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Mathematical Problems in Engineering
Volume 2006 (2006), Article ID 61475, 19 pages
http://dx.doi.org/10.1155/MPE/2006/61475

Effect of wall compliance on peristaltic transport of a Newtonian fluid in an asymmetric channel

Department of Mathematics, Girls College of Education, Qassim El-Mezneb, Saudi Arabia

Received 19 January 2006; Revised 5 April 2006; Accepted 24 May 2006

Copyright © 2006 Mohamed H. Haroun. 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 transport of an incompressible viscous fluid in an asymmetric compliant channel is studied. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phases. The fluid-solid interaction problem is investigated by considering equations of motion of both the fluid and the deformable boundaries. The driving mechanism of the muscle is represented by assuming the channel walls to be compliant. The phenomenon of the “mean flow reversal” is discussed. The effect of wave amplitude ratio, width of the channel, phase difference, wall elastance, wall tension, and wall damping on mean-velocity and reversal flow has been investigated. The results reveal that the reversal flow occurs near the boundaries which is not possible in the elastic symmetric channel case.