Heat and mass transfer on MHD rotating flow of a visco-elastic fluid through porous medium with time dependent oscillatory permeability

We discussed the effect of heat and mass transfer on free convective rotating flow of a visco-elastic 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 and heat source. We analyze the effect of time dependant fluctuative suction and permeability of the medium on a visco-elastic fluid flow The coupled nonlinear partial differential equation are turned to ordinary by super imposing a solution with steady and time dependant transient part. Finally, the set of ordinary differential equations is 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 presence of elastic element as well as heat source reduces the skin friction.