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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| Format: | Article |
| Language: | English |
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Elsevier
2021
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| Online Access: | http://eprints.uthm.edu.my/1259/ http://eprints.uthm.edu.my/1259/1/J12176_e76a6379ccaba604b1d87e54275941f4.pdf |
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| 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 |
| building | UTHM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T19:54:02Z |
| format | Article |
| id | uthm-1259 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T19:54:02Z |
| publishDate | 2021 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-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 |
| 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 |
| title | 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_short | 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 |
| topic | R Medicine (General) QA71-90 Instruments and machines |
| url | http://eprints.uthm.edu.my/1259/ http://eprints.uthm.edu.my/1259/ http://eprints.uthm.edu.my/1259/1/J12176_e76a6379ccaba604b1d87e54275941f4.pdf |