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Applied Bionics and Biomechanics
Volume 5, Issue 1, Pages 13-23
http://dx.doi.org/10.1080/11762320802256666

The Influence of a Micropolar Fluid on Peristaltic Transport in an Annulus: Application of the Clot Model

Kh. S. Mekheimer1 and Y. Abd Elmaboud2

1Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884 Cairo, Egypt
2Mathematics Department, Faculty of Science, Al-Azhar University (Assiut Branch), Assiut, Egypt

Received 8 June 2008

Copyright © 2008 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

A serious pathological condition is encountered when some blood constituents deposited on the blood vessels get detached from the wall, join the blood stream again and form a clot. Study of the peristaltic transport of a micropolar fluid in an annular region is investigated under low Reynolds number and long wavelength approximations. We model a small artery as a tube having a sinusoidal wave travelling down its wall and a clot model inside it. Closed form solutions are obtained for the velocity and the microrotation components, as well as the stream function, and they contain new additional parameters, namely, δ, the height of the clot, N, the coupling number and m, the micropolar parameter. The pressure rise and friction force on the inner and the outer tubes have been discussed for various values of the physical parameters of interest.