Numerical Study of Mixed Convection Heat Transfer in a Cavity Filled with NonNewtonian Nanofluids Utilizing Two-phase Mixture Model

Document Type : Research Article

Authors

Mechanical Engineering Department, Yasouj University, Yasouj, Iran

Abstract

: In the present research, the problem of mixed convection flow of a non-Newtonian nanofluid in a lid-driven cavity is simulated using a two-phase mixture model. Nanofluid of water-copper in this problem shows a shear-thinning behavior. To study the effects of non-Newtonian fluid with power-law model on the amount of heat transfer, various power-law indices are considered. After applying the governing equations and related models in the computational code, its validation is done by simulating the problem with Newtonian and non-Newtonian fluid behavior and comparing the results with those of other researchers. Afterwards, simulation of the problem is accomplished for the Richardson numbers of 0.001-1 and power-law indices of 0.2-1 while the volume fraction of nanoparticles alters from 0 to 0.09. The obtained results show that the increase in Richardson number decreases the amount of heat transfer. For all Richardson number decrease in the power law index leads to a decrease in the average Nusselt number. Variation of volume fraction from 0 to 0.09 at the power law index of 0.2 leads to an approximate increase of 15.75% and 17.32% in the average Nusselt number for Ri=0.001 and 1, respectively.

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[1] R. Iwatsu, J.M. Hyun, K. Kuwahara, Mixed convection in a driven cavity with a stable vertical temperature gradient, International Journal of Heat and Mass Transfer, 36(6) (1993) 1601-1608.
[2] M. Sharif, Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom, Applied thermal engineering, 27(5) (2007) 1036-1042.
[3] M. Alinia, D.D. Ganji, M. Gorji-Bandpy, Numerical study of mixed convection in an inclined two sided lid driven cavity filled with nanofluid using two-phase mixture model, International Communications in Heat and Mass Transfer, 38(10) (2011) 1428-1435.
[4] M. Akbari, N. Galanis, A. Behzadmehr, Comparative analysis of single and two-phase models for CFD studies of nanofluid heat transfer, International Journal of Thermal Sciences, 50(8) (2011) 1343-1354.
[5] H. Aminfar, M. Mohammadpourfard, S.A. Zonouzi, Numerical study of the ferrofluid flow and heat transfer through a rectangular duct in the presence of a non-uniform transverse magnetic field, Journal of Magnetism and Magnetic materials, 327 (2013) 31-42.
[6] A. Behzadmehr, M. Saffar-Avval, N. Galanis, Prediction of turbulent forced convection of a nanofluid in a tube with uniform heat flux using a two phase approach, International Journal of Heat and Fluid Flow, 28(2) (2007) 211-219.
[7] Y.-j. Chen, Y.-y. Li, Z.-h. Liu, Numerical simulations of forced convection heat transfer and flow characteristics of nanofluids in small tubes using two-phase models, International Journal of Heat and Mass Transfer, 78 (2014) 993-1003.
[8] M. Hejazian, M.K. Moraveji, A. Beheshti, Comparative study of Euler and mixture models for turbulent flow of Al2O3 nanofluid inside a horizontal tube, International Communications in Heat and Mass Transfer, 52 (2014) 152-158.
[9] R. Deepak Selvakumar, S. Dhinakaran, Forced convective heat transfer of nanofluids around a circular bluff body with the effects of slip velocity using a multi-phase mixture model, International Journal of Heat and Mass Transfer, 106 (2017) 816-828.
[10] M. Siavashi, M. Jamali, Heat transfer and entropy generation analysis of turbulent flow of TiO2-water nanofluid inside annuli with different radius ratios using two-phase mixture model, Applied Thermal Engineering, 100 (2016) 1149-1160.
[11] Y. Abbassi, A.S. Shirani, S. Asgarian, Two-phase mixture simulation of Al 2 O 3/water nanofluid heat transfer in a non-uniform heat addition test section, Progress in Nuclear Energy, 83 (2015) 356-364.
[12] F. Garoosi, B. Rohani, M.M. Rashidi, Two-phase mixture modeling of mixed convection of nanofluids in a square cavity with internal and external heating, Powder Technology, 275 (2015) 304-321.
[13] M. Goodarzi, M. Safaei, K. Vafai, G. Ahmadi, M. Dahari, S. Kazi, N. Jomhari, Investigation of nanofluid mixed convection in a shallow cavity using a two-phase mixture model, International Journal of Thermal Sciences, 75 (2014) 204-220.
[14] R. Lotfi, Y. Saboohi, A.M. Rashidi, Numerical study of forced convective heat transfer of Nanofluids: Comparison of different approaches, International Communications in Heat and Mass Transfer, 37(1) (2010) 74-78.
[15] S. Gao, J. Hartnett, Non-Newtonian fluid laminar flow and forced convection heat transfer in rectangular ducts, International communications in heat and mass transfer, 19(5) (1992) 673-686.
[16] J. Peixinho, C. Desaubry, M. Lebouche, Heat transfer of a non-Newtonian fluid (Carbopol aqueous solution) in transitional pipe flow, International journal of heat and mass transfer, 51(1) (2008) 198-209.
[17] H. Chang, C. Jwo, C. Lo, T. Tsung, M. Kao, H. Lin, Rheology of CuO nanoparticle suspension prepared by ASNSS, Rev. Adv. Mater. Sci, 10(2) (2005) 128-132.
[18] Y. Ding, H. Alias, D. Wen, R.A. Williams, Heat transfer of aqueous suspensions of carbon nanotubes (CNT nanofluids), International Journal of Heat and Mass Transfer, 49(1) (2006) 240-250.
[19] A. Esmaeilnejad, H. Aminfar, M.S. Neistanak, Numerical investigation of forced convection heat transfer through microchannels with non-Newtonian nanofluids, International Journal of Thermal Sciences, 75 (2014) 76-86.
[20] I. Behroyan, P. Ganesan, S. He, S. Sivasankaran, Turbulent forced convection of Cu–water nanofluid: CFD model comparison, International Communications in Heat and Mass Transfer, 67 (2015) 163-172.
[21] P. Ternik, R. Rudolf, Laminar natural convection of non-Newtonian nanofluids in a square enclosure with differentially heated side walls, International journal of simulation modelling, 12(1) (2013) 5-16.
[22] A. Raisi, Natural Convection of Non-Newtonian Fluids in a Square Cavity with a Localized Heat Source, Strojniški vestnik-Journal of Mechanical Engineering, 62(10) (2016) 553-564.
[23] A.K. Santra, S. Sen, N. Chakraborty, Study of heat transfer augmentation in a differentially heated square cavity using copper–water nanofluid, International Journal of Thermal Sciences, 47(9) (2008) 1113-1122.
[24] A. Abbasian Arani, G. Sheikhzadeh, A. Ghadirian Arani, Study of Fluid Flow and Heat Transfer of AL2O3-Water as a Non-Newtonian Nanofluid through Lid-Driven Enclosure, Transport Phenomena in Nano and Micro Scales, 2(2) (2014) 118-131.
[25] G.R. Kefayati, FDLBM simulation of mixed convection in a lid-driven cavity filled with non-Newtonian nanofluid in the presence of magnetic field, International Journal of Thermal Sciences, 95 (2015) 29-46.
[26] G. Kefayati, Heat transfer and entropy generation of natural convection on non-Newtonian nanofluids in a porous cavity, Powder Technology, 299 (2016) 127-149.
[27] M. Mohammadpourfard, Numerical study of magnetic fields effects on the electrical conducting non-newtonian  ferrofluid flow through a vertical channel, Modares Mechanical Engineering Journal, 15 (2015) 379-389 (in Persian).
[28] A.Y. Varaksin, Turbulent particle-laden gas flows, Springer, 2007.
[29] M. Manninen, V. Taivassalo, S. Kallio, On the mixture model for multiphase flow, in, Technical Research Centre of Finland 1996, pp. 9-18.
[30] L. Schiller, Z. Naumann, A drag coefficient correlation, Vdi Zeitung, 77(318) (1935) 318-320.
[31] X. Wang, X. Xu, S.U. S. Choi, Thermal conductivity of nanoparticle-fluid mixture, Journal of thermophysics and heat transfer, 13(4) (1999) 474-480.
[32] H. Brinkman, The viscosity of concentrated suspensions and solutions, The Journal of Chemical Physics, 20(4) (1952) 571-571.
[33] R.P. Chhabra, J.F. Richardson, Non-Newtonian flow and applied rheology: engineering applications, Butterworth-Heinemann, 2011.
[34] L. Chen, J. Zang, A. Hillis, G. Morgan, A. Plummer, Numerical investigation of wave–structure interaction using OpenFOAM, Ocean Engineering, 88 (2014) 91-109.
[35] X. Meng, X. Zhang, Q. Li, Numerical investigation of nanofluid natural convection coupling with nanoparticles sedimentation, Applied Thermal Engineering, 95 (2016) 411-420.
[36] G.R. Kefayati, FDLBM simulation of magnetic field effect on mixed convection in a two sided lid-driven cavity filled with non-Newtonian nanofluid, Powder Technology, 280 (2015) 135-153.