Electro-osmosis and coupled stress effect on peristaltic power-law fluid flow with gold nanoparticles through a non-Darcy porous medium

Abstract

Abstract In this work, we studied the electro-osmotic peristaltic motion of nano-coupled stress fluid with heat transfer through a non-uniform inclined channel. The flow in this discussion obeys the power-law model through a non-Darcy porous medium. The system is stressed by an external magnetic field. Moreover, the effects of thermal radiation, heat generation, Ohmic dissipation and chemical reaction are taken in consideration. The governing equations that describe the velocity, temperature and nanoparticles concentration are simplified under the assumption of long wavelength and low-Reynolds number. The resulting system of partial differential equations is solved numerically. The effects of the physical parameters of the problem with these solutions are discussed and illustrated through a set of figures. It is found that the axial velocity profiles decrease with the raising of electro-osmotic parameter.