Slip Effects on the Peristaltic Flow of a Carreau Fluid in a Planar Channel under the Effect of a Magnetic Field

In this paper, we studied the effects slip on the peristaltic flow of a Carreau fluid 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.