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

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

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 orde...

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Main Authors: S. Z. A. Husseny, Y. Abd elmaboud, Kh. S. Mekheimer
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/269151
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spelling doaj-a2991b9169b548978592dfab2f2745c22020-11-24T22:51:17ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/269151269151The Flow Separation of Peristaltic Transport for Maxwell Fluid between Two Coaxial TubesS. Z. A. Husseny0Y. Abd elmaboud1Kh. S. Mekheimer2Mathematical Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaMathematics Department, Faculty of Science and Arts, King Abdulaziz University (KAU), Khulais 21921, Saudi ArabiaMathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, EgyptWe 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.http://dx.doi.org/10.1155/2014/269151
collection DOAJ
language English
format Article
sources DOAJ
author S. Z. A. Husseny
Y. Abd elmaboud
Kh. S. Mekheimer
spellingShingle S. Z. A. Husseny
Y. Abd elmaboud
Kh. S. Mekheimer
The Flow Separation of Peristaltic Transport for Maxwell Fluid between Two Coaxial Tubes
Abstract and Applied Analysis
author_facet S. Z. A. Husseny
Y. Abd elmaboud
Kh. S. Mekheimer
author_sort S. Z. A. Husseny
title The Flow Separation of Peristaltic Transport for Maxwell Fluid between Two Coaxial Tubes
title_short The Flow Separation of Peristaltic Transport for Maxwell Fluid between Two Coaxial Tubes
title_full The Flow Separation of Peristaltic Transport for Maxwell Fluid between Two Coaxial Tubes
title_fullStr The Flow Separation of Peristaltic Transport for Maxwell Fluid between Two Coaxial Tubes
title_full_unstemmed The Flow Separation of Peristaltic Transport for Maxwell Fluid between Two Coaxial Tubes
title_sort flow separation of peristaltic transport for maxwell fluid between two coaxial tubes
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/269151
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