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On the steady and unsteady blood flows in an artery with an overlapping stenosis

On the steady and unsteady blood flows in an artery with an overlapping stenosis The problems of steady and unsteady blood flow in an artery with an overlapping symmetric stenosis are considered. The governing equations for the mass conservation and momentum are used for blood flow system, but here the dynamic viscosity of the fluid is a function of the radial variable as modeled by Einstein to take into account the hematocrit. Hematocrit is the percentage of the red cells by volume in the whole blood fluid. Mathematical models for steady and unsteady blood flow are developed for the leading order flow velocity, pressure gradient, impedance and shear stress, and investigate the dependence of these quantities on the hematoocrit, frequency, height of stenosis, parameter determining the shape of the constriction. It was observed that the higher value of the frequency, hematocrit, height of stenonis leads to higher values of the axial velocity, the impedance and the wall shear stress in the stenosis zone. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

On the steady and unsteady blood flows in an artery with an overlapping stenosis

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Springer Basel
Subject
Mathematics; Mathematical Methods in Physics; Analysis
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-012-0045-2
Publisher site
See Article on Publisher Site

Abstract

The problems of steady and unsteady blood flow in an artery with an overlapping symmetric stenosis are considered. The governing equations for the mass conservation and momentum are used for blood flow system, but here the dynamic viscosity of the fluid is a function of the radial variable as modeled by Einstein to take into account the hematocrit. Hematocrit is the percentage of the red cells by volume in the whole blood fluid. Mathematical models for steady and unsteady blood flow are developed for the leading order flow velocity, pressure gradient, impedance and shear stress, and investigate the dependence of these quantities on the hematoocrit, frequency, height of stenosis, parameter determining the shape of the constriction. It was observed that the higher value of the frequency, hematocrit, height of stenonis leads to higher values of the axial velocity, the impedance and the wall shear stress in the stenosis zone.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Oct 13, 2012

References