Thermal and hydraulic properties of sphere packings using a novel lattice Boltzmann model

Abstract

A novel LB model is introduced to deal with the thermal and hydraulic properties in porous media. The pressure and density are separated in the proposed incompressible LB model and solid volume fraction is embedded in the formulations. Moreover, a modified thermal LB model is proposed that is shown to be more accurate than the Gue’s type of models. This model treats the energy equation with the second order of accuracy without any additional terms. The model is employed in a packing of monodisperse spherical particles within a rectangular channel. The results of new model have been improved as compared to the analytical solution.