MHD Unsteady Memory Convective Flow through Porous Medium with Variable Suction in the presence of Radiation and Permeability

A free convective unsteady visco-elastic flow through porous medium bounded by an infinite vertical porous plate with variable suction, constant heat flux under the influence of transverse uniform magnetic field along with permeability in the presence of radiation has been investigated in the present study. The suction velocity of the porous medium fluctuates with time about the constant mean. Approximate solutions for mean velocity, transient velocity, mean temperature and transient temperature of non-Newtonian flow are obtained. The effects of various parameters such as Pr (Prandtl number), Gr (Grashof number), M (Hartmann number), ω (frequency parameter) and k (permeability parameter) and F (radiation parameter) on the above are depicted.. Expressions for fluctuating parts of velocity ‘Mr ’ and ‘Mi ’ are found and plotted graphically and effects of different parameters on them are discussed. Skin friction amplitude and phase are shown graphically and discussed in detail