Heat and mass transfer on unsteady MHD second grade fluid flow through porous medium past a vertical plate

We have considered the unsteady MHD flow through a loosely packed porous medium in an impulsively started vertical plate with variable heat and mass transfer. The temperature of plate is made to rise linearly with time. The fluid considered is gray, absorbing-emitting radiation but a non-scattering medium. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The velocity, skin friction, Nusselt number and Sherwood number are obtained and computationally discussed for different governing parameters like radiation parameter, Schmidt number, Thermal Grashof number, mass Grashof number, magnetic field parameter, porous parameter and Prandtl number with the combination of the other flow parameters are illustrated graphically, and physical aspects of the problem are discussed.