Mathematical modelling of non-Newtonian blood flow through a tapered stenotic artery

A mathematical model of non-Newtonian blood flow through a tapered stenotic artery is considered. It has been established that the regional blood rheology is altered once a stenosis develops. A stenosis is defined as the partial occlusion of the blood vessels due to the accumulation of cholesterols...

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Main Author:	Ismail, Zuhaila
Format:	Thesis
Language:	English
Published:	2006
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/3812/1/ZuhailaIsmailMFS2006.pdf
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id	my-utm-ep.3812
record_format	uketd_dc
spelling	my-utm-ep.38122018-01-10T08:16:22Z Mathematical modelling of non-Newtonian blood flow through a tapered stenotic artery 2006-05 Ismail, Zuhaila QA Mathematics A mathematical model of non-Newtonian blood flow through a tapered stenotic artery is considered. It has been established that the regional blood rheology is altered once a stenosis develops. A stenosis is defined as the partial occlusion of the blood vessels due to the accumulation of cholesterols and fats and the abnormal growth of tissue. The non-Newtonian model chosen is characterized by the generalized Power-Law model and the effect of tapering on the arterial segment is incorporated in the analysis due to the pulsatile nature of blood flow. The flow is assumed to be unsteady, laminar, two-dimensional and axisymmetric. The equations of motion in terms of the viscous shear stress in the cylindrical coordinate system are first derived and then transformed using the radial coordinate transformation before they are solved numerically using a finite difference scheme. Numerical results obtained show that the blood flow characteristics such as the velocity profiles, flow rate, and wall shear stress have lower values while the resistive impedances have higher values compared to the values obtained from the Newtonian model. 2006-05 Thesis http://eprints.utm.my/id/eprint/3812/ http://eprints.utm.my/id/eprint/3812/1/ZuhailaIsmailMFS2006.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Ismail, Zuhaila Mathematical modelling of non-Newtonian blood flow through a tapered stenotic artery
description	A mathematical model of non-Newtonian blood flow through a tapered stenotic artery is considered. It has been established that the regional blood rheology is altered once a stenosis develops. A stenosis is defined as the partial occlusion of the blood vessels due to the accumulation of cholesterols and fats and the abnormal growth of tissue. The non-Newtonian model chosen is characterized by the generalized Power-Law model and the effect of tapering on the arterial segment is incorporated in the analysis due to the pulsatile nature of blood flow. The flow is assumed to be unsteady, laminar, two-dimensional and axisymmetric. The equations of motion in terms of the viscous shear stress in the cylindrical coordinate system are first derived and then transformed using the radial coordinate transformation before they are solved numerically using a finite difference scheme. Numerical results obtained show that the blood flow characteristics such as the velocity profiles, flow rate, and wall shear stress have lower values while the resistive impedances have higher values compared to the values obtained from the Newtonian model.
format	Thesis
qualification_level	Master's degree
author	Ismail, Zuhaila
author_facet	Ismail, Zuhaila
author_sort	Ismail, Zuhaila
title	Mathematical modelling of non-Newtonian blood flow through a tapered stenotic artery
title_short	Mathematical modelling of non-Newtonian blood flow through a tapered stenotic artery
title_full	Mathematical modelling of non-Newtonian blood flow through a tapered stenotic artery
title_fullStr	Mathematical modelling of non-Newtonian blood flow through a tapered stenotic artery
title_full_unstemmed	Mathematical modelling of non-Newtonian blood flow through a tapered stenotic artery
title_sort	mathematical modelling of non-newtonian blood flow through a tapered stenotic artery
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2006
url	http://eprints.utm.my/id/eprint/3812/1/ZuhailaIsmailMFS2006.pdf
_version_	1747814474153197568

Mathematical modelling of non-Newtonian blood flow through a tapered stenotic artery

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