Multiple-Relaxation-Time Lattice Boltzmann Model for Flow and Convective Heat Transfer in Channel with Porous Media

Abstract

In this paper, we investigate numerically the flow field and heat transfer of a Newtonian fluid flowing within a horizontal channel, partially filled with a porous medium. A thin deflector, considered as adiabatic, is inserted inside the channel to control the flow of the convective fluid. This numerical study is based on the multiple-relaxation-time Lattice Boltzmann method (MRT-LBM). The two-dimensional nine-velocity (D2Q9) model is adopted to solve the flow field, while the two-dimensional five-velocity (D2Q5) model is developed to solve the temperature field. A parametric study is carried out according to the Darcy number (10−1 ≤ Da ≤ 10−5), the Reynolds number (20 ≤ Re ≤ 600), the thickness of the porous substrate (0.1 ≤ S ≤ 0.8),the thickness of the deflector and its location (0.1 ≤ D ≤ 0.8 and L/4 ≤ xi ≤ 3L/4). The obtained results show the important effect of these parameters, which cannot be neglected, on both flow and the heat transfer structure, within this kind of channels.