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Abstract and Applied Analysis
Volume 2014, Article ID 896121, 11 pages
http://dx.doi.org/10.1155/2014/896121
Research Article

Magnetic Field and Gravity Effects on Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel

1Mathematics Department, Faculty of Science, Taif University, Taif 888, Saudi Arabia
2Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt
3Mathematics Department, Faculty of Science, SVU, Qena 83523, Egypt

Received 12 January 2014; Accepted 19 February 2014; Published 13 April 2014

Academic Editor: Juntao Sun

Copyright © 2014 A. M. Abd-Alla et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper, the peristaltic flow of a Jeffrey fluid in an asymmetric channel has been investigated. Mathematical modeling is carried out by utilizing long wavelength and low Reynolds number assumptions. Closed form expressions for the pressure gradient, pressure rise, stream function, axial velocity, and shear stress on the channel walls have been computed numerically. Effects of the Hartmann number, the ratio of relaxation to retardation times, time-mean flow, the phase angle and the gravity field on the pressure gradient, pressure rise, streamline, axial velocity, and shear stress are discussed in detail and shown graphically. The results indicate that the effect of Hartmann number, ratio of relaxation to retardation times, time-mean flow, phase angle, and gravity field are very pronounced in the peristaltic transport phenomena. Comparison was made with the results obtained in the presence and absence of magnetic field and gravity field.