Transfert convectif dans une cavité totalement ou partiellement occupée par une matrice poreuse en ETL ou HETL

Abstract

In this work, a numerical study of convective heat transfer in confined fluid and porous media was considered. The fluid flow is governed by the Navier–Stokes equations in the fluid region whereas the Darcy–Brinkman–Forchheimer model in the porous region. The finite volume method is used in order to discrete the governing equations, and the SIMPLE algorithm is used to treat the coupling pressure-velocity. Initially, the first application is to examine the effects of the Richardson number (Ri = 0.1, 1, 10) and thermal conductivity ratio (Rk = 0.1, 1, 10, 100) on the heat transfer by conjugate mixed convection and conduction in a lid-driven enclosure with thick vertical porous layer. The left vertical moving wall of enclosure takes two different directions, (upward or downward moving wall). In this study, the compression of isotherms in the porous layer is observed at low conductivity ratio, while at large conductivity ratio, isotherms span the fluid filled part of the enclosure. It is also observed that average Nusselt numbers along the right hot wall and along the fluid-porous layer interface tend to zero at large and low thermal conductivity ratio, respectively. For the second application, we have considered a thermal non-equilibrium approach on natural convection