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Numerical Study Of Bénard Convection With Temperature-Dependent Viscosity In A Porous Cavity Via Lattice Boltzmann Method

Author

Listed:
  • 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)

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.

Suggested Citation

  • Fumei Rong & Zhaoli Guo & Ting Zhang & Baochang Shi, 2010. "Numerical Study Of Bénard Convection With Temperature-Dependent Viscosity In A Porous Cavity Via Lattice Boltzmann Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(11), pages 1407-1419.
    • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:11:n:s0129183110015920
    DOI: 10.1142/S0129183110015920
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    1. Chen-Charpentier, Benito M. & Dimitrov, Dobromir T. & Kojouharov, Hristo V., 2009. "Numerical simulation of multi-species biofilms in porous media for different kinetics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(6), pages 1846-1861.
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