effects of thermal diffusion and chemical reaction on mhd transient free convection flow past a porous vertical plate with radiation, temperature gradient dependent heat source in slip flow regime

An analytical investigation is conducted to study the unsteady free convection heat and mass transfer flow through a nonhomogeneous porous medium with variable permeability bounded by an infinite porous vertical plate in slip flow regime while taking into account the thermal radiation, chemical reaction, the soret number, and temperature gradient dependent heat source. the flow is considered under the influence of magnetic field applied normal to the flow. approximate solutions for velocity, temperature, and concentration fields are obtained using perturbation technique. the expressions for skinfriction, rate of heat transfer, and rate of mass transfer are also derived. the effects of various physical parameters, encountered in the problem, on the velocity field, temperature field, and concentration field are numerically shown through graphs, while the effects on skinfriction, rate of heat, and mass transfer are numerically discussed by tables.