Open AccessNumerical Study of Two Dimensional Steady Incompressible Newtonian Laminar Flow of Blood Through Constricted Artery
Author(s) -
Jonathan Tsetimi,
Ebimene James Mamadu
Publication year - 2022
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v15i1.4245
Subject(s) - laminar flow , newtonian fluid , mathematics , reynolds number , compressibility , non newtonian fluid , blood flow , stenosis , pressure gradient , flow (mathematics) , artery , incompressible flow , mechanics , geometry , cardiology , medicine , physics , turbulence
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 goodagreement. The results obtained reveal alterations in blood ow due to presence of stenosis in arterial wall and the implications are discussed.