MHD free convective non-Newtonian Casson fluid flow over an oscillating vertical plate

The goal of this investigation is to examine magnetohydrodynamic​ natural convective, mass and heat transfer, performing non-Newtonian Casson fluid flow through an oscillating straight up permeable plate with the existence of thermal diffusion (Soret). Finite element approach (FEM) is implemented to overcome non-dimensional PDEs for distribution of velocity, temperature & concentration of Casson fluid by the impact of different dimensional variables. Local skin-frication, heat and mass transfer rate are often extracted as well as analyzed by graphical ways. The analysis shows that the concentration and velocity of Casson fluid are increased as an enhancement of Soret number. Velocity of Casson fluid increased as an increment of Grashof numbers for heat and mass transfer. Additionally, the flow velocity decreases with the rising values of Casson fluid, phase angle and magnetic field parameters however it enhances with the rising of permeability parameter. Furthermore, the temperature profiles diminished with the growing of Prandtl number. The solutions of the present investigation have been compared with the existing literature in certain circumstances and great agreement were achieved.