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Applied Bionics and Biomechanics
Volume 10 (2013), Issue 1, Pages 19-27
http://dx.doi.org/10.3233/ABB-2012-0071

Peristaltic Transport through Eccentric Cylinders: Mathematical Model

Kh. S. Mekheimer,1,2 Y. Abd elmaboud,3,4 and A. I. Abdellateef5

1Mathematics & Statistic Department, Faculty of Science, Taif University, Hawia(888) Taif, Saudi Arabia
2Mathematical Department, Faculty of Science (Men), Al-Azhar University, Nasr City, Cairo, Egypt
3Mathematics Department, Faculty of Science, Al-Azhar University(Assiut Branch), Assiut, Egypt
4Mathematics Department, Faculty of Science and Arts, Khulais, King Abdulaziz University (KAU), Saudi Arabia
5Basic science Department, Higher Institute of Engineering, Shorouk City, Cairo, Egypt

Copyright © 2013 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

This paper discusses the effect of peristaltic transport on the fluid flow in the gap between two eccentric tubes (eccentric-annulus flows). The inner tube is uniform, rigid, while the outer tube has a sinusoidal wave traveling down its wall. The flow analysis has been developed for low Reynolds number and long wave length approximation. The velocity and the pressure gradient have been obtained in terms of the dimensionless flow rate Q¯, time t, azimuthal coordinate θ and eccentricity parameter ϵ (the parameter that controls of the eccentricity of the inner tube position). The results show that there is a significant deference between eccentric and concentric annulus flows.