A Bingham plastic and peripheral layer model of blood flow in the presence of stenosed artery

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

1. Government Science and Commerce College, Benazir Bhopal, India.
2. Government Science and Commerce College, Benazir Bhopal, India.
3. Government Geetanjali Girls College, Bhopal, India.
4. Government Post Graduate Bhel College, Bhopal, India.
5. Lakshmi Narain College of Technology and Science, Bhopal, India.

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.3 , pp.102-110, Jun-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i3.102110

Online published on Jun 30, 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 :
The present work deals with the blood flow through the stenosis assuming that flowing blood is represented by a two layered model. We considered a two-layered blood flow model to study the axisymmetric flow of blood by assuming the core layer as Bingham plastic (non-Newtonian fluid) and the peripheral layer (Newtonian fluid) in through the stenosis in the arteries. The analytical expressions for flow rate, resistance to flow and wall shear stress have been developed in this model. We have depicts the effect of stenosis on resistance to flow and wall shear stress. This study gives an insight into the effects of slip velocity on the volumetric flow rate, resistance to flow and wall shear stress.

Key-Words / Index Term :
Stenosis, blood flow, core layer, peripheral layer and Bingham plastic

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