fig. 3-2: Connectingrod
inertial loads. inertial loads
applied to the connecting
rod are closely approximat
ed by the sine wave curve
of load versus crank angle.
Power Loads
(Forced to accelerate) to a stop at top dead center and then pulled down the bore
toward the center stroke will put a tensile inertial load into the con-rod/piston
assembly. Similarly, as the piston is pushed to a stop at bottom dead center and
then pushed back up the bore toward the center stroke, the inertial load will be
compressive. Thus, any time the piston is above the center stroke the inertial load
will be tensile, and! below dhe center stroke, it will be compressive,
Top dead Top dead
center contr
‘The largest tensile load induced into a con rod is at top dead center on the
‘exhaust stroke (because at top dead center on the compression stroke, the gas is
already burning and creating combustion pressure to oppose the inertial load).
‘The largest compressive load is generally at bottom dead center after either the
intake or power stroke,
‘These inertial loads are huge. A large-displacement engine running 7,000
1pm can develop con-rod inertial loads greater than 4,000 pounds. (That's like a
Cadillac sitting on your rod bearing.)
‘A power load results from the pressure of the burning gases applied to the pis-
ton. An example would be the compressive load put into a connecting rod as the
burning gases force the piston down the bore of the cylinder. Pressure created by
the expansion of the burning gases applies a force to the top of the piston equal
to the area of the bore times the chamber pressure. For example, a cylinder with
«bore area of 10 square inches (3.569-inch bore) with 800 psi of pressure would,
be subjected to a compressive power load of 8,000 pounds.Fig. 3-3: Burning gos
induces a compressive load
in the connecting rod.
Fig. 3-4: Combined
power and inertial loads
Note thot power and iner-
tial loads generally subiract
from one another.
chopter 3: the physics of producing power 23
The peculiar relationship of the inertial and power loads is of most interest in
the upper half of the power stroke, Here we have the odd circumstance that the
two loads acting on the con rod are doing so in different directions. Remember
that an inertial load is tensile above the center stroke, while a power load is com-
pressive in all cases. Power load peaks at the torque peak and fades alittle as rpm
increases but is generally yreater thant the inertial load. The difference between
these two loads is the real load in the con rod (Fig. 3-3)
Burning gas pressure (">")
ll
“Top dead center Top dead conter
7
Tensile
loads
lL
~
Connacting rod
eral load
wo| ery sax
| |e caus
Compressive coon
we
Power load
Strom combustion
pressure
Bottom dead center24 supercharged!
Fig. 3-5: Torque input into
the crankshaft versus crank
angle at approximately
two atmospheres of boost
pressure, Note that for the
supercharged engine, maxi
mum pressure occurs ot
‘about 20° ATDC, yet only
‘about 20% of the mixture
will have burned. Even with
high boost pressures, the
‘small amount burned will
not result in large maximum
pressure changes. As the
burn nears completion,
the greater mixture density
can double the pressure
at crank angles near 90°,
auch that torque input fo the
crank at that position can
be twice as great.
Clearly, the inertial load offsets some of the power load. It is further apparent,
as indicated above, that on the exhaust stroke, when the con-rod/piston reaches,
top dead center and is unopposed by combustion pressure (Iecause both valves,
are open), the highest tensile load is reached. This load is the most damaging of
all, because tensile loads induce fatigue failure, whereas compressive loads do not.
For this reason, when a designer sits down to do the stress analysis on the con rod
and con-rod bolts, the top dead center and bottom dead center inertial loads are
Virtually the only ones he is interested in knowing.
‘The thought of doubling an engine’s torque (doubling the power at the same
rpm) easily gives one the idea that the power load will double. Thank goodness
this isnot true. To show how power can double without the combustion chamber
pressures doubling is much easier done graphically. Any significant design load
‘changes would be based on peak pressure in the chambers, and it can be seen in
Fig. 3-5that with twice the mixture in the chamber, peak pressure is up only about
20%, There are two reasons for this disparity.
First, power isa function of the average pressure over the entire stroke of the
piston, not just peak pressure. The average pressure can be dramatically increased
due to the much higher relative pressures near the middle or end of the stroke,
while the peak does not gain significantly
Second, peak pressure is generally reached after only 18-20% of the mixture
has burned. Ifthe mixture quantity is doubled, 18-20% oft, too, will have burned
by the time peak pressure is reached, Since the total chamber pressure consists of
the compression pressure plus the burning gas pressure, itis impossible to double
the total pressure by doubling only one ofits constituents.
3
8
8
Cylinder pressure (psi
e 0 135
jl,
©\
oc
f of
‘Ato ‘Supercharged
Pressure at 90°chopler 3: the physics of producing power 25
As Fig. 3-5 shows, chamber pressure at crank angles nearing 90° is over twice as
gxcat when operating under boost. Thisis the point at which we get the huge torque
increases into the erank that create nearly twice the power. Note also that when this
hhuge increase occurs, the supercharged burning gas pressure is less than the atmo
{8 pressure was tits peak. Therefore, it does not create a damaging load.
If physics pe looks at the graph, he will tell you that the area under the
respective curves represents power. Thus, the difference in the two areas represents,
power gain due to the supercharger. It certainly is a neat deal that we can double
the power but not the load!
‘The preceding discussion establishes that the increased combustion chamber
pressure duc to a supercharger, and thus the power load, will have only a moderate
adverse effect on the structure of the engine, at less than racing boost pressure,
of course.
The Power Equation Engines make power by combining oxygen with fuel and burning the mixture in
some specific period of time. What we want to do is get more fuel and oxygen to
the same period of time. Power increase will be proportional to the
extent to which we can make that happen.
Four variables are involved, expressed in a simple equation:
combine
Power = Px Lx Ax N
+ Pis brake mean effective pressure, or BMEP. This isthe average pressure
in the combustion chamber pushing down on the piston.
# Lis the length of the stroke. This tells you how far the pressure is goings
to push the piston,
* Ais the area of the bore. This is, of course, the area the pressure has to
work on.
‘* Nis the number of putts the engine makes in one minute. This repre
sents how fast the engine is running and how many cylinders it has.
Fig. 3-6: "PLAN" is the
key to the source of all P = Buring gas pressure
power output
—| = Avea of bore
N= Putsimin
(om)
L= Lonath of stroke26
supercharged!
N-number ofelinders x E™
(For a four-stroke-cycle engine, the 1pm is divided by 2 because each cylinder
fires only on alternate revolutions.)
Now; there are several interesting relationships here! For example, take the
Pand multiply by the A and you have a pressure times an area, which is noth-
ing more complicated than the average force pushing down on the piston. Now
multiply the PA (force) by the length of the stroke, F (distance), and you have a
‘number that represents the work output (torque) of the cylinder. Then take this,
figure and multiply by the N (how fast the job is getting done), and the result is,
Power, the thing we are realy after.
Please note that this means
Power = torgueX rpm
Since the whole purpose of this exercise is to get more power, let's examine what
this PLAN gives us to work with.
First, le’s check out what working with the Nan yield. There are two ways to
get more putts per minute: add more cylinders or rev the engine higher. Higher
revs leaves litte to work with, as the whole field of endeavor known as blueprint-
ing (remachining all engine components to get blueprint dimensions exact and all
parts balanced) is almost solely for the purpose of allowing higher rpm with some
degree of safety. Consider that those nasty inertial loads go up with the square
‘of the rpm increase. Lighter and stronger parts also help raise the rev limit. That
means that at 7,200 rpm, the inertial load will be 144% greater than at 6,000 rpm.
Wear and tear lies up there. Ultimately, it is neither cheap, pleasant, nor durable
long-term to inerease power output by increasing the N. (The Ferrari Formula 1
mentioned in the previous chapter required a complete redesign to rev at 19,000
pm, an increase of only 1,000 rpm.) Since we cannot, for practical reasons,
increase power significantly with N, the only remaining choice isto increase torque
by doing something with the PLA.
So we must go back and look at the PLA a bit more. We can change the A.
Bored, it’s called, but how much does it help? Change A by an eighth of an inch
and maybe you'll gain 10%. Not worth the trouble. We can also change L. Stroked.
Another 10%, maybe. Obviously, then, if we're pursuing real power, the A and the
Ldon’t hold much promise. Changing P becomes our only hope.
How to successfully change Pis the crux of this book. Two ways exist: raising
the compression ratio or using forced induction. The heat ereated increases quickly
by higher compression and produces detonation. It therefore mandates high-octane
fuel. Moreover, raising the compression ratio only increases the efficiency of burn-
ing the same amount of air/fuel mixture. The best to be hoped forin changing the
compression ratio is about 4% more power per compression ratio point.
Using forced induction, P can be changed by factors of 1.2, 1.5, 2, 3, 4,5
The real potential is not known, since engineer types push the envelope every
year. Suflice it to say that doubling the power of a street engine, while not exactly
child’s play, is well within our reasonable expectations.
It isessential here to make clear that we are dramatically increasing power with-
out changing rpm. Therefore, itis torque ( PLA) that we are really changing.Fig. 3-7: Typical exomples
of the diflerences in torque
curves for atmospheric
engines and the three types
of superchargers.
Equivalent
Compression Ratio
Airflow Rate
chapter 3: the physics of producing power 27
350
al _ Contrtuga
“winscrew
3 250]
Zz Roots
© 200
E 150]
100]
50
o
070002000" s000_ 4000 S000 6000 7o00
RPM
A popular notion is that one can create an “equivalent compression ratio” (ECR),
which is supposed to represent the compression ratio of a normally aspirated
engine that would be needed to achieve the same end-gas temperature as a super
charged engine, where end-gas temperature is the result of both heat from the
supercharger and the compression ratio. It is incorrectly thought to be the stock
compression ratio times boost pressure ratio. In fact, equivalent compression
ratio means only a compression ratio that would produce the same peak chamber
‘temperatures and pressures near top dead center asa supercharged engine with a
lower compression ratio. Its not possible for ECR to produce anywhere near the
same power, because it doesn’t burn any more fuel per time, and fuel per time is
where power comes from. Without the extra mixture pushed into the chamber by
supercharging, the peak pressure will not stay high for anywhere near as long, and
the average pressure (BMEP) will show litte change. (Do not confuse equivalent
‘compression ratio with effective compression ratio, See the glossary and the dis-
cussion of the Miller cycle in Chapter 7.)
‘The airflow rate through an engine is usually referred to as cubic feet per minute
(cfim) of air at standard atmospheric pressure. The technically correct but less-
used term is pounds of air per minute, This book will use the semi-incorrect term
“cfm,” because cfin calculations are easier to make and are more prevalent in the
literature than pounds per minute, and the error is negligible.
To calculate the airflow rate of an engine without a supercharger—ie., no boost
cid x rpmx 0.5 x E,
Airflow rare~
rs 1,728
Here, airflow rate isin cfin and displacement isin cubie inches. The 0.5 is due
to the fact that a four-stroke-cycle engine fils its cylinders only on one-half the
revolutions, E, is the volumetric efficiency ofthe engine, and is explained in detail
‘on page 31, The 1,-728 converts cubic inches to cubic feet.
Example; In a small-block Ford, let size = 300 cid, rpm = 6,000, and E, = 80%.
Then
300 x 6,000 x0.5 x 0.8
1,728
Airflow rate =417 cfm28 supercharged!
‘The flow rate under boost can be determined by multiplying the basic engine
flow rate by the pressure ratio, which is explained below. In the small-block Ford.
operating at 12 psi boost:
Desired airflow rate = basic engine airflow rate x pressure ratio
= ofmx 182 = fin
(To convert cubic feet per minute to pounds per minute, use the conversion factor
of one pound of air equal to 14 cubic feet at sea level on a standard day:
#
min
min
nf
i
To correct for other altitudes, multiply by the ratio of the old air pressure to the
new air pressure, using the values in Table 3-1
Example: cfm @ 10,000 fe =
2058 4 417 =287 fn
2992
‘Table 31: Variation of ar pressure with aide
Aditude (.) Ai presue (in. Hs)
Sea level 2992
1,000 28.86
2,000 aaa
3,000 2681
4,000 25m
5,000 2490
6,000 neve
7,000 23.09
5,000 m3
9,000 2139
10,000 2038
1,000 1980
12000 903
13.00 1830
14,000 17385
15,000 1699
Pressure Ratio When we pump in more mixture, the measure of the increase isthe pressure ratio,
‘The pressure ratio is the total absolute pressure produced by the supercharger
divided by atmospheric pressure. Absolute pressure means the amount of pressure
above nothing at all. Nothing at all is zero absolute, so atmospheric is 14.7 psi
absolute at sea level. Two psi boost becomes 16.7 psi absolute, 5 psi boost is 19.7
absolute, and so on. Total absolute pressure is then whatever the gauge reads plusDensity Ratio
chopter 3: the physics of producing power 29
14.7. The pressure ratio thus becomes a reflection of the number of atmospheres
of pressure generated,
147 psi+ boost
147 pai
Pressure ratio =
Example: For 5 psi boost
14.7 pois psi
147 psi
PR- =134
In this example, approximately 34% more air will go into the engine than the
engine could consume by itself
For 12 psi boost
14.7 pit 12 psi
pre PRB gy
147 psi
Here, approximately 82% more air will be going through the system. Pressure
is also measured in bar, short for barometric (I bar = 14.7 psi). In the above
xample, a pressure ratio of 1.82 equates ro an intake pressure of 1.82 bar.
‘A rough idea of the pressure ratio required for an application can be found by
dividing the engine’s desired horsepower under maximum boost by the horse
power of the stock engine, Keep in mind thar this isan oversimplification and pro
vides only a rough estimate of the actual pressure ratio needed. The real pressure
ratio, particularly for non-intercooled blowers, may be much different—usually
hhigher—because it must take into account several factors discussed below.
“To take an example from Chapter 5 (Roots), ifour objective is 320 hp @ 5,500
‘pm and the stock engine produces 220 hp @ 5,500 rpm,
desired horsepower
[Peay ete
‘existing horsepower
320 psi
- oe
It might seem that a pressure ratio of 2.0 would make twice the power. This is
‘not true, as here is where a couple of little things start to go wrong. And those
things are not so litle
‘The first thing to go wrong isthe unfortunate thermodynamic fact that when airis
‘compressed to put more molecules ina particular volume, the compressing process
hheats the air and causes it to expand back some. Ifair is compressed to a pressure
ratio of 2.0, to make it twice as dense, it will expand back approximately 21% of
that amount duc to the heating effect, according to the formula for temperature
gain as a function of pressure ratio in Chapter 4. That is if the compressor is30 supercharged!
Fig. 3-8: Compressor
density ratio versus pressure
ratio. Density is degraded
by temperature; therefore,
‘actual airmass increase is
‘always less than that indi-
cated by the pressure ratio.
perfectly efficient and makes the air expand back exactly as the science of thermo-
dynamics predicts. However, no compressor is perfectly efficient. All compressors,
produce a greater temperature rise than the ideal, Thermal effi
of how close a compressor comes to the ideal.
ameasure
_, Compressor efficiency (E,)
7
ad i newer
Press. ratio
20)
fo 20 as 80
In mechanical terms, efficiency is a comparison of output and input, or final
and original, or actual and theoretical. Thermal efficiency is the ratio of actual
temperature to theoretical temperature. Efficiencies are almost always less than
1. Mechanical efficiency equal to 1 would be the perpetual-motion machine
Volumetric efficiency can be greater than 1 under certain conditions, as with
carefill intake and exhaust tuning. An overall system thermal efficiency greater
than 1 can be achieved in a supercharger system by cooling the intercooler with a
‘medium, ike ice water, whose temperature is lower than ambient. Ascertaining a
‘blower’s thermal efficiency lets us find out how badly we need intercooling.
If the compressor’s thermal efficiency is 50%, the air will be heated twice as
‘much as it theoretically should, and it expands back by 42%, So we may have
thought we had 100% more air but netted only 58% more. The greater the ther-
mal efficiency, the less ar i lost to expansion, and the denser the charge remains.
(The factors that determine thermal efficiency are discussed in the three chapters
‘on the specific types of compressors )
Calculating the supercharger’s compression and correcting for the tendency to
expand back creates a valuable number: the density ratio. Density is the number of
moleculesin a specific volume—say, pr cubic foot. Density ratio isthe real comparison
number we are after to estimate the power outputs for varying manifold pressures.
The density of air varies inversely with absolute temperature. If ai is heated
10% on the absolute scale (see glossary), it becomes 10% less dense. The density
ratio is the ratio of before-and-after absolute temperatures:chapter 3: the physics of producing power 31
original absolute temperature
Density ratio ~ 71 qbsalute temperature
To obtain absolute temperature, add 460° to the Fahrenheit temperature.
‘Therefore, ifthe measured air temperature of the compressor discharge is 210°E,
the final absolute temperature would be 670° absolute. If we know the tem
perature gain through the compressor rather than the compressor discharge tem-
perature, we must add the ambient air temperature to it, because ambient is the
temperature from which the gain starts. So if we know that the temperature gain
through the compressor on a 90°F standard day was 120°E, the final temperature
‘would again be 210°F, or 670° absolute.
Ifan intercooler is present, use the compressor inlet temperature and the inter-
cooler outlet temperature. If not, use the compressor inlet and outlet temperatures.
Density change as a result of intercooling is discussed further in Chapter 8
Volumetric efficiency, or Ey , of an air pump (engine or supercharger) is the
actual volume the unit pumps divided by the theoretical volume it could pump.
Itcan be considered a degree of “inability to pump”—that is, ifan air pump has a
volumettic efficiency of 78%, itis missing 22% of its displacement per revolution
For a fixed-displacement supercharger, the theoretical volume is the displace-
‘ment volume; itis also the volume of each cavity between rotor lobes times the
number of cavities.
‘Some compensation must be made for the supercharger’s volumetric eficieney,
'y 1 pump,” or the application will wind. up with less airflow than
expected. If the supercharger’s volumetric efficiency is 87%, for example, the lost
airflow can be compensated by turning the blower 13% faster or making it 13%
bigger. This is accounted for in the volumetric efficiencies ratio discussed in the
next section.
Volumetric efficiency is critical information in determining the size blower
cone needs, as a supercharger always pumps less than its displacement, (It might
seem that the thermal efficiency and volumetric efficiency of a supercharger are
related—that a portion of the air expanding back when heated affects how much.
air is pumped. However, the relationship between the two is actually remote and
complicated.)
In fixed-displacement superchargers, volumetric efficiency for a given boost
and shaft speed is an elusive quantity to nail down. The reason for this s the two-
faced nature of volumetric efficiency: it increases with shaft speed but decreases
with boost pressure, However, a number in the range of 92-95% should suffice
for most calculations, Examples in this book will use 92%. The practical result of
using approximations for engine and blower volumetric efficiencies, however, is
that although initial pulley-size calculations may put you in the right ballpark, it
is often necessary to try different pulley sizes to get the desired boost.
‘The fact that the centrifugal is a non-fixed- displacement compressor means that
it doesn’t pump a specific volume of air per revolution. Because it has no theoreti
cal pumped volume, it doesn’t have a volumetric efficiency, which is a comparison
of how much a blower actually pumps to how much it could theoretically pump
(its displacement). The lack of a defined displacement and volumetric efficiency
means we can’t calculate how much a centrifugal flows. All we can do is test it
and use the real data,32 supercharged!
Fig. 3-9: Compressor dis
charge temperature versus
pressure ratio. Why one
wants fo secure the high-
est compressor efficiency
possible: the greater the
efficiency, the lower the
temperature.
Volumetric Efficiency
Ratio:
When we look at a compressor map (discussed in Chapter 6), we sec real data.
Although volumetric efficiency can’t be measured separately, it’s part of the flow,
pressure, and speed results shown on the map. For the purpose of calculations,
the volumetric efficiency of a centrifugal can be considered 100%,
As with fixed-displacement superchargers, itis often necessary to try different
pulley sizes to get the desired boost.
as
Pressure ratio
15
foo iso 200-250 ~—~300~=—«50”~=~«OO
‘Compressor cischarge temperatures ("F)
“The effectiveness ofa two- pump system, like an engine and supercharger, is related
to the ratio of their volumetric efficiencies. A supercharger with greater volumetric
efficiency will aid the breathing of an engine more than one with low efficiency.
Also, the ability of an engine to accept air pumped in by a supercharger is related
to the engine’s own volumetric efficiency. Power output is directly related to how
efficiently the air is pumped by the supercharger relative to how efficiently it is,
received by the eng
supercharger volumetric efficiencies
Volumetric efficiencies ratio = MPE™ERINC? OUAMETTIE ITCIENCES
“ engine volumetric efficiencies
Because power is proportional to this ratio, it might seem at first glance
that as engine volumetric efficiency declines, power should go up. Stuffa rag
in the throttle body to halve the engine's volumetric efficiency and double the
power. But decreasing the volumetric efficiency to gain power doesn’t work
‘out, because the factors surrounding the quality of the mixture burn go haywire
at the same time,
Supercharger volumetric efficiencies are given in the previous section. Engine
volumetric efficiencies vary, but for general purposes itis reasonable to use 80%
for two-valve engines and 88% for four-valve engineschopler 3: the physics of producing power 33
Drive-Power Loss Ifthe 42% expansion described carlier occurs, would we get a 58% power increase
Fig. 3-10: Where the
drive loss goes.
with a pressure ratio of 2.0? No, because one more thing gocs wrong, It takes
power fo compress the ar, and the only power source readily available is the engine
itself. Therefore, the power the supercharger needs to compress the air must come
directly from the crankshaft—typically, 5-15% of the engine’s power. Of that per-
‘centage, partis lost in bending the belt around the pulley, partis lost in turning
‘the gears and beatings inside the blower, and part goes into useful work to produce
boost and flow. This book will refer to the sum of these three as drive-power loss,
We can also look at the bright side and express these losses as efficiencies, which
are more practical to work with than losses, by deducting them from 100%.
Belt loss
Belts require power to bend them around pulleys and, at redline speeds, typically
absorb 2-3% of the engine’s power, Belt efficiency is therefore about 97-98%.
Examples in this book will use 97%.
Adiabatic loss
The power lost as heat inside the blower is adiabatic loss. (“Adiabatic” refers to
an ideal process that occurs without loss or gain of heat.) Adiabatic loss is usually
35-50% of what goes into the supercharger. What goes into the supercharger is
what's left after we get past the belt loss. So if drive-power loss is 10% and belt
loss is 3%, what goes into the supercharger is about 7%. Adiabatic loss is 35-50%
of that 7%, or about 3% of the drive-power loss. The remaining 4% of the drive-
power loss is useful work
Examples in this book will use 40% for aiabatic loss, or 60% for adiabatic
efficiency, which is a satisfactory approximation if performance charts are not
available, Adiabatic efficiency is similar to mechanical efficiency, but mechani-
cal efficiency is not generally used when heat and pressure are involved, as with
superchargers.
Drive-power loss, the sum of belt loss, adiabatic loss, and useful work, is gener-
ally about 10% for boost pressures in the vicinity of 10 psi. Drive-power efficiency,
therefore, is 90%, which isthe figure used for examples in this book. Drive-power
Joss decreases to about 7% for boost pressures near 5 psi and increases to about 14%
for boost pressures near 15 psi, producing efficiencies of 93% and 86%, respectively.
Caleulation of drive-power loss is presented in Chapter 14.
7.8%
Into supercharger
‘about 34% about 94%
adiabatic loss useful work
‘going into the
supercharger34
supercharged!
Estimating Power Applying the above parameters, we can estimate the power resulting from super-
charging using the following calculations,
Example: Let engine power = 116 hp, boost = 6 psi, engine volumetric effi-
ciency (4 valves per cylinder) = 88%, non-intercooled volumetric efficiency = 92%,
ambient temperature = 90°F (a standard day), measured air temperature of the
compressor discharge = 210°F, and drive-power efficiency = 90%. Then,
147 psi boost
147 pai
_ EZ piso pg
147 pst
riginal absolute temperature
‘final absolute temperature
Density ratio =
460° + 90°
~ G60" 210° “9%?
As indicated earlier in this chapter, the initial pressure ratio and density ratio
are frequently inaccurate. A detailed example of a sizing calculation that produces
accurate results is given in each of the three chapters on the types of supercharg-
cers. However, for the purpose of illustrating the procedure here, we will assume
the numbers are correct.
supercharger volumetric efficiencies
Vouameric aiciencis ratio= ne volumetric effsiences
0.92
0.88
08
Applying these corrections to the engine’s original power produces the
following:
Power = original power x new pressure ratio x density ratio
x volumetric efficiencies ratio x drive power efficiency
then,
16x 1.41 0.82 x 1.05 x0.
Power = = 127 bhp
‘The reaction to this calculation should be twofold. First isthe startling realization
that the loss of 18% of the hoped-for power gain (as indicated by the 82% density
ratio) is due to intake charge heat. Second is that the pressure ratio gives us a lot
to work with if we can figure out how to avoid having it so badly degraded by
heat-related density losses.chopler 3: the physics of producing power 35
And Furthermore... Considering the large power: increases offered by the supercharger, what keeps
the entive structure of the engine from going south?
A proper answer to this question is a complete analysis of the inertial,
power, and thermal loads before and after supercharger installation.
If this 18 performed, the conclusion will be two interesting bits of
information.
First, the inertial loads in a modern internal combustion street engine are
so large at maximum power that the power component of the total load
is oflitle significance, For example, to induce as much power load into a
con-rod bearing as the bearing already sees from inertial loads, the actual
power of the engine would need to increase approximately 50%.
Second, the thermal load in an engine not originally designed for a
supercharger will cause an increase in component and cooling-system,
temperatures when operating under boost. The components and cool
ing system can handle the temperature inerease for a limited period.
‘This is true for Buicks, Porsches, Saabs, Volvos, Nissans, etc. Iti also
true for all aftermarket supercharger kits. The time limit is subject to
many judgments and conditions. Experience has led me to believe that
the time limit at full boost is on the order of 20 to 25 seconds. This is
an operational restriction but not one of any consequence. Consider,
for example: How fast will you be traveling if you hold full throttle in
1 600 bhp Mustang for twenty seconds? The answer is obviously an
impractically high rate of speed.
What is the best compression ratio for a supercharged engine?
‘There is no such thing as the best or ideal compression ratio. The simple
fundamentals are
‘*the lower the compression ratio, the easier it is to produce a lot of
boost with no detonation
‘*the higher the compression ratio, the greater the fuel efficiency and.
nonboosted response
Suppressing detonation is more difficult with a high compression ratio.
For all practical purposes, one is forced to use the compression ratio of
the standard engine. Serious efforts with intercooling make this both
possible and practical.
When should the supercharger start producing boost?
‘This isa decision you need to make based on your own objectives. flow
and mid-range boos is your bag, fixed splacement blowers will be appro-
priate. IFtop end is preferred, the centrfugals come into their own,
How will the supercharger affect driveability?
Electronic engine-management systems permit supercharging without
degrading the fine running of today’s vehicles. Carbureted blow:
through systems can be made to work well, but draw: through systems
will suffer many functional disadvantages—cold starts, emissions, and
smooth low-speed function will generally prove less than acceptable.Knock
Temperature
Relationships
The Balance of
Heat
Power output is ultimately limited by knock, and knock is caused by heat
Therefore, the ultimate power to be achieved is limited by heat. Success with a
supercharged engine depends on many details, but none is as important as manag
ing the balance of heat through the system. ‘The three major influences on this
heat are boost pressure, intercooling, and the compression ratio. Learning the
relationship between these major influences is fundamental to understanding what
the supercharged engine can ultimately do.
Knock isthe explosion that occurs in the combustion chamber when the air/fuel
mixture ahead of the flame front becomes overheated and spontancously com
busts before the flame front arrives. (Some controversy exists as to whether knock
is the event itself or the noise it produces. For purposes of this book, knock will
be considered the event itself.) Knock is different from controlled burning. The
heat that spontancously combusts a mixture that produces knock may come from
a variety of sources. These sources must be controlled for an engine to reach its
full potential
Knock is important because the resulting temperatures and forces are fiercely
high. The magnitude of the temperature produced by knock weakens pistons
much more than does standard operating temperature. Chamber pressure spikes
created by knock hit the piston with such a rapid onset of load that they become
impact loads. No piston known can withstand this for more than a few seconds.
Not only does the piston take a serious beating, but the top con-rod bearing shell
«an actually be pounded to the point of malfunction. Knock is virtually always the
«cause of failure in a supercharged engine. A blown engine, in supercharger lingo,
is an engine with a knock induced busted head gasket, ring lands knocked off the
side of the piston, or, in rare cases, a hole in the piston.
To understand how temperatures stack up as a result of boost pressure, intercooting,
and compression ratio, suppose a magic combustion-chamber temperature exists that
isthe maximum possible before onset of knock. Of course, the engine’s susceptibility
to knock will vary asa function of fuel octane, chamber design, and other factors, but
let’s use an arbitrary temperature of 1075° absolute. Keep in mind through this discus
sion that the 1075° figure isan arbitrary number. This represents about the absolute
‘temperature ofa 13-to-1 compression ratio on what is called a “standard day” (90°F,
‘or 550° absolute). Many tradeofis are involved in trying to keep this final tempera
3738
supercharged!
Heat Made by the
Supercharger
ture below 1075° absolute. The fundamental idea is that the more heat we remove
from the intake change, the denser it becomes, and the more boost we can use before
the temperature reaches 1075°. The whole process isa. juggling match: boost pres-
sure and compression ratio add the heat, and the intercooler removes some oft. This
relationship can be expressed as follows:
Without an intercooler Temperature added by boost pressure + temperature added.
by compression ratio must total less than 1075° absolute, or
Tye + Toy < 1078°
With an intercooler Temperature added by boost pressure — temperature removed
by intercooler + temperature added by compression ratio must total less than
1075° absolute, or
Tyg Tig+ Ter < 1078"
‘The presumption is thar whatever combination of boost pressure, intercooling, and
compression ratio we choose will be workable ifthe sum of the temperatures isles,
than 1075° absolute. (Remember that 1075° absolute is only 615° Fahrenheit.)
{tis both illustrative and fundamental to see how much a psi of boost will cost us,
in terms of temperature. This can be caleulated as follows:
(PRO28 X Trig) ~ Tay
where
PR= pressure ratio
Tyjg= ambient temperature on the absolute scale. (Examples in this
book will use the temperature on a “standard day,” which is 90°F
= 90° + 460° = 550° absolute.)
‘The exponent 0.28 in the numerator is determined by the gas constant, a
‘number that indicates the extent to which a gas heats up when compressed.,The
XY key on the fifteen-dollar calculator mentioned in the introduction will allow
us to find the value of PRO28, To raise a number to the 0.28 power, enter the
‘number in the calculator, press the x¥ key, enter 0.28, and press the equal sign.
For example, 2028 = 1.21419,
‘What this formula does is multiply the absolute ambient temperature by a
pressure-ratio factor (PR028) to find the temperature to which the charge will be
raised, Subtracting the absolute ambient temperature gives the temperature ain.
For example, the temperature may increase from 550° to 700° absolute, but the
temperature gain would be 150°,
Another way to express the temperature-gain formula is
(PR028 1) x Typ
which is the form used in this book,Heat Made by the
Compression Ratio
chopler 4: the balance of heat 39
Using the above formula, we can determine how much a 1 psi boost will raise
the temperature.
Temperate gin [ (mae ieee tet a J
x 550° = 10.2° absolute
This 10.2° san ideal temperature gain only. The real temperature gain is the ideal
number divided by the thermal efficiency of the air pump making the boost. Table
4-1 gives the thermal efficiencies (E,) of typical air pumps.
‘Table 4-1: Thermal efficiencies of typical ar pumps
‘Type Ee(%)
Roots 5
Centrifugal 75
Twin screw 70
“Turbocharger (typical) 75
Using these figures, we can calculate the real temperature gains for 1 psi of boost:
10.2°
0.55
10.2°
0.75
Typical Roots temperature gain ~ = 18.5° absolute
‘Typical centrifiyal temperature gain = = 13.6° absolute
10.2°
0.70
‘Typical srew compresor temperature gain =
4.6° absolute
Keep in mind that these are typical numbers, to give an idea of the relative size
of the increases. The real temperature gain per psi decreases with boost pressure
because of the 0.28 exponent in the formula and the fact that the blower’s effi-
ciency is not linear. For example, the temperature gain per psi at 15 psi boost is
about two-thirds of the gain at 1 psi boost.
Examine Fig. 4-1 for an idea of how serious these temperatures become. (The
graph is calculated with compressor efficiency remaining constant, regardless of
boost. This is not quite correct but is acceptable for illustration. All numbers are
calculated from the above figures.)
‘The compression ratio does virtually the same thing the blower docs: i raises the
temperature of the air charge based on the pressure ratio. Of course, here the
pressure ratio is called the compression ratio. One huge difference, however, is
that air compressed in the chamber does not experience a density loss, because it’s
in a scaled container, and the air molecules can’t get out. Therefore, unlike with
the supercharger examples above, this number does not need to be degraded by
engine efficiency.40 supercharged!
Fig. 4-1: Compressor
discharge temperature gain
a8 a function of boost.
Roots
220
180
160
140
Centtugal
“Temperate gain (*F)
Fie rarer C In aa S MNO NC OME icin amc)
Boost (psi)
‘Temperature gain caused by the compression ratio is calculated with the same
equation as for gain through the compressor, except that the compression ratio
replaces the pressure ratio:
‘Temperature gain = (CK928 ~ 1) x Tay
Example: Let the compression ratio = 9 to 1 on a standard (90°F) day. Then,
Temperature gain = (9°28 — 1) x 550° = 468° absolute
A gain of 468° absolute over an ambient temperature of 550° is 1018° absolute.
To ealeulate the chamber temperature directly, rather than finding the temperature
sain and adding it to ambient, we would not subtract the absolute ambient tem
perature (or, in this form of the equation, the “1”). The formula then becomes
‘Temperature = CR8 x Tay
= 9028 550° = 1018°Fig. 4-2: Chamber tem
perature gain as a func-
tion of boost for @ 910-1
compression ratio. These
temperatures are found by
Using the numbers from
Fig. 4-1 (and ombient tem
perature of 90°F) in the
femperature formula.
Heat Made by the
Supercharger and the
Compression Ratio
chapter 4: the balance of heat 4l
1450 Roots
1350 ‘Screw compressor
\
1300
1250 Centritugal
1200
1150
(Chamber temperature ("abs)
100
23 45 6 7 8 © 1011 1213 14 15
Boost (ps)
Finding the temperature in the combustion chamber after the mixture is squeezed
by both the supercharger and the compression ratio requires more than just add-
ing the temperature gains of the two squeezes. This is because the compression
ratio squeeze starts from the temperature produced by the supercharger squeeze,
not ambient temperature. Therefore, instead of using ambient temperature in the
compression ratio formula, we use ambient plus the temperature gain created by
the supercharger.
Example: In an engine with a 9-to-1 compression ratio and a Roots blower,
let boost pressure = 10 psi.
From Fig. 4-1, we can see that 10 psi boost from a Roots blower produces a
temperature gain of 156°F. Because the gain starts from ambient, the temperature
out of the blower is 90°F + 156°F = 246°, or 706° absolute. Then
Temperature = 9°28 x 706° = 1306°
Since the three types of superchargers have different thermal efficiencies, boost
limits dictated by the temperature limits will be different. Any combination of
boost pressure temperature rise and compression ratio temperature rise that cre-
ates less than our gain limit of 1075° absolute will work. For example, Fig. 4-242 supercharged!
Add the Intercooler
Fig. 4-3: Compressor
discharge temperature gain
afer intercooling, as a func-
tion of boost
shows that at 1075°, we could get about 2 psi out of the Roots and 3 psi out of
the centrifugal and the twin-screw. These are only approximate figures—the real
‘numbers would be somewhat higher. It’s clear, however, that unless we do some-
thing to reduce the chamber temperature, we can’t apply much boost before we
hit the 1075° ceiling,
‘The intercooler can rescue this bad temperature situation. Let’s ook at the whole
picture again when we place an intercooler between the supercharger and the
engine. Assume the intercooler will remove 85% of the temperature put in by the
supercharger. Fi 4-2 akes the numbers in Fi. 4-1 and applies an 85% reduction to
the compressor discharge temperature gain, yielding 15% of the original figure.
To calculate the final intercooled chamber temperatures, we use the same
procedure as in the previous section, inserting the intercooled temperature gains
from Fig. 4-3in the temperature formula for a 9-to-1 compression ratio, giving us,
Fig. 44, This shows that with intercooling, we ean run substantially higher boost
before reaching the arbitrary 1075° limit: about 10 psi for the Roots and 13 psi
for the centrifugal and twin-screw. Keep in mind that the 1075° limit is nota real
‘number but an approximate one.
Although this exercise in numbers is all of approximations, it’s easy to show,
for example, that you can run 40 psi boost intercooled at the same chamber tem
perature as 8 psi non-intercooled. This is an impressive argument for the benefits
and urgency of keeping temperatures in check,
= ‘Screw compressor
i
24
€ \
© 20 Centitugat
&
§
: 16
Pe
ote se FO T BRN 13 4 15
Boost (psi)Fig. 4-4: Chamber tem
perature gain after inter-
cooling, as a function of
boost for a 910-1 compres
sion ratio. These tempera-
tures are found by using
the numbers from Fig. 4-3
(and ambient temperature
of 90°F) in the temperature
formula.
And Furthermore . . .
chapter 4: the bolonce of heat 43
1100
eke suew
i compressor
B 1000
3 Contig
§ 1040
i
& 1020
1000
ote ee SOT RRND 15
Boost (osi)
What docs compressor efficiency mean, and why is it important?
Compressor efficiency means nothing more than the real temperature
of the air coming out of the supercharger under boost relative to a
calculated number based on thermodynamic equations. Calculate one,
measure the other, divide the calculated by the measured, and you
have compressor efficiency. Matching a compressor’s efficiency curve
to particular engine is important, in that getting maximum efficiency
somewhere near the power peak or maximum rpm means that the com-
;pressor has induced the lowest possible thermal load. “Highly efficient”
is a goofy expression invented by casual writers about superchargers to
‘mean nothing more than that whatever vehicle a supercharger is on gets
boost at low speeds.Fig. 5-1: These rotors ore
the heart of the Rootsstyle
blower. In their simplicity
cand beauty, they resemble a
modern sculpture.
The Roots
Supercharger
The Roots supercharger has the odd distinction of being the oldest of the super-
charger designs, yet subject to the most modern research. The Roots was origi
nally conceived as an air mover in nonautomotive applications. Until recently, its
construction was based on the abilities of machinery available at the beginning,
of the twentieth century, In the 1 jon undertook
design studies to create a modern Roots supercharger. Their R&D program
produced remarkable results. Not only were they able to dramatically improve
thermal efficiency of the classic Roots, the noise characteristics were also brought
within tolerance. It represents a remarkable engineering job, probably not feasible
before computer analysis and computer-controlled production machinery. Eaton
perfected the twisted-rotor design, then reconfigured the discharge ports based on
noise characteristics and noise suppression. They thus created a Roots supercharger
worthy of consideration for a vehicle from the drawing boards of Mercedes Benz:
the SLK sports car,
{-seventies, Eaton Corpor:
The T-Bird Super Coupe was the first modern application of the Roots to a
high-volume production vehicle. Pontiac and Oldsmobile followed soon after.
All have used the Eaton blower, but only Ford saw fit to add intercooling to the
‘equation. The Eaton will see wider application in the future and will likely spawn
a few new Roots blower designs by other major companies,
4546 supercharged!
Aftermarket Systems
Fig. 5-2: Perhaps the high
est science and greatest pro-
duceabily ever designed
into 0 Rootsstyle blower
cre combined in the Eaton
supercharger.
Racing
Popularity of the Roots supercharger among street rodders has grown to such
a point that tradition almost demands a “real street rod” be blown, and blown
by a Roots, This tradition has been built by a long and prosperous relationship
between Roots manufacturers and the American aftermarket. A wide variety of
kit and component makers have successfully filled the needs of the performance
enthusiast. Many of these companies have risen to the challenge of producing
their own blowers.
Although tradition presents a picture of a huge Roots blower siting atop an
equally huge V-8 engine, the Roots supercharger is atts best when applied to small
and medium-sized engines, Large engines already enjoy more torque than tires can
withstand at low speeds and can find large performance benefits only in the upper
gears, Smaller engines struggle everywhere for acceleration, which is exactly where
the fixed-displacement, low-speed pumping capabilities of the Roots can shine.
‘Through this inherent nature of the Roots to perform well at low engine speeds,
it is now possible to have a small engine become a “low-speed torquer.”|
Top Fuel
‘The Roots supercharger is currently hing of the hill in Top Fuel drag racing. 1
believe this is due to four fundamental reasons:
Boost rise is quick.
‘+ The Roots is virtually all these racers have used.
‘© The class racing rules prohibit other equipment.
* Scrious power can be obtained from racing fuel at low boost levels.
When your vehicle can top 300 mph in less than 5 seconds and can smoke the
tires even at that speed, horsepower may not be your major concern. These types
of supercharged vehicles are discussed further in Chapter 17.
Bonneville
Many of America’s legendary hot rodders have run and set records at Bonneville
with engines assisted by Roots superchargers. Such characters as Mickey
‘Thompson, Ed Iskenderian, and the Summers brothers created some of the most
colorful and interesting times in the history of Bonneville Salt Flats.chapter 5: the roots supercharger a7
Fig. 5-3: Note the strength
and craftsmanship Kuhl
Supercharging puts info
their big block blowers.
Fig. 5-4: This Kuhl mani
fold is typical of the hard-
ware needed to place a
oir of throttle bodies or
carburetors atop the big
Roots blowers.
Construction The Roots supercharger is composed of two meshed, lobed rotors. Geared
together and rotating, in opposite directions, the rotors mave the air charge
around an outside path in the cavities between lobes and the interior wall. The
volume in each cavity times the number of cavities is the amount of air the Roots
‘can move per revolution. The Roots has its niche in medium- to low-pressure
supercharging, where thermal efficiency is not so important, and quick response
and low-end torque are qualities most sought after. Keep the Roots in this terri-
tory and it remains a happy mechanism. Ignore the vision of Roots applications,
for nitro-burning Top Fuel dragsters—they’re a completely different world. They
run for only a tenth of a minute and burn a cousin of dynamite for fuel.
Fig. 5-5: Air enters a Roots Inet
blower at one side or at
the end, circles around the
inside wall of the rotor hous-
ing, and exits from a port at
the side.
outlet48 supercharged!
Fig. 5-6: A cross-section
and side view of a Roots.
Advantages
Disadvantages
Image courtesy Eton Corporation
low-speed boost
‘The great advantage of the Roots blower isits ability to make excellent boost at low
‘engine rpm, This is because its pumping capability doesn’t change much with rpm.
Volumetric efficiency may fluctuate, but in general, flow is proportional to rpm.
At very low speeds—say, 1,000 rpm—the Roots has substantial leakage past the
internal clearances. This is because leakage is in part, a function of time, so a slow
moving rotor allows more time for the leakage to occur. This explains why maximum
hhoost may nor he achieved until about one-third of the engine’s redline speed.
Simplicity
‘The simplicity of the Roots is a strong point. Its few moving parts and relatively
low rotational speeds lend a high degree of reliability.
No surge
Unlike a centrifugal compressor, the Roots does not experience surge, because the
throttle is generally mounted at the compressor inlet. Although this has its own
shortcomings, surge is not one of them. Without surge, the additional complexity
‘ofan antisurge valve is nor needed (although its close relative, the bypass valve, is
usefull addition), Surge is explained in Chapter 6.
Heat
One of the consequences of no internal compression ratio is the production of
‘more heat. Heat, a this book emphasizes, is the archenemy of power. The modern,
Roots blowers created by Eaton have brought thermal efficiency into an acceptable
range, although i still lags the twin-screw and centrifugal
‘The Roots pumps air in specific amounts based on its clearance volume. The
«clearance volume of a compressor is the open space between the rotor lobes minus
a small quantity called “carryback volume.” Carryback is a void at the pocket of
the recess between two rotor lobes and the meshing rotor. This small void does.
not get completely discharged when that segment of the rotor is exposed to the
discharge port. Rather, it takes in some of the heat created by pushing air into
the manifold and “carries it back” to the intake. This heat slightly increases the
temperature of the incoming air.Fig. 5-7: Clearance volume
isthe space remaining inside
the housing afer subtracting
the volume occupied by the
rolors and ports. The rotors
pick up cir at the top, camry it
‘around the perimeter, and dis-
charge itat the bottom. The
three cavities on each rotor
make this circuit once per
revolution. Therefore, clear
‘ance volume is also equal fo
six times the shaded area.
Fig. 5-8: Carryback vol
ume is the pocket between
cone rotors tip and the
other's cavity. This pocket is
created by the necessity for
different radii of curvature
botween the two surfaces.
chapter 5: the roots supercharger 49
eo
Throttle placement
Because the Roots is a fixed-displacement supercharger, the throttle is customar-
ily mounted at the compressor inlet. Without the design complexity of a bypass
valve, this becomes a necessity. If the throttle were downstream, closing it would
‘cause a buildup of pressure between it and the supercharger, forcing it to a stop
and wreaking havoc with the belts. A technique for blowing into the throttle with
fixed-displacement superchargers has been developed but 1s not yet available in
the aftermarket.
Certainly, in many ciccumstances, including a bypass valve will be easier than
relocating the throttle. However, the closer the throttie is to the intake valves, the
‘more crisply and responsively an engine will run. Itis currently popular to use the
bypass, yet leave the throttle in front of the blower.
Noise
The clearance volume in a Roots is released twice per revolution in a two-lobe
rotor and three times per revolution for a three-lobe rotor. This quantized dis-
charge creates a pulsing sound under boost. The two-lobe rotor tends to accentu-
ate the noise, because of its lower pulsation frequency (two pulses per revolution
rather than three) and greater discharge volume per pulse.
‘Noise is also proportional to the number of molecules being moved per revolu-
tion, Ieis easy to imagine that there would be no noise ifthe rotors operated in a
complete vacuum. Therefore, throttling the air charge entering the blower forces,
it to operate at the same part-thrortle vacuum as the intake manifold. Thus, with50 supercharged!
Fig. 5-9: Representive of
«@ large-engine Roots super
charger kits his assembly
from Weiand
Fig. 5-10: . and this
cone from B&M,
Fig. 5-11: The fundo-
7 Blower
mentals ofa Roots blower MMOL
pas not considered & AW
oO
Intercooler
Vacuum operated
bypass valveBypass Valve
Fig, 5-12: The byposs
valve permits “breath-
ing oround! or "venting
around!” the supercharger,
depending on operating
conditions,
Lubrication
chapter 5: the roots supercharger 51
few molecules present, itis quieter. Only when full throttle is applied does the
blower revert to full song.
Eaton Corporation created a twisted rotor that reduced the rate of opening of
the discharge port and thus the suddenness with which air is discharged into the
port. Varying the shapes of the discharge ports further reduced this suddenness.
“These features and heavy-wall tubes have reduced overall operating noise within
modern NVH (noise, vibration, and harshness) tolerances.
Cruise conditions and other normally aspirated operational modes can suffer from
‘undesired pumping losses. When cruising at approximately 13 inches of vacuum,
the system without a bypass valve will create about 20 inches of vacuum between,
the throttle and blower, because the Roots is pulling from the throttle plate. This
“boosting” from 20 inches to 15 is a constant and unnecessary waste of power
and also produces a small amount of heat.
‘Although the heat is not too harmful, the bypass valve fixes this situatio
allowing the Roots (or any other blower mounted after the throttle) to “free-
wheel” by pumping back into its intake side, balancing the pressure between the
manifold and the throttle body. When the engine is not under boost, the bypass
valve is held open by intake manifold vacuum. Depending on its size and throttle
opening, up to half the airflow can pass through the valve rather than through
the blower. (Although it might seem that on each cycle the valve would send.
progressively hotter air into the supercharger, this doesn’t occur, because a Roots
has no internal compression ratio.) When throttle position permits vacuum near
atmospheric pressure in the intake manifold, the bypass valve closes, and the boost
heads for the engine. Vacuum level required to close the valve can be regulated by
an adjustment and/or spring setting,
‘The lubrication requirements of the Roots blower vary with the manufacturer
and unit. Bearings pressure-fed by engine oil are the norm. The unique Eaton
supercharger, with an onboard reservoir, offers permanently lubricated bearings
that need no further attention. Both methods provide long-term durability52 supercharged!
Selecting the Roots Sclecting the appropriate blower size starts, as always, with determining one’s
Supercharger performance objectives. Each model has a specific pumping capability and a rev
Fig. 5-13: The Roots is not
exclusive to large-displace-
ment engines. The 1.éditer
Mazdo Miata onjoys @
substantial benefit kom the
small Eaton blower
limit that determine the amount of power it can produce. This is the ideal power
it could produce in a perfect world. Reality, however, requires the ideal power to
be degraded by the density decrease due to the temperature rise and by power lost
to volumetric (in)efficienty and in turning, ue blower. These factors combine to
indicate a specific size and rpm for a given application
All efficiency factors must be for the specific supercharger involved. The
‘numbers can vary tremendously from an antique 6-71 GMC blower to the latest
design from Eaton.
Volumetric efficiency
The Roots is a fixed-displacement supercharger. This means it will theoretically
pump a specific volume of air (its displacement) per revolution. As discussed in
Chapter 3, the actual volume pumped divided by the theoretical volume it could
Pump is the volumetric efficiency, or E,, Eis usually represented on a graph versus
pressure and flow, all of which are determined in lab tests.
‘Volumetric efficiency varies from make to make and model to model and can
range from a low of 30% to highs in the 90s. The higher the pressure the Roots
is asked to produce, the less the volumetric efficiency, as greater leakage is forced
past the rotor tips. Interestingly, the faster the rotor turns (within reason), the
greater the volumetric efficiency, as tip leakage has less time to occur. Volumetric
efficiency numbers are available from supercharger manufacturers or suppliers.
Fig. 5-H4illustrates two characteristics of fixed-displacement blowers: volumetric
efficiency increases with shaft speed but decreases with boost pressure. At 8,000 rpm,
raising the boost from 0.34 bar (5 psi) to 0.69 bar (10 psi) causes a loss of 4%.
Thermal efficiency
Pethaps the weakest characteristic of the Roots supercharger is its propensity for
‘making heat along with boost. Two factors contribute to the heat: lack of an inter
nal compression ratio, discussed in Chapter 1, and, toa lesser extent, cartyback of
a portion of the compressed air chary
c, discussed earlier in this chapter.Fig. 5-14: The hwofaced
nature of volumetric effi
ciency: it increases with
shaft speed but decreases
with boost pressure. This
is for an Eaton model 90
Roots blower.
Fig. 5-15: Thermal eff-
ciency of the Roots varies
with size and design but
generally does not exceed
60%.
Fig. 5-16: Typical Roots
compressor boost capability
versus rpm, as set for 8 psi
chapter 5: the roots supercharger 53
0
oe
=
z BG
Poo
3
B70
5
s
a
50.
2000 4000 6000 -—«6000-—«10000~—«12000~—«¥4000
‘Suoercharaer speed (rm)
260
PR+1.69
ee
Temperature gain F)
240
220
200
40
160
140
120
100
20
0
40
20
0,
‘2000 4000-6000 6000 10000 «+1200 —14000,
‘Supercharger speed (pm)
mage courtesy Eaton Corporation
‘Boost pressure (psi)
Yoo 20003000 4000-000 -—«6000~—«=7000,
‘Supercharger speed (rpm)54 supercharged!
Fig. 5-17: This cutaway
‘shows the transfer gear and
the twolobed rotor shope.
Calculating the Size
Another heat-related problem is that high boost pressures, say 12+ psi, can
‘cause thermal expansion of the rotors. To cool the rotors at these pressures, it is
often necessary to pass the air/fuel mixture through the rotors and housing. This,
climinates any possibility of meeting emissions requirements, because raw fuel clings
to the rotors, requiring a very rich mixture just to get enough fuel through the
supercharger to run the engine. Low-speed engine smoothness will sutfer as well,
‘Thermal efficiency varies with size and design. The large, classic Roots blow-
ers are pressed to achieve a thermal efficiency of 40%, With substantial effort and
‘considerable “enginuity,” the Eaton Corporation has raised the thermal efficiency
‘of some ofits recent Roots designs to the mid-60s,
Finding the size of the supercharger needed to do the job requires knowing your
conditions and objective. Conditions are the engine parameters: stock horsepower,
redline rpm, and volumetric efficiency. The objective is the power desired
To find this power, we need to take into account, as indicated above, what
\we're gaining from the supercharging and losing through breathing restrictions,
heat, and friction. Recall the formula for engine power from Chapter 3,
Desired power = stock power x pressure ratiox density ratio
X volumetric efficiencies ratio x drive power efficiency
Here we have the small dilemma that we don’t really know the exact pressure
ratio, because it depends on the density ratio, which depends on the pressure ratio,
and so on and on, This is a case of two unknowns in one equation, which presents
no easy math solution. Although a little bit like the chicken and the egg deal, it’s
satisfactory to make an educated guess at one number—the pressure ratio being
the easiest—and solve for the other, the density correction, then use successive
iterations to home in on a more accurate pressure ratio. When the results of two
successive iterations produce boost pressures within 1 psi of each other, it's time
to stop.
These calculations are correct only if the engine configuration remains the
same. They don’t work if modifications have been made to the compression ratio,
camshaft, or redline speed. Correction factors for those conditions are discussed
later in this section.chapter 5: the roots supercharger 55
Example:
Stock engine: 302 cid, 220 hp @ 5,500 rpm, volumetric efficiency (Ev) = 80%
‘Objective: 320 hp @ 5,500 rpm
(fa specific quarter-mile time is your objective, see the “racer math” formula in
Chapter 18.)
Asindicated in Chapter 3, we'll use 92% for supercharger volumetric efficiency and
10% for drive-power loss, which means 90% drive-power efficiency. From Chapter
4, we find that the typical thermal efficiency of an Eaton Roots is 55%.
Using the formula from Chapter 3,
supercharger volumetric efficiencies
Volumetric efficiencies ratio =
pmcercelencies ra ‘engine volumetric efficiencies
92%
- = 115%
80%
With the parameters established, we can begin the sizing calculations.
First calculation: Estimate the pressure ratio, Using the formula for pressure
ratio from Chapter 3,
desired horsepower
PR-
existing horsepower
320 psi
-— = os
220 psi
‘The pressure ratio can tell us the boost pressure needed, as a pressure ratio of
1.45 means that the boost pressure is 45 of an atmosphere above atmospheric
pressure of 14.7 psi:
Boost = 0.45 x 14.7 psi = 6.6 psi
Second calculation: Find the density ratio. ‘To find the density rat
to know how much the temperature rises.
As indicated in Chapter 4, we have to divide the ideal temperature gain by the
thermal efficiency of the blower. Using the formula for temperature gain from
Chapter 4 and dividing by 0.55,
), we need
(PR028 ~ 1) x Taig
‘Temperature gain = oe
(1.45028 — 1) x 550
Pe 0F
0.5556 supercharged!
‘The density change due to heating isthe ratio of the absolute temperatures before
and after the blower, A temperature rise of 110°F on a standard day of 90°F will
produce a discharge temperature of 200°F from a non-intercooled blower.
Using the formula for density ratio from Chapter 3,
Denso arg ~
* “als.
2 0.75
(1.45 28 — 1) x 550°
075
-81r
‘The density change due to heating isthe ratio of the absolute temperatures before
and after the blower. A temperature rise of 81°F on a standard day of 90°F will
produce a discharge temperature of 171°F from a non-intercooled blower.
Using the formula for density ratio from Chapter 3,
original absolute temperature
1 ra0 ~~ nal abiolute temperature
‘Then non-intercooled:
460° + 90°
Density ration Eo = 0.87
‘Therefore, the air is only 87% as dense as it would be ifr hadn't expanded hack
due to heating, This is the density-ratio number we would use in the power equa
tion in the next iteration if no intercooler is present.
While the density degrade of 13% is dramatically high, the use of an intercooler
of, say, 85% efficiency would drop the predicted temperature rise of 81° to 81°F
X (1 - 0.85) = 12°F, for a compressor discharge temperature of 90°F + 12°F =
102°F, The density ratio would then be
Intercooled:
460° + 90°
Density ratio = EXT = 0.98
indicating a density loss of just 2%.
‘Third calculation: Solve the engine power formula for pressure ratio and insert
the above figure for density ratio, to obtain the refined pressure ratio. As above,
we'll do this for both non-intercooled and intereooled blowers.
Desired power = stock power x pressure ratio x density ratio
x volumetric efficiencies ratio x drive power efficiency
desired posver
stock power x density ratio
x volumetric efficiencies ratio x drive power efficiency
Pressure ratio =chapter 6: the centrifugal supercharger 79
‘Then non-intercooled:
320 bp
Pressure ratio = ————~—2_
220 bp x 0.87 x 1.25 x 0.90
-149
Intercooled:
320 bp
220 fp x0.98 x 125x090 ~
Pressure ratio =
‘These two pressure ratios give the following boost pressures:
Non-intercooled:
Boost = 0.49 x 14,7 = 7.2 psi
Intercooled:
Boost =0.32x 14.7 = 4.7 psi
‘The intercooled calculations give us a pressure ratio and boost pressure lower
than our initial estimates, so we can stop. A pressure ratio of 1.32 will work if we
have an 85% efficient intercooler, which is not hard to do, One iteration is usually
enough for intercooled blowers.
‘Now we repeat the process for the non-intercooled blower, using the new
pressure ratio, until the new boost pressure is within I psi of the one calculated in
the previous iteration. If we do this, we find the following:
‘Non-intercooled, second iteration:
(1.49028 ~ 1) x 550°
Temperncure gain = ——-_— = 88°F
as 460° + 90°
Density ratio= "as ~ 0.86
320 bp
os
220 hp x 0.86 x 1.25 x 0.90
Pressure ratio =
Boost = 0.50 x 14.7 = 7.4 psi
Since the difference in boost pressures between this and the previous iteration is less
than I psi, we can stop. We will need a pressure ratio of 1.50, non-intercooled.
Fourth calculation: Find the cfm the blower needs to pump to achieve the
desired power. The desired airflow rate is the basic engine airflow rate times the
pressure ratio, Using the formulas from Chapter 3,80 supercharged!
Fig. 6-14: The small size
of the Rotrex, relative to
‘other centrifugal blowers,
means it has fewer limita.
tions for position
cid x rpmx0.5 x E,
1,728
Basic engine airflow rate =
‘Non-intercooled:
Desired airflow rate = basic engine airflow rate x pressure ratio
84 ofim x 1.5 = 576 cfin
Intercooled:
Desired airflow rate = basic engine airflow rate x pressure ratio
= 884 cfm x 1,32 = 507 cfm
We will do the following calculations for the intercooled blower only
Fifth calculation: Select the blower. Assume this example isa high-pet fix mane
street engine with intercooling and that its torque peak is 4,000 rpm. Therefore,
following the guidelines in the previous section, we'll place peak efficiency at an
airflow about 25% above the torque peak, or 1.25 4,000 = 5,000 rpm. We
to back up and calculate the cfm a this rpm of 5,000 and estimated pressure ratio
of 1.32.
To do this, we ean use the formula given above for the basic engine airflow
rate, substituting 5,000 pm for 5,500:
need
5 , 302 5,000 0,5 «0.80
é 1,728
Then
Desired airflow rate
fim x 1.32 ~ 462 cfmFig. 6-15: This mop is not
entirely bad. The maximum
efficiency is acceptable, but
it doesn't reach the maps
‘maximum. The distance
fo the surge line is good,
but the flow line is pointed
foward declining efficiency.
This provides almost no
potential for upgrade.
‘Ought to pass.
chapter 6: the centrifugal supercharger 81
Because most compressor maps give airflow in pounds per minute, we will need
to convert from cubic feet per minute, as indicated in Chapter 3:
102
amma Fa
us
&
Now select a compressor whose efficiency, when moving 33 pounds per minute
at a pressure ratio of 1.32, will be near the maximum available, The map in Fig.
6-15 shows the point headed off to the right, toward even lower efficiency if it
continued along the same flow path, indicating a compressor too small forthe job.
This would be a lousy choice. The map in Fig. 6-16 shows the point at just over
(65% efficiency, with no sign of much improvement with increased flow. It would.
continue up near the 65% line, approaching 70% but never reaching it. This would
work, but the compressor is too large. The map in Fig. 6-17 puts the point at about
77%, which will do splendidly. It also shows that the compressor wheel speed will
bbe about 39,000 rpm. We will need this supercharger speed to find the pulley ratio.
later in this chapter.
Pressure rao
0 4 8 12 16 20 24 25 s2 96 40 44 48
Airfiow (bimin)82 supercharged!
expansion path could
hardly be better, as it will
remain close tothe maxi-
mumefficiency island for a
considerable distance.
Pressure ratiochapter 6: the centrifugal supercharger 83
Drive Power No published data are available regarding the power requirements of driving the
Pulley Ratio
Belt Load
centrifugal supercharger. Therefore, the power required by the supercharger can
be calculated using the formula for drive power from Chapter 14. As we calculated
in the previous section, the required boost pressure is 4.7 psi
i boost x airflow
a
4.7 x 507
es on
‘The reason to use only boost above atmospheric is that the engine breathes,
the first atmosphere by itself.
As indicated in Chapter 14, this represents the power needed after the drive-
power loss. To find the 100% at the crankshaft, we must divide by the belt effi-
ciency and adiabatic efficiency. As discussed in Chapter 3, 97% isa typical figure
for belt efficiency and 60% for adiabatic efficiency. Dividing by 97% belt efficiency
and 60% adiabatic efficiency,
10 bp
darxo6 ~ 17"
‘Therefore, we would need a belt capable of carrying at least 17 horsepower.
Using the formula for pulley ratio from Chapter 14,
Pulley rasio = supercharger rpm at desired airflow
supercharger internal gear ratio engine redline rpm
‘The centrifugal blower has an internal gear ratio. In this case, let the gear ratio
be 4.5 to 1. Then
000
Pulley ratio= "= 1.58
4.5.x 5,500 rpm
Therefore, the erankshaft drive-pulley diameter must be 1.58 times the supercharger
pulley diameter. Ifthe supercharger was supplied with a 2.5-inch-diameter pulley,
Crankshaft pulley diameter = 2.5 in. x 1.58 = 3.95 in.
‘We would expect to find a pulley within 1/16 inch or 1 millimeter.
[As discussed in Chapter 14, determining the belt load allows us to size the idler
pulley bearing and, therefore, the idler pulley. Using the formula from Chapter
14 for bele velocity,84 supercharged!
crankshaft pulley diameter cranksbaferpm PE
Balt velocity =
229 wee
Ifthe crankshaft pulley diameter is 3.95 inches and the crankshaft speed is 5,500 rpm,
395%5,500 yg
Belt velocity =
229 we
‘As described in Chapter 14, we must also convert horsepower to foot-pounds
per second, using the conversion factor of I horsepower = 550 fi-lb/sec. Then
tb lb
17 ipxs50 © 350 £2
psec see
and
‘Force = eee
a
tb
- =98 Ib
98
‘This 98 pounds represents the load on the drive belt.
Intercooling The centrifugal supercharger presents one specific difficulty with regard to
intercooling. The loss of boost incurred by the drag through the system must
bbe regained cither by increasing the speed of the compressor wheel or by fitting,
a larger compressor wheel. Frequently, the compressor is asked to run flat out at
engine redline speed to produce the boost desired. “Flat out” is usually defined
by the limits ofthe step-up gears inside the supercharger, and running them faster
will rapidly decrease their life. This situation points to the need to know the exact,
limits of your centrifugal blower and the margin remaining, and/or planning to,
add the intercooler from the beginning,
‘The design of an intercooler system for the centrifugal supercharger must,
above all, optimize internal streamlining and airflow areas for the least possible
pressure loss. Without proper forethought, one can fit an intercooler onto the
supercharger, lose boost, find that the increased air density has caused a lean condi-
tion, and now the engine knocks. Plus the whole thing goes slower. Altogether a
disappointing experience. But the problem is the planner, not the intercooler.Fig. 6- The new Novi
2000 blower from Paxton
incorporates modern diesel
technology into the design
of the compressor wheel,
offering high thermal eff-
ciency.
‘Mounting the
Centrifugal
Supercharger
And Furthermore...
chapter 6: the centrifugal supercharger
85
‘Mounting the centrifugal supercharger presents no serious problems. Its short dis-
tance from front to rear tends to load the mounting lugs more and makes vibration
harder to eliminate. As a result, the builder should make the mounting lugs about
50% stiffer and/or su unger than for the longer superchargers. Due to the greater
chance of vibration, fastener tightness should be checked every 10,000 miles,
What does it feet like to drive a properly st up supercharged car?
‘A supercharger can justifiably be called a torque multiplier: the more
boost, the more torque. This situation is analogous to gear ratios. For
example, a third gear with a tranny ratio of 1.4 will develop 40% more
torque at the rear wheels than a fourth-gear ratio of 1.0. A boost pres:
sure of 6 psi will increase torque by about 40% (using an intercooler).
‘Thus you can see that 6 psi boost will produce fourth-gear acceleration
Virtually equal to a stock automobile’s third-gear capability. Imagine
‘what the proper supercharged car will do in second gear! Another rea
sonable comparison is that a proper supercharged car operating at 10
psi boost will do 0-60 in two-thirds the original time; i. 6 seconds,
versus 9 seconds.
Will my transmission and drivetrain be adversely affected by te supercharger?
Very unlikely. Consider that the drivetrain endures more torque in first
gear from the stock engine than almost any supercharger can produce in
second gear. Occasionally a clutch comes along that won’t do the extra
duty. Most clutch problems are going to crop up when shifting habits
are less than acceptable or boost pressures exceed 10 psi. Otherwis
not to worry,Fig. 7-1: The screw com
pressor components and
‘machinery are all quite sim
ilar to the Roots. The shape
of the rotors isthe singular
significant diference.
The Screw
Compressor
Supercharger
In the 1870s, a German inventor named Krigar came up with an idea for a rotat-
ing twin-shaft air pump that compressed the air moving through it. Several factors
drove the quest fora new form of supplying compressed air toa variety of industrial
applications. First, the ability to move ar at low rotating speeds was urgent, because
electric motors weren’t then quite what they are now, and the piston engine was
only a novelty. Second, an internal compression ratio would allow higher pressure
ratios while producing less heat. The vane-type compressor was available then that
satisfied both counts, but friction was high, and vane types are inherently out of
balance and therefore seriously limited in scope. The need fora high-speed unit to
satisfy high flow demands dictated small 1o101 dianneters, w avoid excessive centrift
gal loads and radial expansion. Small-diameter rotors can also improve thermal and
volumettic efficiencies, because clearances can be tightened up, reducing tip leak
age. These design requirements were all met with the screw compressor concept.
The screw compressor (commonly referred to asa twin-screw) was an industrial air
compressor well before the automobile first appeared.
Incorporating this idea into a supercharger had to wait until a Swedish engi
neer, Alf Lysholm, grasped virtually the same concept in the 1930s. Lysholm
carried the development of the twin-screw orders of magnitude further, to the
extent that today, itis also referred to as a “Lysholm” supercharger. However,
this name is now a trademark of the SRM company. Therefore, this book will refer
generically to the “twin-screw” supercharger,
8788 supercharged!
Construction
Fig. 7-2: The rotor profiles
of the twinscrew require
cover seven hundred coor-
dinate points to machine.
Tolerance is 0.00157 inch
(0.04 mm).
Fig. 7-3: The real science
of the twin-screw is the
shope of he rotors. The
shape is also why costeffec:
tive, largescole production
had fo wait for manufactur
ing capability o catch up
Advantages
The commercial use of the twin-screw was initially imited to high-priced appli
cations, due to the complexity of machining the two twisted, screw-like rotors. The
past decade’s flourishing of numerically controlled production machines has made
the twin-serew supercharger much less expensive to manufacture, Of the thr
types of superchargers, the twin-screw would seem to enjoy the greatest overall
technical ment, Pethaps its popularity will one day reflect that cri.
The twin-screw’s layout is simple. The convex (lumped) rotor meshes with the
concave (grooved) rotor to draw air in the aft end and discharge it out the front oF
the side at the front. The internal compression process takes place along the flow
path. The rotors are geared together and never touch, although the edge clear
ances are tight, as allowed by the small diameters. The two rotors can be perfectly
balanced. Since the pumping path is axial and rpm capability high, the diameters
need not be large. Hence, the twin-screw enjoys most of the advantages of the
Roots yet few of the disadvantages.
out
Female Male
Thermal efficiency
Asdiscussed in Chapter 1, the twin-screw enjoys high thermal efficiency, almost equal
to that of a turbocharger-style centrifugal compressor. This allows the twin-screw
to lay claim to the highest thermal efficiency of any fixed-displacement compres
sor—due, in large part, to its internal compression ratio. As Fig, 7-12 indicates, the
tevin can run in excess of 70% thermal effcieney for most of its range. Like the other
two types, however, it loses efficiency at both low flow and maximum pressure,
‘An odd characteristic of a supercharger with an internal compression ratio is
the production of heat at both idle and cruise, The twin-screw’s internal compresFig. 7-4: A bottom view
‘ofa Kleeman designed
‘Mercedes supercharger,
with @ water fo air inter
cooler and manifold cleverly
integrated into one unit. A
mechanical water pump
driven from the same shaft
1 the supercharger pro-
vides 40 L/min for the inter
cooler water cooling circuit
chapter 7: the screw compressor supercharger 89.
sion ratio requires slightly more power to drive the supercharger when not under
boost, because of the it’s resistance to being compressed. (This doesn’t occur as
much in centrifugal superchargers because they have a lower internal compres-
sion ratio.) The process of compression releases heat into the casing that makes
the twin-screw warm to the touch a ile. Heat in the air charge when the engine
Js not under boost is relatively unimportant and is partly alleviated by the bypass
valve, discussed later in this chapter. So we are let with the strange situation that
the ewin-screw makes more heat off boost and less under boost than other fixed-
displacement superchargers.
Volumetric efficioney
The twin-screw’s ability to pump its internal volume of air per revolution
approaches 95% at low pressures. Volumetric efficiency drops off as the pressure
ratio rises, just as with the Roots. At pressure ratios near 3.0 (30 psi boost), the
volumetric efficiency of the twin-screw can drop as low as 80%
High boost pressure
Of the fixed: displacement superchargers, only the twin-screw is comfortable with
pressure ratios much in excess of 2. The relatively high thermal efficiency permits
higher boost and doesn’t offer a clear boost limit that would dictate when the
charge has become too hot to be of further practical use, To take advantage of this,
high boost pressure is another story and calls for serious engine preparation.
low-speed boost
‘The twin-screw, as well as all other fixed-displacement superchargers, can produce
prodigious boost at low engine apm. At very lew sperds—say, 1000 rpm—the
‘win-screw, like the Roots, “leaks” substantial flow past the internal clearances, so
it takes a while to “catch its breath” and get going. Nevertheless, due to the tight
clearances of the rotors, the twin-screwis the most potent ofall superchargers for
producing high boost pressure at low engine speeds.
Low-speed characteristics are highly influenced by the maximum: boost objec-
tive, Ifthe twin-serew is pulleyed to produce greater top-end boost, it wll also be
turning faster and producing more boost at lower speeds as well90 supercharged!
Fig. 7-5: Typicel twin
screw boost capability ver:
sus rpm, as set for 10 psi.
Disdvantages
10
Boost (psi)
000 2000 3000 4000 +5000 6000-7000
Engine rpm
Under certain circumstances, excessive low-speed boost can be a problem. The
smooth running of any engine is in part related to the number of putts the engine
makes per revolution. A V-12 can take huge boost pressures at low rpm and con
tinue to ran smoothly with six putts per revolution, but a four cylinder engine, with
just two putts per rev, docs not enjoy that advantage. The four-cylinder engine has
{gaps in the torque input to the crank during which the crank is actually coasting,
‘This causes the torque input to the crank to oscillate between zero and maximum,
‘The V-12 engine never lacks torque input, because the four more putts per revolu:
tion have substantial overlap. Therefore, the average torque input into the crank
is higher, because it varies between a higher minimum and the same maximum.
‘The additional combustion-chamber pressure when under boost aggravates this
difference in average torque input into the crank ofa four-eylinder engine, which,
can run very roughly at, say, 6 psi or more, at or below 1,500 rpm,
While thoughts of great low-speed boost continue to tantalize the novice
power enthusiast, gobs of boost at 1,500 rpm is not what makes a fast car. Pleasant,
‘maybe—but real power s reserved for the upper rpm ranges when accompanied by
high torque created by the high boost. Ifthe objective is greater low-end torque,
and high power is not a serious requirement, then design to the requirements and
be happy with the results,
Throttle placement
Some current screw compressor kit designs position the throttle body right at the
inlet. Use caution at this joint, as it is easy to shield inlet air flow to one rotor, ead
ing toa 15-20% flow loss. Move the throttle body away from the blower enough
to permit good flow between it and the inlet ends.
Throttle response
As with the Roots, the need to move the throttle to the blower inlet usually softens
up throttle response, due to the considerably larger intake manifold, or throttled
volume, Although not disastrous, itis not an improvement.Bypass Valve
Fig. 7-6: Fixeddisplace-
‘ment blowers equipped with
«@ bypass valve will experi
‘ence a noticeable gain in
cruise economy, because
the blower will merely pump |
in a loop, with litle power
los. Intake is through the
rear of the case by way of
the casting at lef, which
attaches fo the throtle body.
Discharge is through the
wider flange bolted to the
top of the unit and exiend-
jing down. Bypass pressure
is vented from the back of
the discharge por, through
the hose fo the right and the
bypass valve, back to the
intoke
chapter 7: the screw compressor supercharger 91
Noise
The twin-screw creates a noise due both to being a fixed-displacement super
charger and having an internal compression ratio. Like the Roots, it creates a
noise because it discharges in amounts defined by its clearance volume as each
volume passes through the discharge port. Unlike the Roots, it adds a compres-
ston-release “pop” when the air is released into the intake manifold, because of
the internal compression ratio. A three-lobe twin-screw will make three pops per
revolution and is often running about twice engine speed. Therefore its frequency
is fairly high, and the tone isa singing sound. Part-throttle noise is minimal asthe
upstream throttle reduces the number of molecules in the inlet chamber that are
available to be compressed by the internal compression ratio.
At low-speed boost, say 8 psi or les, thisis nota problem. At 10+ psiit becomes
piercing, and some precautions may need to be taken, similar to those taken on the
‘exhaust side ofan engine. The features that suppress noise are thick material sections,
heavy-wall tubing, overlapping tube joints, and thick rubber flex joints These features
‘were employed by Mazda with the twin-screw in the excellent Millenia sedan.
‘As with the Roots, the upstream throttle isa conduit for compressor noise when
wide open. When closed or partially closed, it offers some noise suppression.
Like any fixed-displacement supercharger, the twin-screw benefits from a bypass
vahe, The twin-serew’s internal compression ratio produces elevated engine air
intake temperature at cruise, because it “boosts” the air charge from a vacuum
between the throttle and the supercharger toa lesser vacuum after the supercharger,
‘Thisis the same principle as making boost above atmospheric pressure, except that
iLoccurs below aunuspheric. It simultaneously wastes engine power and produces
heat. With the bypass valve, this compression heating effect, although not elimi
nated, is somewhat reduced, 2s described in Chapter 5
The bypass valve serves one more useful purpose besides those described in
Chapter 5 for the Roots. This arises when backing off the throttle at high engine
speeds. In this situation, the internal compression ratio of the twin-screw, gener-
ally between 1.4 and 1.6 to 1, creates a local temperature spike of several hundred.
degrees Fahrenheit. This occurs because the supercharger is forced to make a pres-
sure ratio as high as 5 or 6 to 1, by boosting from 29 inches of vacuum to about92 supercharged!
Intercooling
Lubrication
Fig. 7-7: The Autorotor
enjoys the option of being
pressurefed with engine oil,
An oilflow metering orifice
‘must be installed at the
entry to the supercharger
gear case. The gears and
bearings are lubricated by
splash as the outer edge
of the larger gear passes
through the sump. Excess oil
lows out the drain line and
returns fo the engine.
24. The air temperature may be quite high for an instant, but because the mass of
air in the supercharger at a vacuum of 24 inches is small, the heat doesn’t damage
supercharger parts. However, it can melt the grease in the bearings. (This doesn’t
‘occur with the centrifugal supercharger because the throttle is after the blower.)
Depending on its size and throttle opening, up to half the airflow can pass
through the bypass valve rather than through the blower. Although it might seem
that on each cycle it would send progressively hotter air into the supercharger,
this doesn’t occur, because the heat of compression is lost when the air expands
in the manifold. Regardless of the heat reduction on expansion in the manifold,
this process is not completely reversible. Therefore, some work is actually lost.
‘The bypass valve for a twin-screw supercharger is the same as for a Roots; see
Fig. 5-12.
Regardless ofits tendency to heat the aie charge less under boost than the Roots
blower, the screw compressor uniquely produces some heat all the time. This
additional problem requires more intercooling capacity than any other form of
supercharging. An air/ai intercooler need only be expanded by approximately
10% to deal with the cruise condition heat. The water-based intercooler must use
a greatly increased front heat exchanger, else the water temperature will rise to the
point of being useless when boost is applied
Some twin-screws enjoy the option of being pressure-fed with lubricant from the
engine or carrying their own oil in an onboard reservoir. The simplest approach is to
use the onboard reservoir and top it up periodically as required, Because the oilisslowly
depleted inn upctation, this may not prove the most reliable path for the neglectful
‘maintenance person. Topping up the oil should be considered a 2000-mile necessity.
Pressure-feeding the gears with engine oil provides a substantial benefit for
forgetful operators. The somewhat more complex requirements of oil feed and
drain lines should not influence the installer/designer, who should do what he
feels best suits the circumstances and objectives of the vehicle and its user.
“The pressure-feed requirements can easily be met with standard engine oil pres-
sure, as the only requirement is maintaining a given level in the gear case. Standard
engine oil, either mineral or synthetic, is entirely satisfactory. An oil-flow metering,
orifice of approximately 0,025-0.030 inch diameter, supplied with the Autorotor,
‘must be installed a the entry to the supercharger gear case. It permits an oil sump
to be maintained in the supercharger's gear case at all times but prevents engine
oil pressure from filling up the gear case and pressing past the seals,
Gear case,
2
Feed oll fine
Restctor orifice!
O spray nozzle
honey Drain tine
oe
love!Fig. 7-8: Top: The oilline
brace at the frame forces
the oil line and fitings to
carry loads induced by
‘engine rocking. The motion
must be absorbed by the
short distance “A"; there:
fore, the loads are poten.
‘ally large and damaging.
Bottom: With the brace
cttoched fo the engine, the
fittings will not experionce
cany bending load. All flex:
ing of the oil line occurs
‘over the long, flexible por
tion "B,” inducing only low
stresses and helping elimi
nate failures.
Fig. 7-9: In pressure feed:
ing a twinscrew, one of the
access holes in the the case
is forthe oll eed. One of
the two lower holes is for
the return. One of the two
higher holes con be used as
«a breather. The fourth hole
is plugged.
chapter 7: the screw compressor supercharger 93
‘One of the access holes in the case is used for the oil feed. One of the two lower
holes is used for the oil return to the erankease. One of the two higher holes is
vented to the throttle inlet, the same as a crankease breather, of to the valve cover.
‘The breather can also run fiom the pulley extension bearing (ifthere is one) to the
jne’s breather. The fourth hole is plugged. The threads in the gear cover are
British Standard Pipe; plugs are available from fastener supply companies like Wilson
‘ot Goodridge, which can be found in the supplier list at the end of the book.
engi
crore | \
Bad
6
Good
Ventilation to
—— engine From engine
Engine valve oil pressure
Engine
(oll crainage
Engine ot
‘sump94 supercharged!
Fig. 7-10: A variety of
‘methods exist fo attach the
oil drain fing fo the sump.
Sturdiness and the least
umber of ports determine
the join’s merit
Segment of tube
Ns
fT)
re
-Weld or raze
“(AF
reraft bulkhead:styefting
seen
Le
a — Segment of tube
=)
thread on cast oll pan ‘Seal with bonding agent
Suitable for use on steel
‘The oil drain is gravity-powered only; therefore, it must be downhill ll the way
to the oil sump. Make the inside diameter ofthe drain line a minimum of 1/2 inch.
Oil should preferably exit into the sump above the oil level. Ifit lows into the sump
below the oil level, the small added resistance inthe line may cause some oil to escape
through the sca at the rotor bearings and into the charge ai. This will increase oil
consumption, dilute fuel octane, louse up emissions, and make a general mess.
‘The Miller cycle is a valve timing variation made possible by a fixed-displacement
supercharger. Although this theoretically applies to the Roots as wel as the twin~
screw, the Miller cycle takes advantage of high boost pressure. The Roots is not
as efficient at high boost and is not generally used in that range.
‘The Miller cycle centers around the premise that the compression ratio and
expansion ratio can be different. Strictly defined, compression ratio is a ratio of
volumes and is independent of other factors. By the same definition, the expansion
ratio is equal to the compression ratio. However, if the intake valve is held open
much later in the eyele than normal, say to about 70° after bortom dead center
(rather than to the typical 35° or so), the piston rising in the bore will not have the
ability to compress the air until the valve is closed, because some of the charge will
be pushed back out of the cylinder. Thus, the volume of the cylinder “effectively”
becomes the volume remaining above the piston crown when the piston is nearly
halfway up the bore—when the intake valve finally closes.
All through the extended intake-valve cycle, the supercharged airs introduced
into the cylinder, its greater density more than making up for the lost cylinder
compression. This produces an effective compression ratio (sce glossary) signifi
cantly less than that allowed by standard valve timing, (Do not confise “effec
tive compression ratio” with “equivalent compression ratio.”) With the smaller
effective compression ratio, the heat of compression is vastly reduced, permitting,
a significantly larger amount of boost pressure before the combustion chamber
temperature is back up to figures typical ofa high-performance, normally aspirated
engine, The expansion ratio is still the same 10 to 1; thus, the power generated is
that ofa high-pressure supercharged engine with a 10-to-1 compression ratio, yet
the knock characteristies are those of an engine with a 7-to-1 compression ratio.ig. 7-11: The Miller cycle
holds the intake valve open
much later in the fourstroke
cycle than normal—to 70°
ABDC rather than 35°. This
produces a lower effective
compression rotio than
with standard valve tim-
ing, reducing the heat of
compression and permitting
higher boost without knock.
Selecting the
Twin-Screw
Supercharg
Fig. 7-12: Avtorotor per-
formance charts come in
pressurevatio increments
of 0.2 bar. This groph, for
the model 31.50, is for a
pressure ratio of 1.6, which
represents 9 psi boost. Note
that the bottom curve shows
compressor discharge tem-
perature (in celsius), unlike
the Eaton Roots graph (Fig.
5-14), which shows temper
ature gain [in Fahrenheit).
chapter 7: the screw compressor supercharger 95
Exhaust closes
5° ATOC,
Millor eye:
Intake valve
closes 35° Exhaust
later han normal ‘opers
(70° ABDC) 47-49
Norma’ BDC
35" 7
‘One downside must be solved. ‘The late closing of the intake valve dramatically
reduces low-rpm torque. This can be countered by using a fixed-displacement
supercharger that produces boost pressure of around 10 psi at as low as 2000 rpm.
Both the Roots and twin-screw can do this. So much boost is produced, in fact, that
Jow-end torque with the supercharger is characteristic of normally aspirated engines
ofapprosimately 50% greater diplacesnent. AC midrange and the top end, these can
approach 20 psi with standard pump premium gasoline of 93 octane. High boost
pressures are one of the strengths of the twin-screw, as it ean maintain significantly
higher thermal and volumetric efficiency than the Roots in those pressure ranges.
‘The Miller cycle is currently available in the Mazda Millenia It requires a modi
fied camshaft but retains standard driveability and low speed response. While afas
cinating scheme, this technology has not yet made its way into the aftermarket
Because the twin-screw mechanism is the most complex among superchargers, it
follows that there are fewer manufacturers, Autorotor and SRM, both of Sweden,
are the two largest builders. Sprintex and PSI are smaller and more specialized,
‘The final selection ought to consider the ramifications of size rather than just
the calculated best choice. A supercharger turning at a slower speed will reduce
‘Volumetric eficlancy
‘Adiabatic efficiency
Drive-power consumption
(9) vondunsuoe somod- anna
Discharge temperature
5,000 10,000
‘Supercharger speed (rpm)9
supercharged!
Calculating the Size
noise (and consequently noise suppression efforts) and will increase the life of the
blower. No response problems crop up if the blower is slightly larger than the
calculated ideal. Space and cost permitting, when a choice exists, a better system
will usualy result if the blower is on the high side of ideal.
‘The procedure here is the same as for the Roots, in Chapter 5, except that the
typical thermal efficiency of the twin-screw is 70% rather than 55%. Using the
formula for engine power from Chapter 3,
Desired power = stock power x pressure ratio x density ratio
x volumetric efficiencies ratio x drive power efficiency
Here again, we will make an educated guess at the pressure ratio, then correct
it in successive iterations. When the results of two successive iterations produce
boost pressures within 1 psi of each other, it’s time to stop.
These calculations are correct only if the engine configuration remains the
same. They don’t work if modifications have been made to the compression ratio,
camshaft, oF redline speed. Correction factors for these conditions are discussed
in Chapter 5,
Example:
Stock engine: 302 cid, 220 hp @ 5,500 rpm, volumetric efficiency (Ev) = 80%
Objective: 320 hp @ 5,500 rpm
(Ifa specific quarter-mile time is your objective, see the “racer math” formula in
Chapter 18.)
As indicated in Chapter 3, we'll use 92% for supercharger volumetric efficiency
and 10% for drive-power loss, which means 90% drive-power efficiency. Using the
formula from Chapter 3,
supercharger volumetric efficiencies
ongine volumetric efficiencies
Volumetric efficiencies rai
92%
80% ale
With the parameters established, we can begin the sizing calculations.
First calculation: Estimate the pressure ratio. Using the formula for pressure
ratio from Chapter 3,
desired horsepower
‘existing horsepower
PR
320 psi
20 psichopler 7: the screw compressor supercharger 97
‘The pressure ratio can te us the boost pressure needed, asa pressure ratio of
1.45 means that the boost pressure is 0.45 of an atmosphere above atmospheric
pressure of 14.7 psi
Boost = 0.45 x 14.7 psi = 6.6 psi
Second calculation: Find the density ratio. ‘To find the density ratio, we need
to know how much the temperature rises. As indicated in Chapter 4, we have to
divide the ideal temperature gain by the thermal efficiency of the blower. Using
the formula for temperature gain from Chapter 4 and dividing by 0.70,
(PRO2-1) x Tat
Temperature gnin ~ ORV * Tats
ke 0.70
(1.45 028— 1) x 550°
. 070
=86°F
‘The density change due to heating isthe ratio of the absolute temperatures before
and after the blower. A temperature rise of 86°F on a standard day of 90°F will
produce a discharge temperature of 176°F from a non-intercooled blower.
Using the formula for density ratio from Chapter 3,
original absolute temperature
‘Final absolute temperature
Density ratio
‘Then non-intercooled:
460° + 90°
460° + 176"
Density ratio = 0.86
Therefore, the ai is only 86% as dense as it would be if it hadn't expanded back
duc to heating. This is the density-ratio number we would use in the power equa
tion in the next iteration ifno intercooler is present.
While the density degrade of 14% is dramatically high, the use ofan intercooler
of, say, 85% efficiency would drop the predicted temperature rise of 86° to 86°F. x
(10.85) = 13°F, fora compressor discharge temperature of 90°E + 13°F = 103°F.
‘The density ratio would then be
Intercooled:
460° + 90°
Density ratio» ogg
= 0.98
indicating a density loss of just 2%.98 supercharged!
Third calculation: Solve the engine power formula for pressure ratio and insert
the above figure for density ratio, to obtain the refined pressure ratio. As above,
‘we'll do this for both non-intercooled and intercooled blowers.
Desired power = stock power x pressure ratio x density ratio
x volumetric efficiencies rasio x drive power efficiency
desired power
stock power x density ratio
x volumetric efficiencies ratio x drive power efficiency
Pressure ratio =
Then non-intercooled:
320 bp
Pressure ratio= 0750.86 x 115x090 ~ +>
Intercoted:
20 h
Presure ratio» 20’ ___y 43
220 hp x 0.98 x 1.15 x 0.90
‘The intercooled calculation gives nearly the same pressure ratio as our initial
estimate, so we can stop. A pressure ratio of 1.45 will work if we have an 85%
efficient intercooler, which is not hard to do. One iteration is usually enough for
intercooled blowers.
‘The non-intercooled pressure ratio gives the following boost pressure:
Boost = 0.63 x 147 psi = 9.3 psi
‘Now we repeat the process, using the new pressure ratio, until the new boost
pressure is within 1 psi of the one calculated in the previous iteration, If we do
this, we find the following:
Second iteration:
peer
prt grin = LEED op
460° + 90°
~ F607 = 2087 ~ 0.82
320 hp
Presure 7008 3 p02 118X090
7.
Boost = 0.71 x 14.7 = 10.4 psichapter 7: the screw compressor supercharger 99
Third iteration
1.718281) x580°
femperaturegain = ——"— "°° 1269
anal 070
460° + 90°
ratio= ——* 9.81
Density ratio= oo ge
320 bp
Presure ratio ~ 0 pp 0.81x 15x09 ~
174
Boost = 0.74 14.7 = 10.9 psi
Since the difference in boost pressures between this and the previous iteration
is less than 1 psi, we can stop. We will need a pressure ratio of 1.74, non-inter-
cooled.
Fourth calculation: Find the cfm the blower needs to pump to achieve the
desired power. The desired airflow rate is the basic engine airflow rate times the
pressure ratio. Using the formulas from Chapter 3,
cid x rpm x 0.5 x Ey
1.728
302 x 5,500 x 0.5 x 0.80
= SERED OS O80 354 g
1,728 fm
Basic engine airflow rate =
Non-intercooled:
Desired airflow rate = basic engine airflow rate x pressure ratio
= 384 cfm x 1.74 = 668 cfm
Intercooled:
Desired airflow rate = basic engine airflow rate x pressure ratio
= 384 fin x 1.45 = 557 fin
Fifth calculation: Select the blower. Now we have the data needed to select a
blower. The blowers are rated by displacement pumped per revolution. Ifa spe-
cific twin-screw has a displacement of, say, 90 cubic inches per revolution, we ean,
estimate the rpm required to pump the needed cfm,
We frst make the units consistent by converting 90 cubic inches per revolution
to cubic feet per revolution:100 supercharged!
in’
90
rer
ena rev
fs
‘The supercharger speed is the desired airflow rate divided by the displacement
per revolution:
Non-intercooled:
fe
Supercharger speed = ——"” ~12,846 7
e ‘min
0.052
Intercooled
3
357 *
Supercharger speed =" _ 19,712. 7
0.052 ©
Ifthe 90 in3 /rev blower we are considering has a higher redline than 12,846 rpm.
non-intercooled or 10,712 rpm intercooled, it will do the job. If the redline is
below these numbers, a larger blower must be selected.
Fig. 7-13: Front and rear
water manifolds provide
parallel water flow through
four intorcooler cores. On
the lefts the supercharger
bypass systemchapter 7: the screw compressor supercharger 101
Drive Power We will do the following calculations for the intercooled blower only.
Fig. 7-12is a graph of performance characteristics for an Autorotor model 3150
at a pressure ratio of 1.6, or 1.6 bar. The 3150 has a displacement of 1.5 liters,
‘or 92 cubic inches, per revolution, so the numbers we calculated in the previous
section for a 90-cubic-inch unit would work here. The pressure ratio we need,
however is 145, and the drive power required willbe slightly different at 1.45 bar
than for the 1.6 bar shown, Autorotor provides graphs in even increments of 0.2
bar, so to get a better approximation of drive power from a graph, we would need
4 graph of 1.4 bar, However, we can see that in the range we need (about 11,000
1pm), the drive power will be below the 19 kilowatts required at 1.6 bar.
Kilowatts can be converted to horsepower using the conversion factor of 1.34
p/w:
ro tw int ashy
This is the power used by the supercharger, so adiabatic loss, which occurs inside
the blower, is accounted for when reading from the graph. Belt loss, which is
external to the blower, is not. To find the power required at the crankshaft, we
must divide by belt efficiency. As discussed in Chapter 3, 97% is a typical figure
for belt efficiency:
BW ae tp
097
‘Then the final drive-power loss should be below 26 horsepower.
Ifa graph is not available, the power required by the supercharger can be cal-
culated using the formula for drive power from Chapter 14:
boost x airflow
Drive powei
rive powe 79)
Coro
= 882857 agp
229
‘The reason to use only boost above atmospheric is that the engine breathes the
first atmosphere by itself.
As indicated in Chapter 14, this calculated number represents the power
required by the supercharger after drive-power loss. To find the 100% at the
crankshaft, we must divide by belt efficiency and adiabatic efficiency. As discussed
in Chapter 3, 97% is a typical figure for belt efficiency and 60% for adiabatic effi-
ciency. Dividing by these numbers,
16 bp
8 ary
0970.60 2Pulley Ratio
‘Although this is 1 horsepower higher than what Fig. 7-12 shows for 1.6 bar, itis
clearly in the right range. For drive-power calculations, a few horsepower either
‘way is not critical, Therefore, we need a belt capable of carrying atleast 27 horse
power.
Once we have the correct size for the blower, we can calculate the pulley satio
needed, Assume that the redline for the 90 in3 /rev blower is 15,000 rpm—plenty
safe for this application. Using the formula for pulley ratio from Chapter 14,
supercharger rpm at desired airflow
supercharger internal gear ratio x engine redline rpm
Pulley ratio =
For our purposes, consider that the twin-screw supercharger does not have an
internal gear ratio, so this factor becomes 1. Then
Pulley ratio= 971? __ 1.95
1x 5,500 rpm
“Therefore, the crankshaft drive-pulley diameter must be 1.95 times the supercharger
pulley diameter. Ifthe supercharger was supplied with a 2.5-inch-diameter pulley,
Crankshaft pulley diameter = 2.5 in, x 1.98 » 4.88 in.
We would expect to find a pulley within 1/16 inch or 1 millimeter
[As discussed in Chapter 14, determining the belt load allows us to size the idler
pulley bearing and, therefore, the idler pulley. Using the formula from Chapter
14 for belt velocity,
Bete velocity = Srankshafpaley ca crankshaft rpm
—————399—~C~*~<“CS:*CS*SC«S
If the crankshaft pulley diameter is 4.88 inches and the crankshaft speed is
5,500 rpm,
4.88 5,500 _ yyy,
29 ies
Belt velocity ~
[As described in Chapter 14, we must also convert horsepower to foot-pounds
per second, using the conversion factor of I horsepower = 550 fi-lb/sec. ThenFig. 7-14: This litle pup
from Opcon Autorotor flows
200 cm at 18,000 rpm—
good for about 130 bhp.
Mounting the
Twin-Serew
chapter 7: the screw compressor supercharger 103
ar ipxsn P5550
aa
be
reas
17. a
This 127 pounds represents the load on the drive belt.
‘The compressor outlet, located in approximately the middle of the blower, should
be considered the primary mount. Because ofits location near the center of gravity,
itis in an excellent position to support most of the blower’s weight. An attach
‘ment to this face must be controlled to a flatness of 0.002 inch over the span of
the mating face, to avoid warping the housing,
When an extension is used to locate the blower further aft of the plane of the
belts, the extension becomes a mounting point also. Should the extension be lon-
ger than approximately 3 inches, it must be supported. Usually itis appropriate
to make a complete loop of metal around the extension to grip it, similar toa con
rod holding onto a crankshaft—but with no clearance, of course.104 supercharged!
Fig. 7-15: Mounting points
should be in three planes,
fo insure some degree of ti-
__rereasing volume to decrease air velocity
‘Choosing the thickness of the intercooler core is a bit ofa juggling act similar to
the turbulators. The juggling act is brought about by the fact that the second half
of any core does only one-quarter the work. The ambient air gets warmer as i
gets deeper into the core. Therefore, the temperature difference between outside
air and inside air becomes less in the latter half of the core.
Another negative effect is brought into play by increasing the thickness: the
thicker the core, the greater the drag on the cooling ambient air passing through.
Essentially, then, the cooling-air drag coefficient of the core goes up as thickness
increases. Overall, the better combination is thinner cores with adequate internal
flow area maintained by core length, width, and number of channels. A clever way
to package cores where frontal area is scarce and depth abundant is the staggered:
core IC, discussed later in this chapter.120 supercharged!
Fig. 8-27: Increasing core
thickness does not propor
tionally increase heattrans-
fer copabilty. Each incre-
‘ment of core thickness will
receive hotter cooling air.
Core Flow Direction
Internal Volume
Air at ambiont
temperature
Considerably
hotter air
IU
3
i
Larger cove thickness ——e
Unless overwhelming reasons dictate otherwise, the core should always be pos
tioned to present the greatest possible internal flow area. The direction of flow is
‘unimportant. For example, the intercoolers in Fig. 8-28 take up the same spac
but the vertical-flow unit has more internal flow area (asa result of more channels)
and, hence, considerably less restriction.
Allof the volume internal to the intercooler system must be pressurized before the
same pressure exists in the intake manifold, Although this volume is not a large
contribution to lag (and lag created by a supercharger is not large in any case),
is nevertheless a design factor to optimize in the process of creating a good inter-
cooler system. Iti advisable to keep track of the volume and make some effort to
keep the excess down. This applies mostly to the configuration of the in-cap and
‘out-cap and the size of the tubes to and from the intercooler.
Several details in the design of the end caps fitted to the intercooler cores can both,
improve intercooler efficiency and decrease flow losses. It is certainly not a good
idea to assume thatall those molecules of air can easily and conveniently find their
own way into and out of the intercooler. Think in terms of herding sheep. Give
them direction and guidance and make the journey easy for them,Fig. 8-28: The top and
bottom cores have the
same frontal area, heat
transfer area, and effi
ciency, but the top core
thas much greater intern!
flow area, due tothe larger
umber of channels—and,
therefore, lower pressure
loss.Furthermore, long
tubes inherently have more
drag than shor tubes.
Fig. 8-29: This is the
proper way to make a big-
ger intercooler. Always
increase the core area by
coding a greater number
of internal passageways.
Do not just make the same
number of passages longer.
chapter 8: intercooling 121
Tou
NN
os
In-cap design
It's fundamental that intercooler effcieney will improve if we can get equal dis-
tribution of airflow through the core tubes. A serious attempt at accomplishing
this can be made by suitable bafile built into the in-cap.
The position of the inlet to the in-cap should receive attention in several areas.
Keep uppermostin mind the requirements of ar distribution and ease of flow: Try
to avoid sudden changes of cross-section,
Outcap design
Afier the distribution job is done by the in-cap, itis the out-cap"s lot to gather
up all the molecules and point them toward the engine. This must be done with
equal attention to streamlining, to keep flow losses to a minimum. The intersec-
tion between the cap and tube isa point of high drag and should be styled afer an
{deal air inlet shape, similar to that of an air horn. Point the sheep in the direction
of the exit, give them room, and don’t make them do anything sudden. Do not
offer them any abrupt changes in direction or cross-sectional area,122 supercharged!
Fig. 8-30: Proper internal
boing can create more y
uniform airflow distribution
through the core and, thus,
greater heat rejection. Add
the battle fo force halt the 4
charge fo go through the
first half ofthe core and
‘he remainder through the Few]
second half.
Fig. 8-31: Good and bad Good Bad
endcap designs.
tu ITT
ot) TTFig. 8-32: Do not under-
estimate the strength and
stitiness requirements of
the end caps. The forces
‘of pressure times area can
cause slow fatigue fal.
ures that become sudden
fractures. Lightweight end
caps can be made many
times stronger and siffr by
welding in a tower support
brace to reduce flexing
under boost
Tube Sizes and
Shapes
chapter 8: intercooling 123
Strength
Blowing up an intercooler under boost is no joke, and it happens in a way one
might not expect. The possibility of blowing the caps completely off the core is
remote. Cracking the cap off slowly is how it happens. The cause is “oil canning,”
Which gets to be a serious problem with large intercoolers operating at high boost.
‘The force produced by the boost pressure deforms the cap, creating huge bend.
ing stress at the welds. When the cap is required to flex back and forth on every
application of boost, a crack can develop rapidly
Cracked welds
‘rom flexing
a
mm
State shape Under boost shape ‘An internal tower
reduces ol canning
Rather than make the cap walls thick enough to keep stress within tolerance,
‘one can install an internal tower. As shown, this causes the deflection to take a dif.
ferent shape, which reduces the stress by a factor of eight. In general, intercooler
«aps 3 inches or less in width will not be subject to these problems. When the width
nears 5 inches and pressure exceeds 15 psi, you can count on trouble.
Materials
Two aluminum alloys are preferred for sheet metal fabricated caps: 3003 and 6061
‘These are heat-treated alloys and designated by the suffix —Tsxex. The 3003 is less
prone to cracking when bent, and is thus preferred. Tenzalloy and 356-T6 are the
best ofthe cast alloys. The TIG welding process should be used for attaching caps
to cores. The favored filler rods are 4043
To stay below a 1 psi loss, ar velocity in a tube to oF from the intercooler should
nor exceed about 440 feet per second, since drag, and therefore flow loss, increases
significantly after this. (As mentioned earlier, drag is proportional to the square of
velocity.) Above this igure, the next tube size up is required. Resist the temptation
to use larger diameter tubes than necessary, as they only add to the volume ofthe
system, and that is not a good thing to do.
In most circumstances, the boss diameter of the compressor outlet will be the
most convenient size to use and is probably well matched to the flow capability of
the blower. Use the smallest cross-sectional area in the system to check the charge
velocity in the tubes. Always use the inside diameter, not the outside.
‘Tube size can be checked by calculating the maximum airflow attainable, divid-
ing by the area of the tube in square feet, and dividing again by 60 to convert to
fect per second. A rough value for maximum airflow can be obtained by multiply
ing the desired bhp by 1.5,
Example: Let power = 400 bhp, for which maximum airflow is approximately
600 cfm, and air tube inside diameter = 2.5 in,
‘Rearranging the formula for airflow from earlier in this chapter,124
supercharged!
Hoses and
Connections
airflow
Velocity =
ee ae 2)
wre in 60sec
ning 1 ft
144 in2
0.76 x airflow fe
z see
where airflow is in cubic feet per minute and ris in inches. Then,
0.76 x 600
076% 600 592
Velocity 2
252 ee
‘The figure of 292 feet per second in the example is well below the maximum.
‘of 440 feet per second mentioned above. Thus, the 2.5-inch-diameter tube will
be adequate to flow 600 cfm without unreasonable drag. (This formula can also,
bbe used to find the minimum tube diameter by starting with the airflow and using
the velocity of 440 feet per second.)
Bends and section changes
‘Any bend in a tube or sudden change of cross section must be viewed as a poten-
tial flow loss or source of increased drag. It would be reasonable to estimate that
every time the airflow must turn 90°, a loss of 1% of the flow will occur. Three 30°
bends will add up to a 90. Always use the largest possible radius for any change of
direction, Certainly a short-radius 90° bend will lose more flow than a large 90.
“The change from one size tube to another is frequently necessary for purposes
of getting into a throttle body, out of the supercharger, and into and out of the
intercooler. These changes of section upset smooth flow and create losses.
Gradual changes of section can best be created by conical segments. A reason-
able rule of thumb for the angle of the cone would be one diameter change in
four diameter lengths, or a maximum of 15°.
All hoses and connections eventually prove troublesome. At the outset of design-
ing a supercharger system, consider all hoses and connections the weak links of
the intake system, Failure of a hose connection will certainly mean a loss of boost
pressure, However, where mass-flowmerer-controlled EFI is used, the situation is,
worse, as the engine may no longer run. When a hose fails, the engine can get air
around the mass flowmeter, and the meter loses its ability to generate the proper
signal. Without the proper signal, the engine will run poorly or not at all.
‘The problem with hose joints stems from the fact that each joint has a tension
load trying to push it apart equal to the cross-sectional area of the tube times the
boost pressure. Ifa system runs 20 psi boost through a 3-inch-ID hose joint, it
will have 141 pounds of force trying to pull the joint apart. This load will pull a