Key words: Numerical method, Entropy generation, porous media, mixed convection, Darcy, Brinkman.

Abstract: This work deals with the numerical study of mixed convection in a saturated porous medium which is enclosed in horizontal channel. A laminar flow model for mixed convection with porous media is the focus of this work. The porous media is modeled through the Brinkman-extended Darcy’s equation. The Boussinnesq-Oberbek approximation is used to simulate the effects of mixed convection. The Control Volume Finite Element Method is used to elaborate the computational code. Then, Implicit Alternates Directions method is used for solving the governing equations. The coupled pressure-velocity is treated by using the SIMPLER algorithm. The effect of the Prandtl, the modified Brinkman, the Darcy and the Raleigh numbers on the total entropy generation as well as on averaged Nusselt number are studied.