Mathematical analysis of blood flow through stenosed artery considering the axial variation of viscosity using Herschel-Bulkley Non-Newtonian fluid model

Abstract

In this article, a mathematical model is developed to study the effect of Non-Newtonian behavior of blood through stenosed artery considering Herschel-Bulkely fluid model. The constitutive equations of the model are solved analytically with the help of given boundary conditions to get different expression for flow rate, flow resistance and wall shear stress. It is observed that the flow rate decreases with stenosis size. It has been shown that the resistance to flow and wall shear stress increases with the size of stenosis, but these increases is comparatively small due to Non-Newtonian type of blood and also comparison of these flow paraneters has been done for linear and quadratic variation of viscosity.