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arXiv · 1308.2071

A multiple-relaxation-time lattice Boltzmann model for convection heat transfer in porous media

Qing Liu·Ya-Ling He·Qing Li·Wen-Quan Tao
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Abstract

In this paper, a two-dimensional (2D) multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is developed for simulating convection heat transfer in porous media at the representative elementary volume scale. In the model, a MRT-LB equation is used to simulate the flow field, while another MRT-LB equation is employed to simulate the temperature field. The effect of the porous media is considered by introducing the porosity into the equilibrium moments, and adding a forcing term to the MRT-LB equation of the flow field in the moment space. The present MRT-LB model is validated by numerical simulations of several 2D convection problems in porous media. The numerical results are in good agreement with the well-documented data reported in the literature.

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Qing Liu, Ya-Ling He, Qing Li, Wen-Quan Tao. 2013-11-28. A multiple-relaxation-time lattice Boltzmann model for convection heat transfer in porous media. https://arxiv.org/abs/1308.2071

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