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HomeMaterials Science ForumMaterials Science Forum Vol. 757Thermal Conductivity of Nanofluids

Thermal Conductivity of Nanofluids

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Abstract:

Enhanced thermal conductivity of nanofluids compared to that of the base fluid has received attention of many researchers in the last one decade. Experimental data on thermal conductivity of nanofluids using varied nanoparticles in the size range 10-100 nm have been reported. However, there is lot of variance in the data and needs critical analysis. Many models have been proposed by various research groups for predicting the thermal conductivity of nanofluids. Due to complexity of various parameters involved (size, % volume fraction, specific surface area and the type of nano particles, pH of nano fluid, thermal conductivity and viscosity of base fluid) no single model can be used for predicting the thermal conductivity of nanofluids. Inconsistent and conflicting results are reported on the enhanced thermal conductivity of nanofluids. Further, insufficient understanding and inconclusive mechanism behind enhanced thermal conductivity requires further attempt to work in this field. This article critically reviews the available literature on thermal conductivity of nanofluids.

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Periodical:

Materials Science Forum (Volume 757)

Pages:

111-137

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.757.111

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Online since:

May 2013

Authors:

Amit Sobti, R.K. Wanchoo

Keywords:

Nanofluid, Thermal Conductivity (TC)

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[1] S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, in: D.A. Siginer, H.P. Wang (Eds.), Developments and applications of non-Newtonian flows, ASME Publ., New York, 1995, pp.99-105.

[2] S.K. Das, S.U.S. Choi, W. Yu, T. Pradeep, Nanofluids: Science and Technology, John Wiley & Sons, Inc., New Jersey, 2008.

[3] K.V. Wong, O.D. Leon, Applications of nanofluids: current and future, Advances in Mechanical Engineering, doi:10.1155/2010/519659 (2010) 1-11.

DOI: 10.1155/2010/519659

[4] W. Yu, H. Xie, A review on nanofluids: preparation, stability mechanisms, and applications, Journal of Nanomaterials, doi:10.1155/2012/435873 (2012) 1-17.

[5] R. Saidur, K.Y. Leong, H.A. Mohammad, A review on applications and challenges of nanofluids, Renewable and Sustainable Energy Reviews 15 (2011) 1646-1668.

DOI: 10.1016/j.rser.2010.11.035

[6] I. Manna, Synthesis, characterization and application of nanofluid-an overview, Journal of the Indian Institute of Science 89:1 (2009) 21-33.

[7] S.U.S. Choi, J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, ASME International Mechanical Engineering Congress & Exposition, San Francisco, CA (1995).

[8] A. Gavili, F. Zabihi, T.D. Isfahani, J. Sabbaghzadeh, The thermal conductivity of water base ferrofluids under magnetic field, Experimental Thermal and Fluid Science 41 (2012) 94-98.

DOI: 10.1016/j.expthermflusci.2012.03.016

[9] E.V. Timofeeva, W. Yu, D.M. France, D. Singh, J. L. Routbort, Nanofluids for heat transfer: an engineering approach, Nanoscale Research Letters 6:182 (2011) 1-7.

DOI: 10.1186/1556-276x-6-182

[10] A.K. Singh, Thermal Conductivity of Nanofluids, Defence Science Journal 58 (2008) 600-607.

[11] G. Paul, M. Chopkar, I. Manna, P.K. Das, Techniques for measuring the thermal conductivity of nanofluids: A review, Renewable and Sustainable Energy Reviews 14 (2010) 1913-1924.

DOI: 10.1016/j.rser.2010.03.017

[12] J.K. Horrocks, E McLaughlin, Non-steady state measurements of thermal conductivities of liquids polyphenyls, Proc. R. Soc. Lond., 273(A) (1963) 259-74.

DOI: 10.1098/rspa.1963.0087

[13] Y. Nagasaka, A. Nagashima, Absolute measurement of the thermal conductivity of electrically conducting liquids by the transient hot-wire method, J. Phys. E: Sci. Instrum. 14 (1981) 1435-1440.

DOI: 10.1088/0022-3735/14/12/020

[14] S.M.S. Murshed, K.C. Leong, C. Yang, Investigations of thermal conductivity and viscosity of nanofluids, International Journal of Thermal Sciences 47 (2008) 560-568.

DOI: 10.1016/j.ijthermalsci.2007.05.004

[15] C.H. Li, W. Williams, J. Buongiorno, Lin-Wen Hu, G.P. Peterson, Transient and steady-state experimental comparison study of effective thermal conductivity of Al2O3/water nanofluids, Journal of Heat Transfer, 130 (2008) 042407.

DOI: 10.1115/1.2789719

[16] W. Yu, H. Xie, Y. Li, L. Chen, Experimental investigation on thermal conductivity and viscosity of aluminium nitride nanofluid, Particuology 9 (2011) 187-191.

DOI: 10.1016/j.partic.2010.05.014

[17] M. Chandrasekar, S. Suresh, A.C. Bose, Experimental investigations and theoretical determination of thermal conductivity and viscosity of Al2O3/water nanofluid, Experimental Thermal and Fluid Science 34 (2010) 210–216.

DOI: 10.1016/j.expthermflusci.2009.10.022

[18] H. Xie, J. Wang, T. Xi, Y. Liu, F. Ai et al., Thermal conductivity enhancement of suspensions containing nanosized alumina particles, J. Appl. Phys. 91 (2002) 4568-71.

DOI: 10.1063/1.1454184

[19] S. Harish, K. Ishikawa, E. Einarsson, S. Aikawa, S. Chiashi, J. Shiomi, S. Maruyama, Enhanced thermal conductivity of ethylene glycol with single-walled carbon nanotube inclusions, International Journal of Heat and Mass Transfer 55 (2012) 3885-3890.

DOI: 10.1016/j.ijheatmasstransfer.2012.03.001

[20] C. Pang, J.Y. Jung, J.W. Lee, Y.T. Kang, Thermal conductivity measurement of methanol-based nanofluids with Al2O3 and SiO2 nanoparticles, International Journal of Heat and Mass Transfer 55 (2012) 5597-5602.

DOI: 10.1016/j.ijheatmasstransfer.2012.05.048

[21] G. Paul, S. Sarkar, T. Pal, P.K. Das, I. Manna, Concentration and size dependence of nano-silver dispersed water based nanofluids, Journal of Colloid and Interface Science 371 (2012) 20-27.

DOI: 10.1016/j.jcis.2011.11.057

[22] W. Yu, H. Xie, L. Chen, Y. Li, Investigation of thermal conductivity and viscosity of ethylene glycol based ZnO nanofluid, Thermochimica Acta 491 (2009) 92-96.

DOI: 10.1016/j.tca.2009.03.007

[23] H. Xie, H. Lee, W. Youn, M. Choi, Nanofluids containing multiwalled carbon nanotubes and their enhanced thermal conductivities, J. Appl. Phys. 94 (2003) 4967-71.

DOI: 10.1063/1.1613374

[24] S.M.S. Murshed, K.C. Leong, C. Yang, Enhanced thermal conductivity of TiO2-water based nanofluids, International Journal of Thermal Sciences 44 (2005) 367-373.

DOI: 10.1016/j.ijthermalsci.2004.12.005

[25] M. Chopkar, P.K. Das, I. Manna, Synthesis and characterization of nanofluid for advanced heat transfer applications, Scripta Materialia 55 (2006) 549-552.

DOI: 10.1016/j.scriptamat.2006.05.030

[26] T. Yiamsawasd, S. Wongwises, Measurement of the thermal conductivity of titania and alumina nanofluids, Thermochimica Acta doi:10.1016/j.tca.2012.06.026 (2010).

DOI: 10.1016/j.tca.2012.06.026

[27] A. Turgut, I. Tavman , M. Chirtoc, H.P. Schuchmann, C. Sauter, S. Tavman, Thermal conductivity and viscosity measurements of water-based TiO2 nanofluids, Int. J. Thermophys. 30 (2009) 1213-1226.

DOI: 10.1007/s10765-009-0594-2

[28] L. Fedele, L. Colla, S. Bobbo, Viscosity and thermal conductivity measurements of water-based nanofluids containing titanium oxide nanoparticles, International Journal of Refrigeration 35 (2012) 1359-1366.

DOI: 10.1016/j.ijrefrig.2012.03.012

[29] R. Karthik, R.H. Nagarajan, B. Raja, P. Damodharan, Thermal conductivity of CuO–DI water nanofluids using 3-ω measurement technique in a suspended micro-wire, Experimental Thermal and Fluid Science 40 (2012) 1-9.

DOI: 10.1016/j.expthermflusci.2012.01.006

[30] Z. Meng, D. Han, D. Wu, H. Zhub, Q. Li, Thermal conductivities, rheological behaviors and photothermal properties of ethylene glycol-based nanofluids containing carbon black nanoparticles, Procedia Engineering 36 ( 2012 ) 521-527.

DOI: 10.1016/j.proeng.2012.03.076

[31] W. Duangthongsuk, S. Wongwises, Measurement of temperature-dependent thermal conductivity and viscosity of TiO2-water nanofluids, Experimental Thermal and Fluid Science 33 (2009) 706-714.

DOI: 10.1016/j.expthermflusci.2009.01.005

[32] S.K. Das, N. Putra, P. Thiesen, W. Roetzel, Temperature dependence of thermal conductivity enhancement for nanofluids, Journal of Heat Transfer, 125 (2003) 567-574.

DOI: 10.1115/1.1571080

[33] H.E. Patel, S.K. Das, T. Sundararajan, A.S. Nair, B. George et al., Thermal conductivities of naked and monolayer protected metal nanoparticle based nanofluids: manifestation of anomalous enhancement and chemical effects, Appl. Phys. Lett. 83 (2003) 2931-33.

DOI: 10.1063/1.1602578

[34] C.H. Li, G.P. Peterson, The effect of particle size on the effective thermal conductivity of Al2O3-water nanofluids, J. Appl. Phys. 101 (2007) 044312.

DOI: 10.1063/1.2436472

[35] G. Colangelo, E. Favale, A. de Risi, D. Laforgia, Results of experimental investigations on the heat conductivity of nanofluids based on diathermic oil for high temperature applications, Applied Energy 97 (2012) 828-833.

DOI: 10.1016/j.apenergy.2011.11.026

[36] M. Kole, T.K. Dey, Effect of prolonged ultrasonication on the thermal conductivity of ZnO–ethylene glycol nanofluids, Thermochimica Acta 535 (2012) 58-65.

DOI: 10.1016/j.tca.2012.02.016

[37] C.A.N. de Castro, S.M.S. Murshed, M.J.V. Lourenço, F.J.V. Santos, M.L.M. Lopes, J.M.P. França, Enhanced thermal conductivity and specific heat capacity of carbon nanotubes Ionanofluids, International Journal of Thermal Sciences, in press (2012) 1-6.

DOI: 10.1016/j.ijthermalsci.2012.03.010

[38] H. Xie, J. Wang, T. Xi, Y. Liu, F. Ai, Dependence of the thermal conductivity of nanoparticle-fluid mixture on the base fluid, Journal of Materials Science Letters 21 (2002) 1469-1471.

[39] E.V. Timofeeva, W. Yu, D.M. France, D. Singh, J.L. Routbort, Base fluid and temperature effects on the heat transfer characteristics of SiC in ethylene glycol/H2O and H2O nanofluids, J. Appl. Phys. 109 (2011) 014914.

DOI: 10.1063/1.3524274

[40] R.S. Khedkar, S.S. Sonawane , K.L. Wasewar, Influence of CuO nanoparticles in enhancing the thermal conductivity of water and monoethylene glycol based nanofluids, International Communications in Heat and Mass Transfer 39 (2012) 665-669.

DOI: 10.1016/j.icheatmasstransfer.2012.03.012

[41] T.H. Tsai, L.S. Kuo, P.H. Chen, and C.T. Yang, Effect of viscosity of base fluid on thermal conductivity of nanofluids, Appl. Phys. Lett. 93 (2008) 233121.

DOI: 10.1063/1.3046732

[42] Y.J. Hwang, Y.C. Ahn, H.S. Shin, C.G. Lee, G.T. Kim, H.S. Park, J.K. Lee, Investigation on characteristics of thermal conductivity enhancement of nanofluids, Current Applied Physics 6 (2006) 1068-1071.

DOI: 10.1016/j.cap.2005.07.021

[43] M.P. Beck, Y. Yuan, P. Warrier, A.S. Teja, The effect of particle size on the thermal conductivity of alumina nanofluids, J. Nanopart. Res. 11(2009) 1129-1136.

DOI: 10.1007/s11051-008-9500-2

[44] S. Ozerinc¸ S. Kakac¸ A.G. Yazıcıoglu, Enhanced thermal conductivity of nanofluids: a state-of-the-art review, Microfluid Nanofluid, 8 (2010) 145-170.

[45] R. Prasher, P.E. Phelan, P. Bhattacharya, Effect of aggregation kinetics on the thermal conductivity of nanoscale colloidal solutions (nanofluid), Nano Lett. 6 (2006) 1529-1534.

DOI: 10.1021/nl060992s

[46] H.E. Patel, T. Sundararajan, S.K. Das, A cell model approach for thermal conductivity of nanofluids, J. Nanopart. Res. 10 (2008) 87.

DOI: 10.1007/s11051-007-9236-4

[47] X. Wang, D. Zhu, S. Yang, Investigation of pH and SDBS on enhancement of thermal conductivity in nanofluids, Chem. Phys. Lett. 470 (2009) 107-111.

DOI: 10.1016/j.cplett.2009.01.035

[48] S.M.S. Murshed, K.C. Leong, C. Yang, Characterization of electrokinetic properties of nanofluids, J. Nanosci. Nanotechnol. 8 (2008) 5966-5971.

DOI: 10.1166/jnn.2008.18369

[49] T. Yousefi, E. Shojaeizadeh, F. Veysi, S. Zinadini, An experimental investigation on the effect of pH variation of MWCNT-H2O nanofluid on the efficiency of a flat-plate solar collector, Solar Energy 86 (2012) 771-779.

DOI: 10.1016/j.solener.2011.12.003

[50] A. Nasiri, M.S. Niasar, A.M. Rashidi, R. Khodafarin, Effect of CNT structures on thermal conductivity and stability of nanofluid, International Journal of Heat and Mass Transfer 55 (2012) 1529-1535.

DOI: 10.1016/j.ijheatmasstransfer.2011.11.004

[51] E.V. Timofeeva, J.L. Routbort, D. Singh, Particle shape effects on thermophysical properties of alumina nanofluids, J. Appl. Phys. 106 (2009) 014304.

DOI: 10.1063/1.3155999

[52] P.C.M. Kumar, J. Kumar , S. Sendhilnathan, Theoretical model to determine the thermal conductivity of nanofluids, International Journal of Engineering Science and Technology 2 ( 2010) 2846-2852.

[53] K.V. Wong, M.J. Castillo, Heat transfer mechanisms and clustering in nanofluids, Advances in Mechanical Engineering doi:10.1155/2010/795478 (2010).

DOI: 10.1155/2010/795478

[54] J.C. Maxwell, A Treatise on Electricity and Magnetism, Macmillan and Co.,Clarendon Press, Oxford, 1873.

[55] R.L. Hamilton, O.K. Crosser, Thermal conductivity of heterogeneous two component systems, I. & E.C. Fundamentals 1 (1962) 187-191.

DOI: 10.1021/i160003a005

[56] Y. Xuan, Q. Li, Heat transfer enhancement of nanofluids, International Journal of Heat and Fluid Flow 21 (2000) 58-64.

DOI: 10.1016/s0142-727x(99)00067-3

[57] X.Q. Wang, A.S. Mujumdar, A review on nanofluids-part I: theoretical and numerical investigations, Brazilian Journal of Chemical Engineering 25 (2008) 613-630.

DOI: 10.1590/s0104-66322008000400001

[58] D.J. Jeffrey, Conduction through a random suspension of spheres, Proc. Roy. Soc., Lond., A335 (1973) 355-367.

[59] R.H. Davis, The effective thermal conductivity of a composite material with spherical inclusions, Int. J. Thermophys. 7 (1986) 609-620.

DOI: 10.1007/bf00502394

[60] S.Y.Lu, H.C. Lin, Effective conductivity of composites containing aligned spheroidal inclusions of finite conductivity, J. Appl. Phys. 79 (1996) 6761.

DOI: 10.1063/1.361498

[61] R.T. Bonnecaze, J.F. Brady, Proc. R. Soc. London, Ser. A 430 (1990) 285.

[62] R.T. Bonnecaze, J.F. Brady, Proc. R. Soc. London, Ser. A 432 (1991) 445.

[63] Q.Z. Xue, Model for effective thermal conductivity of nanofluids, Physics Letters A 307 (2003) 313–317.

DOI: 10.1016/s0375-9601(02)01728-0

[64] C. Kleinstreuer, Y. Feng, Experimental and theoretical studies of nanofluid thermal conductivity enhancement: a review, Nanoscale Research Letters 6 (2011) 229.

DOI: 10.1186/1556-276x-6-229

[65] K. Khanafer, K. Vafai, A critical synthesis of thermophysical characteristics of nanofluids, International Journal of Heat and Mass Transfer 54 (2011) 4410-4428.

DOI: 10.1016/j.ijheatmasstransfer.2011.04.048

[66] S. P. Jang, S.U S. Choi, Role of Brownian motion in the enhanced thermal conductivity of nanofluids, Appl. Phys. Lett. 84 (2004) 4316.

DOI: 10.1063/1.1756684

[67] J. Koo, C. Kleinstreuer, A new thermal conductivity model for nanofluids, Journal of Nanoparticle Research 6 (2004) 577-588.

DOI: 10.1007/s11051-004-3170-5

[68] J. Xu, B. Yu, M. Zou, P. Xu, A new model for heat conduction of nanofluids based on fractal distributions of nanoparticles, J. Phys. D. Appl. Phys. 39 (2006) 4486-4490.

DOI: 10.1088/0022-3727/39/20/028

[69] Y. Xuan, Q. Li, W. Hu, Aggregation structure and thermal conductivity of nanofluids, thermodynamics, J. American Inst. of Chem. Eng. 49 (2003) 1038-1043.

DOI: 10.1002/aic.690490420

[70] R. Prasher, P. Bhattacharya, P.E. Phelan, Thermal conductivity of nanoscale colloidal solutions (nanofluids), Phys. Rev. Lett. 94 (2005) 1-4.

DOI: 10.1103/physrevlett.94.025901

[71] M.E. Meibodi, M.V. Sefti, A.M. Rashidi, A. Amrollahi, M. Tabasi, H.S. Kalal, Simple model for thermal conductivity of nanofluids using resistance model approach, International Communications in Heat and Mass Transfer 37 (2010) 555-559.

DOI: 10.1016/j.icheatmasstransfer.2009.12.010

[72] S.M.S. Murshed, K.C. Leong, C. Yang, A combined model for the effective thermal conductivity of nanofluids, Applied Thermal Engineering 29 (2009) 2477-2483.

DOI: 10.1016/j.applthermaleng.2008.12.018

[73] W. Evans, R. Prasher, J. Fish, P. Meakin, P. Phelan, P. Keblinski, Effect of aggregation and interfacial thermal resistance on thermal conductivity of nanocomposites and colloidal nanofluids, Int. J. Heat Mass Transf. 51 (2008) 1431-1438.

DOI: 10.1016/j.ijheatmasstransfer.2007.10.017

[74] B.X. Wang, L.P. Zhou, X.F. Peng, A fractal model for predicting the effective thermal conductivity of liquid with suspension of nanoparticles, International Journal of Heat and Mass Transfer 46 (2003) 2665-2672.

DOI: 10.1016/s0017-9310(03)00016-4

[75] W. Yu, S.U.S. Choi, The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model, J. Nanopart. Res. 5 (2003) 167-171.

DOI: 10.1023/a:1024438603801

[76] W. Yu, S.U.S. Choi, The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Hamilton–Crosser model, J. Nanopart. Res. 6 (2004) 355-361.

DOI: 10.1007/s11051-004-2601-7

[77] H. Xie, M. Fujii, X. Zhang, Effect of interfacial nanolayer on the effective thermal conductivity of nanoparticle-fluid mixture, International Journal of Heat and Mass Transfer 48 (2005) 2926-2932.

DOI: 10.1016/j.ijheatmasstransfer.2004.10.040

[78] Q. Xue, W.M. Xu, A model of thermal conductivity of nanofluids with interfacial shells, Materials Chemistry and Physics 90 (2005) 298-301.

DOI: 10.1016/j.matchemphys.2004.05.029

[79] A.R. Moghadassi, S.M. Hosseini, D. Henneke, A. Elkamel, A model of nanofluids effective thermal conductivity based on dimensionless groups, Journal of Thermal Analysis and Calorimetry 96 (2009) 81-84.

DOI: 10.1007/s10973-008-9843-z

[80] C.H. Li, W. Williams, J. Buongiorno, L.W. Hu, G.P. Peterson, Transient and steady-state experimental comparison study of effective thermal conductivity of Al2O3/water nanofluids, J. Heat Transf. 130 (2008) 042407.

DOI: 10.1115/1.2789719

[81] S. Nabi, E. Shirani, Simultaneous effects of brownian motion and clustering of nanoparticles on thermal conductivity of nanofluids, IJST, Transactions of Mechanical Engineering 36 (2012) 53-68.

[82] V. Trisaksri, S. Wongwises, Critical review of heat transfer characteristics of nanofluids, Renewable and Sustainable Energy Reviews 11 (2007) 512-523.

DOI: 10.1016/j.rser.2005.01.010

[83] S.A. Putnam, D.G. Cahill, P.V. Braun, Z. Ge, R.G. Shimmin, Thermal conductivity of nanoparticle suspensions, Journal of Applied Physics 99 (2006) 084308/1–084308/6.

DOI: 10.1063/1.2189933

[84] S.M.S. Murshed, K.C. Leong, C. Yang, Thermophysical and electrokinetic properties of nanofluids- A critical review, Applied Thermal Engineering 28 (2008) 2109-2125.

DOI: 10.1016/j.applthermaleng.2008.01.005

[85] Y. Yang, E.A. Grulke, Z.G. Zhang, G. Wu, Thermal and rheological properties of carbon nanotube-in-oil dispersions, Journal of Applied Physics 99 (2006) 114307.

DOI: 10.1063/1.2193161

[86] W. Yu, D.M. France , J.L. Routbort, S.U.S. Choi, Review and comparison of nanofluid thermal conductivity and heat transfer enhancements, Heat Transfer Engineering 29 (2008) 432-460.

DOI: 10.1080/01457630701850851

[87] Z. Haddad, E.A. Nada, H.F. Oztop, A. Mataoui, Natural convection in nanofluids: are the thermophoresis and Brownian motion effects significant in nanofluid heat transfer enhancement?, International Journal of Thermal Sciences 57 (2012) 152-162.

DOI: 10.1016/j.ijthermalsci.2012.01.016

[88] D.H. Kumar, H.E. Patel, V.R.R. Kumar, T. Sundararajan, T. Pradeep, S.K. Das, Model for heat conduction in nanofluids, Physical Review Letters 93 (2004) 144301.

DOI: 10.1103/physrevlett.93.144301

[89] P. Keblinski, S.R. Phillpot, S.U.S. Choi, J.A. Eastman, Mechanisms of heat flow in suspensions of nano-sized particles (nanofluids), Int. J. Heat Mass Transf. 45 (2002) 855-863.

DOI: 10.1016/s0017-9310(01)00175-2

[90] P. Keblinski, J.A. Eastman, D.G. Cahill, Nano fluids for thermal transport, materialtoday, (2005) 36-44.

[91] H.R. Seyf , B. Nikaaein, Analysis of Brownian motion and particle size effects on the thermal behaviour and cooling performance of microchannel heat sinks, International Journal of Thermal Sciences 58 (2012) 36-44.

DOI: 10.1016/j.ijthermalsci.2012.02.022

[92] J.J. Wang, R.T. Zheng, J.W. Gao, G. Chen, Heat conduction mechanisms in nanofluids and Suspensions, Nano Today 7 (2012) 124-136.

DOI: 10.1016/j.nantod.2012.02.007

[93] C. Nie, W.H. Marlow, Y.A. Hassan, Discussion of proposed mechanisms of thermal conductivity enhancement in nanofluids, International Journal of Heat and Mass Transfer 51 (2008) 1342-1348.

DOI: 10.1016/j.ijheatmasstransfer.2007.11.034

[94] C.H. Li, G.P. Peterson, Mixing effect on the enhancement of the effective thermal conductivity of nanoparticle suspensions (nanofluids), Int. J. of Heat and Mass Transfer 50 (2007) 4668-4677.

DOI: 10.1016/j.ijheatmasstransfer.2007.03.015

[95] J. Koo, C. Kleinstreuer, International Communications in Heat and Mass Transfer 32 (2005) 1111-1118.

[96] R. Prasher, W. Evans, P. Meakin, J. Fish, P. Phelan, P. Keblinski, Effect of aggregation on thermal conduction in colloidal nanofluids, Appl. Phys. Lett. 89 (2006) 143119.

DOI: 10.1063/1.2360229

[97] T. Thajudeen, C.J. Hogan Jr., First passage calculation of the conductivity of particle aggregate-laden suspensions and composites, Powder Technology 218 (2012) 31-39.

DOI: 10.1016/j.powtec.2011.11.028

[98] J. Hong, D. Kim, Effects of aggregation on the thermal conductivity of alumina/water nanofluids, Thermochimica Acta 542 (2012) 28-32.

DOI: 10.1016/j.tca.2011.12.019

[99] D. Wen, G. Lin, S. Vafaei, K. Zhang, Review of nanofluids for heat transfer applications, Particuology 7 (2009) 141-150.

DOI: 10.1016/j.partic.2009.01.007

[100] J.A. Eastman, S.R. Phillpot, S.U.S. Choi, P. Keblinski, Thermal transport in nanofluids, Annual Review of Materials Research 34 (2004) 219–246.

DOI: 10.1146/annurev.matsci.34.052803.090621