Two-Layer Flow of Immiscible Non-Newtonian Fluids between Parallel Plates

Abstract

In this Thesis, we consider fluid flow through two parallel plates which is steady, laminar, incompressible, unidirectional and fully developed. The incompressible Oldroyd Six constant fluid is considered.Three flow problems including the Couette flow, Poiseuille flow and Couette-Poiseuille flow are modeled. The differntial equation for each problem is simplified with modified homotopy perturbation method, and thus result is obtained. The solutions are obtained up to second order of approximation for all three types of flows. The results are then presented graphically and the effects of various parameters on the flows are studied. We have observed that the non-Newtonian fluid parameters greatly affect the flow velocities in both the fluid layers.