Thermo-Diffusion and Diffusion-Thermo Effects on MHD Convective Flow Past an Impulsively Started Vertical Plate Embedded in Porous Medium

This study introduces an analytical solution for the unsteady MHD free convection and mass transfer flow past a vertical plate embedded in porous medium, taking into account the Soret and Dufour effects. Initially, the perturbation method is employed to decouple the equations resulting from the coupling of the Soret and Dufour effects. Subsequently, the Laplace Transform Technique is applied to solve the governing equations. The expressions for velocity, temperature, concentration, skin-friction, Nusselt, and Sherwood numbers are derived. The effects of the main parameters are discussed, revealing that an increase in the Soret number leads to a decrease in temperature while increasing velocity and concentration. Similarly, the Dufour parameter causes an increase in temperature and velocity, while concentration decreases. However, the effect of the Dufour and Soret parameters on velocity does not show a significant difference.