Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction

The dispersion of solute in blood flow has gained great attention by scientists for long time due to its importance in medical field and drug manufacture. The main interest in this study is mathematical analysis for steady dispersion of solute in blood flow with chemical reaction through a stenosed...

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Main Author:	Salim Alkalbani, Sultan Rashid
Format:	Thesis
Language:	English
Published:	2020
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/102279/1/SultanRashidSalimAlKalbaniMFS2020.pdf.pdf
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spelling	my-utm-ep.1022792023-08-14T06:32:59Z Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction 2020 Salim Alkalbani, Sultan Rashid QA Mathematics The dispersion of solute in blood flow has gained great attention by scientists for long time due to its importance in medical field and drug manufacture. The main interest in this study is mathematical analysis for steady dispersion of solute in blood flow with chemical reaction through a stenosed artery. In this study, the blood is treating as a non-Newtonian of Casson fluid model. The momentum equation and constitutive equation of Casson fluid have been used to obtain the solutions of velocity and average velocity for stenosed artery. The Taylor-Aris technique is applied to get the distribution of concentration, effective axial diffusion and relative axial diffusion by considering chemical reaction. The solutions between the dispersion of solute through an artery with stenosis and without stenosis have been compared. It is found that the radius of stenosed artery decreases because of the stenosis length and stenosis height increases while in case of without stenosis the radius of the artery does not change. The effective axial diffusion decreases with the increase of yield stress of Casson fluid and chemical reaction. The relative axial diffusion decreases slightly with the increase of yield stress of Casson fluid. The increase of yield stress and Peclet number can increase the viscosity of fluid, therefore, it minimizes the relative axial diffusion. Finally, the relative axial diffusion decreases slowly with the increase of the yield stress while the relative axial diffusion increases slowly with the increase of the radius of stenosed artery. 2020 Thesis http://eprints.utm.my/id/eprint/102279/ http://eprints.utm.my/id/eprint/102279/1/SultanRashidSalimAlKalbaniMFS2020.pdf.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:146342 masters Universiti Teknologi Malaysia Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Salim Alkalbani, Sultan Rashid Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction
description	The dispersion of solute in blood flow has gained great attention by scientists for long time due to its importance in medical field and drug manufacture. The main interest in this study is mathematical analysis for steady dispersion of solute in blood flow with chemical reaction through a stenosed artery. In this study, the blood is treating as a non-Newtonian of Casson fluid model. The momentum equation and constitutive equation of Casson fluid have been used to obtain the solutions of velocity and average velocity for stenosed artery. The Taylor-Aris technique is applied to get the distribution of concentration, effective axial diffusion and relative axial diffusion by considering chemical reaction. The solutions between the dispersion of solute through an artery with stenosis and without stenosis have been compared. It is found that the radius of stenosed artery decreases because of the stenosis length and stenosis height increases while in case of without stenosis the radius of the artery does not change. The effective axial diffusion decreases with the increase of yield stress of Casson fluid and chemical reaction. The relative axial diffusion decreases slightly with the increase of yield stress of Casson fluid. The increase of yield stress and Peclet number can increase the viscosity of fluid, therefore, it minimizes the relative axial diffusion. Finally, the relative axial diffusion decreases slowly with the increase of the yield stress while the relative axial diffusion increases slowly with the increase of the radius of stenosed artery.
format	Thesis
qualification_level	Master's degree
author	Salim Alkalbani, Sultan Rashid
author_facet	Salim Alkalbani, Sultan Rashid
author_sort	Salim Alkalbani, Sultan Rashid
title	Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction
title_short	Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction
title_full	Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction
title_fullStr	Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction
title_full_unstemmed	Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction
title_sort	mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction
granting_institution	Universiti Teknologi Malaysia
granting_department	Faculty of Science
publishDate	2020
url	http://eprints.utm.my/id/eprint/102279/1/SultanRashidSalimAlKalbaniMFS2020.pdf.pdf
_version_	1776100885995192320

Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction

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