Modelling of Newtonian blood flow through a bifurcated artery with the presence of an overlapping stenosis

Abstract

Mathematical modelling of blood flow is developed by treating the blood as a Newtonian fluid. In this study, stenosis has been accounted as an overlapping shaped in two-dimensional Cartesian coordinate system. Blood are assumed as steady laminar flow, fully developed and incompressible which flowing through an arterial bifurcation where the wall considered rigid with no-slip condition. Galerkin weighted residual method is performed and a Matlab code is developed to solve the problem. To validate the code, comparison has been made with the results obtained by COMSOL Multiphysics. Results on the velocity profiles and the streamlines pattern are observed and discussed in details.