MHD peristaltic flow of non-Newtonian power-law nanofluid through a non-Darcy porous medium inside a non-uniform inclined channel

In this work, we studied the peristaltic motion of steady non-Newtonian nanofluid flow 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. Moreover, the effects of thermal radiation, heat generation, Ohmic dissipation and a uniform external magnetic field are taken in consideration. The governing equations that describe the velocity, temperature and nanoparticles concentration are simplified under the assumptions of long wave length and low-Reynolds number. These equations have been solved numerically by using Runge–Kutta–Merson method with the help of shooting and matching technique. The solutions are obtained as functions of the physical parameters entering the problem. The effects of these parameters on the obtained solutions are discussed and illustrated graphically through a set of figures. It is found that as Brownian motion parameter increases, the axial velocity decreases, whereas the nanoparticles concentration increases and it has a dual effect on the temperature distribution. Moreover, the axial velocity and temperature increase as Prandtl number increases, while the nanoparticles decrease.