Numerical analysis of convection conduction and radiation using a non-equilibrium model in a square porous cavity

Abstract Numerical analysis of heat transfer by convection, conduction and radiation in a saturated porous medium enclosed in a square cavity is investigated using a thermal non-equilibrium model. The flow is assumed to follow Darcy law. The governing partial differential equations are non-dimensionalised and solved numerically using finite element method. The left vertical surface of the square cavity is maintained at an isothermal temperature T h and the right vertical surface at T c such that T c T h . The top and bottom surfaces of the cavity are assumed to be adiabatic. Results are presented in terms of Nusselt number for fluid, Nusselt number for solid and total Nusselt number, for various parameters such as inter-phase heat transfer coefficient, modified conductivity ratio, radiation parameter and Rayleigh number.