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Abstract and Applied Analysis
Volume 2014, Article ID 269151, 17 pages
http://dx.doi.org/10.1155/2014/269151
Research Article

The Flow Separation of Peristaltic Transport for Maxwell Fluid between Two Coaxial Tubes

1Mathematical Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
2Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, Egypt
3Mathematics Department, Faculty of Science and Arts, King Abdulaziz University (KAU), Khulais 21921, Saudi Arabia
4Mathematics Department, Faculty of Science, Al-Azhar University (Assiut Branch), Assiut 71524, Egypt

Received 10 January 2014; Revised 27 April 2014; Accepted 6 May 2014; Published 28 May 2014

Academic Editor: Victor Kovtunenko

Copyright © 2014 S. Z. A. Husseny 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

We study the peristaltic mechanism of an incompressible non-Newtonian biofluid (namely, Maxwell model) in the annular region between two coaxial tubes. The inner tube represents the endoscope tube. The system of the governing nonlinear PDE is solved by using the perturbation method to the first order in dimensionless wavenumber. The modified Newton-Raphson method is used to predict the flow separation points along the peristaltic wall and the endoscope tube. The results show that the presence of the endoscope (catheter) tube in the artery increases the pressure gradient and shear stress. Such a result seems too reasonable from the physical and medical point of view.