Abstract
•Peristaltic flow of a Jeffrey six constants nanofluid has been modeled.•The governing equations are solved analytically by HPM.•Direct relationship between nanoparticles concentration and value of thermophoresis parameter.•Velocity, temperature and frictional forces are decreasing functions of thermophoresis parameter.
Peristaltic flow of non-Newtonian nano fluid through a non-uniform surface has been investigated in this paper. The fluid motion along the wall of the surface is caused by the sinusoidal wave traveling with constant speed. The governing equations are converted into cylindrical coordinate system and assuming low Reynolds number and long wave length partial differential equations are simplified. Analytically solutions of the problem are obtained by utilizing the homotopy perturbation method (HPM). In order to insight the impact of embedded parameters on temperature, concentration and velocity some graphs are plotted for different peristaltic waves. At the end, some observations were made from the graphical presentation that velocity, pressure rise and nano particle concentration are increasing function of thermophoresis parameter Nt while temperature and frictional forces show opposite trend.