Numerical Study of Cross Diffusion Effects on Double Diffusive Convection with Lattice Boltzmann Method

Authors:
Xiaomei Yu;Zhaoli Guo;Baochang Shi
Affiliations:
State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, P.R. China;State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, P.R. China;Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P.R. China
Venue:
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Year:
2007

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Abstract

A lattice Boltzmann model is proposed to asses the impact of variable molecular transport effects on the heat and mass transfer in a horizontal shallow cavity due to natural convection. The formulation includes a generalized form of the Soret and Dufour mass and heat diffusion (cross diffusion) vectors derived from non-equilibrium thermodynamics and fluctuation theory. Both the individual cross diffusion effect and combined effects on transport phenomena are considered. Results from numerical simulations indicate that Soret mass flux and Dufour energy flux have appreciable effect and sometimes are significant. At the same time, the lattice Boltzmann model has been proved to be adequate to describe higher order effects on energy and mass transfer.