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Applied Bionics and Biomechanics
Volume 11, Issue 1-2, Pages 69-79
http://dx.doi.org/10.3233/ABB-140087

Effect of Slip on Peristaltic Flow of Powell-Eyring Fluid in a Symmetric Channel

T. Hayat,1,2 S. Irfan Shah,1 B. Ahmad,2 and M. Mustafa3

1Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan
2Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
3School of Natural Sciences, National University of Sciences and Technology (NUST), Islamabad, Pakistan

Copyright © 2014 Hindawi Publishing Corporation. 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

Peristaltic flow of non-Newtonian fluid in a symmetric channel with partial slip effect is examined. The non-Newtonian behavior of fluid is characterized by the constitutive equations of Powell-Eyring fluid. The motion is induced by a sinusoidal wave traveling along the flexible walls of channel. The flow is analyzed in a wave frame of reference moving with the velocity of wave. The equations governing the flow are solved by adopting lubrication approach. Series solutions for the stream function and axial pressure gradient are obtained. Impact of slip and other emerging flow parameters is plotted and analyzed graphically.