Laminar unsteady magnetohydrodynamic flow of Newtonian nongray optically thin fluid through porous medium between two concentric vertical cylinders

Abstract

AbstractThis paper addresses the effects of porous medium in magnetohydrodynamic unsteady flows of the viscous nongray optical thinner liquid between two infinitely concentric perpendicular cylinders under the influence of time reliant periodical pressure gradients with respect to the an azimuthal direction applied magnetic domain. The effects of the thermally radiating as well as periodical walls temperatures are also taken into consideration. The governing nondimensional equations were altered into ordinary differential equations and these were then resolved in the expressions of the modified Bessels functions. The impacts of the different parameters on the velocity, temperature, skin frictions, and the rates of temperature transfers near the surfaces of the cylinders were evaluated computationally as well as these are discussed graphically. This was found that, the velocity of the fluid augments by an amplifying in penetrability of the absorbent medium. The buoyancy forces reasons the liquid flow to accelerated, and thereby causing the mass efflux to enhance proportionally. The reductions into fluid temperature are straight proportionate to the diminution into the thermal diffusivity. The current computations were reliable with those of the existing study in the limiting cases.