Influence of heat transfer on peristaltic transport of a Johnson–Segalman fluid in an inclined asymmetric channel

In the present study, we have analyzed the interaction of peristalsis with heat transfer for a Johnson–Segalman fluid in an inclined asymmetric channel under the supposition of long wave length. A regular perturbation method is used to obtain the analytical solutions for the stream functions and temperature fields. The expressions for the pressure rise, frictional force, and the relation between the flow rate and pressure gradient are obtained. The results are plotted and analyzed for different values of channel width d, Weissenberg W e , wave amplitude a, b, Froud number F r , amplitude ratio ϕ, inclination angle sin α , Eckert number E c and Prandtl number P r .