A mathematical model for the blood flow in a modeled artery with a stenosis and an aneurysm

Abstract

Mathematical modeling of blood flows in the stenosed arteries is a crucial and demanding problem. The pulsatile simulations of blood flow through two three-dimensional models of an arterial stenosis and an aneurysm are investigated in this study. Power Law, Casson, Carreau and the Generalized Power Law, these four non-Newtonian blood models as well as the Newtonian model of blood viscosity are used to investigate the flow effects induced by the different blood constitutive equations. There are three main purpose of this study. First purpose is to investigate the variation in wall shear stress in a stenosed artery or aneurysm at different flow rates and degrees of severity. Second purpose is to compare and quantify the difference of the various blood models and judge their significance and lastly, to determine whether the use of the Newtonian blood model is appropriate over a wide range of shear rates.