Slip effects on MHD peristaltic transport of a Williamson fluid through a porous medium in a symmetric channel

Abstract

In this paper, we studied the effects of slip and magnetic field on the peristaltic transport of a Williamson fluid through a porous medium in a two-dimensional channel under the assumptions of low Reynolds number and long wavelength. The flow is investigated in a wave frame of reference moving with velocity of the wave. The perturbation series in the Weissenberg number was used to obtain explicit forms for velocity field, pressure gradient per one wavelength. The effects of various pertinent parameters on the pressure gradient and pumping characteristics are discussed through graphs in detail.