THERMAL DIFFUSION AND ROTATIONAL EFFECTS ON MAGNETO HYDRODYNAMIC MIXED CONVECTION FLOW OF HEAT ABSORBING/GENERATING VISCO- ELASTIC FLUID THROUGH A POROUS CHANNEL

This investigation presents an analytical study on magnetohydrodynamic (MHD), convective flow of a viscoelastic, incompressible, radiative, chemically reactive, electrically conducting and rotating fluid through a porous medium filled in a vertical channel in the presence of thermal diffusion. A magnetic field of uniform strength is applied along the axis of rotation. The fluid is assumed to act on with a periodic time variation of the pressure gradient in upward direction vertically. One of the plates is maintained at non-uniform temperature and the temperature difference of the walls of the channel is assumed high enough that induces heat transfer due to thermal radiation. The analytical solutions are obtained for velocity, temperature and concentration, by solving the dimensionless governing equations using regular perturbation technique. To assess the effects of various parameters involved in the model, two cases of small and large rotations have been considered. Effects of various parameters involved in velocity, temperature, species concentration distributions and the corresponding amplitude and the phase angle of the skin friction, Nusselt number and Sherwood number are shown graphically and discussed in detail.