Viscous Dissipation Effects on Thermodynamics Irreversibility in Mixed Convective Heat Transfer in a Lid-Driven Porous Cavity

This paper reports a numerical study about the viscous dissipation effect on steady sate of mixed convection in lid-driven porous square cavity. The analysis is performed using Darcy–Brinkman formulation with the Boussinesq approximation. The set of coupled equations of conservation of mass, momentum and energy are solved using the Control Volume Finite Element numerical method (CVFEM).  The viscous dissipation model of Al-Hadhrami is used in this investigation and its expression is injected in the energy equation as a source term. Effects of viscous dissipation on thermal and Darcy viscous entropies generations are investigated. It was found that the heating effect, by viscous dissipation, significantly affects the thermodynamics irreversibility in the porous medium. Mainly more, results reveal that heat transfer irreversibility dominates for all Darcy number when viscous dissipation effect is taken into account.