Analysis of rheological properties of Herschel-Bulkley fluid for pulsating flow of blood in ω-shaped stenosed artery
Source abstract
Abstract
In the present article, we examined the pulsating flow of blood in the tapered ω-shaped stenosed arterial segment. The Herschel-Bulkley fluid model is used to represent the non-Newtonian characteristics of blood in narrow arteries. The equation governing the present flow is modelled by assuming that the flow is unsteady and one dimensional. Regular perturbation method is used to find the first order expression of various flow variables. The temporal and axial distributions of velocity, wall shear stress, volumetric flux and resistance to the flow are displayed graphically. The effects of various involved parameters on the radius of plug flow region are also discussed. A comparison between the flow of blood in single symmetric and ω-shaped stenotic regions of the arteries is also analyzed.
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Research context
OpenAlex topics: Rheology and Fluid Dynamics Studies · Nanofluid Flow and Heat Transfer · Fluid Dynamics and Turbulent Flows
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, The Islamia University of Bahawalpur 1 , 63100, Pakistan
Department of Mathematics and Statistics, International Islamic University Islamabad 2 , 44000, Pakistan
References (30)
Show source-provided references
1. Micropolar fluid model for blood flow through a small tapered tube
2. Blood flow in tapered tubes with biorheological applications10.3233/bir-1985-22403 ↗
3. Finite element simulation of pulsatile flow through arterial stenosis10.1016/0021-9290(92)90070-h ↗
4. Flow in locally constricted tube at low Reynolds number
5. Flow patterns in stenotic blood vessel models10.3233/BIR-1976-13602 ↗
6. An integral method for the analysis of flow in Arterial stenosis10.1016/s0092-8240(74)80005-4 ↗
7. Numerical calculations of plane oscillatory non-uniform flow—II. Parametric study of pressure gradient and frequency with square wall obstacles10.1016/0021-9290(73)90010-9 ↗
8. Mathematical model of arterial stenosis10.1007/bf02443380 ↗
9. Numerical study on post-stenotic dilatation10.3233/BIR-1983-20508 ↗
10. Simple pulsatile flow in an artery with a constriction10.1016/0021-9290(85)90004-1 ↗
11. Power law fluid model for blood flow through a tapered artery with a stenosis10.1016/j.amc.2011.01.026 ↗
12. Pulsatile flow of a Casson fluid through stenosed arteries with application to blood flow10.3233/BIR-1986-23506 ↗
13. Magnetohydrodynamic approach of non-Newtonian blood flow with magnetic particles in stenosed artery10.1007/s10483-017-2172-7 ↗
14. Effects of stenosis on non-Newtonian flow through an artery with mild stenosis10.1007/bf02460787 ↗
15. Effects of peripheral layer thickness on pulsatile flow of Herschel–Bulkley fluid through a stenotic artery
16. Heat and mass transfer to blood flow through a tapered overlapping stenosed artery10.1016/j.ijheatmasstransfer.2015.12.073 ↗
17. Effects of unsteadiness and non-Newtonian rheology on blood flow through a tapered time-variant stenotic artery10.1063/1.4916043 ↗
18. Unsteady blood flow through a tapered stenotic artery using Sisko model10.1016/j.compfluid.2014.05.030 ↗
19. Unsteady non-Newtonian blood flow through a tapered overlapping stenosed catheterized vessel10.1016/j.mbs.2015.08.018 ↗
20. Unsteady two-layered blood flow through aw-shaped stenosed artery using the generalized Oldroyd-B fluid model10.21914/anziamj.v58i0.10080 ↗
21. Slip effects on unsteady non-Newtonian blood flow through an inclined catheterized overlapping stenotic artery10.1063/1.4941358 ↗
22. An innovative study for non-Newtonian behaviour of blood flow in stenosed artery using Herschel-Bulkley fluid model10.14257/ijbsbt.2013.5.5.24 ↗
23. Biomathematical modeling and analysis of blood flow in an intracranial aneurysm10.1179/016164103101201724 ↗
24. Mathematical modeling of pulsatile flow of non-Newtonian fluid in stenosed arteries10.1016/j.cnsns.2008.10.015 ↗
25. Mathematical modelling of pulsatile flow of Casson’s fluid in arterial stenosis10.1016/j.amc.2007.05.070 ↗
26. Mathematical modelling of blood flow through an overlapping stenosis10.1016/0895-7177(94)90116-3 ↗
27. Blood flow through stenosed catheterized artery: Effects of hematocrit and stenosis shape10.1016/j.camwa.2009.12.007 ↗
28. A mathematical model of Herschel-Bulkley fluid through an overlapping stenosis10.9790/5728-10224146 ↗
29. Unsteady polar fluid model of blood flow through tapered ω-shape stenosed artery: Effects of catheter and velocity slip10.1016/j.asej.2015.01.003 ↗
30. Pulsatile flow of Herschel–Bulkley fluid through stenosed Arteries—A mathematical model10.1016/j.ijnonlinmec.2006.02.007 ↗