Numerical study of thermal convection in a porous medium

This study is dealing with the numerical simulation of natural convection, in a cubic shaped cavity. The surrounding walls are partially porous, homogeneous, and isotropic. The horizontal walls are adiabatic. The vertical walls of the cavity are maintained at constant temperatures (Dirichlet's boundary conditions), and the fluid is the air. The flow in the porous environment is modeled by Darcy-Brinkman-forchheimer model. The finite volumes are used for the resolution of the equation of continuity, momentum and energy. The obtained results were reported to the following: Rayleigh number, Darcy number, and dimensionless thickness of the porous layer and the Nusselt number. The obtained results show that the increase is proportional to the increase of Rayleigh and Darcy numbers and proportionally inverted with dimensional thickness of the porous layer. © 2019 Lavoisier. All rights reserved.