Two-Phase Numerical Simulation of Flow and Heat Transfer of Nanofluids in a Microchannel Heat Sink Using Homogeneous Mixture Model

Abstract

In this paper, flow and laminar convective heat transfer of nanofluids in two dimensional parallel plate microchannel have been studied without and with considering the conjugate heat transfer numerically. Two types of nanoparticles are considered in this study, the Aluminium oxide and Titanium oxide with the diameters of 47nm and 27 nm, respectively. The simulation is conducted for Reynolds numbers of Re≤16, 1% to 4% volume concentration range , and different conductivity of heat sink to conductivity of base fluid. Moreover, the two phase homogenous mixture model has been used to study the fluid. Continuity, momentum, energy and volume fraction of nanoparticles equations are solved using a finite volume method. The presence of nanoparticles causes changes in the velocity profile and nondimensionalized temperature distribution. It is observed that the heat transfer rate enhances with an increase in Reynolds number, conductivity of heat sink and the use of the nanofluid Alumina/ water in comparison with Titanium oxide/water. Homogeneous two-phase mixture model results are in good agreement with the numerical results of other researchers.

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[1] Masuda H, Ebata A, Teramae K., Hishinuma N (1993) Alteration of thermal conductivity and viscousity of liquid by dispersing ultra-fine particles. Netsu Bussei 7: 227–233.
[2] Choi SUS (1995) Enhancing thermal conductivity of fluid with nanoparticles. Developments and Application of non-newtonian flows. D.A.siginer and H.P. Wangeds., ED, v.231/MD (66): 99–105.
[3] Pak BC, Cho YI (1998)  Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles. Exp Heat Transfer 11: 151–170.
[4] Kays WM, Crawford ME (1993) Convective heat and mass transfer. 3rd edn. McGraw-Hill, New York.
[5] Akbarnia A, Laur R (2008) Investigating the diameter of solid particles effects on a laminar nano fluid flow in a curved tube using a two phase approach. Int J Heat Fluid Flow 29: 706–714.
 [6] Kalteh M, Abbassi A, Saffar-Avval M, Harting, J, Darhuber A, Harting J (2011)  Eulerian-Eulerian two-phase numerical simulation of nanofluid laminar forced convection in a microchannel. Int J Heat Fluid Flow 32: 107–116.
[7] Yang YT, Lai FH (2011) Numerical study of flow and heat transfer characteristics of alumina-water nanofluids in a microchannel using the lattice Boltzmann method. Int Commun Heat Mass38: 607–614.
[8] Abbasian Arani AA, Amani J (2013) Experimental investigation of diameter effect on heat transfer performance and pressure drop of TiO2–water nanofluid. Experimental Thermal and Fluid Science 44: 520–533.
[9] Kalteh M, Abbassi A, Saffar-Avval M, Frijns A, Darhuber A, Harting J (2012) Experimental and numerical investigation of nanofluid forced convection inside a wide microchannel heat sink. Appl Therm Eng 36 :260–268.
[10] Kalteh M (2013) Investigating the effect ofvarious nanoparticle and base liquid types onthe nanofluidsheat and fluidflowinamicrochannel. Appl Math Modelxxx xxx–xxx  (ARTICLE IN PRESS).
[11] Lelea D (2011) The performance evaluation of Al2O3/water nanofluid flow and heat transfer in microchannel heat sink. Int J Heat Mass Transfer 54: 3891–3899.
[12] Khanafer Kh, Vafai  K (2011) A critical synthesis  of thermophysical characteristics of nanofluids. Int J Heat Mass Transfer 54 : 4410–4428.
[13] Aminfar H, Mohammadpourfard M, Zonouzi, SA (2013) Numerical study of the ferrofluid flow and heat transfer through a rectangular duct in the presence of a non-uniform transverse magnetic field. J Magn Magn Mater 327: 31–42.
[14] Aminfar H, Mohammadpourfard,M, Kahnamouei YN (2011)  A 3D numerical simulation of mixed convection of a magnetic nanofluid in the presence of non-uniform magnetic field in a vertical tube using two phase mixture model. J Magn Magn Mater 323: 1963–1972.
[15] Boulet P, Moissette S (2002) Influence of the particle-turbulence modulation modeling in the simulation of a non-isothermal gas–solid flow. Int J Heat Mass Transfer 45: 4201–4216.
[16] Mintsa HA, Roy G, Nguyen CT, Doucet D (2009) New temperature dependent thermal conductivity data for water-based nanofluids. Int J Therm Sci 48: 363–371.
[17] Nguyen CT, Desgranges F, Roy G, Galanis N, Maré T, Boucher S, Mintsa HA  (2007) Temperature an  particle-size dependent viscosity data for water-based nanofluids-hysteresis phenomenon. Int J Heat Fluid Flow 28 :1492–1506.