Effect of Slip Velocity on Peristaltic Transport of a Magneto-Micropolar Fluid Through a Porous Non-uniform Channel

Abstract

In this paper we have investigated the effect of slip velocity on peristaltic transport of a physiological fluid through a porous non-uniform channel under the long wave length and low-Reynolds number assumptions. We analyzed the flow characteristics of incompressible, viscous, electrically conducting micropolar fluid (a non-Newtonian fluid model). The analytical expressions for the axial velocity, microrotation component, stream function as well as the pressure gradient are obtained. The flow phenomena for the pumping characteristics, trapping and reflux are furthermore investigated. The results presented here reveal that the central line velocity decreases with the increase of magnetic field strength as well as the slip parameter. Again the velocity increases with the increase of porous permeability parameter. Moreover the trapping fluid can be eliminated with a considerable extent by the application of an external magnetic field as well as by increasing the slip parameter. Thus the study bears the promise to keep important applications in physiological systems.