Soret and heat generation effects on MHD Casson fluid flow past an oscillating vertical plate embedded through porous medium

Analytical solution of thermal diffusion and heat generation effects on MHD Casson fluid flow past an oscillating vertical plate embedded through porous medium in the presence of thermal radiation and chemical reaction is obtained. Ramped wall temperature with ramped surface concentration, isothermal temperature with ramped surface concentration and isothermal temperature with constant surface concentration are taken into account. The governing non-dimensional equations are solved using Laplace transform technique and the solutions are presented in closed form. In order to get a perfect understanding of the physics of the problem we obtained numerical results using Matlab software and clarified with the help of graphical illustrations. With the help of velocity, temperature and concentration, Skin friction, Nusselt number and Sherwood number are obtained and represent through tabular form. Casson parameter is inversely proportional to the yield stress and it is observed that for the large value of Casson parameter, the fluid is close to the Newtonian fluid where the velocity is less than the non-Newtonian fluid. The intensification in values of Soret number produces a raise in the mass buoyancy force which results an increase in the value of velocity.