Carreau fluid model for blood flow through a tapered artery with a stenosis

In present article, we have studied the blood flow through tapered artery with stenosis. The non-Newtonian nature of blood in small arteries is analyzed mathematically by considering the blood as Carreau fluid. Carreau fluid is a type of generalized Newtonian fluid. At low shear rate Carreau fluids...

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Main Authors: Noreen Sher Akbar, S. Nadeem
Format: Article
Language:English
Published: Elsevier 2014-12-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447914000781
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author Noreen Sher Akbar
S. Nadeem
author_facet Noreen Sher Akbar
S. Nadeem
author_sort Noreen Sher Akbar
collection DOAJ
description In present article, we have studied the blood flow through tapered artery with stenosis. The non-Newtonian nature of blood in small arteries is analyzed mathematically by considering the blood as Carreau fluid. Carreau fluid is a type of generalized Newtonian fluid. At low shear rate Carreau fluids behaves as a Newtonian fluid n=1 and at high shear rate as power law fluid. For n<1 Carreau fluid gives pseudoplastic(non-Newtonian), or shear-thinning fluids have a lower apparent viscosity at higher shear rates and for n>1 Carreau fluid behaves as Dilatant(non-Newtonian), or shear-thickening fluids increase in apparent viscosity at higher shear rates. All three cases are appropriate for blood flow in arteries because the assumption of Newtonian behavior of blood is acceptable for high shear rate flow, i.e. the case of flow through larger arteries. It is not, however, valid when the shear rate is low as is the flow in smaller arteries and in the downstream of the stenosis. It has been pointed out that in some diseased conditions, blood exhibits remarkable non-Newtonian properties. The representation for the blood flow is through an axially non-symmetrical but radially symmetric stenosis. Symmetry of the distribution of the wall shear stress and resistive impedance and their growth with the developing stenosis is another important feature of our analysis. Analytical solutions has been evaluated for velocity, resistance impedance, wall shear stress and shear stress at the stenosis throat. The graphical results of different types of tapered arteries (i.e converging tapering, diverging tapering, non-tapered artery) have been examined for different parameters of interest.
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spelling doaj.art-eb19c23fda8343dbb516703051dc22c22022-12-21T21:57:53ZengElsevierAin Shams Engineering Journal2090-44792014-12-01541307131610.1016/j.asej.2014.05.010Carreau fluid model for blood flow through a tapered artery with a stenosisNoreen Sher Akbar0S. Nadeem1DBS&H, CEME, National University of Sciences and Technology, Islamabad, PakistanDepartment of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, PakistanIn present article, we have studied the blood flow through tapered artery with stenosis. The non-Newtonian nature of blood in small arteries is analyzed mathematically by considering the blood as Carreau fluid. Carreau fluid is a type of generalized Newtonian fluid. At low shear rate Carreau fluids behaves as a Newtonian fluid n=1 and at high shear rate as power law fluid. For n<1 Carreau fluid gives pseudoplastic(non-Newtonian), or shear-thinning fluids have a lower apparent viscosity at higher shear rates and for n>1 Carreau fluid behaves as Dilatant(non-Newtonian), or shear-thickening fluids increase in apparent viscosity at higher shear rates. All three cases are appropriate for blood flow in arteries because the assumption of Newtonian behavior of blood is acceptable for high shear rate flow, i.e. the case of flow through larger arteries. It is not, however, valid when the shear rate is low as is the flow in smaller arteries and in the downstream of the stenosis. It has been pointed out that in some diseased conditions, blood exhibits remarkable non-Newtonian properties. The representation for the blood flow is through an axially non-symmetrical but radially symmetric stenosis. Symmetry of the distribution of the wall shear stress and resistive impedance and their growth with the developing stenosis is another important feature of our analysis. Analytical solutions has been evaluated for velocity, resistance impedance, wall shear stress and shear stress at the stenosis throat. The graphical results of different types of tapered arteries (i.e converging tapering, diverging tapering, non-tapered artery) have been examined for different parameters of interest.http://www.sciencedirect.com/science/article/pii/S2090447914000781Carreau fluidBlood flowTapered arteryStenosisAnalytical solutions
spellingShingle Noreen Sher Akbar
S. Nadeem
Carreau fluid model for blood flow through a tapered artery with a stenosis
Ain Shams Engineering Journal
Carreau fluid
Blood flow
Tapered artery
Stenosis
Analytical solutions
title Carreau fluid model for blood flow through a tapered artery with a stenosis
title_full Carreau fluid model for blood flow through a tapered artery with a stenosis
title_fullStr Carreau fluid model for blood flow through a tapered artery with a stenosis
title_full_unstemmed Carreau fluid model for blood flow through a tapered artery with a stenosis
title_short Carreau fluid model for blood flow through a tapered artery with a stenosis
title_sort carreau fluid model for blood flow through a tapered artery with a stenosis
topic Carreau fluid
Blood flow
Tapered artery
Stenosis
Analytical solutions
url http://www.sciencedirect.com/science/article/pii/S2090447914000781
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AT snadeem carreaufluidmodelforbloodflowthroughataperedarterywithastenosis