Mathematical Model of Bingham Fluid Inside Asymmetric Stenosed Artery and Its Applications

This study is to analysis the two-layered model of blood flow inside asymmetric stenosed artery with the consideration that blood behaves like a Newtonian and non-Newtonian fluid with different viscosities in the Peripheral layer and core regions. Further, in view of the existence of a velocity slip in blood flow regime, an axial slip condition as reported by many researchers is introduced at interface of the two-layers in the present analysis. The expressions for the flow characteristics namely the velocity profile, flow rate , the resistance to flow, the wall shear stress at the stenosis throat within the tube are obtained. Discussions are done from a physiological point of view with the help of graph.

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Publication Details

Journal
International Journal on Science and Technology
Published
2024-12-18
DOI
https://doi.org/10.71097/ijsat.v15.i4.1159
Primary Topic
Cardiovascular Health and Disease Prevention
Type
article
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article

Mathematical Model of Bingham Fluid Inside Asymmetric Stenosed Artery and Its Applications

M. Hasan Barbhuiya, Mehboob Ali
2 links
International Journal on Science and Technology
Cardiovascular Health and Disease Prevention
article

Mathematical Model of Bingham Fluid Inside Asymmetric Stenosed Artery and Its Applications

M. Hasan Barbhuiya, Mehboob Ali
article en

Abstract

This study is to analysis the two-layered model of blood flow inside asymmetric stenosed artery with the consideration that blood behaves like a Newtonian and non-Newtonian fluid with different viscosities in the Peripheral layer and core regions. Further, in view of the existence of a velocity slip in blood flow regime, an axial slip condition as reported by many researchers is introduced at interface of the two-layers in the present analysis. The expressions for the flow characteristics namely the velocity profile, flow rate , the resistance to flow, the wall shear stress at the stenosis throat within the tube are obtained. Discussions are done from a physiological point of view with the help of graph.

International Journal on Science and TechnologyVol. 15(4)
Openalex Percentile: Top 55%
Cardiovascular Health and Disease Prevention
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