NUMERICAL STUDY OF BÉNARD CONVECTION WITH TEMPERATURE-DEPENDENT VISCOSITY IN A POROUS CAVITY VIA LATTICE BOLTZMANN METHOD

Fumei Rong (), Zhaoli Guo, Ting Zhang and Baochang Shi ()
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Fumei Rong: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
Zhaoli Guo: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
Ting Zhang: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
Baochang Shi: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 11, 1407-1419

Abstract: In this paper, the heat transfer characteristics of a two-dimensional steady Bénard convection flow with a temperature-dependent viscosity are studied numerically by the lattice Boltzmann method (LBM). The double-distribution model for LBM is proposed, one is to simulate incompressible flow in porous media and the other is to solve the volume averaged energy equation. The method is validated by comparing the numerical results with those existing literature. The effect of viscosity dependent on temperature is investigated. The average Nusselt numbers for the cases of exponential form of viscosity-temperature and effective Rayleigh number based on average temperature(Tref= 0.5 (Th+Tc))are compared. A new formula of reference temperature(Tref= Tc+f (b) (Th-Tc))is proposed and the numerical results show that the average Nusselt numbers predicted by this method have higher precision than those obtained by average temperature.

Keywords: Bénard convection; variable viscosity; porous media; lattice Boltzmann method; 44.30.+v; 47.11.-j; 47.56.+r (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015920

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