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                                                                                                          1. INTRODUCTION                                                                    Industries like chemicals, food, oil, and gas utilize double-
                                                                                                          The revolutionary impact of nanotechnology, with its                            pipe HX for various purposes like pasteurization, sterilization,
                                                                                                          distinctiveness compared to conventional scales, has garnered                   reheating, preheating, digester heating, and effluent heating.
                                                                                                          significant attention. This exponential growth has been fueled                  These heat exchangers are also common in renewable energy
                                                                                                          by its diverse applications across various sectors, such as                     systems like solar energy, waste heat recovery, geothermal,
                                                                                                          medicine, agriculture, engineering, and industry.1−5 As a                       combustion, latent heat energy storage, and air conditioning.
                                                                                                          scientific discipline, nanotechnology delves into the properties                The advantage of double-pipe HX lies in their modest design
                                                                                                          of materials at the nanoscale.                                                  and ease of maintenance. They are typically compact in size
                                                                                                             Nanotechnology facilitates the manipulation of materials at                  and can be easily installed in various locations. Additionally,
                                                                                                          the nanolevel, where particles are one billionth of a meter or                  double-pipe HX are cost-effective and have a high thermal
                                                                                                          10−9 meters. For instance, materials like alumina and titanium                  efficiency, making them an attractive option for many
                                                                                                          oxide, with relatively high thermal conductivity, can be                        industrial applications. One of the key benefits of double-
                                                                                                          engineered into small nanosized particles. These nanosized                      pipe heat exchangers is their versatility. They can be used for
                                                                                                          particles are integrated into base fluids for heat transfer,                    both liquid-to-liquid and gas-to-liquid HX processes, making
                                                                                                          forming a stable colloidal solution. When added to base fluids
                                                                                                          with low thermal conductivity, they can enhance the fluids’                     Received:    April 5, 2024
                                                                                                          heat transfer characteristics. This innovative concoction,                      Revised:     June 19, 2024
                                                                                                          known as nanofluid, represents one of the recent advancements                   Accepted:    June 25, 2024
                                                                                                          in nanotechnology. Notably, nanofluid introduces new heat                       Published:   July 15, 2024
                                                                                                          transfer characteristics, contributing to energy conservation
                                                                                                          akin to downsizing heat transfer equipment.6
                                                                                                                                               © 2024 The Authors. Published by
                                                                                                                                                     American Chemical Society                                                     https://doi.org/10.1021/acsomega.4c03279
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them appropriate for various applications. Also, double-pipe                 knowledge in the field. This review primarily focuses on
HX can handle various temperatures and Δp conditions,                        improving hm, Nu, HT rates, TPF, and other related
making them suitable for use in demanding industrial                         enhancements that can be impacted by using nanofluid. By
environments.                                                                suggesting new avenues for exploration, this review aims to
   Thermal energy management relies heavily on the use of                    promote further research that can significantly contribute to
HX. In reply to the energy crunch, there is a growing demand                 the field of HT augmentation. Ultimately, this research may
for efficient HX to support the growth of energy-saving                      serve as a valuable resource for researchers seeking to
technologies in various industries. Researchers are concentrat-              understand and enhance HT using nanofluids.
ing on enhancing equipment design and the thermal                              Below are essential points elucidated in this review article.
characteristics of working fluids to attain optimal energy                   Categorization of nanofluids.
efficiency. This focus on energy optimization is crucial as                     • Recent advancements in engineering thermal application
conventional fuel sources have limitations. Improving the                           owing to innovative HT mediums (nanofluid).
performance of HX can lead to significant energy savings.                       • Several significant parameters need to be considered
Numerous forms of HX, like plate-type HX, double-pipe HX,                           while selecting and preparing nanofluids.
HP, and mini-channel/heat sinks, offer compactness, effective-                  • Impact of integrating passive methods on HT and Δp
ness, flexibility, and high thermal performance. Plate-type HX                      efficiency of heat transfer applications.
was initially designed to meet the needs of dairy industries and
                                                                                • Elaboration of significant factors that play a vital part in
has since found numerous applications in engineering sectors,
                                                                                    enhancing heat transfer characteristics of nanofluid.
including heat recovery, HVAC, cooling, power generation,
and refrigeration. Double-pipe HX is commonly used in power                     • Different models are used for calculating the thermody-
plants for electricity generation, with heaters and economizers                     namic properties of nanofluid.
being key components.7 The simplicity, ease of cleaning, and
low cost of double-pipe HX have made them popular in                         2. NANOFLUIDS: FUNDAMENTALS, SYNTHESIS,
various applications.8 Portable devices like laptops and mobile                  STABILITY, AND PROPERTIES
phones require efficient cooling solutions, which has led to the             Nanoparticles within nanofluids are minute solid particles
development of mini/micro channels and HP. While improved                    dispersed throughout the base fluid, exhibiting a specific
HT in HX leads to greater efficiency, it also increases pumping              motion. They function as heat carriers, directly conveying
power requirements, necessitating a balance between enhanced                 energy.10 Additionally, they can be likened to “stirrers,″
HT and associated Δp.9 The primary issue concerning                          generating microconvection currents that augment the effective
nanoliquids is the substance used for the solid particles. A                 thermal conductivity of the base fluid. This enhancement
wide range of metals, metal oxides, and carbon-based materials               primarily stems from the heightened motion of molecules,
are accessible, all of which are suitable options for improving              consequently increasing their collision frequency and facilitat-
HT and have good mechanical properties. The main emphasis                    ing greater heat transfer through conduction. In contrast to
is finding the most effective material with minimal drawbacks                microsized particles, nearly 20% of the total atoms within a
compared to other options while still performing well in all key             nanoparticle (with sizes <20 nm) reside on the surface,
areas. It may seem logical to prioritize materials with high                 enabling efficient absorption and heat transfer. Conversely,
thermal conductivity, like silver or copper, to set a standard for           microsized particles predominantly harbor their atoms beneath
other nanoliquid materials. However, this is not always the                  the surface, limiting their involvement in heat transfer
case. In addition to thermal properties, the long-term stability             processes.
of the nanoliquid is crucial. As an outcome, extensive research                Several hypotheses encompassing the principles of heat
has been shown to address stability issues, including various                conduction in nanofluids offer insights that could aid in
chemical and physical treatments to maintain stability.                      understanding and verifying mechanisms for enhancing
   The most recent research reviews the capabilities of                      thermal conductivity. These include nanoparticle Brownian
nanoliquid employed in HX with extended surfaces. Since                      motion, nanoparticle aggregation, the formation of a liquid
these techniques are rarely used together, limited information               nanolayer surrounding nanoparticles, ballistic transport and
is available on this dual approach. The novelty of this research             nonlocal effects, thermophoresis, and near-field radiation (see
lies in the lack of comprehensive evidence or reviews                        Figure 1). Although all these mechanisms have the potential to
discussing the use of nanofluid with extended surfaces. This                 explain the increase in thermal conductivity, there is a
paper delves deeper into this concept by examining the                       considerable likelihood that they may not apply uniformly
effectiveness and characteristics of various kinds of fins and               across all nanofluid systems. This is primarily due to the
nanofluid particles found in existing literature, consolidating              diverse behavior exhibited by a wide range of nanomaterials
this information into a single paper. This review aims to be a               when interacting with different base fluids.11
cutting-edge assessment of the combined use of nanofluid and                    2.1. Selection of Nanoparticles Based on the Base
extended surfaces in enhancing heat transfer, highlighting key               Fluid. The primary determinant of nanofluid thermal
differences in studies, applications, and working conditions.                conductivity lies in the foundational fluid, which constitutes
This comprehensive understanding of the impact of key                        the predominant portion of its composition. While nano-
parameters is crucial for improving heat transfer. In contrast to            particles contribute to improving thermal conductivity, the
other reviews focused on specific applications, this review                  foundational fluid exerts the greatest influence. Thus, selecting
explores a variety of applications for both methods, such as                 the foundational fluid is equally crucial to choosing nano-
solar collectors, car radiators, and nuclear fuel rods, to                   particles. A diverse array of foundational fluids suitable for
emphasize the effects of critical parameters like particle                   deployment includes water, ethylene glycol, natural and
concentration and flow patterns on thermal performance.                      synthetic oils, ionic liquids, and refrigerants. Nanofluids
Therefore, it is essential to conduct this review to advance                 formulated with foundational fluids possessing high thermal
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                                                       2
      nanofluid   = (1 + 2.5 + 6.25                        )   base fluid                            (3)
42
Figure 5. Advatages and disadvantage of (a) one-step and (b) two-step nanofluid preparation. Reprinted with the permission of Ho et al.88
Copyright 2023 Elsevier Inc.
disrupt thermal mechanisms. To avert nanofluid agglomeration                  determines the stability of a nanofluid.96−98 Enhancing the
and guarantee peak efficiency, multiple stability tests must be               repulsive forces between particles is essential for maintaining
conducted.                                                                    stability.
   2.3. Nanofluid Stability. Particles at the nanoscale in                       2.4. Stability Enhancement Methods. 2.4.1. Surfactant
liquids experience intricate stress conditions and have a high                Addition. A nanofluid liquid typically involves a pair of
level of surface activity, making them susceptible to self-                   elements. These consist of nanoparticles and basic fluid. The
polymerization when in basic liquids. Once aggregated                         stability of nanofluid depends on the kind of nanoparticles and
particles reach a certain size, these nanoparticles settle, leading           the base fluid. Nanoparticles may be hydrophobic or
to an uneven dispersion of particles. This instability at a larger            hydrophilic, while base liquids might be polar or nonpolar.
scale affects the flow behavior and HT properties of the liquid-              Different types of surfactants are shown in Figure 6.
containing nanoparticles. Over time, the polymerized particles
settle out of the liquid. Techniques such as using the
appropriate electrolyte as a dispersant, adding surfactants,
and applying ultrasonic vibrations during dispersion help
address nanofluids’ suspension stability issues. In sedimenta-
tion testing, the suspension’s stability is assessed by capturing
sedimentation images in a tube using a camera. Although the
settling process is visible, ultrasonic vibrations can disrupt the
nanoparticle interactions. Dispersants create a repulsive force
between particles, reducing their tendency to clump together
and settle as particle swarms.73 Stability issues stemming from
interactions between particles and with the liquid are a
significant concern for nanofluids; other factors, such as
temperature and magnetic fields, can also impact nanofluids’                  Figure 6. Types of surfactants.
stability.91
   The intensity of the magnetic field is significant for
nanofluids. Hong et al.92 studied how the strength and                           Particles, generally hydrophilic like oxide particles, are easily
duration of magnetic fields affect nanofluids’ kp. When                       mixed into polar fluids like water, and hydrophobic particles
magnetic nanoparticles (Fe2O3) are subjected to a magnetic                    like CNT can be mingled into nonpolar base liquids such as
field, they create networks and align along the field’s direction,            oils without needing a third element. Nonetheless, surfactants
increasing physical interaction and higher kp. They observed a                must be included to anchor the nanoparticle if hydrophobic
35% boost in thermal conductivity without a magnetic field.                   particles are blended into polar base fluids.
However, lengthy exposure to the magnetic field triggered the                    Surfactants are generally of four types: anionic, nonionic,
accumulation of large particle clusters over time, reducing kp.               cationic, and amphipathic. Amphipathic substances have
The magnetic field weakens the opposing force between                         positive and negative hydrophilic groups, which can create
suspended particles, causing them to clump together. Chang et                 positive/negative elements according to the pH of the fluid.
al.93 inspected the impact of magnetic fields on the stability of             They possess germ-repelling qualities, resilience to water
CuO nanofluids and found that stability deteriorated more                     hardness, and little toxicity.91
quickly with a magnetic field present. This led to particle                      The creation of bubbles is a drawback of surfactants,
aggregation and the formation of larger particles.                            impacting the heat characteristics of the liquid. Introducing
   Similarly, Zhang et al.94 looked at how particle ϕ affects the             surfactant into the nanofluid may enhance its stability, but the
stability of SiO2 (water-based) nanofluids. They noted that                   adverse impact on the surfactant is magnified in high-
higher ϕ led to poor initial stability, resulting in agglomeration            temperature scenarios (Table 3).
and decreased efficiency in heat transfer.95 The balance                         Zeta potential measures the repulsion between nano-
between van der Waals forces causing agglomeration and the                    particles, which is represented in millivolts. The particle’s
electrical double-layer repulsion force separating particles                  charge determines whether the zeta potential is positive or
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negative. Nanofluids with a high zeta potential are considered             the surfactants in nanofluids or that the size of nanoparticles
to be electrically stable. Precipitation occurs rapidly at zeta            could decrease with increased sonication time. A few proposed
potentials between 15 and 30 mV, stability is achieved at 30               guidelines include utilizing a cooling bath, operating in pulse
mV, and excellent stability is observed at 45 mV. Kim et al.117            mode, and employing cylindrical-shaped flat-bottom beakers.
created a nanofluid with gold/water without surfactants and                   Nanofluid with gold/water was created by Chen and Wen119
assessed its stability through zeta potential measurements. The            by varying the sonication periods from 10 to 60 min, and a
zeta potential for nanofluids with nanoparticle ϕ of 0.018 vol%            reduction in agglomerated particles was noted as the sonication
showed −32.1 mV, and 0.0025 vol% showed −38.5 mV.                          time increased. However, no change in particle size was
Mondragon et al.118 investigated the consequence of ϕ of silica            observed after 45 min. Mahbubul et al.120 applied ultra-
nanoparticles. Results indicate a −16 mV with a nanoparticle               sonication for various durations (30, 60, 90, 120, 150, and 180
concentration of 2 wt % and -48.63 mV with a mass                          min) to TiO2/water nanofluids and determined that the
concentration of 20 wt %. Nanofluids with a concentration                  optimal sonication time for maximum stability is 150 min.
of 20 wt % showed stability for at least 48 h.                             Exceeding 150 min of sonication led to nanoparticles
   2.4.2. Ultrasonication. The ultrasonic mixing technique                 reagglomerating. Azmi et al.121 agitated a TiO2/water-ethylene
utilizing ultrasonic waves in a nanofluid improves its stability           glycol (60:40) nanofluid on a magnetic stirrer for 30 min tailed
by overcoming the force of gravity acting on the nanoparticles.            by 2 h in an ultrasonic bath. They confirmed the stability of the
To extend the enduring lifespan of nanofluids, ultrasonication             nanofluid for over 7 months through stability analysis using
has garnered widespread adoption and is recognized as a                    FESEM and TEM. Mahbubul et al.122 dispersed 0.5 vol.% of
pivotal stage in nanofluid production via the two-step method.             Al2O3 nanoparticles in water using ultrasonication for varying
Nevertheless, there remains a lack of standardized protocols for           durations from 0 to 5 h and examined the nanoparticle
nanofluid preparation, particularly regarding the optimal                  distribution through electron microscopy. The scholars
duration for achieving homogeneity, the requisite power                    observed that longer ultrasonication times were necessary to
amplitude of the sonicator, and the appropriate types or                   attain improved stability and decreased viscosity. TEM analysis
durations of pulse modes to be employed. Researchers have                  indicated superior particle dispersal after 2 h of ultrasonication.
encountered conflicting findings regarding the impact of                   Additionally, an external force like ultracentrifugation is
ultrasonication duration on the colloidal dispersion of                    employed for the separation and purification of nanoparticles,
nanoparticles. While some argue that longer ultrasonication                relying on particle deposition induced by the centrifugal force
durations are advantageous for achieving proper nanoparticle               from the rotation of the ultracentrifuge.123 Figure 7 represents
dispersion, others suggest that prolonged sonication may harm              microstructure after 1 h of ultrasonication with different vol%.
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Bruggeman131                       (3        1)
                                                  kp
                                                       + [3(1                  )     1] +
                                                                                                                                   effective knf of mixed bodies from isotropic substances
                        k nf                      kf
                        kf
                               =                               4
Wang et al.139          k                    3fq(p) / p0                                                                           based on the size of the nanoparticle, vf, shape, nanolayer, and interaction
                        kf
                               =1+       1        fq(p) / p0                                                                         between nanoparticles
Sundar et al.29         knf = kbf (1 + 10.5 )0.1051s                                                                               effective for the Fe2O3 nanoparticle within a specified temperature range and
                                                                                                                                     vf range
Wang et al.140                     (3        1)
                                                  kp
                                                       + [3(1                  )     1] +
                                                                                                                                   a hypothetical model for estimating the efficient coefficient of flow of a
                                                                                               B
                        keff                      kf                                                                                 solution containing nanoparticles
                         kf
                               =                                   4
Afrand et al.141        k nf                                           0.323                                                       a model developed by curve fitting of data and based on a magnetic nanofluid
                        k bf
                               = 0.7575 + 0.3                                      T 0.245
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nanoparticle concentrations, and sonication duration.144                        ature swing, parallel plate, and optical techniques, can assess
Increasing sonication time or power reduces cluster size and                    nanofluid kp. Multiple factors affect kp, including nanoparticle
increases particle suspension stability.                                        ϕ, nanolayer presence, nanoparticle size, temperature, and type
   Nevertheless, very high and prolonged sonication power                       of base fluid. Several theoretical models have been devised to
may not show the same results. Ultrasonic devices can elevate                   predict the kp of nanofluids, some of which are listed in Table
nanofluid temperature, but ambient temperature also plays a                     4. These models are constructed based on classical theories like
role, resulting in diverse nanofluid products based on location                 Maxwell129 and Hamilton-Crosser models,130 considering the
and weather conditions. Therefore, determining the optimal                      conductive properties of spherical and nonspherical particles
sonication period and power level that enhances nanofluid                       within the mixtures. Experimental models like the Rea133
stability is crucial. Surface modification methods are complex                  model and Afrand141 correlation have also been designed to
and expensive, so they are not ideal for industrial use.                        estimate the kp ratios of specific nanofluids under varying
Establishing stable nanofluids through pH management is                         conditions. Overall, the effectiveness of these models in
simpler and more cost-effective.                                                predicting kp relies on factors like particle ϕ, temperature, and
   In nanofluids, extremely low or high pH levels can originate                 base fluid properties. Further research and experimentation are
either acidity or alkalinity, damaging HT equipment and                         needed to enhance our understanding of the thermal behavior
restricting practical applications.145 Surfactants connect nano-                of nanofluids and optimize their applications in HT systems. kp
particles with base fluids, enhancing nanoparticle dispersion by                can be altered by changing factors like size/shape and type of
reducing base fluid surface tension. The presence of surfactants                the nanoparticles/basefluid.
in nanofluids at elevated temperatures can lead to foaming and                     2.5.2. Nanoparticle ϕ Effect on kp of Nanofluids. The
blockages in pipes. Over time, using nanofluids containing                      thermal efficiency of thermal systems can be enriched by
surfactant at extremely high temperatures leads to malfunctions                 incorporating nanoparticles of an optimal size. However,
in thermal devices.                                                             particle agglomeration can begin as the ϕ of particles increases,
   2.5. Characteristics Concerning the Transfer of Heat                         leading to a decrease in kp. Higher vf and larger particle size
in Nanofluids. Recently, there has been a growing trend                         can contribute to agglomeration and sedimentation, increasing
toward using novel types of working fluids that incorporate                     μ intensifying HT surface fouling. This fouling phenomenon
particles of nanoscale materials dispersed within the base liquid               and increased μ can lead to higher Δp and greater pumping
(such as water, deionized water, ethylene glycol, etc.) for HT                  power demand, ultimately reducing the overall THP compared
purposes. This is because these nanofluids have a significant                   to conventional fluids.147−149 To achieve high HT with
impact on the thermal characteristics of the base fluid.                        minimal Δp, it is crucial to determine the ideal vf of
Different nanomaterials influence the base fluids’ thermal                      nanoparticles with high kp. Maintaining maximum HT
properties in varying ways. Factors like nanoparticle size,                     efficiency and minimizing pumping power demand is essential
shape, and ϕ are vital factors that can significantly alter the                 for designing energy-efficient thermal systems.
thermal properties.146                                                             In an experimental study by Goodarzi et al.,150 the thermal
   2.5.1. Thermal Conductivity. The key factor for efficient                    efficiency and Δp in a double pipe HX were analyzed using
HT systems is nanofluids’ kp, which surpasses traditional fluids.               nitrogen-doped graphene (NDG) nanofluids at different ϕ of
Nanoparticles in nanofluids exhibit greater kp due to their                     nanosheets (0.01−0.06%). The outcome exhibited that adding
Brownian motion, where collisions with fluid molecules                          nanosheets with water improved the HT rate of the nanofluid,
enhance thermal properties. Nanoparticle size and forming a                     achieving a 15.86% augmentation at a 0.06% ϕ of nanoparticles
nanolayer near solid particles influence this phenomenon. The                   in NDG nanofluid. The researchers established that higher Re
base fluid’s thermal properties affect the nanofluid’s kp. Various              and particle percentages could increase the f, leading to
methods, including hot wire, transient plane welding, temper-                   elevated Δp and demand for pumping power. Akhavan-
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Figure 8. Different nanoparticle shapes generally added to the base fluid. Reprinted with the permission of Mahian et al.170 Copyright 2014 Elsevier
B.V.
Figure 9. TEM image showing the morphology of TiO2 nanoparticles of different shapes: (a) spherical, (b) elliptical, (c) cubed, (d) sheet.
Reprinted with the permission of Cui et al.171 Copyright 2021 Elsevier B.V.
Figure 10. Variations in (a) kp and (b) μ of the SiO2−water nanofluids as a function of temperature and particle size. Reprinted with the
permission of Zhang et al.169 Copyright 2021 American Chemical Society.
Behabadi et al.151 studied the HT and Δp in an HX using                        copper surfaces coated with a low mass ϕ, with an increase in
nanofluid (MWCNTs-water) of various particle ϕ (0.05−                          ϕ leading to a surge in surface roughness. In another study by
0.2%). They noted that the hm of the nanofluid surpassed that                  Garbadeen et al.,156 the free convection using nanofluids
of the base fluid and rose with higher particle ϕ.                             (water-MWCNT) in a square duct with differentially heated
   Ezekwem and Dare152 created SiC/DW and SiC/EG                               side walls was experimentally investigated, showing a
nanofluids with vf ranging between 0.5 to 5 vol %. The kp of                   significant improvement in HT with an optimal nanoparticle
the nanofluids was assessed, showing enhanced kp with                          vf of 0.1 vol %. A few of the research on ϕ effect on HT can be
increased nanoparticle ϕ. Further, Suresh et al.153 concluded
                                                                               accessed in Table 5.
from their study that nanoparticle ϕ of hybrid nanofluids
                                                                                  2.5.3. Effect of Nanoparticle Size and Shape on the
(Al2O3−Cu/water) directly impacts kp.
   In a study by Akhavan-Zanjani et al.,154 it was found that                  Thermal Conductivity of Nanofluids. The size of nano-
even small amounts of graphene at a concentration of 0.02 vol                  particles impacts the viscosity, thermal conductivity, and
% could boost water’s kp by more than 10%. Kiyomura et al.155                  density of nanofluids. Reducing nanoparticle size improves
examined the performance of boiling HT on surfaces coated                      the thermophysical properties of nanofluids.168,169 Further-
with Fe2O3 nanoparticles in Fe2O3 nanofluid (water-based) at                   more, the primary factors that influence the thermophysical
high ϕ (0.29 g/L) and low ϕ (0.029 g/L). The research                          properties of nanofluids encompass nanoparticle morphology
indicated that the maximum kp values were observed on                          and concentration.
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 Bruijn182                   eff
                                   = 1 + 2.5 + 4.698                      2                    spherical particles
                              f
 Batchelor183                      =            (1 + 2.5 + 6.5 2)                              model developed keeping in mind the interaction taking place between particles
                             eff            0
               184
 Wang et al.                 eff
                                   = 1 + 7.3 + 123                    2                        a generic model
                              f
 Hamid et al.190                                                                      0.2321   a chosen nanoparticle concentration and temperature range model
                             r
                                   =
                                       nf
                                       bf
                                                = 1.42(1 + R )        0.1063
                                                                               ( 80T )
 Zaraki et al.143            nf
                                   = 1 + Nv ×                                                  a diluted nanofluid model was formulated, using Nv to represent the parameter of
                             bf                                                                  viscosity
   They can be synthesized in various sizes ranging from 5 to                                             Sundar et al.173 revealed that a 2.0% vf at a temperature of 60
100 nm. The shapes of nanoparticles commonly employed in                                                  °C resulted in a rise 2.96 times higher than the original fluid.
base fluids (as depicted in Figure 8) were demonstrated to                                                Furthermore, the μ enhancement can alter based on base fluid
directly influence solely the viscosity and thermal conductivity                                          types. The μ boost declined as ethylene glycol percentage in
of the resultant nanomaterials.170                                                                        the mixture increased.174 Naik and Sundar175 studied the
   Cui et al.171 conducted an experimental investigation into                                             temperature effect on the kp of CuO nanofluid utilizing a
the thermal conductivity of nanofluids featuring various                                                  mixture of water and propylene glycol (30:70%) as the base
nanoparticle configurations, as depicted in Figure 9. The                                                 liquid. They found that as the temperature rose from 298.15 to
findings indicated that the relative thermal conductivity (RTC)                                           338.15 K, so did the kp from 10.9% to 43.37% for a vf of 1.2%.
of TiO2/water nanofluids containing clubbed and sheet-shaped                                              Buonomo et al.176 studied the effects of temperature rise of
nanoparticles surpassed that of other shapes. Specifically, TiO2                                          nanofluid (Al2O3-water) on the kp at different levels of particle
nanofluids containing sheet nanoparticles exhibited the highest                                           ϕ. They found that the enhancement in kp of the nanofluid
RTC at 60 °C and a nanoparticle concentration of 4%.                                                      became more pronounced as the temperature rose. Their
   Further, the effect of particle size by Zhang et al.169 who                                            results indicate that for particle ϕ of 0.5% at 25 °C, the
examined how particle size influences the thermal transfer                                                increase in kp ranged from around 0.57% to approximately 8%
efficiency of SiO2−water nanofluids. They meticulously crafted                                            at 65 °C. Additionally, with vf of 4%, the rise in kp was from
suspensions with commendable stability and dispersion and                                                 7.6% to 14.4%, with a temperature rising between 25 to 65 °C.
assessed their kp through the transient hot wire technique. The                                              2.6. Effect of μ. The role of μ in nanofluids is comparable
findings unveiled that the kp of SiO2−water nanofluids with                                               to that of kp in HT applications. When nanoparticles are
particle sizes measuring 15, 30, and 80 nm surpassed those of                                             introduced, the μ of the base liquid undergoes changes. The
water by 7.80%, 4.90%, and 3.80%, respectively. Moreover, it                                              greater μ of nanofluids causes a surge in the Δp during
was noted that smaller nanoparticle sizes in the nanofluid                                                pumping. Several factors affect the μ of nanofluids, such as
resulted in elevated dynamic viscosity values compared to the                                             temperature, particle ϕ, size and shape of nanoparticles, shear
base fluid, as depicted in Figure 10.                                                                     stress, presence of surfactants, type of base liquid, tendency for
   2.5.4. Temperature Effect on the kp of Nanofluids.                                                     nanoparticle agglomeration, and the specific type of nano-
Research has indicated that temperature impacts kp, which                                                 particles used.177 μ tends to decline with rising temperature
rises as temperature increases. The overall μ of nanofluids                                               due to changes in intermolecular forces. Adding surfactants can
comprises two components: static and dynamic. The Einstein                                                increase the μ of nanofluids.178 Common techniques for
model and the influence of nanolayer formation combine to                                                 measuring nanofluid μ include vibrating, rotating, capillary,
create the static element of the nanofluid μ. The μ impact                                                orifice-type, and bubble viscometers.179 Various models for
caused by the nanolayer surrounding a nanoparticle is                                                     predicting nanofluid viscosity can be found in Table 6.
heightened due to its 1 nm thickness. In contrast, the dynamic                                               2.6.1. Nanoparticle Size Affecting μ of Nanofluids. The
aspect is attributed to the μ influence due to Brownian motion                                            impact of nanoparticle size in nanofluids on μ has produced
associated with nanoparticles.172 A decrease in μ at elevated                                             varying results in various studies. Some research shows that
temperatures is a result of the expanding intermolecular                                                  nanofluid μ increases as particle size grows,191,192 whereas
distance within the base fluid at elevated temperatures. As                                               other studies suggest that viscosity rises as nanoparticle size
nanoparticles heat up, their bond with the surrounding fluid                                              decreases.193,194 He et al.195 inspected how μ of nanofluids
weakens. The rise of μ in nanofluids rises more quickly with                                              (TiO 2 −water) of varying particle sizes and ϕ. They
increasing temperatures than in the base fluid. This                                                      determined that as particle size and ϕ increased, the relative
phenomenon is more pronounced at larger ϕ. A study by                                                     μ of nanofluids also increased. Nguyen et al.196 utilized
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nanoparticles (Al2O3) of 36 and 47 nm when creating a water-                HX. One such application is solar collectors, and in recent
based Al2O3 nanofluid. The result indicates that particle size              years numerous nanofluids have been employed to enhance
had a profound impact at higher Vf concentrations (>4%), with               THP in solar energy technologies to achieve this. The
nanofluid μ being higher using smaller nanoparticles than                   enhancement in HT and reduction in f should be considered.
larger ones. This conclusion indicated that the μ of the                       The ratio of the enhancement rate indicating the surge in
nanofluid with 47 nm particle size at higher ϕ was greater than             HT to f is known as THP. Equations 10 and 11 present the
that of the nanofluid with 36 nm particles. They found that μ               primary criteria for evaluating the THP of the thermal
increased as particle size rose at higher ϕ. Anoop et al.197                system.206−214 Models above a THP of 1 are considered
prepared a nanofluid (Al2O3−water) using nanoparticles of 45                advantageous, whereas models below this threshold are
and 150 nm in an experimental study. The results of μ                       deemed unfavorable. The flow and thermal characteristics of
measurements revealed that the nanofluid with 45 nm particles               nanofluids play a crucial role in evaluating and enhancing their
had higher μ than the one with 150 nm particles. In summary,                performance. Thermal properties, including kp, μ, and ρ are
they suggested that smaller nanoparticles led to a greater                  influenced by multiple constraints such as Re, f, and pump
increase in μ. Based on these studies, it can be determined that            efficiency.215 The factors impacting THP are illustrated in
nanofluid μ is heavily influenced by particle size.                         Figure 11.
   2.7. Heat Capacity. The Cn capacity is a critical factor for
nanofluid that impacts its HT rate, as it is closely connected to
energy storage, transfer, and the Pr. Both the base fluid and
particles of a nanofluid play a role in determining its Cn
capacity. Generally, the nanofluid’s Cn capacity decreases as the
nanoparticle concentration increases. Kumerasan and Velraj198
experimented with MWCNT/EG−water nanofluid and
observed that adding CNT to the base liquid surges the Cn
capacity. However, they found that the Cn capacity decreased
as the ϕ of nanoparticles increased. Yarmand et al.199 studied
the Cn capacity of carbon−graphene/EG nanofluid, revealing
that the Cn capacity increased with higher temperatures and ϕ
of the nanoparticle. According to a study by Shin et al.,200 the
addition of carbon nanotubes at a mass fraction of 1% surges
the Cn capacity of the eutectic salt Li 2CO3/K2CO3 by 19%.
Research shows that both nanoparticle ϕ and temperature
significantly affect Cn capacity.
   A key drawback of thermal energy storage systems is the low
Cn of the working fluid in use. It is essential for the fluid
employed as a refrigerant to have a high Cn capacity,201
especially for smaller-size HXs.202 Therefore, enhancing the Cn
of nanofluids is a persistent issue. One method to achieve this             Figure 11. Factor effecting THP.
is by using nanoencapsulated phase change materials
(NEPCMs) in the formulation of nanofluids. NEPCMs are a
type of nanofluid where the nanoparticles consist of a core and                Numerous research has delved into the effects of factors like
a shell, with the core made of PCM capable of undergoing a                  μ, Re, Δp, mf, and flow pattern on the thermal performance of
phase change (solid−liquid) and absorbing or releasing energy               nanofluids. μ plays a crucial role in determining the hm of
based on latent heat (energy stored) during phase change. In                nanofluids. The properties of the fluid change significantly with
another study, Ghalambaz et al.203 found that nanoencapsu-                  increasing μ. Typically, the μ of a nanofluid is much higher
lated phase change material (NEPCM) particles enhanced HT                   than the base fluids, resulting in higher υ and pumping power
performance in a cavity by increasing the Cn capacity. This was             at consistent Re. It is important to consider pumping power
attributed to the higher latent heat storage at the core with               when comparing the practical efficiency of fluids. This is
PCM. Other researchers have also incorporated NEPCM                         because the practical efficiency declines as the solid content in
particles in different systems, including eccentric annuli, mini-           the fluid rises. Asirvatham et al.216 examined the HT
channel heat sinks, double pipe HX, and inclined porous                     performance of HX with nanofluids as working fluid under
cavities.201,202,204,205                                                    countercurrent with various flow conditions from laminar to
   2.8. THP of the Thermal System with Nanofluids. The                      turbulent. Their outcome exhibited a rise in hm by up to 28.7%
significance of the THP of a system is on the rise. As a result,            and 69.3% upon adding silver nanoparticles by 0.3% and 0.9%,
alternative approaches to enhance THP in such fluid dynamics                respectively. However, some research suggests that HT
are being sought. These approaches involve strategies about                 efficiency of nanofluids may decline with the addition of
the spatial configuration of pipes, commonly called passive                 nanoparticles, regardless of ϕ of the nanoparticle.
techniques for enhancing HT and enhancements in fluid                                 (Num/Nuf )
characteristics.                                                                 =
   Using pipe bundles for fluid flow is common in industrial                           (fm /f )1/3                                                                           (10)
                                                                                              t
processes such as cooling/heating. The utilization of nanofluid
                                                                                                                                                                       2/3
is also growing steadily to boost HT in thermal systems.                             (Num /Nuf )          hm /hf                     ji    zyz
                                                                                                                                               1/3
                                                                                                                                                          ij    yz
                                                                                                                                                           j   mz
                                                                                                                                × jjjj               × jjjj     z
                                                                                                                            f             f
Substituting conventional working fluids with nanofluids is an                   =                 =                   ×                     zz                  zz
                                                                                     (fm /f )1/3       ( Pm/ Pf )1/3                  j       zz           j      zz
efficient method for heightening the THP of various types of                              t
                                                                                                                            m         k   m{               k   f{            (11)
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   In a study by Mikkola et al.,217 the effect of particle                     trapezoidal-corrugated channels, along with a straight channel.
characteristics on nanofluid kp was examined. Various water                    Their findings indicated enhanced performance in nanofluids
polystyrene, SiO2, and Al2O3 nanofluids were investigated with                 compared to base fluids, with HT and Δp increasing with SiO2
vf ranging from 0.1 to 1.8 vol %. Heating experiments were                     Vf. The use of a corrugated channel improved HT rates, Δp,
conducted in a tube HX with Re ranging from 1000 to 11,000.                    and thermal performance significantly compared to straight
The findings indicated that higher nanoparticle vf led to                      channels.
decreased thermal conductivity. Aliabadi et al.,218219 produced                   Qi and colleagues225 studied HT and f characteristics of
a nanofluid (Cu−water) with a weight fraction ranging from                     nanofluids in circular and elliptical tubes (horizontal),
0.1 to 0.4%, used in plate-fin HX and compared it with HX                      examining mass concentration effects. They discovered that
with VGs. They noticed that the combination of VG and                          TiO2−water nanofluid with 0.5 mf increased Nu compared to
nanofluids showed a TEF of 1.67. Their findings indicated that                 water in both tube geometries.
lower nanofluid ϕ led to superior results. Further exper-                         Ajeel et al.226 delved into the effects of Vf of nanofluid and
imentation on corrugated MHS (water-cooled) with different                     HX geometric parameters on the TPF of curved-corrugated
configurations of the fin(plate/plate-pin) employing Al2O3 −                   channels with CuO/MgO-water (nanofluid) as the working
water nanofluid with various weight fractions (0.1−0.3%) with                  fluid. They found that increasing Vf, BR, and decreasing PR
Re between 100−900. Upon comparing different fin designs, a                    improved the THP, with optimal results observed at specific
peak THP of 1.84 at 0.3 wt % was noted for sinusoidal plate-                   PR. The THP of a radiator using hybrid nanofluids was
pin finned slotted MHS.                                                        investigated by Sahoo and team,227 highlighting the significant
   Sarafraz et al.220 explored the THP of a rectangular                        impact of particle shape on the system’s performance, with the
microchannel with Ga−CuO nanofluid. They examined the                          radiator system’s performance index declining with higher
consequences of ϕ and nanofluid flow mf on the system’s hm,                    coolant flow rates and Vf of hybrid nanofluids.
Δp, and THP. They disclosed that Re substantially influenced                      Recent research has focused on the impact of magnetic fields
the THP and the nanofluid ϕ; additionally, they attained the                   on the THP of magnetic nanofluids. Fan et al.228 studied the
highest THP in the laminar regime due to minimal Δp. kçay et                  THP of Fe3O4-water-arabic gum nanofluids used in a novel HX
al.221 found that while there is no improvement in THP at low                  system with a corrugated tube and perforated turbulator. They
frequency and intensity, a specific frequency exists that                      found that high nanoparticle mf, magnetic flux density, bilateral
maximizes THP. By optimizing THP at high intensity and a                       staggered magnetic fields, and perforated turbulators can
specific frequency (Wo = 10), pulsating flow greatly enhanced                  significantly enhance THP. Mei et al.229 investigated the effects
HT, despite increasing f. The researchers noted that as the                    of paralleled magnetic fields on Fe3O4−water nanofluids in a
frequency exceeds the critical value (Wo = 15), the                            circular tube, noting that the Nu correlated with nanoparticle
enhancement in THP diminishes due to reduced HT efficiency                     mf and had an inverse relationship with magnetic induction
and higher f losses.                                                           intensity. At the same time, the f increased with both
   Sarafraz et al.222 also explored the THP of Ga−Al2O3                        nanoparticle m f and magnetic field strength. A few
nanofluid used in solar receiver-made copper rectangular                       thermophysical properties are represented in Table 7.
microchannel. By varying the mf of aluminum oxide in gallium
to 5, 10, and 15 wt %, they observed that lower energy, f, and                 3. APPLICATIONS
pumping power are required despite the small Re, leading to                    Since the inception of nanofluids in 1995, scholars from
enhanced THP in the laminar regime. The study indicated that                   various disciplines and countries have rigorously investigated
higher concentrations of Al2O3 increased the hm and Δp                         their characteristics and possible uses. This collaborative
compared to pure Ga. At the same time, they were using 15 wt                   endeavor has not only propelled the field of nanofluids
% Al2O3 resulted in decreased THP due to heightened μ and                      forward but has also yielded remarkable results. These novel
aggregation of Al2O3 nanoparticles in Ga.                                      cooling technologies, unlike conventional coolants, demon-
   The type of thermal device used is a crucial factor impacting               strate intriguing heat transfer characteristics, with a specific
the THP of nanofluid systems.                                                  emphasis on convective heat transfer and thermal conductivity.
   In their study, Bahiraei et al.223 examined how a green                     Figure 12 shows a few fascinating uses of nanofluids.
graphene nanoplatelet nanofluid performed thermally and                           3.1. HX. HX are devices that transfer heat between fluids of
hydraulically within a rotating twisted tape tube. They explored               different types, with a current emphasis on using nanofluids in
the influence of rotational speed, y, and nanoparticle mf on the               various HX. One such HX is HP, an effective tool for moving
system and found that nanoplatelets had little effect on                       substantial amounts of heat through phase change or vapor
convective HT at higher rotational speeds. Increasing the                      diffusion. HP is considered one of the most effective passive
rotational speed and mf improved the hm and pumping power,                     HT technologies on the market and boasts high kt. The steam
while increasing the y had the opposite effect.                                condenses due to wall temperature difference, releasing latent
   Ajeel et al.224 examined the THP of silica nanofluid in                     heat and enabling the fluid to revert to the evaporator area
corrugated channels, such as semicircle-corrugated and                         through gravity (thermosiphons) or a capillary wick structure.
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                                             MHTE
      authors            nanofluids           (%)                                                  remarks
Zheng et al.242      Al2O3−water             19.8    0.05 wt% Fe3O4−water showed the optimal HT performance; empirical formulas of four nanofluids were
                                                       summarized
                     SiC−water               17.2
                     CuO−water               13.8
                     Fe3O4−water             21.9
Kumar et al.243      TiO2−water              9.09    MWCNT nanofluid showed the optimal HT performance; the optimum spacing of plate HX was 5 mm
                     Al2O3−water             16.81
                     ZnO−water               19.28
                     CeO2−water              23.41
                     Cu + Al2O3−water        37.11
                     water                   45.45
                     GnP−water               52.86
                     MWCNT−water
Wang et al.244       GnP−EGW                 4       The correlations of hm and f of the nanofluids in MPHE were summarized
Tiwari et al.245     CeO2−water              35.9    0.75 vol% CeO2−water nanofluids had an optimal performance index up to 16%
                     Al2O3−water             26.3
                     TiO2−water              24.1
                     SiO2−water              13.9
Bhattad and          Al2O3−water             17.1    performance of hybrid nanofluids was higher than that of single-nanoparticle nanofluids
 Sarkar246
                     Al2O3 + MWCNTs          25.36
                     (4:1)−water                     the increase in Δp was negligible
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the Nu of Al2O3+TiO2 in water nanofluids was 38.5% higher                   the potential of nanofluids in reducing environmental harm
than at 70 °C.239 This observed difference was attributed to                and promoting sustainability.249−251
changes in the fluid’s ρ, μ, and thermal diffusivity with
temperature. Investigation of TiO2 nanofluids revealed that the             5. CONCLUSIONS AND RECOMMENDATIONS FOR
hm of 0.2% TiO2 in water was highest at 15 °C.240 The hm of                     FUTURE WORK
TiO2 nanofluids decreased as temperature increased. Fur-                    This study discusses the latest advancements in the develop-
thermore, CNT nanofluids exhibited higher Nu at 70 °C                       ment, stability, heat properties, and effectiveness of nanofluids
compared to 50 °C due to improved thermal properties and                    in thermal systems. Upon reviewing the literature, several key
enhanced Brownian motion and thermal diffusion abilities at                 findings were made regarding the recent progress of nanofluid
higher temperatures. In another study, the hm of 0.3 wt % MgO               technology.
in ethylene glycol (EG) nanofluids was 9% higher at 60 °C                      Researchers have noted that incorporating nanoparticles into
than at 25 °C.230 Arya et al.241 noted changes in thermal                   base fluids can enhance thermal characteristics such as hm, kp,
conductivity, Cp, and μ of MgO in EG nanofluids between 25                  μ, and ρ, impacting parameters like f, Re, Nu, and pump
and 100 °C. Thermal conductivity increased with temperature                 efficiency. Nanofluids are utilized in different applications
while viscosity decreased, explaining the improved HT                       based on their properties, and optimal conditions of temper-
performance at higher temperatures. A higher inlet temper-                  ature, φ, and particle size exist for improved THP. Using
ature enhanced the HT performance of fluids containing MgO                  nanofluids with greater heat capacity than the base fluid
and CNTs, while TiO2 nanofluids performed better at lower                   enhances thermal system efficiency. Thus, nanoparticles that
inlet temperatures. Further research is needed to investigate               enhance heat capacity and kp of the base fluid should be
the impact of thermal conductivity and viscosity on fluid                   utilized for enhanced HT.
behavior.                                                                      Stability is a crucial factor for nanofluids, with pH variation
                                                                            playing a significant role in enhancing the stability and kp of
4. ENVIRONMENTAL IMPACT OF NANOFLUIDS                                       nanofluids. Higher pumping power is required to counteract
Microscopic liquid suspensions containing tiny particles in the             the effects of nanoparticle size and shape on Δp, stability
main fluid are known as nanofluids. Consequently, the overall               analysis, rheological properties, and HT augmentation.
environmental influence of nanofluids is a blend of the                        Thermohydraulic properties play a crucial role in assessing
environmental impression of the main fluid and the nano-                    and augmenting the performance of nanofluids, with factors
particles. H2O is widely favored as the main fluid due to its               like solid particle φ, Re, Δp, mf, regime, magnetic field, f, and
nontoxic, nonflammable, safe, and easy-to-use properties. The               type of thermal device affecting the improvement of THP.
nature of the nanoparticles, their physical, chemical, toxic, and              Additionally, thermodynamic performance is vital in design-
ecological effects, plays a crucial role in determining the                 ing HT systems, with entropy generation and exergy efficiency
environmental footprint of nanofluids. Additionally, the vf                 being essential factors reliant on the type of nanoparticle,
nanoparticles influences the environmental consequence of                   thermal application, type of flow regime, and φ. Increasing
nanofluids.247 Effective management of the environmental                    thermal efficiency reduces pressure, lowers system energy
effects of nanofluids relies heavily on the optimal design of the           consumption, and minimizes exergy destruction. Analysis of
nanofluid. Utilizing natural substances like silica, alumina, and           entropy generation is necessary to determine beneficial models
iron oxides outcomes in considerably lower environmental                    for thermal systems.
influences compared to the synthetic manufacturing of such                     Replacing conventional working fluids with nanofluids offers
particles. This approach helps minimize energy and material                 advantages in HT performance, though it may lead to
requirements for production. Furthermore, employing natural                 increased Δp, pumping power, and consequently high energy
nanoparticles, typically nontoxic variants, can further mitigate            consumption, incurring additional costs. Limited studies exist
potential toxicity concerns during the application and disposal             on the thermo-economic performance of nanofluids, neces-
of nanofluids. Similarly, reducing the concentration of                     sitating further research to analyze and optimize the cost
nanoparticles can mitigate potential environmental harm.                    performance of nanofluids for enhanced thermal applications.
The manner in which nanofluids are prepared significantly                      The enhanced kt and reduced viscosity of nanofluids make
influences their environmental impact. For instance, Barberio               them promising for high-temperature applications, allowing for
and colleagues248 assessed the environmental impact of                      HT area expansion and potential size and weight reduction in
alumina nanofluids created using either a one-step or two-                  thermal systems. Nanofluids could have diverse applications in
step method. Their findings, based on a combined life cycle                 space exploration, aircraft engineering, and defense technology
assessment and risk assessment, indicated that the one-step                 industries.
method had nearly three times the environmental impact                         The form of additives profoundly influences the properties
compared to the two-step approach. The use of nanofluids to                 of nanofluids. Investigating innovative approaches to synthesiz-
improve HT processes offers environmental advantages by                     ing nanofluids for precise control over microscopic structures
enhancing energy efficiency, thereby reducing energy con-                   opens up intriguing avenues for research.
sumption, heat losses, and heat dissipation. Nanofluids                        The stability of suspensions holds paramount importance in
contribute to environmental and economic savings by lowering                both theoretical investigations and practical implementations.
greenhouse gas emissions. Nanofluids can increase CO2                       This encompasses enduring stability throughout extended
absorption, which helps reduce the environmental impact of                  durations and thermal cycles, necessitating heightened
carbon emissions that contribute to climate change and air                  scrutiny.
pollution. Various studies have demonstrated the positive                      The thermal performance of nanofluids at elevated temper-
environmental impact of nanofluids, such as reducing CO2                    atures remains relatively uncharted territory, presenting
emissions from solar water heaters by using CeO2/water                      promising prospects for applications in high-temperature
nanofluids or copper nanoparticles. These examples highlight                settings such as solar energy absorption and storage. However,
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the rise in temperatures could trigger surfactant deterioration             MNCNT       Multiwalled CNT
and heightened foam generation, demanding thorough                          STHX        Shell and tube heat exchanger
consideration.                                                              TPF         Thermal performance factor
  Nanofluid research can be enriched and broadened by                       THP         Thermal hydraulic performance
delving into innovative nanomaterials.                                      U           Overall heat transfer coefficient
                                                                            FED         Flow energy dissipation
■   AUTHOR INFORMATION
Corresponding Authors
                                                                            HX
                                                                            CNT
                                                                                        Heat exchanger
                                                                                        Carbon nanotube
  S. M. Mozammil Hasnain − Faculty of Engineering and                       Cn          Specific heat
    Applied Science, Usha Martin University, Ranchi 835103,                 DBP         Deflector baffle plate
    India; Present Address: Marwadi University Research                     Nu          Nusselt number
    Centre, Department of Mechanical Engineering, Faculty                   PR          Pitch ratio
    of Engineering & Technology, Marwadi University,                        DPHE        Double pipe HX
    Rajkot, 360003, Gujrat, India; orcid.org/0000-0002-                     Pr          Prandtl number
    9340-1836; Email: smmh429@gmail.com                                     PI          Perforation index
  Shatrudhan Pandey − Department of Production and                          DR          Depth of wing cut ratios
    Industrial Engineering, Birla Institute of Technology, Mesra,           TT          Typical twisted tape
    Ranchi 835215, India; orcid.org/0000-0002-1400-8703;                    VG          Vortex generator
    Email: er.shatrudhanp@gmail.com                                         HP          Heat pipes
  Anipa Tapalova − Department of Biology, Geography and                     nm          Nanometer
    Chemistry, Korkyt Ata Kyzylorda University, Kyzylorda
    120014, Kazakhstan; Email: anipa52@mail.ru
Authors
                                                                            ■
                                                                            ρ
                                                                                 GREEK LETTERS
                                                                                 Density (kg m−3)
   Md Atiqur Rahman − Department of Mechanical Engineering,                 μ    Coefficient of dynamic viscosity (kg·m−1 s−1)
     Birla Institute of Technology, Mesra, Ranchi 835215, India;            β    Perforation ratio
     Department of Mechanical Engineering, Vignan’s Foundation              ϕ    Concentration
     for Science, Technology and Research (Deemed to be                     α    Inclination angle
     University), Vadlamudi, Guntur, Andhra Pradesh 522213,                 v    Average velocity (m s−1)
     India                                                                  vf   Volume fraction
   Nurgali Akylbekov − Laboratory of Engineering Profile                    mf   Mass fraction
     “Physical and Chemical Methods of Analysis”, Korkyt Ata
     Kyzylorda University, Kyzylorda 120014, Kazakhstan
   Rustem Zairov − Aleksander Butlerov Institute of Chemistry,
     Kazan Federal University, Kazan 420008, Russian
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ACS Omega                                                 http://pubs.acs.org/journal/acsodf                               Review
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                                                                                                       ACS Omega 2024, 9, 32328−32349