Peristaltic Motion of a Generalized Newtonian Fluid Through a Porous Medium

Abstract

In this paper, peristaltic motion of an incompressible non-Newtonian fluid through a porous medium is studied in a two-dimensional uniform channel with a sinusoidal wave using long wave approximation. The problem is formulated and analyzed using a perturbation expansion in terms of a variant of the Weissenberg number. Carreau flow is considered in this study to investigate the influence of porous medium. An analytic forms for axial velocity component and pressure gradient have been obtained. Moreover, the pressure rise and friction force were computed numerically. It has been shown that the pressure rise increases as the permeability decreases. Further, it is noted that both pressure rise and friction force does not depend on permeability parameter at a certain value of flow rate. The results were studied for various values of the physical parameters of interest.