Slip effects on the unsteady radiative MHD free convection flow over a moving plate with mass diffusion and heat source

General solutions for the dimensionless velocity corresponding to the unsteady radiative MHD free convection flow of an incompressible viscous fluid over a moving plate with mass diffusion and slip/no-slip conditions are established by combining the Laplace transform technique with the homotopy perturbation method. Internal dissipation is neglected but the heat absorption/generation and Soret effects are considered. The results that have been obtained can generate exact solutions for any motion with technical relevance of this type. Three special cases are considered and some known results from the literature are recovered. Influence of slip parameter and of some pertinent parameters on the fluid motion is graphically underlined and discussed in the case of the uniform velocity of the plate. The required time to reach the steady state for motions due to sine and cosine oscillations of the plate is also determined.