Hartmann and Reynolds Numbers Effects in the Newtonian Blood Flow of a Bifurcated Artery with an Overlapping Stenosis

Authors

  • Norliza Mohd Zain Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia
  • Zuhaila Ismail Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia

DOI:

https://doi.org/10.11113/matematika.v35.n2.1177

Abstract

Abstract Blood flow through a bifurcated artery with the presence of an overlapping stenosis located at parent’s arterial lumen under the action of a uniform external magnetic field is studied in this paper. Blood is treated as an electrically conducting fluid which exhibits the Magnetohydrodynamics principle and it is characterized by a Newtonian fluid model. The governing equations are discretized using a stabilization technique of finite element known as Galerkin least-squares. The maximum velocity and pressure drop evaluated in this present study are compared with the results found in previous literature and COMSOL Multiphysics. The solutions found in a satisfactory agreement, thus verify the source code is working properly. The effects of dimensionless parameters of Hartmann and Reynolds numbers in the fluid’s velocity and pressure are examined in details with further scientific discussions.

Author Biographies

Norliza Mohd Zain, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia

DEPARTMENT OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCE

Zuhaila Ismail, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia

DEPARTMENT OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCE

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Published

2019-07-31

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Section

Articles