Abstract : Using a power law fluid model, this computational study examines the hemodynamic features of blood flow in arteries with cosine-shaped stenosis. The narrowing of blood vessels, known as arterial stenosis, has a profound effect on blood flow behavior and can cause serious health problems like thrombosis and ischemia. Treatment techniques can only be developed with a thorough understanding of the flow dynamics in these geometries. This research examines the flow resistance, shear stress distribution, pressure and velocity profiles, and occlusion artery narrowing using computational fluid dynamics (CFD) models. To precisely represent the rheological characteristics of blood, the power law fluid model is employed, which takes into consideration the non-Newtonian behavior of blood. The aftereffects of this review will help researchers and physicians better understand how blood flows through narrowed arteries, which will lead to better ways to diagnose and treat cardiovascular disorders.
Keywords : Power law fluid, Cosine-shaped stenosis, Velocity profiles, Pressure distribution, Shear stress, Non-Newtonian behavior, Flow resistance
Cite : Singh, P. P., Singh, J. P., Yadav, & Raghav, S. (2024). Characterizing Blood Flow Of Power Law Fluid In Cosine-Shaped Stenosed Arteries: A Computational Study (1st ed., pp. 146-154). Noble Science Press. https://doi.org/10.52458/9788197112492.nsp.2024.eb.ch-15
References :
Jain, M., Sharma G.C., Singh R. (2010): “Mathematical Modelling of blood flow in a stenosed artery under MHD effect through porous medium “, IJE Transactions B: Applications, 23(3-4): 243-251.
Singh A.K, Singh D.P. (2013): “Effect of Hematocrit on wall shear stress for blood flow through tapered artery”, Applied Bionics and Biomechanics, 10(2-3): 135-138.
Thiriet M. (2015): “Diseases of the Cardiac Pump. Cham”, Springer International Publishing, 7(1): 2-20.
Siddiqui S.U. and Geeta (2015):"A mathematical Model for Blood Flow Through Inclined Stenosed Artery", International Journal of Mathematics And its Applications, 4(2):189-195.
Bali R., Gupta N. (2018):" Study of non-Newtonian fluid by K–L model through a non-symmetrical stenosed narrow artery", Applied Mathematics and Computation, 320:358–370.
Luo L., Shiu W.S., Chen R. Cai X.C.(2019): "A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis", Journal of Computational Physics, 399:1-20.
Wajihah S.A., Sankar D.S.(2023): “A review on non-Newtonian fluid models for multi-layered blood rheology in constricted arteries”, Archive of Applied Mechanics, 93:1771-1796.
Bakheet A., Alnussaiyri E.A., Ismail Z., Amin N. (2016): “Blood flow through an inclined stenosed artery”, Applied Mathematical Sciences, 10(5-8):235–254.
Xenos M.A., and Tzirtzilakis E.E. (2013): “MHD effects on blood flow in a stenosis”, Advances in Dynamical Systems and Applications, 8(2):427–437.
Abbas Z.,Shabbir M.S., Ali N. (2018): “Numerical study of magneto hydrodynamic pulsatile flow of Sutterby fluid through an inclined overlapping arterial stenosis in the presence of periodic body acceleration”, Results in Physics, 9:753-762.
