A Mathematical Core and Peripheral Layer Model of Blood Flow Through Stenosed Artery

Rajesh Shrivastava¹ , R.S. Chandel² , Ajay Kumar³ , Keerty Shrivastava⁴ , Sanjeet Kumar⁵

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.13-20, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.1320

Online published on Dec 31, 2018

Copyright © Rajesh Shrivastava, R.S. Chandel, Ajay Kumar, Keerty Shrivastava, Sanjeet Kumar . 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.
 

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Abstract :
In this paper we investigate a mathematical model on the peripheral layer model for blood flow through stenosed artery has been developed. The information about the geometry has been presented to analysis the severity of stenosis, so we have proposed a trapezium-shaped geometry of mild asymmetric stenosis. The blood flow with artery has been represented by a two-layered model consisting of a core layer and a peripheral layer. It has been observed that the resistance to flow and wall shear stress increase as the peripheral layer viscosity increases. In this paper, the analytical expressions have been obtained for resistance to flow and wall shear stress. The impact of concerned parameters has been examined and depicted through the graphs for different values of interest. The model can be used for approximation of diseased arterial system.

Key-Words / Index Term :
Physiological flow, Stenosis, arterial wall, blood flow, peripheral layer viscosity

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