Affiliations: [a] Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt | [b] Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
Abstract: We analysed Soret and Dufour effects on peristaltic flow of magnetohydrodynamic (MHD) non-Newtonian nanofluid in a uniform symmetric channel with wall properties. Moreover, we involved effects of Joule heating, chemical reaction. Furthermore, we considered Brownian motion and thermophoresis. Then, we simplified the governing equations to a system of partial differential equations by applying low Reynolds number and long wavelength approximations and we solved them by using Homotopy Perturbation Method (HPM). We sketched the influence of various parameters on the stream function, velocity, temperature and nanoparticles concentration in graphs and we discussed them physically. Also, we obtained graphs for heat transfer coefficient, skin friction coefficient, Nusselt number and Sherwood number at the upper wall of the channel. Finding revealed that as the wall proprieties parameters E1 and E2 increased the velocity and temperature increased, but the stream function increased and decreased. While, Bingham number Bn had an opposite relative to the wall proprieties parameters E1 and E2.
