Effect on flow characteristics of blood in overlapping stenosed artery considering the axial variation of viscosity using power-law non-Newtonian fluid model

Abstract

In the present investigation, a mathematical model is developed to study the effect of non-Newtonian behaviour of blood on overlapping stenosed artery considering power-law fluid model. The constitutive equations of the model are solved analytically with the help of given boundary conditions to get different expressions for flow characteristics such as flow rate, flow resistance and wall shear stress considering no-slip condition at the wall and viscosity variation as axial. The flow of blood is taken to be steady, incompressible, laminar and one-dimensional. In this paper, we have concluded that the flow rate decreases while flow resistance and wall shear stress increases with the increase in stenosis size and also the comparison of these flow characteristics has been done for linear and quadratic variation of viscosity.