Abstract
ABSTRACT The present study considers an analytical investigation of unsteady MHD freeThe present study considers an analytical investigation of unsteady MHD freeconvection flow of a viscoelastic, incompressible, electrically conducting fluid past a verticalporous plate through a porous medium with time dependent oscillatory permeability and suctionin presence of a uniform transverse magnetic field. Then effects of radiation, heat generation/absorption, radiation absorption and homogeneous chemical reaction are c onsidered. The noveltyof the present study is to analyze the effect of time dependent fluctuate suction and permeabilityof the medium on a viscoelastic fluid flow in the presence of radiation, heat generation/ absorption,radiation absorption and chemica l reaction. The coupled nonlinear partial differential equationsare 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 theinadequacy of boundary condition. Elasticity of the fluid and the Lorentz force reduce the velocityand it is more pronounced in case of heavier species. Most interesting observation is the fluctuationof velocity appears near the plate due to the presence of sink and presences of elastic element aswell as heat source reduce the skin friction.
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