Analysis of non-Newtonian magnetic Casson blood flow in an inclined stenosed artery using Caputo-Fabrizio fractional derivatives
Jamil D.F. Saleem S. Roslan R. Al-Mubaddel F.S. Rahimi-Gorji M. Issakhov A. Din S.U.
May 2021Elsevier Ireland Ltd
Computer Methods and Programs in Biomedicine
2021#203
Background and Objective: Arterial diseases would lead to several serious disorders in the cardiovascular 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 distributed 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.
Analytical solution , Caputo-Fabrizio fractional derivatives , Inclined stenosed artery , Magnetic blood flow , Non-Newtonian fluid
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Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, Pagoh, 84600, Muar, Johor, Malaysia
Department of Mathematics. College of Science, King Khalid University, Abha, 61413, Saudi Arabia
Department of Chemical Engineering, College of Engineering, King Saud University, Riyadh, 11421, Saudi Arabia
King Abdullah City for Renewable and Atomic Energy: Energy Research and Innovation Center, (ERIC), Riyadh, 11451, Saudi Arabia
Faculty of Medicine and Health Science, Ghent University, Ghent, 9000, Belgium
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Kazakh-British Technical University, Almaty, Kazakhstan
Department of Physical and Numerical Sciences, Qurtuba University of Science and Information Technology D.I. Khan, Peshawar, 25000, Khyber Pakhtunkhwa, Pakistan
Applied Sciences and Technology
Department of Mathematics. College of Science
Department of Chemical Engineering
King Abdullah City for Renewable and Atomic Energy: Energy Research and Innovation Center
Faculty of Medicine and Health Science
Al-Farabi Kazakh National University
Kazakh-British Technical University
Department of Physical and Numerical Sciences
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