Exact solutions of the modeling equations of natural convection and mass transfer of MHD fluid flow over an oscillating and translating porous plate

The focus of this study is to analyze the slip flow of heat and mass transfer in an electrical conducting fluid over an oscillatory and translatory porous plate. This analysis is carried out for porous medium in presence of magnetic field. The governing system of PDEs, representing flow, energy and concentration of fluid, are transformed into a system of ODEs. These ODEs are solved analytically and effects of the various physical parameters like translation, magnetic parameter, heat source parameter, Grashof number for heat and mass transfer, permeability parameter, Schmidt number, Prandtl number and suction/injection parameter on the velocity, temperature and concentration profile are discussed in details.