Numerical Study of Entropy Generation with Magnetohydrodynamics on Natural Convection in a Porous Medium using Lattice Boltzmann Method

Abstract

The study seeks to presents numerically the heat transfer phenomenon using natural convection in porous media. A square enclosure (cavity) filled with a porous medium simulated through Lattice Boltzmann Method which was used to analysed its effect on Fluid flows. The Darcy Forcheimer model will be adopted to show transfer of heat on the porous media. Magnetic effect is considered by including a magnetic field in they-momentum equation. The effects by various dimensionless parameters on generation of entropy are efficiently analyzed. Results from the investigations show that the Darcy-Forcheimer and magnetic effect both have relevant impact on entropy in a porous medium. The Eckert number affects the energy conversion and dissipation mechanisms, which in turns affect the rate of entropy generation.