A Review on Nanofluids: Properties and Applications

  • January 2017
  • International Journal Of Advance Research And Innovative Ideas In Education 3(3):3185-3209
  • 3(3):3185-3209

Avvaru Renuka Prasad at Sai Rajeswari Institute of Technology

  • Sai Rajeswari Institute of Technology
  • This person is not on ResearchGate, or hasn't claimed this research yet.

Harish Nagar at Chandigarh University

  • Chandigarh University

Abstract and Figures

: Thermal conductivity of some materials, Base Fluids and Nanofluids.

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literature review on nanofluids

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A comprehensive review of nanofluids with fractional derivatives: Modeling and application

Nanofluids have been widely used as a class of promising working fluids with excellent heat transfer properties. However, the theoretical research on the thermal enhancement mechanism of nanofluids is still in the preliminary stage. Fractional constitutive models provide a new powerful tool to investigate the superior mechanical and thermal properties of nanofluids owing to their advantages in depicting the memory and genetic properties of the system. Fractional nanofluid models have become one of the hot research topics in recent years as better control of flow behavior and heat transfer can be achieved by considering fractional derivatives. The existing studies have indicated that the results obtained by the fractional-order nanofluid model are more consistent with the experimental results than traditional integer-order models. The purpose of this review is to identify the advantages and applications of fractional nanofluid models. First, various definitions of fractional derivatives and correlations of flux utilized in nanofluid modeling are presented. Then, the recent researches on nanofluids with fractional derivatives are sorted and analyzed. The impacts of fractional parameters on flow behaviors and heat transfer enhancement are also highlighted according to the Buongiorno model as well as the Tiwari and Das nanofluid model with fractional operators. Finally, applications of fractional nanofluids in many emerging fields such as solar energy, seawater desalination, cancer therapy, and microfluidic devices are addressed in detail.

1 Introduction

Nanofluids introduced by Choi [ 1 ] have better heat transfer capability than conventional fluids. The anomalous increment of thermal conductivity of nanofluids provides an opportunity to upgrade traditional thermal technology and presents a theoretical challenge to explain their heat transport mechanisms. The specific thermal conductivity of nanofluids makes them attractive as new working fluids in many fields, including solar thermal engineering, cancer treatment, cooling technology, nuclear reactors, and the petroleum industry [ 2 , 3 , 4 ].

In recent years, the research of nanofluids has become one of the research focuses, as shown in Figure 1 . By considering a nanoparticle-fluid relative velocity, Buongiorno [ 5 ] proposed a nonhomogeneous nanofluid model incorporating the effects of Brownian diffusion and thermophoresis. Tiwari and Das [ 6 ] developed a model to analyze behaviors of nanofluids in terms of the nanoparticle volume fraction. It was assumed that the dispersion of nanoparticles in the base fluid is homogeneous. Nanofluid is treated as a dilute mixture of two phases in the Buongiorno model, while it is regarded as a single-phase flow in the Tiwari and Das model. By using these two classical models, nanofluids under various physical conditions have been investigated [ 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 ].

Figure 1 
               Number of papers on nanofluids published reports by Web of Science.

Number of papers on nanofluids published reports by Web of Science.

The current research mainly adopts integer-order partial differential equation methods, which would not be able to deal with the complex behavior and the memory effect of physical flows. The available literature shows that the nonlocal properties make fractional-order differential operators suitable for describing the global correlation of complex dynamic systems, phenomena, and structures [ 15 , 16 , 17 , 18 , 19 ]. Fractional calculus has been employed to solve fluid flow problems in various applications [ 20 , 21 , 22 ]. In addition, the distribution of nano sized nanoparticles in nanofluids exhibits fractal characteristics [ 23 , 24 , 25 , 26 , 27 ]. Some latest researches [ 28 , 29 ] indicate that the results of fractional-order nanofluid models are significantly more consistent with the experimental data compared with the ones obtained from the integer-order nanofluid models, which makes the research on fractional nanofluids become a new hotspot ( Figure 2 ).

Figure 2 
               Number of papers on fractional nanofluids published reports by Web of Science.

Number of papers on fractional nanofluids published reports by Web of Science.

Recent works on fractional nanofluid models are critically reviewed to gain a better understanding of many key parameters affecting the anomalous heat and nanoparticle diffusion in heat and flow control problems. Section 2 outlines various concepts of fractional derivatives applied in nanofluid models. Section 3 is divided into three subsections. Sections 3.1 and 3.2 the studies on fractional models and physical interpretations of conventional nanofluids, Section 3.3 reviews the works on hybrid nanofluids. A wide range of applications concerning fractional nanofluid models is offered in Section 4. Section 5 draws some conclusions.

2 Various definitions of fractional derivatives

Recently, some new definitions have been proposed considering the nonlocal and nonsingular kernel properties with a good memory effect. This section presents some classical and popular definitions of fractional derivatives applied in describing the physical properties of nanofluids.

2.1 Riemann–Liouville (R–L) derivative

The left-hand and right-hand R–L fractional derivatives with order α ( 0 ≤ α < 1 ) on a finite domain [ a , b ] are given by [ 30 ]

respectively. Here, Γ ( ⋅ ) is the Gamma function.

2.2 Caputo derivative

The Caputo derivative is ideal for solving fractional differential equations with initial conditions, which is defined as follows [ 30 ]:

2.3 Grünwald–Letnikov (G–L) derivative

The G–L derivative is a discrete approximation based on the lattice model with extended-range particle interactions. It can be written as follows [ 31 ]:

where α m = α ( α − 1 ) ( α − 2 ) … ( α − m + 1 ) m ! .

2.4 Caputo–Fabrizio (C–F) derivative

The C–F derivative has an extensive application for solving fluid flow problems without singularity [ 32 ]. It is defined as follows:

where 0 < α < 1 , and N ( α ) is a standardization function that N ( 0 ) = N ( 1 ) = 1 .

2.5 Atangana–Baleanu (A–B) derivative

The A–B derivative has no singularity [ 33 ], which is defined by the generalized Mittag–Leffler function as follows:

where 0 < α < 1 and E α ( − t α ) = ∑ k = 0 ∞ ( − t ) α k Γ ( α k + 1 ) is the Mettag–Leffler function.

2.6 Prabhakar derivative

Prabhakar function plays an irreplaceable role in understanding the divergent dielectric properties of disordered materials and heterogeneous structures. Prabhakar derivative is defined as follows [ 34 ]:

where E α , β γ ( z ) = ∑ n = 0 ∞ Γ ( γ + n ) z n n ! Γ ( γ ) Γ ( α n + β ) , α , β , γ , z ∈ C , and ℜ ( α ) > 0 is the three-parameter Mittag–Leffler function.

2.7 Conformable derivative

The conformable fractional derivative is given by the following form [ 35 ]:

where α refers to the order of the fractional derivative. It is shown that this definition is in accordance with the classical definition of polynomial and first-order derivatives for the cases 0 ≤ α < 1 and α = 1 , respectively.

2.8 Constant-proportional Caputo derivative

In 2020, Baleanu et al . [ 36 ] reported that the constant-proportional Caputo fractional derivative, which is a combination of R–L and Caputo fractional derivatives, is defined as follows:

where α is the order.

The fractional-order derivatives of various definitions provide more tools for describing the physical phenomena and heat transfer characteristics of nanofluids and also make it possible for the fractional-order models to go deep into new research fields.

3 Fractional models

It is worth noting that the study of fractional models for nanofluids is still in its infancy due to the complexity of fractional operators. To explain the dramatic augmentation of heat transfer efficiency for nanofluids, increasing attention has been focused on nanofluid modeling by using the fractional derivative. The Buongiorno nanofluid model as well as the Tiwari and Das nanofluid model are two highly cited models for studying the flow and thermal properties of mono and hybrid nanofluids [ 2 ]. This section is a comprehensive literature review on investigations by modifying these two models with fractional derivatives and assumptions for different kinds of nanofluids.

3.1 The fractional Buongiorno model for nanofluids

First, the fractional operators were employed to establish the constitutive relationships of viscoelastic fluids [ 37 , 38 , 39 , 40 ]. The fractional flow configuration of a rate-type anomalous nanofluid was studied in ref. [ 41 ]. The Caputo fractional derivative was utilized to the velocity field, while the energy and concentration equations were still partial differential equations of integer order described by the Buongiorno model. The finite element method was applied to approximate the velocity, temperature, and concentration fields between two parallel plates. The study of fractional flows of nanofluids has attracted more and more attention due to the development of numerical computation methods for highly nonlinear terms and coupled nonlinear equations. The fractional-order thin film nanofluid flow was considered over an inclined rotating plane [ 42 ], where the Caputo derivative was applied to transform the first-order differential equations into a system of fractional differential equations by the Adams-type predictor–corrector method.

Recent researches show that the thermal conductivity of nanofluids cannot be predicted by conventional laws as the suspended particles dramatically augment the thermal conductivity of nanofluids [ 43 ]. Shen et al . [ 44 ] proposed a renovated Buongiorno model to study Sisko’s nanofluids. The fractional Cattaneo heat conduction in this article [ 44 ] was proposed as follows:

where τ 0 denotes relaxation time, and β is the order with β ! = Γ ( 1 + β ) . By using this heat flux, the corresponding energy equation was given as [ 44 ]

By solving the energy equation numerically, it is shown that the fractional model with Caputo time derivative in Sisko’s nanofluids has a short memory of previous states. It is therefore easy to conclude that the renovated fractional Buongiorno model could be regarded as a candidate model to explore the anomalous heat transport of non-Newtonian nanofluids.

In addition to the time-fractional derivative, the space-fractional derivative has also been used to simulate the nonlocal property of the flow, which means the state depending on the whole region. Whereafter, Zhang et al . [ 45 ] provided a new heat conduction as follows:

where k denotes the thermal conductivity, σ is introduced to maintain the dimensional balance of the constitutive equation, ∂ β / ∂ t β is the Caputo fractional derivative of order β , and for T = T ( t , x , y ) , the operator ∇ γ T is defined as follows [ 45 ]:

with δ ( 0 ≤ δ ≤ 1 ) being the weight coefficient. The symbols ∂ γ T ∂ x γ and ∂ γ T ∂ ( − x ) γ are the left and right R–L fractional derivatives of order γ ( n − 1 ≤ γ < n ) . By incorporating this heat conduction, the energy equation could be written as follows [ 45 ]:

By solving this model, it was found that the memory of the heat conduction process could be indicated by the intersection points of concentration profiles, and the heat conduction loss is less. Therefore, this model lays a foundation for further research on the application of fractional calculus in the field of viscoelastic nanofluids.

Anwar [ 46 ] analyzed convective phenomena in a nanofluid flow and proposed a new relationship between the energy flux and the diffusion mass flu as follows:

where τ 1 and α ( 0 ≤ α < 1 ) represent the relaxation time and the order, respectively. On the other hand, he also applied the operator 1 + τ 1 α Γ ( 1 + α ) ∂ α ∂ t α to the concentration equation given in the Buongiorno model, which is helpful to understand the hereditary and memory characteristics of viscoelastic nanofluids.

In addition, some new definitions of fractional derivatives have been proposed and applied to the study of nanofluids in recent years. Ahmed and Arafa [ 47 ] considered a non-Newtonian magnetohydrodynamic nanofluid flow and entropy generation with a Caputo derivative or a conformable derivative in the governing equations over a vertical plate. The results indicated that the Nusselt number is reduced as the order of the fractional derivative approaches one. In another work, Ahmed [ 48 ] investigated a natural convection nanofluid flow in wavy walls by using the time and space conformable fractional derivative in the governing equations of the Buongiorno mathematical model. The findings showed that the rate of the nanofluid flow increases as the order of the fractional derivatives decreases. Arafa et al . [ 49 ] studied an unsteady magnetohydrodynamic (MHD) nanofluid due to microorganisms using the A–B derivative, which gives a good approximation compared with the Caputo derivative.

It is necessary to note that investigation of the entropy generation optimization for nanofluid models is meaningful due to the wide applications in different systems such as natural convection, evaporative cooling, solar thermal, air separators, microchannel, and so on [ 50 ]. So far, little research has been done on entropy generation analysis of nanofluids with fractional derivatives so far. It is believed that this will be a new research hot topic in the near future.

3.2 The fractional Tiwari–Das model for nanofluids

Extending the Tiwari and Das model, the anomalous transport of particles in nanofluids has been described using fractional calculus [ 51 , 52 ]. The thermophysical properties of base fluids and nanoparticles are listed in Table 1 .

Thermophysical properties of the base fluid and nanoparticles at 20°C [ 80 , 86 , 101 , 125 , 134 ]

Base fluid/nanoparticles (kg/ )
Water 997.1 4,179 0.613 21
Ethylene glycol 1,115 2,386 0.2599
Blood 1,050 3,617 0.25 0.18
Engine oil 884 1,910 0.114 70
Kerosene oil 783 2,090 0.145 91
Copper (Cu) 8,933 385 401 1.67
Copper oxide (CuO) 6,320 531.8 76.5 1.8
Alumina ( ) 3,970 765 40 0.85
Silver (Ag) 10,500 235 429 1.89
Titanium oxide ( ) 4,250 686.2 8.9538 0.9
Molybdenum disulfide ( ) 5,060 397.21 904.4 2.8424
Gold (Au) 19,300 129 318 1.42
Single wall carbon nanotubes (SWCNTs) 2,600 425 6,600 27
Multi wall carbon nanotubes (MWCNTs) 1,600 796 3,000 44
Graphene 2,200 790 5,000 0.32
Clay 6,320 531.8 76.5 1.80

3.2.1 Nanofluid models with conventional fractional derivatives

To the best of our knowledge, Pan et al . [ 53 ] proposed an alternative explanation for the anomalous heat transport of nanofluids by using space fractional derivative first. They concluded that the thermal conductivity of the nanofluid is affected by the motion of non-Newtonian fluids and the nonuniform spatial distribution of nanoparticles. In response, the space-fractional derivative was introduced to model the energy equation given by [ 53 ]

where the parameters are given in Table 2 with the subscripts n f , f , and s corresponding to nanofluid, base fluid, and nanoparticle, respectively. The results revealed that the space-fractional temperature equation could be a potential candidate to explain the enhancement of thermal conductivity. Subsequently, they extended the space-fractional thermal transport equation by using the Caputo derivative to describe convective heat transfer in the boundary-layer flow [ 54 ] and steady mixed convection of nanofluids [ 55 ].

Physical properties of nanofluids [ 56 ]

Property Nanofluids
Dynamic viscosity, , volume fraction
Density,
Heat capacity,
Thermal conductivity,

Cao et al . [ 57 ] studied a fractional Maxwell nanofluid over a moving plate and formulated the governing equations with Caputo’s definition as follows:

which were solved numerically by the finite difference method. Their results showed that the order of the time fractional derivative and relaxation time have a noticeable impact on the characteristics of nanofluid flow and heat transfer. Via replacing the time derivative of an integer order with that of fractional order, various nanofluids including Poiselliue/Couette, Maxwell, Oldroyd-B, Jeffrey, and Brinkman have been investigated under different physical conditions [ 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 ]. It has been found that the heat transfer rate of fractional nanofluids is better than that of ordinary nanofluids. Furthermore, the influence of nanoparticle shapes on the nanofluid has also been investigated under different physical conditions [ 67 , 68 , 69 , 70 ]. The results indicated that the heat transfer is the strongest for containing spherical nanoparticles, which agrees the physical fact.

Ahmed et al . [ 71 ] studied the natural convection heat transfer of nanofluid through a rectangular vertical channel. A thermal process with power-law weakly memory was considered by Povstenko [ 72 ], namely,

Based on this generalized Fourier law, the convection flow of nanofluids with various nanoparticles between two vertical parallel walls has been investigated [ 73 , 74 , 75 , 76 ]. It indicated that the nanofluid models with fractional generalized Fourier’s law show the memory effect, which could not be demonstrated by the integer-order models.

Asjad et al . [ 77 ] considered an MHD viscous nanofluid flow with fractional generalized Newton’s law, fractional generalized Fourier’s law, and Fick’s law with Caputo derivative. The expression for the heat flux q was formulated as the following fractional form:

By using this fractional heat flux, mixed convection magnetohydrodynamics nanofluids [ 78 ], viscoelastic nanofluid flow with suspended carbon nanotubes [ 79 ], and MHD Maxwell’s nanofluids with SWCNT and MWCNT [ 80 ] have been discussed to achieve more control on heat transfer.

In addition, some steady nanofluid models were studied by applying the Caputo derivative to the ordinary differential equation system directly [ 81 , 82 ]. The G–L derivative was also adopted to discuss double rotations between an inner wavy shape and a hexagonal-shaped cavity [ 83 ]. The primary outcomes of this work indicated that the double rotation process mainly depends on the time-fractional derivative. To gain a better insight into the memory behavior of nanofluid, the variable-order fractional derivative was implemented in the governing equations to study unsteady natural-convection Jeffrey’s nanofluids over an oscillating plate [ 84 ]. Up to now, there have been few studies of variable-order fractional nanofluid models. However, the variable-order fractional calculus is ideal for describing the memory and hereditary properties because that the memory and nonlocality of the system may change with time, space, or other conditions [ 22 ]. Therefore, it is notable to mention that further investigations should be dedicated to variable-order fractional nanofluid models.

3.2.2 Nanofluid models with new fractional derivatives

Taking advantage of the C–F derivative, exact analytical solutions were established for the dimensionless temperature and velocity fields of nanofluids over a moving vertical plate [ 85 ]. The researchers considered different nanoparticles concluding copper, copper oxide, silver, aluminum, and titanium oxide. Results suggested that the heat transfer enhancement of nanofluids wit Cu was the strongest, while the enhancement effect of nanofluids containing TiO 2 nanoparticles was the weakest. Moreover, the heat transfer is better with spherical nanoparticles than those containing cylindrical nanoparticles, which is in good agreement with experimental results.

Ali et al . [ 86 ] considered generalized Couette’s flow of coupled stress nanofluid via the C–F derivative. They revealed that the rate of heat transfer can be increased to 12.38% by adding MoS 2 in regular engine oil. The C–F derivative was also used for thermal analysis in a coaxial cylinder of Oldroyd-B nanofluids [ 87 ]. Furthermore, a comparative study between the Caputo and C–F fractional models was presented in the study by Aleem et al . [ 88 ] for an MHD nanofluid flow, which showed that the C–F model declines faster than the Caputo model and hence is more suitable to exhibit the flowing memory.

The kernel of the A–B derivative is based on the generalized Mittag–Leffler function without singularity and locality, which gives a better description of memory in different scaled structures. The A–B derivative was applied to study molybdenum disulfide nanofluids with magnetic field and a porous medium [ 89 ]. This newly introduced fractional derivative was also applied to study the generalized Brinkman-type nanofluids [ 90 ] and convective flow of nanofluids [ 91 ]. Many works have followed to investigate nanofluids with this fractional-order derivative [ 92 , 90 , 93 , 94 , 95 , 96 , 97 , 98 , 99 , 100 , 101 , 102 ]. To have better insight into the various rheological parameters, a comparison of A–B and C–F fractional operators was also performed for temperature and velocity fields of nanofluids with different nanoparticles [ 103 , 104 , 105 , 106 , 107 , 108 , 109 , 110 ].

The governing equations of nanofluids have also been modeled using the Prabhakar derivative and the conformable derivative to describe the generalized memory effect recently. For Prabhakar-like thermal transport, carbon nanotube nanofluids [ 111 , 112 ] and Casson nanofluids [ 113 ] have been considered. It was found that fractional parameters were meaningful in experimental data fitting in some heating and cooling phenomena. In addition, the conformable fractional derivative was used to study a power-law nanofluid flow [ 114 ]. The main outcomes of this study revealed that the increase in the fractional order augments the average Nusselt number regardless of time. From the aforementioned developments, it could be concluded that the fractional solution is more effective than the classical solution.

Because of the advantages these new definitions, it is clear that nanofluid modeling with modeling with new derivatives develops into the growth period. However, some in-depth problems gradually appear. Optimization on the parameters, comparison with experimental data, and analysis of physical phenomena have become their further development shackles, which are theoretical and practical problems that need addressing.

3.3 Fractional models for hybrid nanofluids

Hybrid nanofluids are formed by suspending two or more kinds of nanoparticles in a base fluid [ 115 ]. It was found that the thermal characteristics of hybrid nanofluids are better than the base fluid and mono nanofluids [ 116 ]. This field has attracted experimental studies [ 117 , 118 ] and theoretical researches [ 119 , 120 , 121 , 122 , 123 , 124 , 125 , 126 , 127 , 128 , 129 , 130 ]. The general relations of thermophysical properties of hybrid nanofluids are given in Table 3 with the subscripts h n f , f , s 1 , and s 2 corresponding to hybrid nanofluid, base fluid, and two different nanoparticles, respectively.

Physical properties of hybrid nanofluids [ 131 ]

Property Hybrid nanofluids
Dynamic viscosity,
Density,
Heat capacity,
Thermal conductivity,

To better capture the flow patterns and thermal behaviors of hybrid nanofluids, different fractional derivatives have been employed to model the governing equations. By using the Caputo derivative in constitutive relations, Casson hybrid nanofluids [ 132 , 133 ], hybrid nanofluids with aluminum and copper nanoparticles [ 134 , 135 ], and hybrid Maxwell’s nanofluids [ 136 ] have been investigated. Their observations demonstrated that water-based hybrid nanofluids have higher temperature and velocity than engine oil-based hybrid nanofluids, and an increase in the order of the fractional derivative leads to the decrease in both the local and average Nusselt numbers.

The constant-proportional Caputo derivative has been applied to study aluminum and copper hybrid nanofluids due to pressure gradient [ 137 ], Brinkman-type hybrid nanofluids holding titanium dioxide and silver nanoparticles [ 138 ], as well as MHD free convection flow of hybrid nanofluids with hybridized copper and aluminum oxide nanoparticles [ 139 ].

C–F and A–B fractional models were also built for hybrid nanofluids. Gohar et al . [ 140 ] considered hybrid nanofluids with Al 2 O 3 and MWCNT nanoparticles using the C–F derivative. Their results showed that the binding strength of cement slurry improves through a sizable increase of suspending hybrid nanoparticles. The C–F fractional derivative has also been applied to investigate a convection flow of water-based hybrid nanofluids with Cu and Al 2 O 3 [ 141 , 142 ] and the MHD hybrid nanofluids with hybridized silver and titanium dioxide in a microchannel [ 143 ]. To further analyze the thermal and flow behaviors of hybrid nanofluids, C–F and A–B fractional models were formulated to explain flow patterns and thermal behaviors of sodium alginate-based hybrid nanofluids [ 144 ]. The analysis of MHD hybrid nanofluids comprising of MoS 2 and Fe 3 O 4 nanoparticles employing A–B derivative was also presented by Anwar et al . [ 145 ]. The observed results implied that the fractional models are more effective for enhancing the heat transfer rate and limiting the shear stress.

In conclusion, various fractional operators have been applied to study the flow and heat mass transfer of mono and hybrid nanofluids. It is necessary to seek the most suitable fractional operators to model the heat and mass transfer properties of nanofluids. To better simulate complex fluid flow and heat and mass transfer of nanofluid, construction of efficient numerical methods and parameter estimation based on experimental data are suggested for future works. It is worth noting that there are few high precision numerical solutions for nonlinear governing equations of fractional nanofluids. So it is necessary to study high-precision numerical methods and their stability and convergence of a general form of nonlinear governing equations for nanofluid models.

Figure 3 
                  Applications of nanofluids.

Applications of nanofluids.

4 Applications of fractional nanofluids

The increase in thermal conductivity and heat transfer coefficient enables nanofluids attractive as new working fluids or coolants in many emerging applications such as radiators, heat exchangers, aircraft engine cooling, electronic cooling, space shuttle thermal protection, and aircraft environmental control systems [ 146 , 3 ]. Due to memory and the nonlocality property in many complex systems, fractional nanofluids have also shown great potential for applications in some important fields such as solar energy, seawater desalination, human health, and microfluidic devices ( Figure 3 ).

4.1 Solar energy

Solar energy has proved to be free renewable energy with the least effect on the environment. The latest researches have indicated that nanofluids can enhance the collection and heat transfer rate of solar energy [ 147 , 148 , 149 ].

Nanofluid is regarded as an alternative source to produce solar energy in thermal engineering and solar installations. In an application to solar energy, Aman et al . [ 150 ] used the Caputo time fractional derivative to MHD Poiseuille flow of nanofluids with graphene nanoparticles, which showed that fractional nanofluids have a higher rate of heat transfer and Sherwood’s number than ordinary nanofluids. Abro et al . [ 151 ] presented a rotating Jeffrey nanofluid model via the C–F fractional operator and considered single, and multi-walled carbon nanotubes. Their results indicated that the incoming sunlight can be absorbed more effectively via introducing a fractional-order operator.

Sheikh et al . [ 152 ] carried out a comparative analysis of C–F and A–B fractional models on the application of nanofluids to enhance the performance of solar collectors. In another work, they provided the mathematical formulation for water-based nanofluids with CeO 2 and Al 2 O 3 to increase the heat transfer rate of solar equipment [ 153 ]. Considering the influence of the transverse magnetic field, Aamina et al . [ 154 ] developed a nanofluid model to predict the heat transport properties of solar collector in a rotating frame. Currently, more and more researchers have paid attention to the application of fractional nanofluid models on solar energy. It is believed that breakthroughs will be made in this area in the near future.

4.2 Water cleaning and desalination

The shortage of fresh water is recognized as one of the global problems to be solved urgently. Many desalination process systems have been developed recently. One of these systems that has attracted much attention is the solar still as it realizes seawater desalination through solar energy [ 155 , 156 , 157 ]. The implementation of nanofluids provides a promising way to improve the productivity of the solar still. It has been found that the solar still output is greatly affected by nanoparticles such as copper oxide, graphene, and titanium oxide [ 158 , 159 , 160 ].

Most works related to solar still systems were based on ordinary differential equations, which led to a high error between the numerical and actual values in simulation systems. Until very recently, the fractional derivative has been introduced into modeling solar desalination systems that integrate directly with a photovoltaic panel. El-Gazar Hamdy Hassan et al . [ 161 ] studied hybrid nanofluids and saline water preheating using C–F and R–L fractional derivatives. Their results revealed that the best agreement with experimental data was achieved by the R–L derivative with an error of 3.59%, while the error produced by employing the classical derivative reached 18.9%. Utilizing the R–L derivative, they also simulated the thermal performance of solar still on the desalination system [ 29 ]. The theoretical results showed an agreement between the proposed fractional model and the experimental data with an error of 1.486% in summer and 3.243% in winter compared to an error of 24.1 and 20.08% in the case of applying the integer-order derivative. Researchers have begun to notice that this method is very efficient in dealing with desalination problems.

4.3 Human health

For the majority of patients, cancer is fatal. Recent investigations indicate that gold nanoparticles can penetrate widely throughout the body. More importantly, gold nanoparticles are capable of producing heat for tumor-selective photothermal therapy and cancer treatment [ 162 , 163 ].

In 2018, Mekheimer et al . [ 164 ] studied the blood flow containing gold nanoparticles in a gap between two coaxial tubes. The results indicated that the gold nanoparticles are effective for drug delivery systems as they can increase the temperature distribution to destroy cancer cells. Recently, viscoelastic models with fractional-order different equations were chosen to describe blood movements [ 165 ]. Currently, there are still very few studies on the application of fractional nanofluid models to cancer treatment for human health. We hope fractional calculus and nanofluid can play a vital role in human health, which is designed to handle some challenging issues in this application.

4.4 Microfluidic devices

Nanofluids in microfluidic systems are considered to have enormous potential because of their superior heat transfer properties [ 166 ]. To improve the thermal and electric conductivity of microfluidic systems, electrified nanofluid flow with suspended carbon nanotubes over a stretching sheet was considered by Anwar et al . [ 79 ]. The mathematical formulation of the flow problem was modeled with Caputo fractional derivatives to achieve better control of flow behavior and heat transfer.

In various microfluidic devices, currently, the electroosmotic flow is one of the widely used microfluidic driving methods because of the ability to create continuous pulseless flows and eliminate moving parts [ 167 , 168 , 169 ]. To offer new insights for the nonlinear issues, the fractional Cattaneo model is applied to study the unsteady electroosmotic flow of second-grade hybrid nanofluid through a vertical annulus and microchannel [ 170 , 171 ]. The results showed that the fractional-order parameter provides a crucial memory effect on the velocity and temperature fields. The superiority of fractional model of electroosmotic flow of nanofluids for microfluidic systems has yet to be explored.

5 Conclusion

The current work provides an overview of recent researches and developments on nanofluid models with fractional derivatives. The enhanced thermal conductivity of mono and hybrid nanofluids leads to significant practical and potential applications. The anomalous thermal behavior of these fluids could not be explained by existing theories. On the one hand, this provides a great opportunity for researchers because the new properties encourage studies of new models of heat transfer and efforts to develop a comprehensive theory. On the other hand, the challenge is greater than ever due to the difficulty of matching the theory with experiments. In recent years, fractional calculus has been introduced to study the anomalous thermal behavior of nanofluids. Since fractional derivatives provide greater flexibility for the heat transfer control, recent investigations have witnessed increasing interest and developments of fractional nanofluids models.

During the last few years, many definitions of fractional derivatives have been introduced to describe the physical phenomena and constitutive equations of materials. It has been found that the fractional derivatives may have good memory effect. However, while providing more tools for research on nanofluids, there is also a challenge in choosing which one is more appropriate with experimental data. Currently, in addition to the research work of high-precision numerical algorithm, it is necessary to carry out experimental analysis on heat and mass transfer characteristics of non-Newtonian nanofluids, study the internal laws of the non-Newtonian nanoparticle flow, and explore the physical significance of qualitative analysis of fractional-order parameters through parameter inversion. Practical application of fractional nanofluid models in solar energy, desalination, human health, microfluidic devices, and other emerging fields is also worthy of further exploration and research.

Funding information : This research was supported by the Natural Science Foundation of Fujian Province (Grant no. 2019J01646).

Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.

Conflict of interest: The authors state no conflict of interest.

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  • Published: 15 September 2023

A critical insight on nanofluids for heat transfer enhancement

  • Abdul Hai Alami 1 , 2 ,
  • Mohamad Ramadan 3 , 4 ,
  • Muhammad Tawalbeh 1 , 2 ,
  • Salah Haridy 2 , 5 , 6 ,
  • Shamma Al Abdulla 1 ,
  • Haya Aljaghoub 2 , 5 ,
  • Mohamad Ayoub 1 , 2 ,
  • Adnan Alashkar 7 ,
  • Mohammad Ali Abdelkareem 1 , 2 &
  • Abdul Ghani Olabi 1 , 2  

Scientific Reports volume  13 , Article number:  15303 ( 2023 ) Cite this article

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  • Materials science
  • Mechanical engineering
  • Nanoscale materials

There are numerous reports and publications in reputable scientific and engineering journals that attribute substantial enhancement in heat transfer capabilities for heat exchangers once they employ nanofluids as working fluids. By definition, a nanofluid is a working fluid that has a small volume fraction (5% or less) of a solid particle with dimensions in the nanoscale. The addition of this solid material has a reported significant impact on convective heat transfer in heat exchangers. This work investigates the significance of the reported enhancements in many recent related publications. Observations on these publications’ geographical origins, fundamental heat transfer calculations, experimental setups and lack of potential applications are critically made. Heat transfer calculations based on methodologies outlined in random selection of available papers were conducted along with a statistical analysis show paradoxically inconsistent conclusion as well as an apparent lack of complete comprehension of convective heat transfer mechanism. In some of the surveyed literature for example, heat transfer coefficient enhancements were reported to be up to 27% and 48%, whereas the recalculations presented in this work restrain proclaimed enactments to ~ 3.5% and − 4% (no enhancement), respectively. This work aims at allowing a healthy scientific debate on whether nanofluids are the sole answer to enhancing convective heat transfer in heat exchangers. The quantity of literature that confirms the latter statement have an undeniable critical mass, but this volition could be stemming from and heading to the wrong direction. Finally, the challenges imposed by the physical nature of nanoparticles, as well as economic limitations caused by the high price of conventional nanoparticles such as gold (80$/g), diamond (35$/g), and silver (6$/g) that hinder their commercialization, are presented.

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Introduction.

There are many scientific points of contention in the presentation of results for the claimed enhancement in either the working fluid heat transfer properties (thermophysical) or in the alleged enhancement of heat transfer in general. This fact is found to be true for the majority of the articles reviewed in this work, where the definition and calculation of heat transfer and its desired departure from the baseline working fluid performance is either not clear or completely erroneous.

It is well-known that convective heat transfer is one of the most complex phenomena in heat transfer. Physically, it commences as conduction between a solid surface and adjacent static fluid molecules, which is so far from a pure conduction problem and heat transfer can be determined accurately and easily. But as the molecules gain (or lose) thermal energy, their specific volume also changes accordingly, and a relative motion is initiated by the thermally induced density gradient like hot air balloons. This motion capitalizes on the intrinsically generated buoyancy force. As fluid motion gains more momentum (signified by the velocity increase of particles), the mechanism of heat transfer switches to convection, as the conditions for conduction are no longer applicable and its contribution diminishes.

Heat transfer by convection is a complex phenomenon, as it is directly influenced by several interdependent factors that relate not only to fluid type or properties but also to the nature of fluid flow. It is important to mention a trivial fact that may be inconspicuous for students and researchers of convective heat transfer. This mode of heat transfer is unimportant if it is not in direct contact with a solid surface at a temperature different than that of the working fluid. Anything far enough from the solid surface (or body) is free from thermal and viscous effects that arise due to the proximity of the fluid to that solid. The geometrical shape, surface roughness and physical boundaries of the solid play a significant role in the quality of heat transfer within the fluid as it is responsible for mixing vigor and thus the homogeneity of the heat transfer. The thermophysical properties of the fluid, on the other hand, are also responsible for the quality of heat transfer between the fluid molecules. The thermal conductivity, heat capacity and density are all factors that directly affect heat transfer and it is desirable to couple the fluid flow parameters and thermophysical properties of the fluid in such a manner as to achieve an as high as possible heat transfer effectiveness.

This work discusses the limitations and implications of conventional heat transfer coefficient calculation methods. A summary on previously conducted literature review is shown in Table 1 . They provide insights on the preparation of nanofluids, enhancements as proclaimed by corresponding researchers, as well as the utilization of nanofluids across different applications. However, they seem to lack perspective on the calculations carried out by the reported research, which may give a false sense of enhancement in some cases. As the conducted literature review reveals that only a small percentage of authors have thoroughly assessed the convective heat transfer problem from both fluid flow and thermophysical properties perspectives. Discretizing problems, leading to measuring the thermophysical properties of nanomaterials and applying deterministic heat transfer equations, without taking into account the biases introduced by this approach, is a common ground between a myriad of published works. Moreover, experimental setups for heat transfer measurement lack sensitivity and error analysis. Which is why this work puts into perspective the recalculation of the convective heat transfer coefficients from previously published work, utilizing suitable convective heat transfer relations to examine the proclaimed enhancements. Furthermore, the paper examines maintenance and implementation challenges of using nanofluids in practical heat exchangers, including agglomeration, impaired heat transfer, and the high cost of conventional nanoparticles.

Convective heat transfer basics and enhancements

Analyzing the interaction of the two complex sets of influential parameters (fluid flow and thermophysical) has been the holy grail of any research in convective heat transfer. Fluid dynamics is currently governed by the relationships established by Navier–Stokes and documented by their equations. In these equations, the effects of interaction of body, pressure, and viscous forces on the change of velocity in both magnitude and direction in all three dimensions is detailed. These famous equations sets still cannot be analytically solved and thus cannot be applied to scenarios under laboratory control, let alone in real life applications.

What Bernoulli was able to achieve in simplifying the Navier–Stokes equation for one dimensional, incompressible, and inviscid flow (a single line, simple equation) has resulted in all domestic, industrial, military and aerospace advancements relating to fluid flow to date. Of course, his equations needed modifiers in the form of friction graphs (Moody diagram) or compressible flow assumptions (polytropic flow around shockwaves).

As for heat transfer analysis, even with the rare situations where the thermophysical properties are unambiguously defined, once the convective mechanism becomes the most dominant heat transfer mode the estimation of energy transfer can be too divergent from real or measured values. The relative simplicity of Newton’s law of cooling, which is the following equation:

where Q is the heat transfer in [J], A is the solid surface area in contact with the fluid in [m 2 ], \({T}_{s}\) and \({T}_{\infty }\) are surface and ambient temperatures in [K], respectively.

The convective heat transfer coefficient, h in [J/m 2 K], seems deceptively easy to determine from this straightforward relationship. But if one is to examine its values from any heat transfer textbook, its variation can be from 2 J/m 2 K for natural convection of air up to 100,000 J/m 2 K for turbulent flow heat transfer that involves phase change of a liquid working fluid. This is an indication of the complexity of the heat transfer problem under convection. The accuracy in determining the convective heat transfer coefficient so it can be plugged into Eq. ( 1 ) proves to be an unsurmountable impasse for any practical application, mainly due to the lack of direct coupling of heat transfer with the influence of fluid flow.

By consulting most practical heat transfer textbooks and speaking from a pragmatic engineering perspective, empirical formulas were heavily used by engineers and practitioners to facilitate the speed with which they obtained answers to heat transfer problems. All empirical formulas are practical and save extensive (and precious) time needed to setup and solve analytical or simulation models. The empirical models are currently properly documented in literature and are taught in most engineering heat transfer courses. The main and obvious drawback of employing empirical formulas in heat transfer is that they all come with a disclaimer that if their boundary conditions are not obeyed or experimental constraints observed, the results can be off by as much as 30% in some cases. Still, for most practical applications, this percentage is a small price to pay if a solution is offered in a fraction of the time needed for simulation and with a clear error margin that can be incorporated into a factor of safety that has a finite and measurable effect on the price of the heat transfer solution being designed.

Experimental assessment of convective heat transfer

Convective heat transfer phenomenon is quite complex, and its mathematical analysis requires rigorous solution of multi-variate and multi-dimensional system of differential equations. One pathway to follow the empirical router and feed simplified forms of these differential equations with well-designed experimental results. The empirical formulae used to assess convective heat transfer take the following general form:

where Nu is the dimensionless Nusselt number, h is the convective heat transfer coefficient in [J/m 2 K], k is the thermal conductivity of the fluid in [J/mK], D is a characteristic length in [m] (can be L in the case of flat plates, D if the flow is around a curved body), Re is the Reynolds number [dimensionless] and Pr is Prandtl number [dimensionless], C, m and n are coefficients that correspond to the original data fit and are available in all heat transfer textbooks.

Eq. ( 2 ) has two parts and is solved for Nu from a fluid flow perspective first. This part involves evaluating Re as well as selecting a value for Prandtl number, which relates momentum diffusivity to thermal diffusivity (which is almost fixed for specific fluids and available in literature). Then, the convective heat transfer coefficient can be estimated by multiplying the freshly found Nusselt number with the thermal conductivity of the fluid and dividing it by the characteristic length. The value of ( h ) can then be substituted into Eq. ( 1 ) and the heat transfer is estimated with the pertinent accuracy limitation that might necessitate quoting the value with a higher and a lower limit and make the design decision accordingly.

The above procedure, with its limitations and implications might be clear for all scholars working with heat transfer. In order to carry out such a standardized test, there are different aspects that should be taken into account, including sample preparation with uniform dispersion and a stable homogeneous nanofluid. Moreover, preventative measures must be upheld to avoid agglomeration and precipitation. Furthermore, characterization techniques that take into account the thermal conductivity of both nanoparticles and nanofluids, viscosity measurements, particle size distribution, and the Zeta potential which studies the dispersion of nanoparticles within nanofluids with time, must be conducted. There is also a need for standardized nanofluids to measure the performance of rising nanofluid combinations upon. Additionally, measurement conditions including temperature, flow velocity, viscosity, and density should be reported in order to allow the reproduction of reported results, all while taking into account error, statistical, and uncertainty analysis.

What this work found in most of the literature surveyed, however, is that only a small percentage of authors went through the exercise of comprehensively assessing the convective heat transfer problem from both fluid flow and thermophysical properties perspectives. The discretization of the naturally continuous and interconnected problem of convective heat transfer is the trap that most researchers appear to have fallen into. As the readers will later see, most authors measured the thermophysical properties of the nanomaterial to be added to the fluid in a certain proportion, adjusted these properties for the nanofluid as an arithmetic average of the amount of fluid times its properties, with the amount of nanomaterial times its properties, and plugged these numbers into deterministic heat transfer equations, which provided a seemingly impressive lines conforming on one another. This is the first major source of bias that will be highlighted in this paper.

The other source of bias that will be discussed in this work is the experimental setups for heat transfer measurement. Most of the setups have thermocouples and thermometers that measures temperature change and plots the performance of the nanofluid at different concentrations of nanomaterial in the solvent. The thermophysical properties are also plotted, but the number of publications that carries out sensitivity analysis or a correct error analysis are also limited. So far, and as will be presented later, the data show obvious overlap with baseline readings, where the whole enhancement would appear to be within the natural variation of the instruments and the process.

Finally, the promised enhancement that these nanofluids offer in heat transfer for heat exchangers will be examined from maintenance and implementation points of view. Most heat exchanging equipment are sensitive to nanoscale particles accumulation over their lifetime, as these particles cause malfunctions or can impede heat transfer. There is also the issue of the cost of such material, as many authors opt for gold and sometimes diamond nanoparticles that have limited chances of being recovered or recycled in the system without significant loss.

Geographical distribution of publications

Research on nanofluids has increased dramatically in the last decade, where numerous experimental and theoretical investigations have been carried out on different aspects of nanofluids 6 . In this analysis, a Scopus database search was conducted to highlight scientific research papers published using the keyword “Nanofluids”. This search and subsequent analysis covers years 2010 to 2022, and shown in Fig.  1 . A total of 124 countries and territories contributed articles to the scene. Where India ranked top in nanofluid publications with 5524 papers. Similarly, researchers in Iran and China published 3907 and 3885 papers, respectively. Furthermore, Pakistan, Saudi Arabia, Malaysia, the United States, Egypt, Turkey, and the United Kingdom also made notable contributions. In terms of publication types, Fig.  2 . shows that the majority of these publications are journal articles, followed by conference papers, reviews, and others.

figure 1

Publications on nanofluids by region between 2010 and 2022.

figure 2

Classification of publications.

Heat exchanger design

To be able to compare enhancement in heat transfer due to working fluid substitution, the American Society of Mechanical Engineers (ASME) standards should be invoked. These standards, coupled with engineering heat transfer textbooks single out the double-pipe counter flow heat exchanger as the De facto basis of comparison of different heat transfer changes attributed to the utilization of different working fluid. Usually, the basic run consists of pure water circulated into the heat exchanger using pumps, while temperature variations at inlets and exits of the cold side vs. hot side are recorded and compared. Different flow rates, and thus Re numbers, are also tried so that the temperature profile at steady state operation is then used to estimate Nu and consequently find an estimate to the convective heat transfer coefficient.

In general, there is a lack of consensus in literature as which heat exchanger geometry should be the standard for testing heat transfer enhancements from the addition of nanofluids. Although the simple double-pipe heat exchanger equipped with appropriate temperature, pressure and flow telemetry and data acquisition setup would be expected to standardize the outcome of such experiments and make any comparison more valid and valuable. The most common heat exchangers used for experiments are the circular tube, double pipe and shell-and-tube types. A summary of each is given in the following sections, along with reflections from the authors on the significance of claimed heat transfer enhancement in cited literature.

Circular tube heat exchanger

Convective heat transfer through circular tubes is vital to investigate, due to the multitude of applications that depend on the heat transfer characteristics of fluids inside such tubes. Circular tubes are employed in heat exchangers, boilers, cooling, and solar thermal techniques such as parabolic trough collectors. The application of nanofluids to improve the heat characteristics of fluids inside circular tubes has been extensively studied both experimentally 7 , 8 , 9 and analytically 10 , 11 . The convective heat transfer coefficient of the fluid inside the circular tube is calculated using the following equation:

where the Nusselt number depends on various variables such as the flow type, boundary conditions, Reynolds and Prandtl numbers. For instance, the Nusselt number for a fully developed laminar flow in a circular tube with constant wall temperature be calculated using the following correlation:

For fully developed laminar flow in a circular tube with constant wall heat flux, the Nusselt number can be calculated using the following correlation:

For turbulent flow regimes in a circular tube with constant wall temperature, the Nusselt number can be calculated using the following correlation known as the Dittus Boelter correlation:

For turbulent flow regimes in a circular tube with constant wall heat flux, the Nusselt number can be calculated using the following correlation:

Bianco et al. 12 numerically investigated the heat characteristic of a fully developed laminar flow water-Al 2 O 3 nanofluid in a circular tube. The variation of the Reynolds number and the volume fraction on the convective heat transfer was also studied. The Reynolds number varied between 250, 500, 750, and 1050 respectively. While volume fractions of 1% and 4% were employed. The numerical results showed an improvement of 14% in the convective heat transfer coefficient for a volume fraction of 4% and a Reynolds number of 250. Nevertheless, by employing the same parameters from the study and calculating the improvement in the heat transfer coefficient through the above correlations, an improvement of merely 10% is recorded. This showcases that the calculation of the convective heat transfer coefficient through suitable Nusselt number correlations yields less enhancement, also shown in Fig.  3 12 .

figure 3

Comparison between present work calculations and Bianco 12 for the heat transfer coefficient.

Ali 10 experimentally investigated the convective heat transfer of SiO 2 /water turbulent flow inside a copper circular tube. The volumetric concentrations of the SiO 2 particles was varied between 0.001%, 0.003%, and 0.007%. The experimental results reported an increase in heat transfer coefficient of approximately 27% when using SiO 2 nanoparticles at a concentration of 0.007%, compared to deionized water, at the highest Reynolds number of 19,500. At a lower concentration of 0.001% SiO 2 nanoparticles, the maximum enhancement in heat transfer was observed to be around 8–9%. As the concentration of SiO 2 nanoparticles increased, there was an observed increase in convective heat transfer coefficient. Nevertheless, by utilizing the above correlations and calculating the heat transfer coefficient through the Nusselt number, an increase of only 2.94% and 3.44% was recorded for the heat transfer coefficient of the nanofluids at concentrations of 0.007% and 0.001%, respectively. Table 2 shows a comparison between the obtained results from 10 and the calculated results.

Karabulut et al. 9 carried out a numerical and experimental analysis to study the convective heart transfer of graphene oxide (GO)/ water nanofluid under turbulent flow inside a circular tube. The convective heat transfer coefficient was obtained through numerical analysis, then utilized to calculate the value of the Nusselt number. The results obtained in this study can be summarized as follows: The average increase in the convection heat transfer coefficient was 29% when using a nanofluid with 0.01 vol% GO concentration, at a Reynolds number of 5032. However, when the concentration of GO-DW was increased to 0.02 vol%, the enhancement in the convection heat transfer coefficient reached 48%. Once again, calculating the convective heat transfer based on the above correlations and utilizing the same exact parameters, yielded that the presence of nanoparticles adversely affected the heat transfer characteristics. For instance, the addition of 0.01% GO reduced the convective heat transfer by 5% and the addition of 0.02% reduced it by 4%. Table 3 shows a comparison between the obtained results from 9 and the calculated results.

Double pipe heat exchanger

Concentric tube heat exchangers are widely utilized across various applications, serving purposes such as air-conditioning, oil cooling, refrigeration, engine cooling, and material processing. As a result, concentric tube heat exchangers can be used in several industries, including chemical, refinery, and pharmaceutical industries. The widespread use of concentric tube heat exchangers is due to their low cost, high reliability 13 , simple design, and robust configuration 14 . A concentric tube heat exchanger generates a temperature gradient by employing various fluid streams at unique temperatures in parallel, divided by a pipe. This, in return, causes forced convection, resulting in heat transfer 15 . However, there are several disadvantages accompanied with concentric tube heat exchangers. For instance, a concentric tube heat exchanger can lose heat due to its large outer shells. As a result, various researchers attempted to enhance the heat transfer properties of a concentric heat exchanger via different methods such as induced surface vibrations, and air bubbles injection 16 , 17 . The most predominant method is by using nanofluids 18 .

Several researchers reported that the using nanofluids in concentric tube heat exchangers can enhance thermal conductivity, Nusselt number, and convective heat transfer properties of the nanofluid 19 , 20 , 21 . For instance, Akyürek et al. 22 investigated the heat transfer and pressure drop characteristics of Al 2 O 3 -Water nanofluids in a concentric tube heat exchanger with and without wire coil turbulators. The investigation showed that Nusselt number increased with an increase in the particle concentration and Reynolds number, leading to an enhancement in the heat transfer coefficient. The authors used Gnielinski’s equations for computing the Nu and friction factor to validate their experimental results. Equations ( 8 ) and ( 9 ) demonstrate Gnielinski’s equations for the Nusselt number and friction factor, respectively 23 . The reported Nusselt number associated with the 1.6% Al 2 O 3 -Water nanofluid at a Re number of 20,000 is between 350 and 400. However, based on the correlations presented in Eqs. ( 10 ) and ( 11 ), the calculated Nusselt number is approximately 170.93. This Nusselt number is computed based on friction factor of 0.0261, Re number of 20,000, volume fraction of 1.6%, and Pr of 10.07669. The Pr number is acquired based on Eq. ( 12 ). The significant difference between these Nusselt numbers suggests that the enhancement of the Nusselt number is far less than it is mentioned.

where Cp nf is the specific heat of the nanofluid, M nf is the viscosity of the nanofluid, and K nf is the thermal conductivity of the nanofluid.

In the same way, Sonawane et al. 18 investigated the heat transfer properties of Al 2 O 3 -Water nanofluids in a copper concentric tube heat exchanger. The authors compared the heat transfer of the nanofluid to the base fluid (water). The study showed that the nanofluids exhibited higher heat transfer rates as the concentration of the nanofluid increased. Nonetheless, the authors claimed that the Nusselt number of the nanofluid at 3% concentration is between 15 and 16; whereas, after calculating the Nusselt number by the correlation demonstrated in Eq. ( 6 ), the Nusselt number is around 26.16. The Nusselt number was computed after setting the Re number to 4000 and Pr value found to be around 4.061 and the friction factor is approximately 0.0414. Similarly, Khalifa and Banwan 24 studied the increase in the heat transfer rate after adding y -Al 2 O 3 nanoparticles to water in a concentric tube heat exchanger. The authors reported that the enhancement in the convective heat transfer increased as the nanoparticle volume fraction and flow rate increased. Furthermore, the authors attained a maximum enhancement of 20% in the Nusselt number and 22.8% in the heat transfer coefficient at 1% volume fraction and 6026 Re number. In order to validate the accuracy of the Nusselt number and heat transfer coefficient, the authors compared these values to the values estimated based on empirical correlations. The Dittus-Boelter correlation, as shown in Eq. ( 6 ), was employed to estimate the Nusselt number. The values from the experimental setup and from the Dittus-Boelter correlation were highly correlated. However, the Dittus-Boelter correlation is only used under the condition that the Re number is higher than 10,000. Nonetheless, the highest Re number in this study is 6026, indicating that this correlation might compute inaccurate results. Through this correlation, the Nusselt number at 1% volume fraction and at 6026 Re number is between 55 and 65. Nevertheless, the correlation presented in Eq. ( 10 ) showed a different Nusselt number from the one computed by the Dittus-Boelter correlation. The correlation showed that the Nusselt number is around 41.261, the friction factor is 0.0364, and the Pr number is 4.4071. The computed Nusselt number is much lower than that reported by the authors, suggesting a lower enhancement in the heat transfer coefficient.

Shell and tube heat exchangers

Due to its small size and high heat transfer rate, the shell and tube design is the most commonly employed design in heat exchangers. In general, to increase the heat transfer rate through heat exchangers, fluids with high heat transfer coefficients are used 25 . In this section, the heat transfer coefficient of shell and tube heat exchangers applying different nanofluids are investigated and compared with other correlations from literature. Said et al. 26 , examined the heat transfer characteristics of a CuO/water nanofluid mixture. The nanoparticle concentrations employed were 0.05, 0.1, and 0.3 vol%. Twenty eight carbon steel tubes and one carbon steel shell were used for the experimental setup. CuO/water was circulated within the heat exchanger's tube section. In addition to the experimental investigation, a theoretical model was created to verify the outcomes. The findings demonstrated that for the same fluid inlet temperatures and mass flow rates, the convective heat transfer coefficient obtained when using the proposed nanofluid is more than when using the basefluid. The heat transfer enhancement achieved was 7%. The input and output data were obtained and then validated as shown in Table 4 using the implemented correlation. Nusselt number was calculated using the correlation in Eq. ( 13 ) for concentrations up to 2 vol% and for turbulent flow:

where dp is the nanoparticle diameter (50 nm).

The heat transfer coefficient is then calculated based on the Nusselt number from Eq. ( 13 ):

The results were validated after getting close values of Nu and h to the values reported in the paper which are 18.9 and 2255.39 (W/m 2  K) respectively. Hence, proving the enhancement in the heat transfer coefficient compared to water with h value equal to 1998.47 W/m 2 K.

Similarly, Ghozatloo et al. 27 investigated the heat transfer coefficients of water-based graphene nanofluids in the point of entry as well as in laminar conditions using a shell and tube heat exchanger. A flowrate of 0.8 L/min was used for establishing the laminar flow. Based on their findings, introducing 0.075% graphene to the base fluid improved the thermal conductivity up to 31.83% at saturation concentrations of graphene and improved the heat transfer coefficient depending on the conditions of flow. At 38 °C, the convective heat transfer coefficient of graphene nanofluids increased by 35.6% in comparison with purified water using an amount of 0.1 wt%. In the conducted analysis, the local heat transfer coefficient was determined based on the fluid temperature in  x i  section ( T fi ) and test part inner wall temperature ( T wi ). Then, h was calculated from:

where q″ is the constant heat flux of 5429 W/m 2 . Then, the average heat transfer coefficient was calculated by taking the arithmetic mean of the obtained local heat transfer coefficients.

In our analysis, Shah’s correlation for laminar flow was used to validate the Nusselt number as shown in Eq. ( 15 ) 28 . It is also important to note that the analysis was conducted for the different volume concentration of graphene used.

where L is the length of the horizontal circular copper tube used.

Then, the heat transfer coefficient is calculated based on the Nusselt number from Eq. ( 13 ). In Table 5 , the average heat transfer coefficients, which depend on the average temperature, are shown which indicate notable variations. In the conducted analysis, by increasing the temperature and concentration of graphene nanoparticles, the average heat transfer coefficient increases. However, in the results obtained in Table 6 after calculation based on the correlations, a different trend is found where the heat transfer coefficient was increasing to the threshold of 0.048vol% in KRG-4 sample where it decreased. Table 6 shows the calculated heat transfer coefficient using water and nanofluids.

Farajollahi et al. 29 examined the heat transfer properties of γ-Al 2 O 3 /water and TiO 2 /water nanofluids in a shell and tube heat exchanger with turbulent flow conditions. The effects of Peclet number, volume concentration of suspended nanoparticles, and particle type on heat transfer were studied. Data related to the velocity and flow rates were missing, hence, the velocity was calculated based on the Peclet number as shown in Eq. ( 16 ) in order to obtain other parameters from Eqs. ( 3 ) and ( 13 ).

Furthermore, the viscosity of the nanofluid was calculated using Eq. ( 17 ):

where ϕ is the volume concentration of the nanoparticles.

The calculations were implemented using the different volume percentages of TiO 2 and using the obtained Peclet number. In their work, the correlation in Eq. ( 13 ) was used to calculate the Nu before determining the heat transfer coefficient. A significant difference is found between both results, using 0.15%, 0.3%, 0.5% and 0.75% of TiO 2, as shown in Fig.  4 .

figure 4

Comparison between present work calculations of the heat transfer coefficient and Farajollahi et al. 29 .

Anitha et al. 30 reported the testing of three types of nanofluids, namely Al 2 O 3 -Cu-Water, Cu-Water, and Al 2 O 3 -Water for different volume concentrations of 1%, 2%, 4%, 8%, 10%, and 20%. According to the authors, the Reynold’s number that was used for the analysis was equal to 844.4, which falls into the laminar flow region.

For a circular tube, which is the case for the tube in a shell-and-tube heat exchanger, that harbors a laminar flow, the Nusselt number is independent of the Reynold’s and Prandtl numbers for a constant heat flux, bearing a constant value of 4.36 as shown in Eq. ( 5 ) 31 .

In their work, the authors calculated the heat transfer coefficient using Eq. ( 14 ):

With a diameter of 0.033 m, the only thing left that can have a significant impact on the heat transfer coefficient is the value of the thermal conductivity of each corresponding nanofluid, which does not change much with changing the concentration. The value of the heat transfer coefficient in the present work is calculated using the following equation:

However, there is barely any significant variation of the thermal conductivity values, that according to Eq. ( 18 ) ultimately dictate any changes in the values of the heat transfer coefficient. Which is why in this present work, the values of the heat transfer coefficient were recalculated using the aforementioned Nusselt correlation in Eq. ( 18 ).

The values presented by Anitha et al. are at least 10 times more than the values obtained through the suitable Nusselt correlation for laminar flow in circular tube with a constant heat flux. Figure  5 is a visual representation of that undeniable difference. The values calculated in the present work indicate that there is no enhancement in the heat transfer coefficient associated with the addition of nanoparticles, no matter the vol%, contrary to those shown by Anitha et al.

figure 5

Comparison between heat transfer coefficient values recalculated in the present work and those found in Anitha et al. 30 .

In a similar work conducted by Kuman and Sonawane 32 , they tested the effect of enhancing the heat transfer coefficient by adding Fe 2 O 3 nanoparticles to water and ethylene glycol (EG), in the tube of a shell-and-tube heat exchanger. Throughout the conducted tests, they maintained the hot stream and two constant temperatures 50  \(^\circ\) C and 80  \(^\circ\) C, while ranging the vol% of the nanoparticles from 0.01 to 0.08. The reported thermal conductivity values ranged from 0.614 to 0.651 W/mK and 0.252 to 0.296 W/mK with changing the vol% from 0.01 to 0.08 for Fe 2 O 3 -water and EG, respectively. For a constant hot stream temperature operation, the Nusselt number is constant in the laminar flow region, similar to the case mentioned earlier, however having a different value as shown in Eq. ( 4 )

With a tube diameter of 0.0107 m, the heat transfer coefficient is only a function of the thermal conductivity and is obtained through the following equation.

However, the authors used Eq. ( 14 ) to obtain h, and then used those values of h to obtain values for Nu.

The base comparison between the present work and that conducted by Kumar and Sonawane will be confined to the laminar region of their reported work, which is presented in Fig.  6 . Moreover, throughout their tests, they did not exceed a Re of 10,000, all while using correlations for Nu comparison that are only valid at Re > 10,000, such as the Dittus-Boelter and the Gnielinksi correlation, which is invalid.

figure 6

Comparison between heat transfer coefficient values recalculated in the present work and those found in Kumar and Sonawane 32 .

Challenges and limitations of nanofluids

Microstructure-imposed challenges.

There are various challenges that are imposed solely by the microstructure of nanoparticles which are revealed by an analysis of the existing scientific literature 33 . A common issue is regarding the uniform dispersion of nanoparticles within the base fluid. The use of Scanning Electron Microscopy (SEM) by researchers often reveals clumped regions of nanoparticles which raises concerns about the reliability and effectiveness of such mixtures and enhancements.

Figure  7 presents the current causes and challenges imposed by the microstructure of nanofluids.

figure 7

Summary of microstructure issues in nanofluids.

Uniform dispersion of nanoparticles in a base fluid is a core condition for ensuring optimal heat transfer performance of nanofluids. Despite extensive efforts by researchers in the surveyed literature, achieving a homogeneous dispersion remains a significant challenge. This is traced back to various factors that collectively contribute to this phenomenon, including high surface energy of nanoparticles that lead to a natural tendency to form clusters and agglomerate. Strong forces such as Van Der Waals attractions, can, and in most cases do, overcome the repulsive forces between nanoparticles 34 . The formation of agglomerates can be seen in following works 35 , 36 , 37 , 38 , 39 . Because it is more economical and straightforward, producing nanofluid by dispersing nanoparticles in base fluid using the two-step method has become prevalent on a large scale, which ultimately affects the commercialization of nanofluids. The main disadvantage of this approach is agglomeration caused by Van Der Waals forces and the cohesive strength of the individual nanoparticles 40 . This continues to be a concern in the production and use of nanofluids because this behavior has an effect on the entire fluid stability. Fluid flow properties in porous media, such as viscosity, in addition to cooling applications, can be restricted by such agglomeration 41 . Sedimentation, abrasion and reduced nanofluid enhancement effects are the negative impacts that may occur as a result of agglomeration 42 .

Moreover, the interaction between the nanoparticles and the base fluid extremely influences the dispersion behavior. The addition of surface modifiers and surfactants is often done to improve the compatibility between the base fluid and nanoparticles 43 . However, despite these efforts, nanoparticles may still experience poor dispersion due to confined interactions with the base fluid, as can be seen in most published literature. Properties, such as the base fluid viscosity and surface tension, play a crucial role in governing these interactions and consequently the nanoparticles dispersion 44 and are claimed to have an effect on heat transfer. More importantly, the non-uniform dispersion of nanoparticles in base fluids poses significant challenges when attempting to elevate these nanofluids from waivered laboratory findings to real-world applications.

Commercialization and scaling-up challenges

There are two main challenges that hinder the commercialization and utilization of nanofluids in large-scale heat exchangers. First, potential adverse physical effects of the solid matter on the internal workings of candidate systems. Nanoparticles used in experiments in available literature are strikingly similar to materials that cause internal fouling of heat exchanger pipes. Given the uncertainty in calculating heat transfer enhancements achieved exclusively because of the addition of nanoparticles, as well as the significantly higher heat transfer enhancement that result from increasing the working fluid flow rate (at constant heat input), there is a lack of commercially available products on the market that utilize nanofluids. There have been 24 patents involving devices and technologies that employ nanofluids since 2001 45 from solar collectors to microchip cooling applications, which impose application-specific challenges, but so far there exists no market penetration for nanofluid based devices.

The second reason for product availability is the price of nanoparticles. The most effective nanoparticles reported in literature are either gold, diamond, or silver, which are estimated to cost around 80$/g, 35$/g, and 6$/g, respectively. The volume fraction of these particles and their non-recyclability preclude any enthusiasm in employing them on a wide scale. The high prices of nanofluids are due to numerous factors, involving material costs, preparation costs (which include reagent, surfactant, ultrasound bath, and stirrers), and labor costs. Also, the documented techniques for synthesis are frequently modified and differ from one application to another. As a result, there is inadequate knowledge and data to properly determine the price of nanofluids, which adds another obstacle 46 . Moreover, the stability of nanoparticles in nanofluids is a gray area in that specific field of research. Researchers apply what is known as the Zeta potential test in order to test for the stable dispersion of nanoparticles and their resistance to precipitation. However, practical long-term stability of nanofluids has yet to be tested. Additionally, long term effects of nanofluids, whether on human health or environmental toxicity, are still vague. Despite the proclaimed advancements in nanofluids research there have yet to be comprehensive studies regarding the long-term exposure and interactions of nanofluids within targeted systems. Furthermore, nanofluids should be assessed for their capability to retain their required characteristics over operating conditions (e.g., thermal conductivity following heating and cooling cycles). The development of nanofluids based on water with the required improved thermal and mechanical properties is still a challenge 42 . Due to that, there has yet to be a breakthrough in mainstream markets where most consumers reside. Solid work has to be laid out which harbors stability and efficiency, to convince industries and end consumers to adopt nanofluids as a replacement for well-established heat transfer fluid alternatives. A summary of the steps and measures required, as well as the challenges to be addressed for nanofluids' commercialization is shown in Fig.  8 .

figure 8

Steps and measures for nanofluids commercialization.

This study presented an overview of the seemingly hot topic of nanofluid utilization for heat transfer enhancement. In particular, issues pertinent to a consensus-by-volition in calculating heat transfer coefficients, h, in nanofluids research. Many studies rely on simplistic equations, such as q/ \(\Delta\) T, which overshadows the undeniable complexity of convective heat transfer phenomena. Even in studies that utilize empirical formulae that involve the Nusselt number, Nu, many erroneous validation steps resulted from correlations made at invalid ranges of Reynolds numbers or depending solely on the minute changes in the thermal conductivity of the working fluid due to increased volume fraction (quantity) of nanofluid. Most of papers reporting on the latter have neatly plotted graphs due to said small changes in volume fraction that rarely relied on experimental rigor to determine the constants in the Nusselt equation. Furthermore, in laminar flow regimes, where Nu remains constant, it is essential to recognize that h is primarily a function of the thermal conductivity in that case, rather than Re, which does not significantly change with the addition of nanoparticles.

In its current form, the nanofluids research area requires a standard for independently evaluating the effect of nanoparticles addition to working fluids. The available results in literature indicate that increasing the flow rate within the heat exchanger could enhance the heat transfer at higher order of magnitudes compared to any enhancement gained from nanoparticle addition. And finally, the independence of the results is overshadowed with the specificity of the geographic region and repetition of certain lead figures in the field. A more critical and impartial standards must be set for a field that is growing as fast and vast as nanofluids.

Data availability

The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Alami, A.H., Ramadan, M., Tawalbeh, M. et al. A critical insight on nanofluids for heat transfer enhancement. Sci Rep 13 , 15303 (2023). https://doi.org/10.1038/s41598-023-42489-0

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DOI : https://doi.org/10.1038/s41598-023-42489-0

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A review of nanofluids as coolants for thermal management systems in fuel cell vehicles.

literature review on nanofluids

1. Introduction

1.1. nanofluid overview, 1.2. nanofluid application in different types of vehicles, 1.2.1. nanofluid application in oil-fueled vehicles.

  • Nanofluid application in oil-fueled vehicles’ cooling systems
  • Nanofluid applications in oil-fueled vehicles’ air conditioner systems
  • Nanofluid applications in oil-fueled vehicles’ lubrication systems
  • Nanofluid applications in oil-fueled vehicles’ exhaust power generation systems

1.2.2. Nanofluid Application in Electric Vehicles

1.2.3. nanofluid application in fuel cell vehicles, 2. nanofluid application in thermal management systems of fuel cell vehicles, 2.1. thermal management system structure, 2.2. cooling performance improvement of thermal management system, 2.2.1. heat-production components.

  • Cooling techniques for fuel cells
  • Cooling techniques for batteries
  • Cooling techniques for other components

2.2.2. Heat-Dissipation Components

3. nanofluids as coolants in fuel cell vehicles, 3.1. nanofluid thermophysical properties, 3.2. nanofluid thermal conductivity model, 3.3. single and hybrid nanofluids, 4. the challenges of nanofluid application in fuel cell vehicles, 4.1. nanofluid stability and cleaning.

  • Nanofluid stability
  • Nanofluid cleaning

4.2. Nanofluids in the Cooling Process

4.2.1. nanofluid erosion and abrasion of the microchannel surface, 4.2.2. pump transport power, 4.2.3. nanofluid electrical conductivity, 5. research directions for nanofluids in the future, 5.1. nanofluid stability improvement, 5.2. hybrid nanofluid application, 5.3. reduction in erosion and abrasion by nanofluids, 5.4. thermal conductivity model of nanofluids, 5.5. electrical conductivity of nanofluids, 6. conclusions, author contributions, data availability statement, conflicts of interest, nomenclature.

Al O Aluminum oxide
AgOSilver oxide
ACSAir conditioner System
AgArgentum
AlAluminum
AACAutomotive air conditioning
AVLAutomatic vehicle location
BGButylene glycol
BNBoron nitride
BTMBattery thermal management
CATBCetyltriethylammonium bromide
CuCuprum
CuOCopper oxide
CFDComputational fluid dynamics
CNCCellulose nanocrystal
CNTCarbon nanotubes
COPCoefficient of performance
CQDCarbon quantum dot
CLPHPClosed-loop pulsating heat pipe
DC/DCDirect current to direct current converter
DLVODerjaguin Landau Vewey Overbeek
DTGThermogravimetric analysis
DSCDifferential scanning calorimetry
EGEthylene glycol
Fe O Ferric oxide
Fe O Ferric oxide
GnPGraphene nanoplatelet
HfO Hafnium oxide
JHGOJanus graphene nanofluid
LBLattice Boltzmann
LPMLiter per minute
MDMolecular dynamics
MWCNTMultiwalled carbon nanotube
MgOManganese oxide
NaClSodium chloride
OHTCOverall heat transfer coefficient
PAGPolyalkylene glycol
PVPPolyvinyl pyrrolidone
P-G-OPolyoxyethylated graphene oxide
PEMFCProton-exchange membrane fuel cell
SiCSilicon carbide
SDSSodium dodecyl sulfate
SDBSSodium dodecyl benzene sulfonate
SiO Silicon dioxide
SWCNTSingle-walled carbon nanotube
TiO Titanium oxide
TEGThermoelectric generator
TECThermoelectrical conductivity
TGAThermogravimetric analysis
U.S.United States
WEGWater ethylene glycol
ZnZinc
ZnOZinc oxide
Symbols:
ApConstant
A Heat exchange area inside flat tube
A Heat exchange area outside flat tube
BpConstant
C Nanofluid specific heat
C Base fluid specific heat
C Nanoparticle specific heat
dNanoparticle diameter
h Convective heat transfer coefficient inside flat tube
h Convective heat transfer coefficient outside flat tube
k Nanofluid thermal conductivity
k Base fluid thermal conductivity
k Nanoparticle thermal conductivity
KConvective heat transfer coefficient
k Average thermal conductivity of nanofluid adsorption layer
k (r)Thermal conductivity within the adsorption layer
LNanoparticle length
nShape factor
pConstant
R Fouling resistance inside flat tube
R Fouling resistance outside flat tube
r Nanoparticle size
tAdsorption layer thickness
αConstant
Thickness of flat tube
Flat tube thermal conductivity
Nanofluid density
Base fluid density
Nanoparticle density
Nanofluid volume fraction
Sphericity degree
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Click here to enlarge figure

Nanoparticle TypeBase FluidConcentrationQuantitative AnalysisAuthor/Ref.
GnP, CNCWEG0.2%OHTC increased by 46.72%Yaw [ ]
TiO Water0.1%, 0.2%, 0.3%Effectiveness of car radiator increased by 47% with 0.2% TiO Ahmed [ ]
TiO Water0.025%, 0.05%, 0.1%, 0.2%Heat transfer rate increased by 22.2% with 0.05% TiO Elibol [ ]
Al O , TiO WEG0.3%Thermal performance increased by 24.21% with 0.3% Al O Said [ ]
TiO Water0.1–4%Nunf/Nubf≈1 with low concentrationElibol [ ]
Fly ashWEG0.2–2%Heat transfer rate increased by 7 kWPalaniappan [ ]
Al O Water0.1%, 0.2%, 0.4%Heat transfer coefficient increased by 55% with 0.4% Al O Yasuri [ ]
TiO WEG0.1%, 0.3%, 0.5%Heat transfer rate increased by 37%Arora [ ]
Al O Water0.1%, 0.5%, 1%, 1.5%, 2%Heat transfer performance was the optimum at 1%Ali [ ]
CuOWater0.2–0.5%Pressure drops increased by 20% with 0.5% CuOSokhal [ ]
Al O Water0.5–3%Irreversibility increased by 0.3% at 15 LPMKumar [ ]
Al O EG0.08%, 0.5%, 1%Thermal performance increased up to 5%Goudarzi [ ]
Al O WEG0.3%, 0.6%, 0.9%, 1.2%Heat transfer coefficient increased by 9% with Al O Sheikhzadeh [ ]
TiO , SiO Water1%, 1.5%, 2%Maximum Nusselt number increased by 11% and 22.5%Hussein [ ]
CuOWEG0.05–0.8%Heat transfer coefficient increased by 55%Heris [ ]
MWCNT, SiO WEG0.1%Cooling power increased by 40%Kumar [ ]
CuOWater0–0.4%Overall heat transfer coefficient increased by 8%Naraki [ ]
Al O WEG0.2%, 0.6%, 1%Temperature effect was 41.72%Seraj [ ]
Zn, ZnOWater0.15%, 0.25%, 0.5%Radiator area reduced by 24%Sonage [ ]
CuO, CNTWater1–3%Heat transfer rate and efficiency increased by 19.35% and 7.2%Sahoo [ ]
Al O , CNTWater1–3%Irreversibility and entropy change increased by 42.45% and 27.27%Sahoo [ ]
Al O , CuOWEG1–10%, 1–6%Average heat transfer coefficient increased by 94% and 89%Vajjha [ ]
Graphene oxideWEG0.1%Maximum convective heat transfer increased by 69.7%Shankara [ ]
Al O W/WEG0–1%Highest Nusselt number enhancement up to 40%Peyghambarzadeh [ ]
TiO Water1%, 2%, 3%, 4%Heat transfer efficiency increased by 20%Hussein [ ]
Al O , CuOWater1%, 3%, 5%, 7%Heat transfer coefficient increased by 45% and 38%Elsebay [ ]
GraphiteWEG0.6%, 1%Overall heat transfer coefficient increased by 11.7%Akash [ ]
CuOWEG0–2%Air frontal area was reduced by 18.7%Leong [ ]
Al O WEG0.25%, 0.5%, 1%Heat transfer performance increased by 37.2%Karagoz [ ]
Al O Water0.1–1%Heat transfer rate increased by 45%Peyghambarzadeh [ ]
GrapheneWEG0.1–0.5%Convective heat transfer coefficient increased by 51% Selvam [ ]
Fe O , CuO, Al O , SiO WEG0.1%, 0.3%, 0.7%, 1%Heat transfer efficiency increased by 3.2–45.9%Yıldız [ ]
Al O WEG0–1%Highest thermal conductivity increased by 8.3%Elias [ ]
TiO , SiO Water1–2.5%Effectiveness increased by 24% and 29.5%Hussein [ ]
Fe O -CQD, CuO-CQDWater0.5%Effectiveness increased by 12% and 25%Mousavi [ ]
SiO Water0.04%, 0.08%, 0.12%Heat transfer rate max. increased by 36.92%Shah [ ]
CuO, Fe O Water0.15%, 0.4%, 0.65%Overall heat transfer coefficient max. increased by 9%Peyghambarzadeh [ ]
Fe O Water0–0.9%Radiator heat transfer performance increased by 21%Tafakhori [ ]
Al O WMEG0.2–0.8%Heat transfer rate increased by 30%Subhedar [ ]
MWCNTWEG0.025%, 0.05%, 0.1%Heat transfer rate and OHTC increased by 4.6% and 4.4%Contreras [ ]
CuO, TiO , Al O Water-K was 0.72 with 5% CuO nanofluidKhan [ ]
Al O WEG0–1%Nu was 237% higher than WEGDelavari [ ]
Al O (Ag, Cu, SiC, CuO)WEG0–1%Cooling flow rate reduced by 3.1%Sahoo [ ]
SiCWEG0.5%Thermal conductivity max. increased by 53.81%Li [ ]
MWCNTsSG0.2%, 0.4%, 0.6%Nusselt number max. increased by 18.39%Sivalingam [ ]
MWCNTsWEG0.1%, 0.25%, 0.5%Average heat transfer coefficient max. increased by 196.3%Mhamed [ ]
ZnOWEG0.01–0.04%Heat transfer rate max. increased by 36%Khan [ ]
Cooling MethodOutput Power
Cathode air cooling<100 W
Separate airflow cooling200–2000 W
Phase change1000 W
Liquid cooling>10 kW
ComponentHeat-Dissipation MethodImprovement Method
Fuel cellLiquid coolingStructure
Control strategy
Coolant
Power batteryAir/liquid/phase change/heat pipe coolingStructure
Coolant
Motor and controllerNatural/air/liquid/oil coolingStructure
Coolant
Air compressorLiquid-cooled/air-cooledStructure
Coolant
DC/DC converterLiquid coolingStructure
Coolant
TypeDensity kg/m Specific Heat J/(kg·K)Thermal Conductivity W/(m·K)
ZnO561054425
Al O 400076536
TiO 42607108.2
BN2270900260
TypeAuthorMethodResult
ZnOIslamExperimentRadiator area reduced by 27%
Al O ZakariaExperimentHeat dissipation increased by 13.87%
TiO IslamExperiment/TheoryThermal conductivity increased by 10%
Al O -SiO JohariExperimentThermal conductivity increased by 21%
Al O -SiO KhalidExperiment10:90 was the most feasible ratio
AuthorNanoparticleBase FluidSurfactantStability
Yu [ ]MWCNTWaterSDS90 days
Islam [ ]SWCNTWaterSDBS90 days
Tang [ ]MWCNTWaterPVP60 days
Li [ ]CuWaterCATB7 days
Hwang [ ]AgOilOleic acid60 days
Wu [ ]SWCNTWaterHumic acid10 days
Choudhury [ ]Al O WaterSDS16 days
Mo [ ]TiO WaterSDS12 days
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Share and Cite

Tao, Q.; Zhong, F.; Deng, Y.; Wang, Y.; Su, C. A Review of Nanofluids as Coolants for Thermal Management Systems in Fuel Cell Vehicles. Nanomaterials 2023 , 13 , 2861. https://doi.org/10.3390/nano13212861

Tao Q, Zhong F, Deng Y, Wang Y, Su C. A Review of Nanofluids as Coolants for Thermal Management Systems in Fuel Cell Vehicles. Nanomaterials . 2023; 13(21):2861. https://doi.org/10.3390/nano13212861

Tao, Qi, Fei Zhong, Yadong Deng, Yiping Wang, and Chuqi Su. 2023. "A Review of Nanofluids as Coolants for Thermal Management Systems in Fuel Cell Vehicles" Nanomaterials 13, no. 21: 2861. https://doi.org/10.3390/nano13212861

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  • Open access
  • Published: 20 May 2015

Performance evaluation of nanofluids in solar energy: a review of the recent literature

  • Navid Bozorgan 1 &
  • Maryam Shafahi 2  

Micro and Nano Systems Letters volume  3 , Article number:  5 ( 2015 ) Cite this article

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Utilizing nanofluid as an absorber fluid is an effective approach to enhance heat transfer in solar devices. The purpose of this review is to summarize the research done on the nanofluids’ applications in solar thermal engineering systems in recent years. This review article provides comprehensive information for the design of a solar thermal system working at the optimum conditions. This paper identifies the opportunities for future research as well.

Introduction

Energy is an important entity for the economic development of any country. On the other hand, fossil fuels meeting a great portion of the energy demand are scarce and their availability is decreasing continously. Nowadays, solar systems play an important role in the production of energy from renewable sources by converting solar radiation into useful heat or electricity. Considering the environmental protection and great uncertainty over future energy supplies, solar energy is a better alternative energy form in spite of its its slightly higher operation costs. Heat transfer enhancement in solar devices is one of the significant issues in energy saving and compact designs. One of the effictive methods is to replace the working fluid with nanofluids as a novel strategy to improve heat transfer characteristics of the fluid. More recently reserachers have become interested in the use of nanofluids in collectors, water heaters, solar cooling systems, solar cells, solar stills, solar absorption refrigeration systems, and a combination of different solar devices due to higher thermal conductivity of nanofluids and the radiative properties of nanoparticle. How to select suitable nanofluids in solar applications is a key issue. The effectiveness of nanofluids as absorber fluids in a solar device strongly depends on the type of nanoparticles and base fluid, volume fraction of nanoparticles, radiative properties of nanofluids, temperature of the liquid, size and shape of the nanoparticles, pH values, and stability of the nanofluids [ 1 ]. It was found that only a few review papers have discussed the capability of nanofluids to enhance the performance of solar systems [ 2 - 5 ].This paper compiles recent research in this field and identifies many issues that are open or even not commenced to investigate. It is authors’ hope that this review will be useful to determine the effectiveness of nanofluids in solar applications.

Literature review of recent years

Using nanofluids in solar collectors, role of nanoparticles.

Gan et al. [ 6 ] experimently showed that the radiation absorption of Al 2 O 3 nanofluids is less than Aluminuim nanofluids. For nanofluids with Al 2 O 3 particles, the situation is different because of the different optical properties of Al 2 O 3 . The weak radiation absorption of Al 2 O 3 nanoparticles will not result in significant localized convective heat transfer from the particles to the base fluids. The use of Al 2 O 3 /water nanofluid as coolant was simulated for a silicon solar cell using the finite element method by Elmir et al. [ 7 ]. They considered the solar panel as an inclined cavity with a slope of 30°. Application of nanofluids increased the average Nusselt number and rate of cooling. They reported 27% enhancement in the heat transfer rate for 10% alumina nanofluid at Re = 5.

Luo et al. [ 8 ] simulated the performance of a DAC solar collector with nanofluids using a 2D model by solving the radiative transport equations of particulate media and combining conduction and convection heat transfer equations. The nanofluid flows horizontally from right to left in a steady-state solar collector covered with a glass plate. A solar radiation simulator is used to validate their model. They prepared nanofluids by dispersing and oscillating TiO 2 , Al 2 O 3 , Ag, Cu, SiO 2 , graphite nanoparticles, and carbon nanotubes into Texatherm oil. Their results show that the use of nanofluid in solar collector can improve the outlet temperature and efficiency. They also found that the efficiency of most nanofluids are similar and larger than that of oil, except for TiO 2 .

Rahman et al. [ 9 ] performed a numerical study for a triangular shape solar collector with nanofluids by Galerkin weighted residual finite element method for a wide range of Grashof numbers (Gr). The corrugated bottom is kept at a constant high temperature and the side walls of the triangular enclosure are kept at a low temperature as seen in Figure  1 . It is assumed that both fluid phase and nanoparticles are in thermal equilibrium and there is no slip between them. Nanofluid is Newtonian and incompressible, and flow is laminar and unsteady. Constant thermophysical properties are considered for the nanofluid except for the density variation in the buoyancy forces determined by using the Boussinesq approximation. Nevertheless, they have not mentioned the particle’s diameters. The authors concluded that high value of both Gr and solid volume fraction confirms better heat transfer through convection and conduction. Results showed 24.28% improvement for Gr = 10 6 at 10% volume fraction of copper particles. For lower values of Gr number, conduction is the primary mode of heat transfer for any value of solid volume fractions. The results showed that the convective heat transfer performance is better when the solid volume fraction is kept at 0.05 or 0.08. This study also showed that cu-water nanofluid is the best nanofluid for the augmentation of heat transfer.

(a) Schematic of the triangular shape collector (b) 3D view of a solar thermal collector filled with nanofluid [ 9 ].

Faizal et al. [ 10 ] investigated the thermal performance of nanofluid solar collector and its contribution size reduction to estimate the cost saving. Their findings indicated that efficiency of solar collector with nanofluids is calculated by the function of working fluid density, specific heat and mass flow rates. The results confirmed that higher density and lower specific heat of nanofluids offers higher thermal efficiency than water and can reduce the solar collector area about 25.6%, 21.6%, 22.1% and 21.5% for CuO, SiO 2 , TiO 2 and Al 2 O 3 nanofluids as seen in Figure  2 . Hence, it will reduce the weight, energy and cost to manufacture the collector. The average value of 220 MJ embodied energy can be saved for each collector, 2.4 years payback period can be achieved and around 170 kg less CO 2 emissions will be the result of using nanofluid based solar collector compared to a conventional one. Environmental damage cost is also lower with the nanofluid based solar collector.

Percentage of size reduction for solar collector by applying different nanofluids.

Parvin et al. [ 11 ] numerically investigated the effects of the nanoparticle volume fraction (ϕ = 0%, 1%, 3%, 5% and 7%) and the Reynolds number (Re = 200, 400, 600, 800 and 1000) on the temperature distribution, rate of entropy generation, and collector efficiency. The working fluid was incompressible Cu-water nanofluid under a laminar regime. Their findings were as follows: a) Increasing the particles concentration raises the fluid viscosity and decreases the Reynolds number and consequently decreases heat transfer. b) It is important to find the optimum volume fraction of nanoparticle for each application. c) The collector efficiency can be enhanced nearly 2 times by using Ag-water and Cu-water nanofluids with concentration of 3% as seen in Figure  3 d) The entropy generation is enhanced up to ϕ = 3% as seen in Figure  3 . After this level, adding more nanoparticles makes no changes in mean entropy generation.

Collector efficiency (η), mean entropy generation (S) and Bejan number (Be) at various concentrations.

Ladjevardi et al. [ 12 ] numerically studied the effects of using nanofluid on the performance of a solar collector as seen in Figure  4 considering the different diameter and volume fractions of graphite nanoparticles. They observed that in the infrared domain, the water optical characteristics are dominant while in the UV and visible ranges extinction coefficients are dependent on nanoparticle volume fractions. The extinction coefficient is calculated from the absorption and scattering efficiencies in this research. Their numerical results showed that nanofluid collector thermal efficiency increases about 88% compared with the one in pure water collector with the inlet temperature of 313 K. It also can be increased to 227% with the inlet temperature of 333 K.

Schematic of volumetric solar collector.

Filho et al. [ 13 ] studied silver nanoparticles as direct sunlight absorbers for solar thermal applications. Their results showed that the maximum stored thermal energy increases by 52%, 93% and 144% for silver particle concentration of 1.62, 3.25 and 6.5 ppm respectively due to the good photothermal conversion properties of silver nanoparticles. They also observed that the influence of particle concentration on the specific absorption rate (SAR) is only discernable at the initial heating period. It was concluded that reduction in the SAR at higher particle loadings (65 and 650 ppm) might be the result of: (i) The formation of agglomerates and reduction in the intensity of the sunlight into the fluid due to the deposited particles on the surface, (ii) The difference in the absorption efficiency of each particle at different fluid depth, (iii) The heat leak through radiation may become strengthened as the particle concentration exceeds a certain value as seen in Figures  5 , 6 and 7 .

Experimental system: (a) a schematic illustration and (b) a snapshot of the system under direct sunlight on top of a roof.

Comparison of the ratio of stored thermal energy at different concentrations (where b and u refer to thermocouples located at the bottom and upper positions respectively).

Specific absorption rate of silver nanoparticles (where b and u refer to thermocouples located at the bottom and upper positions respectively).

Karami et al. [ 14 ] experimentally showed that aqueous suspension based alkaline functionalized carbon nanotubes (f-CNT), 10 nm in diameter and 5-10 μm in length, has good stability as an absorber fluid in low-temperature Direct Absorption Solar Collector (DASC). The reason is associated with the hydrophilic nature of carboxylate groups. f-CNT considerably reduces the transmittance and enhances the thermal conductivity as seen in Figure  8 . They recommended the use of this kind of nanofluids to absorb the light directly. In this study, f-CNTs was dispersed into the water by an ultrasonic instrument with the volume fractions less than 150 ppm. Higher concentrations produced a black solution which light was not able to pass through it.

Thermal conductivity of f-CNT/water NFs in ambient temperature and 60°C.

Said et al. [ 15 ] found that nanofluids with single wall carbon nanotubes (SWCNTs) in a flat plate solar collector showed the minimum entropy generation compared to the nanofluids prepared by suspending Al 2 O 3 , TiO 2 and SiO 2 nanoparticles in the same base fluid as seen in Figure  9 . They attributed the decrease of the entropy generation to the increase in heat flux on the absorber plate due to the nanoparticles addition. Ultrasonicator and high pressure homogenizer (capacity of up to 2000 bar) is used to disperse the nanoparticles into the water. It was observed the SWCNTs nanofluids could reduce the entropy generation by 4.34% and enhance the heat transfer coefficient by 15.33%. It also had a small penalty in the pumping power by 1.2%.

Change of entropy generation with volume fraction.

Tang et al. [ 16 ] prepared the carbon nanotube/PEG/SiO 2 composites with high thermal conductivity from multiwall carbon nanotubes (MWCNTs), poly (ethylene glycol) (PEG) and inorganic SiO 2 . These composites had higher thermal conductivity than traditional phase-change materials (PCMs) because of the high thermal conductivity of MWCNTs. Their results clearly showed that PEG/ SiO 2 /MWCNT composites can effectively improve the efficiency of solar energy applications.

Saidur et al. [ 17 ] investigated the effects of different parameters on the efficiency of a low-temperature nanofluid-based direct absorption solar collector (DAC) with water and aluminum nanoparticles. One big advantage of using low-temperature systems is that solar collectors can be relatively simple and inexpensive. Additionally, there are a number of working fluids suitable to low-temperature operation. Commonly used base liquids are water, oil, and ethylene glycol. They accounted for the effects of absorption and scattering within the nanofluid to evaluate the intensity distribution within the nanofluid by the radiative transfer equation (RTE). In order to calculate the spectral extinction coefficient of the nanofluid that is sum of scattering coefficient and absorption coefficient, they investigated the optical properties of the based fluid and nanoparticles separately. Their results revealed that Aluminum/water nanofluid with 1% volume fraction improves the solar absorption considerably. They found that the effect of particle size on the optical properties of nanofluid is minimal, but in order to have Rayleigh scattering the size of nanoparticles should be less than 20 nm. They also found that the extinction coefficient is linearly proportionate to volume fraction.

Sokhansefat et al. [ 18 ] numerically investigated the heat transfer enhancement for Al 2 O 3 /synthetic oil nanofluid with concentrations up to 5% in a parabolic trough collector tube at different operational temperatures as seen in Figure  10 . Nanofluid enhanced convective heat transfer coefficient as seen in Figure  11 .

Schematic diagram of the parabolic trough collector and absorber tube.

Mean convective heat transfer coefficient vs.particle concentration at the operational temperatures of 300,400 and 500 K.

Nasrin et al. [ 19 ] performed a numerical study to investigate the influence of Prandtl number on the flow, temperature fields, convective and radiated heat transfer rates, mean bulk temperature of the fluids and average velocity field in a solar with water- Al 2 O 3 nanofluid collector as seen in Figure  12 . The results showed that with increasing Pr from 1.73 to 6.62, the convective heat transfer enhances about 26% and 18% for nanofluid and base fluid respectively whereas the radiation enhances by 8%.

Schematic diagram of the solar collector.

Role of base fluid

Colangelo et al. [ 20 ] experimently showed that the thermal conductivity improvement of the nanofluids with diathermic oil is greater than that with water in high temperature applications such as solar collectores. They observed that the thermal conductivity reduced with increasing the size of nanoparticles.

Hordy et al. [ 21 ] made four different nanofluids by dispersing plasma functionalized multi-walled carbon nanotubes (MWCNTs) in water, ethylene glycol, propylene glycol and Therminol VP-1 heat transfer fluids with the aid of an ultrasonic bath. They examined both the long-term and high-temperature stability of CNT nanofluids for use in direct solar absorption. In this work plasma treatment applied to modify the surface of the MWCNTs to improve their dispersion property within the base fluid. This study reported a quantitative demonstration of the high temperature and long-term stability of ethylene glycol and propylene glycol-based MWCNT nanofluids for solar thermal collectors.

Said et al. [ 22 ] experimentlly investigated the thermal conductivity, viscosity and pressure drop of water, ethylene glycol (EG) and EG + H2O (60:40)-based Al2O3 (13 nm) nanofluids prepared by using ultrasonic dispersion method in the operating temperature range of 25°C to 80°C at low range concentrations of 0.05% to 0.1% for. They observed that deviation of experimental values from estimated values of thermal conductivity of Al 2 O 3 /water nanofluids is considerably high but the experimental values of Al 2 O 3 /EG nanofluids are nearly similar to those of the model calculation as seen in Figure  13 . Their results showd that nanofluids pressure drop at a low concentration flowing in a solar collector is slightly higher than the base fluid.

Thermal conductivity of Al2O3/EG (a) and Al2O3/water (b) nanofluids at different volume fractions and at 25°C.

Liu et al. [ 23 ] experimentally investigated the feasibility of using the graphene (GE)-dispersed nanofluids based on the ionic liquid 1-hexyl-3-methylimidazolium tetrafluoroborate ([HMIM] BF 4 ) in high-temperature heat transfer systems (such as solar collectors). Ionic liquids (ILs) are a group of molten salts with a melting below 100°C as well as a wide liquid temperature range from room temperature to a maximum temperature of 459°C. ILs have excellent thermophysical properties such as good thermal and chemical stability, high density and heat capacity and negligible vapor pressure. In this work, authors showed how to improve the performance of ILs for solar thermal systems. They observed 15.2%-22.9% enhancement in thermal conductivity using 0.06% graphene in the temperature range from 25 to 200°C as seen in Figure  14 . Their results showed that GE is a better nanoadditive for nanofluids than other carbon materials and metal nanoparticles.

Thermal conductivity of [HMIM]BF4 and the GE-dispersed Ionanofluids as a function of temperature.

Variation of specific heat capacity with temperature for the pure and the different nanoparticle concentration of Hitec nanofluid.

The authors attributed this reduction to the self-lubrication characteristic of GE. In addition, the results obtained from the thermogravimetric analysis showed the high thermal stability of GE/BF 4 nanofluids. Their measurements showed that this novel class of nanofluids is very suitable for high temperature applications such as solar collectors.

Ho et al. [ 24 ] found the optimal concentration of alumina nanoparticles in doped molten Hitec (a nitrate salt) by maximizing its specific heat capacity. High-temperature molten salt typically has a high heat capacity and is effective as a working fluid for concentrating solar power (CSP) systems. Their findings are as follows: 1- The addition of less than 2% Al 2 O 3 nanoparticles significantly increases the specific heat of Hitec metal at low temperatures as seen in Figure  15 , 2- For the volume fractions less than or equal to 0.5%, adding Al 2 O 3 nanoparticles has a negative effect on the specific heat in temperature of 335°C, 3- At all temperatures, a concentration of 0.063 wt.% provides the maximum enhancement of specific heat about 19.9%, 4- The scanning electron microscopic (SEM) images show that, even at a relatively low concentration, nanoparticles aggregate as clusters with the size of 0.2 to 0.6 μm in the grain boundaries of Hitec, 5- The findings of this study suggest that the concentration that yields favorable uniform dispersion and optimal pattern of particles or clusters may maximize the specific heat. The simplified model of the solid-fluid interfacial area demonstrates that interfacial area is maximal at a concentration of 0.023 wt.%. As the nanoparticle concentration increases above 0.023 wt. %, the formed clusters become larger and the interfacial area density between the solid clusters and the base fluid decreases which may reduce the increase in specific heat capacity. According to the results obtained from this study, the maximum enhancement of the specific heat capacity occurs at concentration of 0.063 wt.% instead of 0.023 wt.%. Indeed, some agglomeration of nanoparticles forming submicrometer clusters may be the best for the enhancement of specific heat capacity. However, the total interfacial area at concentration of 0.063 wt. % was slightly less than its value at concentration of 0.023 wt. %.

Role of surfactants

Singh et al. [ 25 ] added Cu to commercial solar heat transfer fluids (Therminol 59 (TH59) and Therminol 66 (TH66)) by the combination of temperature and ultrasonic ripening processes. They stated that surfactant selection has an important role in preparing stable nanofluids. Choosing the right surfactant is mainly dependent on the properties of the base fluids and particles. For example, silicon oxide nanoparticles were successfully dispersed in TH66 using benzalkonium chloride (BAC, Acros Organics) as a surfactant but the use of BAC surfactant with Cu nanoparticles did not provide sufficient stability of suspension due to the lack of specific interaction between the nanoparticles and the surfactant molecules. The bi-layer arrangement of surfactant molecules should provide good adhesion to the nanoparticle surface and miscibility with the aromatic solvent. In this work, authors used a combination of oleic acid and BAC and a mixture of octadecyl thiol (ODT) and BAC surfactants to disperse Cu nanoparticles in TH66 and TH59, respectively. They observed that 3D Cu nanoparticle agglomerates do not break by conventional sonication with ultrasound gun without temperature ripening. They showed that a sonication time of about 4 h leads to the effective breakup of Cu agglomerates into individual grains at a 120°C. They also concluded that Cu/TH66 nanofluids appear to be more stable than the Cu/TH59 nanofluids because of the higher dynamic viscosity.

Yousefi et al. [ 26 , 27 ] studied the effect of Al 2 O 3 (15 nm) and MWCNT (10-30 nm) water nanofluid on the efficiency of a flat plate solar collector experimentally. The weight fractions of the nanoparticles were 0.2% and 0.4%, and the experiments were performed with and without Triton X-100 as surfactant. Their findings showed that the surfactant presence in the nanofluid extremely affects solar collector’s efficiency.

Lenert et al. [ 28 ] presented a combined modeling and experimental study to optimize the performance of a cylindrical nano-fluid volumetric receiver. They concluded that the efficiency is more than 35% when nanofluid volumetric receivers are coupled to a power cycle and optimized with respect to the optical thickness and solar exposure time. This study provides an important perspective in the use of nanofluids as volumetric receivers in concentrated solar applications. In this work, 28 nm carbon-coated cobalt (C-Co) nanoparticles dispersed and suspended in Therminol VP-1 after 30 min in a sonication bath without any surfactant.

Role of the pH

Yousefi et al. [ 29 ] investigated the effect of pH of MWCNT-H2O nanofluid on the efficiency of a flat-plate solar collector as seen in Figure  16 . The experiments were carried out using 0.2 wt% MWCNT (10-30 nm) with various pH values (3.5, 6.5 and 9.5) and with Triton X-100 as an additive. They found that increasing or decreasing the pH with respect to the pH of the isoelectric point (IEP) would enhance the positive effect of nanofluids on the efficiency of the solar collector. The collector efficiency enhanced while the differences between the pH of nanofluids and that of isoelectric increased. As the nanofluids become more acidic (lower pH value), more charges are accumulated on the particle surface, leading to lower agglomeration of nanoparticles in the suspension. Consequently, the effective thermal conductivity of the nanofluid increases. In addition, with the increase in pH of the nanofluid, the surface charge of the CNT increases leading to the increase in thermal conductivity and stability of nanofluid.

The efficiency of the flat-plate solar collector with MWCNT nanofluid as base fluid at three pH values as compared with water in0.0333 kg/s mass flow rate.

Using nanofluids in photovoltaic/thermal (PV/T) system

Sardarabadi et al. [ 30 ] performed experiments to study the effects of using SiO2/water nanofluid as a coolant on the thermal and electrical efficiencies of a photovoltaic thermal (PV/T) system. A flat plate solar collector was attached to a PV panel. The tilt angle of the collector was set at a constant value of 32° to maximize the solar collecting area. It was observed that by adding a thermal collector to a PV system, the total exergy for the three cases with pure water, 1% silica/water nanofluid and 3% silica/water nanofluid increased by 19.36%, 22.61% and 24.31%, respectively as seen in Figure  17 . Thermal efficiency of the PV/T collector for the two cases of 1 and 3 wt% of silica/water nanofluid increased 7.6% and 12.8%, respectively.

Exergetic efficiency of the system for the three cases with pure water (a), 1% silica/water nanofluid (b) and 3% silica/water nanofluid (c) during the daily experiment.

Karami et al. [ 31 ] experimentlly investigated the cooling performance of water based Boehmite (AlOOH. xH 2 O) nanofluid in a hybrid photovoltaic (PV) cell. The PV cell is mono-crystalline silicon. Results showed that the nanofluid performed better than water and the average PV surface temperature decreased from 62.29°C to 32.5°C as seen in Figure  18 . They reported that the electrical efficiency falls as the concentration of the nanofluid rises beyond a certain level. The authors attributed this reduction to the high surface activity of nanoparticles and their tendency to agglomeration/clustering at high particle loadings. Table 1 summarizes the results of nanofluids influence on different solar thermal applications

Variation of the average temperatures of the PV surface at various flow rates for water and three different concentrations of nanofluid.

Using nanofluids in solar stills

Kabeel et al. [ 32 ] investigated a small unit for water desalination coupled with nano-fluid-based (Cu/water) solar collector as a heat source as seen in Figure  19 . The system consists of a solar water heater (flat plate solar collector), a mixing tank and a flashing chamber plus a helical heat exchanger and a condenser. The desalination process is based on the evaporation of sea water under a very low pressure (vacuum). The evaporated water is then condensed to obtain fresh water. The simulation results showed that the nanoparticle concentration is an important factor on increasing the fresh water production and decreasing cost. Authors reported that the water cost can be decreased from 16.43 to 11.68 $/m 3 at ϕ = 5% as seen in Figure  20 .

Schematic diagram of single stage flash (SSF) system.

Variations in system productivity and water cost as a function of nano-particle volume fraction.

Kabeel et al. [ 33 ] used Al 2 O 3 nanoparticles with water inside a single basin solar still. Their results showed that using nanofluids improves the solar still water productivity by about 116% and 76% with and without operating the vacuum fan. The authors attributed this increment to the increase of evaporation rate inside the still. Utilizing nanofluid increases the rate of evaporation. In addition, due to this vacuum inside the still the evaporation rate increases further and the productivity increases compared with the still working at atmospheric conditions.

Using nanofluids in solar pond

Al-Nimr et al. [ 34 ] presented a mathematical model to describe the effects of using silver-water nanofluid on the thermal performance of a shallow solar pond (SSP) and showed that the energy stored in the nanofluid pond is about 216% more than the energy stored in the brine pond. The upper layer of the pond is made of mineral oil and the lower layer is made of silver (Ag) water-based nanofluid. Their results showed that for solar radiation of 1000 W/m 2 , the nanofluid pond required a depth less than 25 cm in order to absorb the light, while the brine pond depth must be more than 25 m to absorb the same amount of light. They attributed the increase of stored energy to the increase in thermal conductivity of the base fluid due to the nanoparticles addition that leads to uniform temperature distribution within the layer with reduction in heat losses.

Using nanofluids in the solar collector integrated with open thermosyphon

Liu et al. [ 35 ] experimentally showed that the solar collector integrated with open thermosyphon has a much better collecting performance compared to the collector with concentric tube and its efficiency could be improved by using CuO/water nanofluid as the working fluid as well. Their results showed that the maximum and mean values of the collecting efficiency of the collector with open thermosyphon using nanofluids increased 6.6% and 12.4%, respectively.

Conclusions

Nanofluids have been utilized to improve the efficiency of several solar thermal applications. Theoretical and experimental studies on solar systems proved that the system performance enhances noticeably by using nanofluids. A number of investigations presented the existence of an optimum concentration for nanoparticles in the base fluid. Adding nanoparticles beyond the optimum level no longer enhances the efficiency of the solar system.

Optimal conditions are a function of nanoparticles size and concentration, base fluid, surfactant and pH as discussed throughout this article. Nanofluid utilization in the solar thermal systems is accompanied by important challenges including high cost of production, instability, agglomeration and erosion. This review article is an attempt to elucidate the advantages and disadvantages of nanofluids application in the solar system.

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Acknowledgements

The authors would like to express their appreciation to the Islamic Azad University of Abadan Branch for providing financial support.

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Bozorgan, N., Shafahi, M. Performance evaluation of nanofluids in solar energy: a review of the recent literature. Micro and Nano Syst Lett 3 , 5 (2015). https://doi.org/10.1186/s40486-015-0014-2

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DOI : https://doi.org/10.1186/s40486-015-0014-2

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literature review on nanofluids

Application of nanofluids as cutting fluids in machining operations: a brief review

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literature review on nanofluids

  • Lotfi Ben Said 1 , 2 ,
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The evolution of materials of cutting tools and their geometry, is currently leading to a technological development of many other sectors linked to machining. It is, therefore, a progress in the construction of machine tools, the machining of new materials, improvement of cutting fluids (lower toxicity and costs related to the maintenance and treatment of used cutting fluids, chemical formulation). Regarding the cutting fluids, international regulations are moving towards eco-elimination or limiting the use of certain molecules for ecological reasons. In addition, the formulation must be adapted as best as possible to the industrial demand, both in terms of performance and costs. The characteristics of nanofluids meet all these requirements and seem to be a promising solution for major problems encountered when using conventional cutting fluids. The present paper reports a literature review emphasizing essentially the investigations performed during the last 2 years. This literature focuses on the use of nano-lubricant in machining processes such as turning, milling and grinding processes. Analyzing the current review, it has been found that the use of nanofluids especially hybrid ones reduces the tool wear, the surface roughness, cutting forces, and heat generation. However, the optimal choice of nanoparticles and their concentrations that suites more the most severe cutting conditions, needs more attention in future works.

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This research was funded by the Deanship of Scientific Research at Princess Nourah bint Abdulrahman University through the Fast-track Research Funding Program.

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Ben Said, L., Kolsi, L., Ghachem, K. et al. Application of nanofluids as cutting fluids in machining operations: a brief review. Appl Nanosci 13 , 4247–4278 (2023). https://doi.org/10.1007/s13204-021-02140-8

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  18. PDF A REVIEW ON NANOFLUIDS

    overview of the literature dealing with recent developments in the study of heat transfer using nanofluids. First, the preparation of nanofluids is ... A Review on Nanofluids - Part I Theoretical and Numerical Investigations 615 Brazilian Journal of Chemical Engineering Vol. 25, No. 04, pp. 613 - 630, October - December, 2008 ...

  19. Performance evaluation of nanofluids in solar energy: a review of the

    Utilizing nanofluid as an absorber fluid is an effective approach to enhance heat transfer in solar devices. The purpose of this review is to summarize the research done on the nanofluids' applications in solar thermal engineering systems in recent years. This review article provides comprehensive information for the design of a solar thermal system working at the optimum conditions.

  20. Nanofluid research and applications: A review

    This comprehensive review focuses on tri-hybrid nanofluids, covering their nanoparticles and base fluids, preparation processes, stability, microscopic evaluation, thermo-hydraulic properties, and applications. After a thorough analysis of the literature, this review reveals that tri-hybrid nanofluids exhibit superior performance in terms of ...

  21. An updated review of nanofluids in various heat transfer devices

    The reviews include solar collector applications [20, 21], a review of nanofluids in heat exchangers [22, 23], review of nanofluids in heat pipes , radiator cooling , electronic cooling and ... They concluded that from 107 works of literature surveyed, a 15-40% enhancement was recorded with the oxides nanoparticles available back then. Today ...

  22. A review on hybrid nanofluids: Recent research, development and

    1. Introduction. Nanofluids, which was coined by Choi [1], are engineered colloids made up of a base fluid and the nanoparticles.Nanoparticles have thermal conductivities, typically an order-of-magnitude higher than those of the base fluids and with sizes significantly smaller than 100 nm.The introduction of nanoparticles enhances the heat transfer performance of the base fluids significantly.

  23. Application of nanofluids as cutting fluids in machining operations: a

    This literature focuses on the use of nano-lubricant in machining processes such as turning, milling and grinding processes. Analyzing the current review, it has been found that the use of nanofluids especially hybrid ones reduces the tool wear, the surface roughness, cutting forces, and heat generation.