Eur. Phys. J. Plus (2014) 129: 123
https://doi.org/10.1140/epjp/i2014-14123-2

Regular Article

Peristaltic impulsion of MHD biviscosity fluid in a lopsided channel: Closed-form solution

¹ DBS&H CEME, National University of Sciences and Technology, Islamabad, Pakistan
² School of Mathematical Sciences, Peking University, 100871, Beijing, P.R. China
³ Department of Mathematics, University of Malakand, Dir (Lower), Khyber Pakhtunkhwa, Pakistan
⁴ Department of Mathematics, Quaid-i-Azam University 45320, 44000, Islamabad, Pakistan

Received: 3 April 2014
Revised: 12 May 2014
Accepted: 12 May 2014
Published online: 20 June 2014

Abstract

In this article, we investigated the MHD peristaltic flow of a biviscosity fluid in an asymmetric channel. The momentum governing coupled equations are constructed under long wavelength and low-Reynolds-number approximation. An exact solution is found for the Navier-Stokes equations obtaining stream function and pressure gradient in a closed form. The flow behavior is analyzed through the effects of the governing parameters, such as the upper limit apparent viscosity coefficient , the Hartmann number M and amplitudes , a, b and d on pressure rise, velocity, pressure gradient and subsequently on streamlines.