NUMERICAL MODELING AND SIMULATION OF NATURAL-CONVECTION BOUNDARY-LAYER FLOW ALONG A VERTICAL WAVY SURFACE IN A DOUBLY STRATIFIED NON-DARCIAN POROUS MEDIUM WITH SORET AND DUFOUR EFFECTS

In this paper, we study the natural-convection heat and mass transfer induced by a vertical wavy surface immersed in a fluid saturated with a doubly stratified non-Darcian porous medium. In particular, we determine the Soret and Dufour effects on the double diffusive convective process. A finite difference scheme based on the Keller box approach has been derived for the proposed mathematical model. The effect of the governing parameters like the wavy wall amplitude (a), buoyancy ratio (B), Lewis number (Le), Soret (S-r) and Dufour (D-f) numbers, Grashof number (Gr*), thermal (S-T) and mass (S-C) stratification values on heat and fluid flow characteristics are analyzed. The obtained results are presented graphically for the local/average Nusselt and Sherwood number plots in all cases. Increasing surface roughness, inertial forces, and thermal/mass stratification levels are seen to reduce the local/average Nusselt and Sherwood number values.