Influence of slip and convective boundary conditions on peristaltic transport of non-Newtonian nanofluids in an inclined asymmetric channel

Abstract

In this study, we investigate a peristaltic transport of nano-hyperbolic tangent fluid in an inclined asymmetric channel with convective boundary conditions. Two types of nanoparticles are considered, namely, the copper and aluminum oxide. Mathematical modeling is carried out by using a long wavelength and low Reynolds number assumptions. The governing equations of the problem are solved analytically by a perturbation technique with small Weissenberg number. Through graphs, we analyze the effects of the nanoparticles volume fraction parameter, slip parameter, Biot number along with the other pertinent parameters on the stream function, axial velocity, pressure rise per wavelength, temperature and Nusselt numbers. It was found that the copper and aluminum oxide nanoparticles have almost insignificant effect on the axial velocity field and the heat transfer coefficients. However, the retrograde pumping rate decreases with increasing a,B and n while this behavior is reversed for the cases of peristaltic and copumping. Furthermore, the pressure rise per wavelength does not show a significant change with an increase in We in the presence of copper and aluminum oxide nanoparticles.