Rotation and Hall Current Effects on MHD Convective Flow of Second Grade Fluid through A Porous Medium in A Porous Vertical Channel in Slip-Flow Regime with Thermal Radiation

An analysis of the magnetohydrodynamic (MHD) unsteady convective flow of a viscoelastic (second grade) fluid through a porous medium filled in a vertical channel is carried out. One of the porous plates of the channelthrough which the fluid is injected is subjected to a slip-flow condition and the other through which the fluid is sucked to a no-slip condition. The pressure gradient in the channel varies periodically with time. The entire system rotates in unison about an axis perpendicular to the planes of the channel plates. The fluid is electrically conducting and a magnetic field of uniform strength is applied along the axis of rotation. The non-uniform temperature difference of the plates is high enough to induce heat radiation. Assuming constant injection/suction at the channel plates, a closed form solution of the equations governing the flow is obtained. The effects of rotation, Hall current, slip-flow parameter, viscoelastic parameter, Grashof number, Reynolds number, permeability of the porous medium etc. are shown graphically on the velocity and skin friction and discussed in detail.