Analysis of non-Newtonian magnetic Casson blood flow in an inclined stenosed artery using Caputo-Fabrizio fractional derivatives

Jamil DF 1 , Saleem S 2 , Roslan R 3 , Al-Mubaddel FS 4 , Rahimi-Gorji M 5 , Issakhov A 6 Show all authors , Din SU 7

Affiliations 

  • 1 Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, Pagoh, 84600 Muar, Johor, Malaysia
  • 2 Department of Mathematics. College of Science, King Khalid University, Abha 61413, Saudi Arabia. Electronic address: saakhtar@kku.edu.sa
  • 3 Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, Pagoh, 84600 Muar, Johor, Malaysia. Electronic address: rozaini@uthm.edu.my
  • 4 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. Electronic address: falmubaddel@ksu.edu.sa
  • 5 Faculty of Medicine and Health Science, Ghent University, 9000 Ghent, Belgium. Electronic address: mohammad.rahimigorji@ugent.be
  • 6 Al-Farabi Kazakh National University, Almaty, Kazakhstan; Kazakh-British Technical University, Almaty, Kazakhstan
  • 7 Department of Physical and Numerical Sciences, Qurtuba University of Science and Information Technology D.I. Khan, Peshawar, 25000, Khyber Pakhtunkhwa, Pakistan
Comput Methods Programs Biomed, 2021 May;203:106044.
PMID: 33756187 DOI: 10.1016/j.cmpb.2021.106044

Abstract

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.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.

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