A Numerical Study on The Unsteady Blood Flow in Multiple Stenotic Artery With The Effect of Magnetic Field

Tan, Sueh Feng (2019) A Numerical Study on The Unsteady Blood Flow in Multiple Stenotic Artery With The Effect of Magnetic Field. Final Year Project (Bachelor), Tunku Abdul Rahman University College.

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Abstract

In this study, influence of magnetic field on blood flows through a stenotic segment of artery has been investigated. Geometry of stenotic artery is assumed to be axisymmetric and having a regular geometric shape. Blood flow in the vessel is assumed to be unsteady, incompressible, laminar and Newtonian. The main objective of this study is to model the blood flows in the multiple stenotic artery with the effect of applied magnetic field using partial differential equation. Solutions to radial and axial velocities are obtained by applying numerical finite difference method. Then, characteristics of the flow is analysed. Geometry of stenotic artery is plotted using Matlab. The continuity equation and momentum equations, together with the boundary and initial conditions, are derived analytically and then transformed using radial coordinate transformation. Next, the continuity equation after radial coordinate transformation is used to derive radial velocity component. Axial momentum equation and boundary condition after radial coordinate transformation are discretised. With the assistance of graph plotted using Matlab, the behaviour and characteristics of blood flow through the stenotic artery are discussed. It is found that all the flow characteristics are affected by the presence of multiple stenosis and exposure of magnetic field of different intensities.