Numerical Simulation of Nonlinear Pulsatile Newtonian Blood Flow through a Multiple Stenosed Artery.

Satyasaran Changdar,Soumen De

doi:10.1155/2015/628605

Abstract

An appropriate nonlinear blood flow model under the influence of periodic body acceleration through a multiple stenosed artery is investigated with the help of finite difference method. The arterial segment is simulated by a cylindrical tube filled with a viscous incompressible Newtonian fluid described by the Navier-Stokes equation. The nonlinear equation is solved numerically with the proper boundary conditions and pressure gradient that arise from the normal functioning of the heart. Results are discussed in comparison with the existing models.

Highlights

At present the investigation of blood flow analysis in a stenosed artery is very important in the medical domain because of the fact that many of the diseases such as heart attacks and strokes are related to blood flow and the physical characteristic of vessel wall
Many investigators have focused their attention on blood flow through stenosed arteries with single stenosis by Mekheimer [2, 3], Chakravarty and Mandal [4], Lee and Xu [5], who pointed out that the mathematical model becomes more accurate in the presence of an overlapping stenosis instead of a mild one
Ang and Mazumdar [6] studied asymmetric arterial blood flow with numerical solution in three dimensions, and Ikbal et al [7] have worked on unsteady response of non-Newtonian blood flow in magnetic field without considering periodic body acceleration

Summary

Introduction

At present the investigation of blood flow analysis in a stenosed artery is very important in the medical domain because of the fact that many of the diseases such as heart attacks and strokes are related to blood flow and the physical characteristic of vessel wall. Ang and Mazumdar [6] studied asymmetric arterial blood flow with numerical solution in three dimensions, and Ikbal et al [7] have worked on unsteady response of non-Newtonian blood flow in magnetic field without considering periodic body acceleration. Stroud et al [9] have studied a 2D plaque model using modeling and simulation while Fischer et al [10] worked on numerical method for the computational study of arterial blood flow with turbulence. Blood shows a non-Newtonian behaviour at low shear rates in tubes of smaller diameters, and Taylor [15] suggested that at high shear rates commonly found in larger arteries blood behaves like a Newtonian fluid

Methods

Results

Conclusion