A NUMERICAL ANALYSIS OF THREE-DIMENSIONAL DARCY MODEL IN AN INCLINED RECTANGULAR POROUS BOX USING S A R TECHNIQUE

In this paper, numerical studies on three- dimensional natural convection in an inclined differentially heated porous box employing Darcy flow model are presented. The relative effects of inertia and viscous forces on natural convection in porous media are examined. The governing equations for the present studies are obtained by setting Da=0 and Fc/Pr = 0 in the general governing equations for Darcy flow description. The system is characterized by Rayleigh number (Ra), two aspect ratios (AR Y, AR Z), and angle of inclination ( φ). Numerical solutions have been obtained by employing the S A R scheme for different values of Rayleigh number (Ra), aspect ratio and angle of inclination. It is found that for the Darcy flow model Nusselt number for 3-D and 2-D are same. Also there exists a critical angle of inclination of the porous box at which the average Nusselt number become maximum i.e. 30° in Darcy flow model.