Influence of MHD on Peristaltic Flow of Couple-Stress Fluid Through a Porous Medium with Slip Effect

Abstract

This  paper investigates the  influence of MHD on a peristaltic flow of Newtonian fluid with couple stress through porous medium, where the no-slip assumption between  wall and the fluid is no longer valid. Along wavelength approximation and low Reynolds number are used in the flow analysis. The flow is considered in the  wave frame of reference moving with the velocity of the wave. Analytical solution for axial velocity, pressure gradient, frictional force, stream function, magnetic field are obtained. Effects of different physical parameters, reflecting couple-stress parameter, permeability parameter, slip parameter, Hartman  number, as well as amplitude ration on pumping characteristics and frictional force, stream lines pattern and trapping of peristaltic flow pattern studied with particular emphasis. This study are discussed through graphs.

Keywords:  Peristaltic Transport, Couple-Stress,  Magnetic Field, Newtonian Fluid, Porous Medium, Reynolds Number.