Investigation of Williamson nanofluid in a convectively heated peristaltic channel and magnetic field via method of moments

Abstract

The study of Williamson nanofluid under peristaltic pumping is conducted in this work. The model equations are developed using the magnetic field and convection effects, and consequently, a nonlinear system of ordinary differential equations is achieved. Then, the residual method based on a linearly independent set of functions known as method of moments is implemented and portrayed as the results under the parameters’ variations. The model results revealed that the peristaltic pumping can be controlled by increasing the values of Gr and Gc; however, the dual effects of the directed magnetic field on the movement of Williamson fluid are examined. The heat transfer augmentation is observed for a stronger Brinkman number and it is higher toward the channel walls. Similarly, the thermophoretic effect and Brownian motion of the particles highly affect the concentration of Williamson nanofluid.