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

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

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Official URL: https://doi.org/10.1016/j.cmpb.2021.106044

Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	Non-Newtonian fluid; magnetic blood flow; inclined stenosed artery; caputo-fabrizio fractional derivatives; analytical solution.
Subjects:	R Medicine > R Medicine (General) Q Science > QA Mathematics > QA71-90 Instruments and machines
Depositing User:	Mr. Abdul Rahim Mat Radzuan
Date Deposited:	18 Oct 2021 02:40
Last Modified:	18 Oct 2021 02:40
URI:	http://eprints.uthm.edu.my/id/eprint/1259

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