Concentration-dependent viscosity effect on magnetonano peristaltic flow of Powell-Eyring fluid in a divergent-convergent channel

Abstract

The viscosity of fluids has an essential role in blood circulation through veins and arteries. So, this paper focuses on the influences of dependent-viscosity on the peristaltic flow of Powell-Eyring fluid in a divergent-convergent channel. Viscosity is supposed to vary with the temperature and concentration fluid. A theoretical relation to the concentration-dependent viscosity is introduced mathematically for the Powell-Eyring nanofluid for the first time in our literature. The formulation of the model contains a highly nonlinear system of PDEs that converted to ODEs by physical assumptions to low Reynolds number and long wavelength. A semi-analytical solution was obtained in different theoretical cases of the divergent-convergent channel using the generalized differential transform method (GDTM). Results for velocity profile, temperature distribution, and concentration distribution as well as extra stress tensor profile versus various values flow parameters have been constructed. Results show that the variation parameters of viscosity α, and β can control with flow velocity at each part of channel wall making them improve/get better the blood circulation in veins (Circulatory system). Furthermore, the concentration-dependent viscosity parameter increases the temperature distribution of fluid while it declines the nanoparticle diameter of fluid.