Numerical Simulation on Mixed Convection in a Square Lid-Driven Cavity Provided with a Vertical Porous Layer of Finite Thickness

Abstract

The purpose of the paper is to study the steady mixed convection in a square lid-driven cavity provided with a vertical porous layer of finite thickness. The porous layer is assumed to be homogeneous, isotropic, and saturated with incompressible Newtonian fluid. The transport equations are solved using the finite volume method. The SIMPLE algorithm is used to solve the coupled system of governing equations. The power law differencing scheme is used for the formulation of the convection contribution to the coefficients in the finite-volume equations. Central differencing scheme is used to discretize the diffusion terms. The flow parameters for the problem are the permeability of the porous layer and the Grashof number. The results show that the local Nusselt number at the right hot wall (Nu Hot) increases with vertical distance (Y ) for Gr=103 whereas for Gr=104 and 105 it decreases irrespective of Da. It is also observed that for the cases with Gr=104 and 105, Nu Interface displays an increases with the vertical distance (Y ) as Da number decreases, contrary to the heat transfer rate at the right hot wall, Nu Hot.