An Unsteady Flow of Two Immiscible Viscous Fluids in Porous Medium Between two Impermeable Parallel Plates, Impulsively Stopped From Relatively Motion

Abstract

In the present paper an unsteady receding flow of two immiscible viscous incompressible fluids through a porous medium bounded between two impermeable plates is investigated. The flow is generated by the motion of one of the plates with a constant velocity parallel to other while the other plate is kept at rest. After attaining the steady state flow, the moving plate is suddenly stopped and the partial differential equations governing subsequent receding flow are solved by variable separable method to study hydrodynamic properties of the fluids. Separate expressions for fluid velocity and shear stress in both regions are obtained. Variations in fluid velocities and shear stress with time, porosity parameter, viscosity ratio and width of channel are presented graphically.