Slip Effects on the Creeping Flow of a Couple Stress Fluid Through a Uniformly Porous Walled Channel

Abstract

We evaluated the problem of slip effects on the creeping flow of couple stress fluid through uniformly porous walled channel. The problem is solved by an approach known as inverse method approach. First of all we converted the given equation into compatibility equation. We transformed the single problem into two sub-problems. We solved these two sub-problems one by one with their corresponding boundary conditions. The value of stream function is obtained with the help of inverse method. Then we calculated all physical quantities including axial pressure, volume flow rate, mean volume flow rate, pressure distribution, mean pressure, leakage flux and velocity components.