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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
http://eprints.utm.my/id/eprint/102279/
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spelling my.utm.1022792023-08-14T06:32:59Z http://eprints.utm.my/id/eprint/102279/ Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction 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 NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/102279/1/SultanRashidSalimAlKalbaniMFS2020.pdf.pdf Salim Alkalbani, Sultan Rashid (2020) Mathematical analysis of casson fluid model fordispersion of solute in blood flow through stenosed artery with chemical reaction. Masters thesis, Universiti Teknologi Malaysia. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:146342
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
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
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
publishDate 2020
url http://eprints.utm.my/id/eprint/102279/1/SultanRashidSalimAlKalbaniMFS2020.pdf.pdf
http://eprints.utm.my/id/eprint/102279/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:146342
_version_ 1775621964106301440
score 13.211869

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