Analysis of the Casson fluid model for blood flow through an artery with mild stenosis

Abstract

In this paper, flow of the blood through asymmetric artery with mild stenosis has been investigated. The effect of asymmetrical shape and non–Newtonian behaviour of blood, represented by Casson fluid, are simultaneously considered. The expressions for velocity, resistance impedance, wall shear stresses and wall apparent viscosity are computed. The graphical results have been examined for different values of the parameters involved on the problem. It was observed that the resistance impedance increases as the stenosis length, stenosis size and flow rate increase, and it decreases as the stenosis shape parameter and yield value increases. It has been shown that the axial velocity and the apparent viscosity give larger values in the upper–region as compared these values in the lower–region. Also, the apparent viscosity increases as stenosis size, stenosis shape parameters and yield value increase while it decreases when flow rate increases. Further, when stenosis shape parameter increases, there is a convergence at the curves of the wall shear stresses in the upper–region while these is divergence at them in the lower–region.