A Mathematical Modeling of Newtonian Blood Flow Through Arterial Mild Stenosis

Abstract

Mathematical models in health science are usually used to study the blood flow behaviors into the artery. The blood flow through the artery is modeled as an incompressible and homogenous Newtonian fluid, and the flow is assumed to be steady and laminar. Stenosis is an abnormal narrowing in arteries for excess fat deposition that restricts the normal pattern of blood flow through arteries and may cause a heart attack. It is evident that the stenosis in artery may develop due to the accumulation of fat, cholesterol, and abnormal intravascular growth of tissue. The stenosis is to be symmetric about the axis of artery and the flow of blood is axisymmetric. The shear stress has direct proportional relation with both length and height of stenosis. This study uses Navier-Stokes equations in a cylindrical coordinate system and assumes axial symmetry under laminar flow to discuss the blood flow through the mild stenosis artery.