Analytical investigation of MHD radiative Heat and Mass Transfer of Casson fluid over a rotating inclined plate in Porous Media with Hall, chemical reaction and Soret Effects

This study presents an Analytical investigation of unsteady magnetohydrodynamic (MHD) heat and mass transfer in a rotating Casson fluid flow over an isothermal inclined stretching plate embedded in a porous medium. The effects of Hall current, Soret diffusion, thermal radiation, and chemical reaction are incorporated. The Casson fluid is assumed to be viscous, incompressible, non-Newtonian, and electrically conducting. An analytical solution is obtained using a perturbation technique to evaluate the velocity, temperature, and concentration distributions. The influence of governing parameters is illustrated graphically, and numerical values of skin friction, Nusselt number, and Sherwood number are reported. The results indicate that increasing Hall and Soret parameters enhances fluid velocity due to intensified thermal and solutal buoyancy forces, whereas higher chemical reaction rates reduce concentration levels within the boundary layer. Skin friction decreases with increasing Prandtl number, Hall current, and solutal buoyancy, while it increases with rotation, chemical reaction, and mass diffusion effects.