Numerical Study of Two Dimensional Steady Incompressible Newtonian Laminar Flow of Blood Through Constricted Artery

Authors

  • Jonathan Tsetimi Delta State University, Abraka Delta State, Nigeria
  • Ebimene James Mamadu Delta State University, Abraka, Delta State, Nigeria

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4245

Abstract

In this work, a numerical study of two dimensional steady, incompressible Newtonian laminar ow of blood through a stenosed (constricted) artery is investigated. The VariationalIteration Method (VIM) is employed to obtain the analytic expressions for the velocity prole and pressure gradient. The results obtained are graphically discussed for mild stenosis (25%) for low Reynolds number in the range 20{100. The signicance of the analysis is identied by comparing the results obtained with similar studies in existing literature, and established a good
agreement. The results obtained reveal alterations in blood ow due to presence of stenosis in arterial wall and the implications are discussed.

Author Biographies

  • Jonathan Tsetimi, Delta State University, Abraka Delta State, Nigeria

    Department of Mathematics

    Associate Profeessor

  • Ebimene James Mamadu, Delta State University, Abraka, Delta State, Nigeria

    Department

    Assistant Lecturer and PhD Student

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Published

2022-01-31

Issue

Vol. 15 No. 1: (January 2022)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Numerical Study of Two Dimensional Steady Incompressible Newtonian Laminar Flow of Blood Through Constricted Artery. (2022). European Journal of Pure and Applied Mathematics, 15(1), 314-327. https://doi.org/10.29020/nybg.ejpam.v15i1.4245