Multiparameter Perturbation Analysis of Unsteady Oscillatory Magnetoconvection in Porous Media with Heat Source Effects

Unsteady natural convection flow of a viscous, incompressible, electrically conducting fluid past an infinite vertical porous plate embedded within a saturated, highly porous medium under the influence of a uniform magnetic field, Eckert heating, and a heat-absorbing sink is studied. It is assumed that the suction velocity is subjected to small-amplitude oscillations in time about the steady nonzero mean suction velocity. Approximate solutions for the velocity and temperature field are obtained using the multiparameter perturbation technique. Expressions for skin friction and rate of heat transfer are also derived. Mean temperatures are boosted by both magnetic field and heat-source parameter, but are lowered by a rise in the Prandtl number, Grashof number, and permeability parameter (k). The effects of all parameters on velocity, temperature, skin friction, and heat transfer rate (Nusselt number) are graphically presented and tabulated, and are discussed in detail. The model finds applications in nuclear heat transfer processes, metallurgy, aerospace/ naval propulsion, and energy systems.