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Published on: July 19, 2016
A model for blood flow through a stenotic tube
P N Tandon1, U V Rana, M Kawahara
1Department of Mathematics, H.B.T.I., Kanpur, India.
This study models blood flow in arteries using a modified Casson fluid model, revealing that blood's non-Newtonian properties reduce peak wall shear stress and flow reversal in stenosed arteries.
Area of Science:
- Biomedical Engineering
- Fluid Dynamics
- Cardiovascular Science
Background:
- Blood flow in arteries is complex, especially with arterial constrictions (stenoses).
- Accurate modeling of blood as a non-Newtonian fluid is crucial for understanding hemodynamics in diseased arteries.
Purpose of the Study:
- To introduce a modified Casson fluid model for blood flow.
- To analyze steady laminar flow in a small artery with double stenoses.
Main Methods:
- Utilized the finite element method to solve governing equations.
- Investigated velocity profiles, pressure, and wall shear stress distributions.
- Examined flow reversal zones in relation to stenosis severity.
Main Results:
- The modified Casson model accurately represents blood.
- Non-Newtonian blood properties decrease peak wall shear stress at stenosis throats.
- Reduced length of reversed flow regions in post-stenotic areas was observed.
Conclusions:
- The modified Casson fluid model provides a true representation of blood.
- Non-Newtonian characteristics of blood mitigate adverse hemodynamic effects in stenosed arteries.
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