Numerical Study of Hydro-Magnetic Nanofluid Mixed Convection in a Square Lid-Driven Cavity Heated From Top and Cooled From Bottom

Document Type : Original Research Paper

Authors

Mechanical Engineering Department, University of Semnan ,Semnan, I.R. Iran

Abstract

In the present research mixed convection flow through a copper-water nanofluid in a driven cavity in the presence of magnetic field is investigated numerically. The cavity is heated from top and cooled from bottom while its two vertical walls are insulated. The governing equations including continuity, N-S and energy equations are solved over a staggered grid system. The study is conducted for Grashof number103 to 105, Hartmann number 0 to 100 and volume fraction number  0 to 5% while Reynolds number is fixed at 100. Hamilton–Crosser and Brinkman models have estimated effective thermal conductivity and effective viscosity of nanofluid, respectively. It is observed that magnetic field has unconstructive effect on heat transfer process whereas nanoparticles increase heat transfer rate.

Keywords


[1] B. Gebhart, L. Pera: The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat and Mass Transfer. 14 (1971) 2025-2050.
[2] A. Bejan: Mass and heat transfer by natural convection in a cavity, Int. J. Heat Fluid Flow. 6(3) (1985) 2125-2150.
[3] C. Beghein, F. Haghighat, F. Allard: Numerical study of double-diffusive natural convection in a square cavity, Int. J. Heat Mass Transf. 35 (1992) 833-846.
[4] A.J. Chamkha, H. Al-Naser: Hydro magnetic double-diffusive convection in a rectangular enclosure with opposing temperature and concentration gradients, Int. J. Heat Mass Transf. 45 (2002) 2465-2483.
[5] Q.H. Deng, J. Zhou, C.Mei, Y.M. Shen: Fluid, heat and contaminant transport structures of laminar double-diffusive mixed convection in a two-dimensional ventilated enclosure, Int. J. Heat Mass Transf. 47(24) (2004) 5257-5269.
[6] A. M. Al-Amiri, Kh. M. Khanafer, I. Pop: Numerical simulation of combined thermal and mass transport in a square lid-driven cavity, Int. J. Therm. Sci. 46(7) (2007) 662-671.
[7] B. B. Beya, T. Lili: Oscillatory double-diffusive mixed convection in a two-dimensional ventilated enclosure, Int. J. Heat Mass Transf. 50(23-24) (2007) 4540-4553.
[8] M. A. Teamah, W. M. El-Maghlany: Numerical simulation of double-diffusive mixed convective flow in rectangular enclosure with insulated moving lid, Int. J. Therm. Sci. 49(9) (2010) 1625-1638.
[9] F. Talebi, A. H. Mahmoudi, M. Shahi: Numerical study of mixed convection flows in a square lid-driven cavity utilizing nanofluid, Int. Commun. Heat Mass Transf. 37(1) (2010) 79-90.
[10] H. Nemati, M. Farhadi, K. Sedighi, E. Fattahi, A.A.R. Darzi: Lattice Boltzmann simulation of nanofluid in lid-driven cavity, Int. Commun. Heat Mass Transf. 37(10) (2010) 1528-1534.
[11] A. J. Chamkha, E. Abu-Nada: Mixed convection flow in single- and double-lid driven square cavities filled with water-Al2O3 nanofluid: Effect of viscosity models, Europ. J. Mech. B/Fluids. Available online 19 March 2012.
[12] F. Talebi, A.H. Mahmoudi, M. Shahi, Numerical study of mixed convection flows in a square lid-driven cavity utilizing nanofluid, International Communications in Heat and Mass Transfer 37 (2010) 79–90.
[13] E. Abu-Nada, A.J. Chamkha, Mixed convection flow in a lid-driven inclined square enclosure filled with a nanofluid, European Journal of Mechanics - B/Fluids (29) (2010) 472-482.
[14] M.A.A. Hamad, I. Pop, A.I. Md Ismail, Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate, Nonlinear Analysis: Real World Applications 12 (2011) 1338–1346.
[15] M.A.A. Hamad, Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field, International Communications in Heat and Mass Transfer 38 (2011) 487–492.
[16] B. Ghasemi, S.M. Aminossadati, A. Raisi, Magnetic field effect on natural convection in a nanofluid-filled square enclosure, International Journal of Thermal Sciences 50 (2011) 1748-1756.
[17] R.C.D. Cruz, J. Reinshagen, R. Oberacker, A.M. Segadaes, M.J. Hoffmann, Electrical Conductivity and stability of concentrated aqueous alumina suspensions, Journal of Colloid and Interface Science 286 (2005) 579–588.
[18] H.C. Brinkman, The viscosity of concentrated suspensions and solutions, The Journal of Chemical Physics 20 (1952) 571–581.
[19] H.E. Patel, T. Pradeep, T. Sundararajan, A. Dasgupta, N. Dasgupta, S.K. Das, A microconvection model for thermal conductivity of nanofluid, pramana- journal of physics 65 (2005) 863–869.
[20] S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere Publisher, New York, NY, 1980.
[21] H.K. Versteeg, W. Malalasekera, An   introduction to computational fluid dynamics. The finite volume method, John Wiley & Sons Inc, New York, 1995.