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Research Article

ANALYSIS OF NEWTONIAN AND NON-NEWTONIAN BLOOD FLOW THROUGH MULTIPLE STENOSES IN NARROW ARTERY

A
Amendra Singh Department of Mathematics, Dr. Bhimrao Ambedkar University, Agra - 282002, Uttar Pradesh, INDIA
S
Sanjeev Kumar Department of Mathematics, Dr. Bhimrao Ambedkar University, Agra - 282002, Uttar Pradesh, INDIA
Volume 20, Issue 1 Pages 313-324 April 30, 2024 115 downloads
Article overview

Abstract

This study presents a mathematical model aimed at investigating the effect of blood flow parameters in a narrow artery with multiple stenoses. Blood is modelled as a non-Newtonian Kuang-Luo (K-L) fluid. Numerical expressions for blood flow characteristics including blood flow rate, skin friction and resistance to blood flow have been derived. These expressions have been solved using MATLAB R2022a software and analysed graphically. The flow properties exhibit distinct behaviours in response to changes in plasma viscosity and yield stress. Furthermore, it was noted that variation in skin friction is more pronounced in Newtonian fluid compared to non-Newtonian K-L fluid. Additionally, the effect of yield stress on all flow quantities is comparatively lesser than that of plasma viscosity. The findings of this study have been validated against existing models.

Keywords and Phrases

K-L fluid modelnarrow arteryblood flowmultiple stenoses.

AMS Subject Classification

92B05, 76Z05.

Reference information

How to Cite

Amendra Singh, Sanjeev Kumar (2024). ANALYSIS OF NEWTONIAN AND NON-NEWTONIAN BLOOD FLOW THROUGH MULTIPLE STENOSES IN NARROW ARTERY. South East Asian Journal of Mathematics and Mathematical Sciences, 20(1), 313-324.
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