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

How to Cite

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

Issue

Vol. 15 No. 1: (January 2022)

Section

Nonlinear Analysis

License

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