Thermal Lattice Boltzmann Model for Natural Convection in an Inclined Cavity Packed with Porous Material

Abstract

Abstract:In the present work, the LBM (Lattice-Boltzmann method) is used to simulate natural convection in an inclined open ended square cavity filled with porous material. The cavity is submitted to heating and cooling from two opposite sides with constant temperatures. The double-population approach is used to simulate hydrodynamic and thermal fields. The effect of a porous medium is taken into account by introducing the porosity into the equilibrium distribution function and adding a force term to the evolution equation. The Brinkman-Forchheimer equation, which includes the viscous and inertial terms, is applied to predict the heat transfer and fluid dynamics in the non-Darcy regime. The present model is validated with the previous literature. A comprehensive parametric study of natural convective flows is performed for various values of inclined angle.