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Mathematical analysis of unsteady solute dispersion with chemical reaction through a stenosed artery

One major kind of arterial disease in blood flow that attracted many researchers is arterial stenosis. Arterial stenosis occurs when a lumen of artery is narrowed by the accumulation of fats, cholesterols and lipids plaques at the inner layer of the wall of an artery. To treat this arterial disease,...

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Main Authors: Jaafar, Nurul Aini, Mohd. Zainul Abidin, Siti NurulAifa, Ismail, Zuhaila, Mohamad, Ahmad Qushairi
Format: Article
Language:English
Published: Penerbit Akademia Baru 2021
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/97646/1/NurulAiniJaafar2021_MathematicalAnalysisofUnsteadySoluteDispersion.pdf
http://eprints.utm.my/id/eprint/97646/
http://dx.doi.org/10.37934/arfmts.86.2.5673
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spelling my.utm.976462022-10-25T09:52:28Z http://eprints.utm.my/id/eprint/97646/ Mathematical analysis of unsteady solute dispersion with chemical reaction through a stenosed artery Jaafar, Nurul Aini Mohd. Zainul Abidin, Siti NurulAifa Ismail, Zuhaila Mohamad, Ahmad Qushairi QA Mathematics One major kind of arterial disease in blood flow that attracted many researchers is arterial stenosis. Arterial stenosis occurs when a lumen of artery is narrowed by the accumulation of fats, cholesterols and lipids plaques at the inner layer of the wall of an artery. To treat this arterial disease, the drug (solute) is injected into the blood vessels. Injection of the drug into the blood vessel cause the occurrence of chemical reaction between the drug and blood proteins and it affects the effectiveness of the solute transportation in blood flow. Hence, this study examines the unsteady dispersion of solute with the influence of chemical reaction and stenosis height through a very narrow artery with a cosine-curved stenosis. The blood is treating as Herschel-Bulkley (H-B) fluid. The momentum and constitutive equations are solved analytically to gain velocity of H-B blood flow. The convective-diffusion equation is solved by applying the generalized dispersion model to gain the dispersion function of solute. The influence of chemical reaction, power-law index, plug flow radius and stenosis height on the solute dispersion process is investigated. The results are validated with the previous solution without the effect of chemical reaction and stenosis. The results showed a good conformity between the two solutions. An increase in the chemical reaction coefficient, stenosis height, power-law index and plug flow radius reduces the dispersion function. It is observed that the solute dispersion in blood flow is affected by chemical reaction and stenosis height. H-B fluid is an appropriate fluid to investigate the blood velocity and transportation of the drug in blood flow to the targeted stenosed region through a very narrow artery for the treatment of arterial diseases. The results of the present study can potentially be used to predict the changes of blood flow behavior and dispersion process in blood flow. Penerbit Akademia Baru 2021 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/97646/1/NurulAiniJaafar2021_MathematicalAnalysisofUnsteadySoluteDispersion.pdf Jaafar, Nurul Aini and Mohd. Zainul Abidin, Siti NurulAifa and Ismail, Zuhaila and Mohamad, Ahmad Qushairi (2021) Mathematical analysis of unsteady solute dispersion with chemical reaction through a stenosed artery. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 86 (2). pp. 56-73. ISSN 2289-7879 http://dx.doi.org/10.37934/arfmts.86.2.5673 DOI : 10.37934/arfmts.86.2.5673
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
Jaafar, Nurul Aini
Mohd. Zainul Abidin, Siti NurulAifa
Ismail, Zuhaila
Mohamad, Ahmad Qushairi
Mathematical analysis of unsteady solute dispersion with chemical reaction through a stenosed artery
description One major kind of arterial disease in blood flow that attracted many researchers is arterial stenosis. Arterial stenosis occurs when a lumen of artery is narrowed by the accumulation of fats, cholesterols and lipids plaques at the inner layer of the wall of an artery. To treat this arterial disease, the drug (solute) is injected into the blood vessels. Injection of the drug into the blood vessel cause the occurrence of chemical reaction between the drug and blood proteins and it affects the effectiveness of the solute transportation in blood flow. Hence, this study examines the unsteady dispersion of solute with the influence of chemical reaction and stenosis height through a very narrow artery with a cosine-curved stenosis. The blood is treating as Herschel-Bulkley (H-B) fluid. The momentum and constitutive equations are solved analytically to gain velocity of H-B blood flow. The convective-diffusion equation is solved by applying the generalized dispersion model to gain the dispersion function of solute. The influence of chemical reaction, power-law index, plug flow radius and stenosis height on the solute dispersion process is investigated. The results are validated with the previous solution without the effect of chemical reaction and stenosis. The results showed a good conformity between the two solutions. An increase in the chemical reaction coefficient, stenosis height, power-law index and plug flow radius reduces the dispersion function. It is observed that the solute dispersion in blood flow is affected by chemical reaction and stenosis height. H-B fluid is an appropriate fluid to investigate the blood velocity and transportation of the drug in blood flow to the targeted stenosed region through a very narrow artery for the treatment of arterial diseases. The results of the present study can potentially be used to predict the changes of blood flow behavior and dispersion process in blood flow.
format Article
author Jaafar, Nurul Aini
Mohd. Zainul Abidin, Siti NurulAifa
Ismail, Zuhaila
Mohamad, Ahmad Qushairi
author_facet Jaafar, Nurul Aini
Mohd. Zainul Abidin, Siti NurulAifa
Ismail, Zuhaila
Mohamad, Ahmad Qushairi
author_sort Jaafar, Nurul Aini
title Mathematical analysis of unsteady solute dispersion with chemical reaction through a stenosed artery
title_short Mathematical analysis of unsteady solute dispersion with chemical reaction through a stenosed artery
title_full Mathematical analysis of unsteady solute dispersion with chemical reaction through a stenosed artery
title_fullStr Mathematical analysis of unsteady solute dispersion with chemical reaction through a stenosed artery
title_full_unstemmed Mathematical analysis of unsteady solute dispersion with chemical reaction through a stenosed artery
title_sort mathematical analysis of unsteady solute dispersion with chemical reaction through a stenosed artery
publisher Penerbit Akademia Baru
publishDate 2021
url http://eprints.utm.my/id/eprint/97646/1/NurulAiniJaafar2021_MathematicalAnalysisofUnsteadySoluteDispersion.pdf
http://eprints.utm.my/id/eprint/97646/
http://dx.doi.org/10.37934/arfmts.86.2.5673
_version_ 1748180488367898624
score 13.211869

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