Eur. Phys. J. Plus (2020) 135: 348
https://doi.org/10.1140/epjp/s13360-020-00331-w

Regular Article

Electro-kinetically modulated peristaltic transport of multilayered power-law fluid in an axisymmetric tube

Department of Mathematics and Statistics, International Islamic University, Islamabad, 44000, Pakistan

^* e-mail: sadaqatkhan366@gmail.com

Received: 13 January 2020
Accepted: 13 March 2020
Published online: 6 April 2020

Abstract

The objective of this paper is to investigate three-layered flow of power-law fluid driven by peristaltic activity and electro-osmotic phenomenon. The flow problem is modeled by invoking long wavelength and low Reynolds number constraints. Closed-form expressions of stream function are obtained for each region. The interfaces between core and intermediate and intermediate and peripheral regions are computed by solving a system of nonlinear equations numerically and displayed graphically. Pressure rise, mechanical efficiency and trapping phenomena are also evaluated by varying the involved parameters. The results show that peristaltic pumping may alter by applying external electric fields. The present study generalizes many of the available studies on multi-phase peristaltic transport. This theoretical analysis may be applicable to electro-kinetic multilayered blood transport in microvascular system. It may also be helpful for designing and developing of biochips and other electro-osmotic biological micro-electromechanical devices.