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Analysis of non-newtonian magnetic casson blood flow in an inclined stenosed artery using caputo-fabrizio fractional derivatives

Background and Objective: Arterial diseases would lead to several serious disorders in the cardiovascu- lar system such as atherosclerosis. These disorders are mainly caused by the presence of fatty deposits, cholesterol and lipoproteins inside blood vessel. This paper deals with the analysis of non...

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Main Authors: Jamil, Dzuliana Fatin, Saleem, S., Roslan, Rozaini, Al-Mubaddel, Fahad S., Gorji, Mohammad Rahimi, Issakhov, Alibek, Ud Din, Salah
格式: Article
語言:English
出版: Elsevier 2021
主題:
R Medicine (General)
QA71-90 Instruments and machines
在線閱讀:http://eprints.uthm.edu.my/1259/1/J12176_e76a6379ccaba604b1d87e54275941f4.pdf
http://eprints.uthm.edu.my/1259/
https://doi.org/10.1016/j.cmpb.2021.106044
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spelling my.uthm.eprints.12592021-10-18T02:40:45Z http://eprints.uthm.edu.my/1259/ Analysis of non-newtonian magnetic casson blood flow in an inclined stenosed artery using caputo-fabrizio fractional derivatives Jamil, Dzuliana Fatin Saleem, S. Roslan, Rozaini Al-Mubaddel, Fahad S. Gorji, Mohammad Rahimi Issakhov, Alibek Ud Din, Salah R Medicine (General) QA71-90 Instruments and machines Background and Objective: Arterial diseases would lead to several serious disorders in the cardiovascu- lar system such as atherosclerosis. These disorders are mainly caused by the presence of fatty deposits, cholesterol and lipoproteins inside blood vessel. This paper deals with the analysis of non-Newtonian magnetic blood flow in an inclined stenosed artery. Methods: The Casson fluid was used to model the blood that flows under the influences of uniformly dis- tributed magnetic field and oscillating pressure gradient. The governing fractional differential equations were expressed using the Caputo Fabrizio fractional derivative without singular kernel. Results: The analytical solutions of velocities for non-Newtonian model were then calculated by means of Laplace and finite Hankel transforms. These velocities were then presented graphically. The result shows that the velocity increases with respect to Reynolds number and Casson parameter, while decreases when Hartmann number increases. Conclusions: Casson blood was treated as the non-Newtonian fluid. The MHD blood flow was accelerated by pressure gradient. These findings are beneficial for studying atherosclerosis therapy, the diagnosis and therapeutic treatment of some medical problems. Elsevier 2021 Article PeerReviewed text en http://eprints.uthm.edu.my/1259/1/J12176_e76a6379ccaba604b1d87e54275941f4.pdf Jamil, Dzuliana Fatin and Saleem, S. and Roslan, Rozaini and Al-Mubaddel, Fahad S. and Gorji, Mohammad Rahimi and Issakhov, Alibek and Ud Din, Salah (2021) Analysis of non-newtonian magnetic casson blood flow in an inclined stenosed artery using caputo-fabrizio fractional derivatives. Computer Methods and Programs in Biomedicine, 203. pp. 1-11. ISSN 0169-2607 https://doi.org/10.1016/j.cmpb.2021.106044
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic R Medicine (General)
QA71-90 Instruments and machines
spellingShingle R Medicine (General)
QA71-90 Instruments and machines
Jamil, Dzuliana Fatin
Saleem, S.
Roslan, Rozaini
Al-Mubaddel, Fahad S.
Gorji, Mohammad Rahimi
Issakhov, Alibek
Ud Din, Salah
Analysis of non-newtonian magnetic casson blood flow in an inclined stenosed artery using caputo-fabrizio fractional derivatives
description Background and Objective: Arterial diseases would lead to several serious disorders in the cardiovascu- lar system such as atherosclerosis. These disorders are mainly caused by the presence of fatty deposits, cholesterol and lipoproteins inside blood vessel. This paper deals with the analysis of non-Newtonian magnetic blood flow in an inclined stenosed artery. Methods: The Casson fluid was used to model the blood that flows under the influences of uniformly dis- tributed magnetic field and oscillating pressure gradient. The governing fractional differential equations were expressed using the Caputo Fabrizio fractional derivative without singular kernel. Results: The analytical solutions of velocities for non-Newtonian model were then calculated by means of Laplace and finite Hankel transforms. These velocities were then presented graphically. The result shows that the velocity increases with respect to Reynolds number and Casson parameter, while decreases when Hartmann number increases. Conclusions: Casson blood was treated as the non-Newtonian fluid. The MHD blood flow was accelerated by pressure gradient. These findings are beneficial for studying atherosclerosis therapy, the diagnosis and therapeutic treatment of some medical problems.
format Article
author Jamil, Dzuliana Fatin
Saleem, S.
Roslan, Rozaini
Al-Mubaddel, Fahad S.
Gorji, Mohammad Rahimi
Issakhov, Alibek
Ud Din, Salah
author_facet Jamil, Dzuliana Fatin
Saleem, S.
Roslan, Rozaini
Al-Mubaddel, Fahad S.
Gorji, Mohammad Rahimi
Issakhov, Alibek
Ud Din, Salah
author_sort Jamil, Dzuliana Fatin
title Analysis of non-newtonian magnetic casson blood flow in an inclined stenosed artery using caputo-fabrizio fractional derivatives
title_short Analysis of non-newtonian magnetic casson blood flow in an inclined stenosed artery using caputo-fabrizio fractional derivatives
title_full Analysis of non-newtonian magnetic casson blood flow in an inclined stenosed artery using caputo-fabrizio fractional derivatives
title_fullStr Analysis of non-newtonian magnetic casson blood flow in an inclined stenosed artery using caputo-fabrizio fractional derivatives
title_full_unstemmed Analysis of non-newtonian magnetic casson blood flow in an inclined stenosed artery using caputo-fabrizio fractional derivatives
title_sort analysis of non-newtonian magnetic casson blood flow in an inclined stenosed artery using caputo-fabrizio fractional derivatives
publisher Elsevier
publishDate 2021
url http://eprints.uthm.edu.my/1259/1/J12176_e76a6379ccaba604b1d87e54275941f4.pdf
http://eprints.uthm.edu.my/1259/
https://doi.org/10.1016/j.cmpb.2021.106044
_version_ 1738580839310032896
score 13.251813

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