Peristaltic transport of a Jeffrey fluid in contact with a Newtonian fluid in an inclined channel

The peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid in an inclined symmetric channel is analyzed under the assumptions of long wavelength and low Reynolds number. The channel is inclined at angle of β with the horizontal. This model is useful to understand the two fluid flow behaviors in physiological systems. The velocity field, stream function, interface shape, pressure rise and frictional force at the wall over one cycle of wavelength are obtained and the results are shown graphically. It is observed that the variation of the interface shape gives rise to thinner peripheral region with increasing Jeffrey parameter λ1.