Electromagnetohydrodynamic (EMHD) peristaltic flow of solid particles in a third-grade fluid with heat transfer

¹ Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University Shanghai 200072, P.R. China
² Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
³ Department of Mathematics, Faculty of Science, Taibah University, Madinah Munawwarah, Saudi Arabia

^a Corresponding author: muhammad09@shu.edu.cn

Received: 22 May 2016
Accepted: 29 October 2016

Abstract

In this article, the Electromagnetohydrodynamic (EMHD) flow with heat transfer on third-grade fluid containing small particles has been investigated. The influence of thermal radiation are also taken under considerations. An external vertical magnetic field and horizontal electric field is applied while the induced magnetic field is very small and assumed to be negligible here. Long wavelength and zero Reynolds number approximation have been used to simplify the governing flow problem. The resulting highly nonlinear coupled ordinary differential equations are solved analytically with the help of perturbation method. The influence of all the pertinent parameters is discussed with the help of graphs for velocity profile, temperature profile, and pressure rise. Numerical computation has also been used to determine the expression for pressure rise. Trapping mechanism is also discussed with the help of streamlines.