Mathematical model of pulsatile flow of non-Newtonian fluid in tubes of varying cross-sections and its implications to blood flow

DOI10.1016/j.jfranklin.2012.02.001zbMath1254.93021OpenAlexW2025081127MaRDI QIDQ1926296

Yanyan Li

Publication date: 28 December 2012

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2012.02.001

zbMATH Keywords

non-Newtonian fluidpower-law fluidvelocity profileswall shear stressgeneral validityReynolds numberperturbation parametermathematical modelsBingham fluidsvolumetric flow rateartery with stenosisBingham plastic fluidanalytical expressions for velocitybiorheological applicationsflow of Newtonian fluidflow resistance increaseHerschel-Bulkley equationmean flow resistancepulsatility on flowquasi-steady nonlinear coupled implicit system of differential equationsrheological behavior of bloodrheological property of blood and pulsatilityvalue of flow resistanceyield stress with other parameters

Mathematics Subject Classification ID

Medical applications (general) (92C50)

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Cites Work

• Unnamed Item
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• Arterial flow under periodic body acceleration
• Pulsatile flow of Herschel-Bulkley fluid through stenosed arteries -- a mathematical model
• Effects of stenosis on non-Newtonian flow of the blood in an artery
• On the normal stress effects of incompressible non-Newtonian fluids
• Theory for incompressible fluid turbulence
• Pulsatile fully developed flow in rectangular channels
• Flow of Eringen fluid (simple microfluid) through an artery with mild stenosis
• Non-linear mathematical models for blood flow through tapered tubes
• Pulsatile flow in tubes of varying cross-sections
• PULSATILE FLOW THROUGH CONSTRICTED OR DILATED CHANNELS

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