Impact of Varying Viscosity with Hall Current on Peristaltic Flow of Viscoelastic Fluid through Porous Medium in Irregular Microchannel

Abstract

In this article the peristaltic transport of viscoelastic fluid through irregular microchannel under the effect of Hall current, varying viscosity and porous medium is investigated. The mathematical expressions for the basic flow equations of motion are formulated and transformed into a system of ordinary differential equations by utilizing appropriate non dimensional quantities. The exact solution for the temperature distribution is obtained, while perturbation series solution for the stream function in terms of tiny viscosity parameter is used. Graphical illustrations are presented to capture the physical impact of embedded parameters in the fluid flow i.e. the fluid velocity field, temperature distribution, pressure rise, and trapped bolus. The study shows the opposite effect for Hall current parameter with the magnetic parameter on the flow characteristics.