Combined influence of mass and thermal stratification on double-diffusion non-Darcian natural convection from a wavy vertical wall to porous media

In this study we analyze the combined influence of mass and thermal stratification on non-Darcian double-diffusive natural convection from a wavy vertical wall to a porous media. A finite difference scheme based on the Keller box approach is derived for the boundary layer equations resulting from the use of nonsimilarity transformation on the coupled nonlinear partial differential equations. Extensive numerical simulations are carried out to analyze the influence of wave amplitude a, Grashof number Gr*, thermal stratification parameter S-T, concentration stratification parameter S-C, buoyancy ratio B, and Lewis number Le on the double-diffusive natural convection process. Increasing a and Gr* or decreasing B is seen to favor the heat and mass transport in the porous region thereby reducing the heat and mass fluxes along the vertical heated surface. Increasing S-T or decreasing Le leads to an enhanced mass transfer process. Presence of surface waviness brings in a wavy pattern in the local heat and mass fluxes with decreasing magnitudes in the streamwise direction in the presence of stratification terms.