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
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014