Soret and Dufour effects on Double-Diffusive Free Convection From a Corrugated Vertical Surface in a Non-Darcy Porous Medium

Combined heat and mass transfer process by natural convection from a wavy vertical surface immersed in a fluid-saturated semi-infinite porous medium due to Soret and Dufour effects for Forchheimer extended non-Darcy model has been analyzed. A similarity transformation followed by a wavy to flat surface transformation is applied to the governing coupled non-linear partial differential equations, and they are reduced to boundary layer equations. The obtained boundary layer equations are solved by finite difference scheme based on the Keller-Box approach in conjunction with block-tridiagonal solver. Detailed simulations are carried out for a wide range of parameters like Groshof number (Gr*), Lewis number (Le), Buoyancy ratio (B), Wavy wall amplitude (a), Soret number (S _r ), and Dufour number (D _f ). Comparison tables local and average Nusselt (Nu) number, local and average Sherwood (Sh) number plots are presented.