Applied Bionics and Biomechanics

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Applied Bionics and Biomechanics / 2010 / Article

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Volume 7 |Article ID 370503 | 14 pages | https://doi.org/10.1080/11762321003747099

The Influence of Slippage on Trapping and Reflux Limits with Peristalsis through an Asymmetric Channel

Z. M. Gharsseldien,1,2 Kh. S. Mekheimer,2 and A. S. Awad3

1Mathematics Department, Faculty of Arts & Science, King Saud University, Wadi Adwassir, Saudi Arabia

2Mathematics Department, Faculty of Science for Men, Al-Azhar University, Cairo, Egypt

3Mathematics Department, Faculty of Science for Girls, Al-Azhar University, Cairo, Egypt

Received30 Mar 2010

Abstract

The effects of slip boundary condition on peristaltic transport of incompressible Newtonian viscous fluid in an asymmetric channel is investigated, under the conditions of low Reynolds number and long wavelength. The pumping characteristics, trapping and reflux limits are studied for different values of the dimensionless slip parameter β.

Copyright © 2010 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.

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