Unsteady MHD Free Convection Flow Characteristics of a Viscoelastic Fluid Past a Vertical Porous Plate

The present study considers an analytical investigation of unsteady MHD free convection flow of a viscoelastic, incompressible, electrically conducting fluid past a vertical porous plate through a porous medium with time dependent oscillatory permeability and suction in presence of a uniform transverse magnetic field. Then effects of radiation, heat generation/ absorption, radiation absorption and homogeneous chemical reaction are considered. The novelty of the present study is to analyze the effect of time dependent fluctuate suction and permeability of the medium on a viscoelastic fluid flow in the presence of radiation, heat generation/ absorption, radiation absorption and chemical reaction. The coupled nonlinear partial differential equations are turned to ordinary by super imposing solutions with steady and time dependent transient part. Finally, the set of ordinary differential equations are solved with a perturbation scheme to meet the inadequacy of boundary condition. Elasticity of the fluid and the Lorentz force reduce the velocity and it is more pronounced in case of heavier species. Most interesting observation is the fluctuation of velocity appears near the plate due to the presence of sink and presences of elastic element as well as heat source reduce the skin friction.