Numerical simulation on convection-diffusion in an overlapping stenosed artery

Ilyani Abdullah,Siti Noor Izzati Che Mohd Sabri,Amira Husni Talib

doi:10.11113/mjfas.v9n3.102

Ilyani Abdullah, Siti Noor Izzati Che Mohd Sabri + Show 1 more

Open Access

https://doi.org/10.11113/mjfas.v9n3.102

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Abstract

Consider an unsteady Newtonian blood flow coupled with mass transport in which flowing through an artery with the presence of an overlapping stenosis. The flowing blood is governed by nonlinear partial differential equations while the convection-diffusion equation to blood is employed to couple with the Newtonian equation in order to characterize the mass transport of blood-borne components such as low-density lipoprotein (LDL). This mass transport refers to the movement of blood-borne molecules from flowing blood into the artery wall, or vice versa. These coupled equations are solved numerically using finite-difference method with an appropriate prescribed initial and boundary conditions. The graphical results of velocity profiles and mass concentration of the solute are presented along the distributions over the entire considered arterial segment. These results show the important role of mass transport in stenosed artery.

Highlights

Mass transport of blood-borne is referred to the movement of macromolecules, such as low-density lipoprotein (LDL) and oxygen, between the flowing blood and the arterial wall
As noted by [2], the occurrence of mass transfer between blood flow and arterial wall is caused by the pressure difference across the luminal surface
The goal of this study is to investigate the distribution of the velocity and mass concentration in an overlapping stenosed artery

Summary

Introduction

Mass transport of blood-borne is referred to the movement of macromolecules, such as low-density lipoprotein (LDL) and oxygen, between the flowing blood and the arterial wall. It is claimed by [1] that the transport of these macromolecules has been linked to atherogenesis, the formation of subintimal plaques in the lining of arteries. As noted by [2], the occurrence of mass transfer between blood flow and arterial wall is caused by the pressure difference across the luminal surface. The mass transport on stenosed and non-stenotic artery has been investigated in [1], [4]-[7] and some researchers considered a fluid-wall multilayer model ([8]-[10])

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