The effects of gravitational acceleration on micropolar fluid model of blood flow in a bifurcated stenosed artery

Gravity is a fundamental force regulating the cardiovascular system in our body. However not many previous studies on bio-fluids take into consideration of the variation of gravitational acceleration. Besides, the geometry of the bifurcated artery is chosen to be investigated since it is significant...

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Main Author:	Tan, Yan Bin
Format:	Thesis
Language:	English
Published:	2017
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/81647/1/TanYanBinPFS2017.pdf
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spelling	my-utm-ep.816472019-09-10T01:53:06Z The effects of gravitational acceleration on micropolar fluid model of blood flow in a bifurcated stenosed artery 2017 Tan, Yan Bin QA Mathematics Gravity is a fundamental force regulating the cardiovascular system in our body. However not many previous studies on bio-fluids take into consideration of the variation of gravitational acceleration. Besides, the geometry of the bifurcated artery is chosen to be investigated since it is significant in human cardiovascular networking, where stenoses tend to form around branching junctions. Blood flow in the segment of artery is assumed to be axisymmetric, unsteady, laminar, fully developed, and two-dimensional. This research investigates the effects of gravity on micropolar fluid model of blood flow along a bifurcated artery segment which consists of a single stenosis at the parent branch. Meanwhile, to proceed with this study, blood is initially modelled as Newtonian fluid and micropolar fluid respectively in a straight stenosed artery segment. Then, the effects of gravity on Newtonian blood flow in bifurcated artery are explored. Here, a non-dimensional parameter G is introduced to describe the condition of gravity, where G is directly proportional to gravitational acceleration. The governing equations are solved numerically using the explicit finite difference method with prescribed condition of pressure and the computational algorithms are developed in Matlab software. Generally, with consideration of gravity variation, increment of gravitational acceleration causes decrement of axial velocity and increment of wall shear stress. Thus the consideration of gravity term in fluid model is necessary so that results obtained are closer to realistic conditions. Further, flow abnormalities are noticed at the branching junction from graphs of wall shear stress. This can be a crucial cause of stenosis overlapping and restenosis, which means that the structures of artery is significant in influencing blood flow patterns. 2017 Thesis http://eprints.utm.my/id/eprint/81647/ http://eprints.utm.my/id/eprint/81647/1/TanYanBinPFS2017.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:126195 phd doctoral Universiti Teknologi Malaysia Mathematics
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Tan, Yan Bin The effects of gravitational acceleration on micropolar fluid model of blood flow in a bifurcated stenosed artery
description	Gravity is a fundamental force regulating the cardiovascular system in our body. However not many previous studies on bio-fluids take into consideration of the variation of gravitational acceleration. Besides, the geometry of the bifurcated artery is chosen to be investigated since it is significant in human cardiovascular networking, where stenoses tend to form around branching junctions. Blood flow in the segment of artery is assumed to be axisymmetric, unsteady, laminar, fully developed, and two-dimensional. This research investigates the effects of gravity on micropolar fluid model of blood flow along a bifurcated artery segment which consists of a single stenosis at the parent branch. Meanwhile, to proceed with this study, blood is initially modelled as Newtonian fluid and micropolar fluid respectively in a straight stenosed artery segment. Then, the effects of gravity on Newtonian blood flow in bifurcated artery are explored. Here, a non-dimensional parameter G is introduced to describe the condition of gravity, where G is directly proportional to gravitational acceleration. The governing equations are solved numerically using the explicit finite difference method with prescribed condition of pressure and the computational algorithms are developed in Matlab software. Generally, with consideration of gravity variation, increment of gravitational acceleration causes decrement of axial velocity and increment of wall shear stress. Thus the consideration of gravity term in fluid model is necessary so that results obtained are closer to realistic conditions. Further, flow abnormalities are noticed at the branching junction from graphs of wall shear stress. This can be a crucial cause of stenosis overlapping and restenosis, which means that the structures of artery is significant in influencing blood flow patterns.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Tan, Yan Bin
author_facet	Tan, Yan Bin
author_sort	Tan, Yan Bin
title	The effects of gravitational acceleration on micropolar fluid model of blood flow in a bifurcated stenosed artery
title_short	The effects of gravitational acceleration on micropolar fluid model of blood flow in a bifurcated stenosed artery
title_full	The effects of gravitational acceleration on micropolar fluid model of blood flow in a bifurcated stenosed artery
title_fullStr	The effects of gravitational acceleration on micropolar fluid model of blood flow in a bifurcated stenosed artery
title_full_unstemmed	The effects of gravitational acceleration on micropolar fluid model of blood flow in a bifurcated stenosed artery
title_sort	effects of gravitational acceleration on micropolar fluid model of blood flow in a bifurcated stenosed artery
granting_institution	Universiti Teknologi Malaysia
granting_department	Mathematics
publishDate	2017
url	http://eprints.utm.my/id/eprint/81647/1/TanYanBinPFS2017.pdf
_version_	1747818379624841216

The effects of gravitational acceleration on micropolar fluid model of blood flow in a bifurcated stenosed artery

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