An Oscillatory MHD Convective Flow in a Vertical Channel Filled With Porous Medium With Hall and Thermal Radiation Effects

An oscillatory unsteady MHD convective flow in a vertical channel filled with porous medium in the presence of Hall and thermal radiation effects have been studied. A magnetic field of uniform strength is applied perpendicular to the planes of the channel walls. The fluid is acted upon by a periodic variation of the pressure gradient in the vertically upward direction. The temperature of one of the channel walls is non-uniform and the temperature difference of the walls of the channel is high enough to induce heat transfer due to radiation. An exact analytical one dimensional transient solution of the problem is obtained in closed form. The velocity field, the fluid temperature, the rate of heat transfer and the shear stresses are shown graphically and discussed in detail. Graphical results for the Hall parameter reveal that it has significant influence on the velocity profiles. The radiation has a tendency to retard the fluid velocity components. Porosity of the medium has a tendency to enhance the fluid velocity components.