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

TL;DR

This paper introduces a novel two-dimensional multiple-relaxation-time lattice Boltzmann model for simulating convection heat transfer in porous media, effectively incorporating porosity and forcing effects at the representative elementary volume scale.

Contribution

The paper develops a new MRT-LB model that accurately simulates flow and heat transfer in porous media, including porosity effects and forcing terms, validated against existing data.

Findings

Model accurately predicts convection heat transfer in porous media.

Numerical results agree well with literature data.

Effective incorporation of porosity and forcing in MRT-LB model.

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.