Unsteady mathematical analysis of non-Newtonian blood flow models in a double stenosed artery

The simultaneous effect of pulsatile blood flow and double stenoses with different severities, lengths, and interspacing on mass transport using the Newtonian as well as the non-Newtonian power-law models of blood flow are considered in this thesis. These models are important from a physiological pe...

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Main Author:	Alsemiry, Reima Daher
Format:	Thesis
Language:	English
Published:	2021
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/102368/1/ReimaDaherAlsemiryPFS2021.pdf
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spelling	my-utm-ep.1023682023-08-28T06:14:50Z Unsteady mathematical analysis of non-Newtonian blood flow models in a double stenosed artery 2021 Alsemiry, Reima Daher QA Mathematics The simultaneous effect of pulsatile blood flow and double stenoses with different severities, lengths, and interspacing on mass transport using the Newtonian as well as the non-Newtonian power-law models of blood flow are considered in this thesis. These models are important from a physiological perspective as their effects on certain blood flow characteristics that are clinically significant can be analysed. The effect of some essential issues like the diffusivity of mass and the rate of absorption at the lumen-tissue interface are also studied to investigate the effectiveness of solute delivery. The flow is considered two-dimensional, unsteady and axisymmetric in the cylindrical polar coordinate system, while the transport of mass is modelled as an unsteady convection-diffusion equation. A numerical technique in the form of finite-difference approximations in staggered grids, widely known as the Marker and Cell (MAC) method has been used to tackle the coupled system of non-linear partial differential equations. Simultaneous effects of pulsatile flow conditions and double stenoses show an increase in the pressure drop across the stenosis length, as well as in the transport of mass at the throat and mass flux at the artery wall. The delivery of solute is observed to be more effective in the non-Newtonian model. In this study, another concern is on the effect of catheter’s eccentricity on blood flow and heat transfer characteristics using the Carreau model. The perturbation method which is an approximate analytical technique, has been applied to the catheter problem. The accuracy of results is confirmed in the limiting cases, where the existing solutions in the literature are recovered as special cases. The position of the catheter’s eccentricity in Carreau fluid leads to a reduction in the number and size of the circulating bolus zone which agree with physiological observations that the risks and complications associated with catheterization are alleviated when the eccentric position of the catheter is considered. The results of the simulation could provide insights towards the detection of aggregation sites, allowing the treatment of disease to be initiated quickly before it becomes clinically significant. 2021 Thesis http://eprints.utm.my/id/eprint/102368/ http://eprints.utm.my/id/eprint/102368/1/ReimaDaherAlsemiryPFS2021.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:146076 phd doctoral 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 Alsemiry, Reima Daher Unsteady mathematical analysis of non-Newtonian blood flow models in a double stenosed artery
description	The simultaneous effect of pulsatile blood flow and double stenoses with different severities, lengths, and interspacing on mass transport using the Newtonian as well as the non-Newtonian power-law models of blood flow are considered in this thesis. These models are important from a physiological perspective as their effects on certain blood flow characteristics that are clinically significant can be analysed. The effect of some essential issues like the diffusivity of mass and the rate of absorption at the lumen-tissue interface are also studied to investigate the effectiveness of solute delivery. The flow is considered two-dimensional, unsteady and axisymmetric in the cylindrical polar coordinate system, while the transport of mass is modelled as an unsteady convection-diffusion equation. A numerical technique in the form of finite-difference approximations in staggered grids, widely known as the Marker and Cell (MAC) method has been used to tackle the coupled system of non-linear partial differential equations. Simultaneous effects of pulsatile flow conditions and double stenoses show an increase in the pressure drop across the stenosis length, as well as in the transport of mass at the throat and mass flux at the artery wall. The delivery of solute is observed to be more effective in the non-Newtonian model. In this study, another concern is on the effect of catheter’s eccentricity on blood flow and heat transfer characteristics using the Carreau model. The perturbation method which is an approximate analytical technique, has been applied to the catheter problem. The accuracy of results is confirmed in the limiting cases, where the existing solutions in the literature are recovered as special cases. The position of the catheter’s eccentricity in Carreau fluid leads to a reduction in the number and size of the circulating bolus zone which agree with physiological observations that the risks and complications associated with catheterization are alleviated when the eccentric position of the catheter is considered. The results of the simulation could provide insights towards the detection of aggregation sites, allowing the treatment of disease to be initiated quickly before it becomes clinically significant.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Alsemiry, Reima Daher
author_facet	Alsemiry, Reima Daher
author_sort	Alsemiry, Reima Daher
title	Unsteady mathematical analysis of non-Newtonian blood flow models in a double stenosed artery
title_short	Unsteady mathematical analysis of non-Newtonian blood flow models in a double stenosed artery
title_full	Unsteady mathematical analysis of non-Newtonian blood flow models in a double stenosed artery
title_fullStr	Unsteady mathematical analysis of non-Newtonian blood flow models in a double stenosed artery
title_full_unstemmed	Unsteady mathematical analysis of non-Newtonian blood flow models in a double stenosed artery
title_sort	unsteady mathematical analysis of non-newtonian blood flow models in a double stenosed artery
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2021
url	http://eprints.utm.my/id/eprint/102368/1/ReimaDaherAlsemiryPFS2021.pdf
_version_	1776100906775871488

Unsteady mathematical analysis of non-Newtonian blood flow models in a double stenosed artery

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