A Computational Analysis of a Two-Fluid non-Linear Mathematical Model of Pulsatile Blood Flow Through Constricted Artery

Abstract

This paper deals with the pulsatile flow of blood through a stenosed artery with the effect of body acceleration. We have considered the axially non-symmetric mild stenosis & a two layered blood flow with a core region of suspension of all erythrocytes assumed to be a Casson fluid and a peripheral layer of plasma free from cells as a Newtonian fluid. The non-linear differential equations governing the fluid flow are solved analytically and obtained the expressions for velocity, flow rate, wall shear stress, plug core radius, effective viscosity. We have discussed the effect of body acceleration, pulsatality, peripheral stenosis height and non-Newtonian behavior of blood on above mentioned flow quantities. It is found that the increase of stenosis size and yield stress increases the plug core radius, pressure drop, wall shear stress where as velocity and flow rate decreases. Body acceleration also plays a very important role in blood flow. The present study is more useful for the purpose of validation of the different models for blood flow in the different cases of stenosis.