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Computational and Mathematical Methods in Medicine
Volume 2014, Article ID 479152, 10 pages
http://dx.doi.org/10.1155/2014/479152
Research Article

Mathematical Analysis of Non-Newtonian Blood Flow in Stenosis Narrow Arteries

Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand

Received 20 June 2014; Revised 18 November 2014; Accepted 18 November 2014; Published 17 December 2014

Academic Editor: Chung-Min Liao

Copyright © 2014 Somchai Sriyab. 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

The flow of blood in narrow arteries with bell-shaped mild stenosis is investigated that treats blood as non-Newtonian fluid by using the K-L model. When skin friction and resistance of blood flow are normalized with respect to non-Newtonian blood in normal artery, the results present the effect of stenosis length. When skin friction and resistance of blood flow are normalized with respect to Newtonian blood in stenosis artery, the results present the effect of non-Newtonian blood. The effect of stenosis length and effect of non-Newtonian fluid on skin friction are consistent with the Casson model in which the skin friction increases with the increase of ither stenosis length or the yield stress but the skin friction decreases with the increase of plasma viscosity coefficient. The effect of stenosis length and effect of non-Newtonian fluid on resistance of blood flow are contradictory. The resistance of blood flow (when normalized by non-Newtonian blood in normal artery) increases when either the plasma viscosity coefficient or the yield stress increases, but it decreases with the increase of stenosis length. The resistance of blood flow (when normalized by Newtonian blood in stenosis artery) decreases when either the plasma viscosity coefficient or the yield stress increases, but it decreases with the increase of stenosis length.