A comparison of Newtonian and non-Newtonian models for pulsatile blood flow simulations

Mathematical modeling of blood flows in the arteries is an important and challenging problem. This study compares several non-Newtonian blood models with the Newtonian model in simulating pulsatile blood flow through two three-dimensional models of an arterial stenosis and an aneurysm. Four non-Newt...

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Main Authors:	Husain Iqbal, Labropulu Fotini, Langdon Chris, Schwark Justin
Format:	Article
Language:	English
Published:	De Gruyter 2013-04-01
Series:	Journal of the Mechanical Behavior of Materials
Subjects:	aneurysm blood fluid flows non-newtonian pulsatile simulations stenosis
Online Access:	https://doi.org/10.1515/jmbm-2013-0001

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spelling	doaj-a89fce5fb85c44afb702decfc7a1a81d2021-10-02T19:06:06ZengDe GruyterJournal of the Mechanical Behavior of Materials0334-89382191-02432013-04-01215-614715310.1515/jmbm-2013-0001A comparison of Newtonian and non-Newtonian models for pulsatile blood flow simulationsHusain Iqbal0Labropulu Fotini1Langdon Chris2Schwark Justin3Department of Mathematics, Luther College, University of Regina, Regina, Saskatchewan, Canada S4S 0A2Department of Mathematics, Luther College, University of Regina, Regina, Saskatchewan, Canada S4S 0A2Department of Mathematics, Luther College, University of Regina, Regina, Saskatchewan, Canada S4S 0A2Department of Mathematics, Luther College, University of Regina, Regina, Saskatchewan, Canada S4S 0A2Mathematical modeling of blood flows in the arteries is an important and challenging problem. This study compares several non-Newtonian blood models with the Newtonian model in simulating pulsatile blood flow through two three-dimensional models of an arterial stenosis and an aneurysm. Four non-Newtonian blood models, namely the Power Law, the Casson, the Carreau, and the Generalized Power Law, as well as the Newtonian model of blood viscosity, are used to investigate the flow effects induced by these different blood constitutive equations. The aim of this study is three-fold: firstly, to investigate the variation in wall shear stress in an artery with a stenosis or aneurysm at different flow rates and degrees of severity; secondly, to compare the various blood models and hence quantify the differences between the models and judge their significance; and lastly, to determine whether the use of the Newtonian blood model is appropriate over a wide range of shear rates.https://doi.org/10.1515/jmbm-2013-0001aneurysmbloodfluid flowsnon-newtonianpulsatilesimulationsstenosis
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Husain Iqbal Labropulu Fotini Langdon Chris Schwark Justin
spellingShingle	Husain Iqbal Labropulu Fotini Langdon Chris Schwark Justin A comparison of Newtonian and non-Newtonian models for pulsatile blood flow simulations Journal of the Mechanical Behavior of Materials aneurysm blood fluid flows non-newtonian pulsatile simulations stenosis
author_facet	Husain Iqbal Labropulu Fotini Langdon Chris Schwark Justin
author_sort	Husain Iqbal
title	A comparison of Newtonian and non-Newtonian models for pulsatile blood flow simulations
title_short	A comparison of Newtonian and non-Newtonian models for pulsatile blood flow simulations
title_full	A comparison of Newtonian and non-Newtonian models for pulsatile blood flow simulations
title_fullStr	A comparison of Newtonian and non-Newtonian models for pulsatile blood flow simulations
title_full_unstemmed	A comparison of Newtonian and non-Newtonian models for pulsatile blood flow simulations
title_sort	comparison of newtonian and non-newtonian models for pulsatile blood flow simulations
publisher	De Gruyter
series	Journal of the Mechanical Behavior of Materials
issn	0334-8938 2191-0243
publishDate	2013-04-01
description	Mathematical modeling of blood flows in the arteries is an important and challenging problem. This study compares several non-Newtonian blood models with the Newtonian model in simulating pulsatile blood flow through two three-dimensional models of an arterial stenosis and an aneurysm. Four non-Newtonian blood models, namely the Power Law, the Casson, the Carreau, and the Generalized Power Law, as well as the Newtonian model of blood viscosity, are used to investigate the flow effects induced by these different blood constitutive equations. The aim of this study is three-fold: firstly, to investigate the variation in wall shear stress in an artery with a stenosis or aneurysm at different flow rates and degrees of severity; secondly, to compare the various blood models and hence quantify the differences between the models and judge their significance; and lastly, to determine whether the use of the Newtonian blood model is appropriate over a wide range of shear rates.
topic	aneurysm blood fluid flows non-newtonian pulsatile simulations stenosis
url	https://doi.org/10.1515/jmbm-2013-0001
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A comparison of Newtonian and non-Newtonian models for pulsatile blood flow simulations

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