Simulation of conjugate radiation–forced convection heat transfer in a porous medium using the lattice Boltzmann method

Abstract

In this paper, a lattice Boltzmann method<br>is employed to simulate the conjugate radiation–<br>forced convection heat transfer in a porous medium.<br>The absorbing, emitting, and scattering phenomena<br>are fully included in the model. The effects of different<br>parameters of a silicon carbide porous medium<br>including porosity, pore size, conduction–radiation<br>ratio, extinction coefficient and kinematic viscosity<br>ratio on the temperature and velocity distributions are<br>investigated. The convergence times of modified and<br>regular LBMs for this problem are 15 s and 94 s,<br>respectively, indicating a considerable reduction in the<br>solution time through using the modified LBM.<br>Further, the thermal plume formed behind the porous<br>cylinder elongates as the porosity and pore size<br>increase. This result reveals that the thermal penetration<br>of the porous cylinder increases with increasing<br>the porosity and pore size. Finally, the mean temperature<br>at the channel output increases by about 22% as<br>the extinction coefficient of fluid increases in the range<br>of 0–0.03.