Abstract
Atherosclerosis is a vascular disorder caused by plaque buildup. It decreases the arterial diameter through plaque deposition and arterial wall thickening. This condition causes serious problems in the blood-circulatory system. The present work investigates the effect of stenosis shape on the hemodynamics through a straight-cylindrical artery using the Carreau viscosity model. Here, the different stenosis shapes, namely, cosine, circular, and elliptic shapes are studied at the same degree of stenosis. The numerical model is validated against Zhou et al.’s investigation. Our result shows that the cosine shape stenosis has the highest maximum wall shear stress among the different shapes of stenosis. This type of research has the potential to understand the pathogenesis of vascular diseases.
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Abbreviations
- \(\overrightarrow{U}\):
-
Velocity vector [m2]
- \(\rho\):
-
Blood density [kg/\({\mathrm{m}}^{3}\)]
- \(p\):
-
Pressure [Pa]
- \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {\mathop{\tau }\limits^{\rightharpoonup} }\):
-
Viscous stress tensor [Pa]
- \(\mu\):
-
Viscosity [Pa-s]
- \({\mu }_{0}\):
-
Viscosity at zero shear rate [Pa-s]
- \({\mu }_{\infty }\):
-
Viscosity at high shear rate [Pa-s]
- \(\uplambda\):
-
Relaxation time [\({\mathrm{s}}^{-1}\)]
- \(\dot{\upgamma }\):
-
Shear rate [s]
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Equbal, A., Kalita, P. (2024). Numerical Analysis to Investigate the Effect of Stenosis Shape on the Hemodynamics of Flow Through a Straight-Cylindrical Artery. In: Das, S., Mangadoddy, N., Hoffmann, J. (eds) Proceedings of the 1st International Conference on Fluid, Thermal and Energy Systems . ICFTES 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-5990-7_10
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DOI: https://doi.org/10.1007/978-981-99-5990-7_10
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