Numerical simulation of the flow of nano-eyring-powell fluid through a curved artery with time-variant stenosis and aneurysm

Abstract

In this paper, the flow of blood through a curved vessel having stenosis and aneurysm is investigated. To evaluate the impact of stenosis and aneurysm in a curved channel, the curvilinear coordinates are used to formulate a suitable geometry. The flow and heat transfer are investigated in the presence of nanoparticles that play a significant role in blood flows through arteries and they are gaining popularity in hematological treatment. The dynamical behavior of blood flow is modeled by using Eyring-Powell fluid model and the coupled partial differential equations are formulated to study the blood rheology. The flow, and heat and mass transfer equations are numerically solved by using finite difference scheme. The effect of some significant parameters on blood flow through a curved channel with stenosis and aneurysm is discussed and displayed in graphs. The pattern of blood flow is also depicted through geometrical patterns.