Thermal characteristics on two immiscible fluid flows in a porous space with time dependent pressure gradient

Abstract

The present investigation deals with the pulsating magnetohydrodynamic flow of two immiscible conducting incompressible viscous fluids in a channel filled with a porous medium, accounting for the thermal radiation effect. The problem is formulated by employing the balance of linear momentum, energy for both phases. The effects of governing flow parameters on the velocities, temperature, and stresses are studied by the perturbation method. Expressions for velocity and the temperature in both regions are obtained. Graphical results for the velocity, temperature distributions for various emerging parameters, and tabulated results for shear-stress and mass flux are presented and discussed.