Three dimensional numerical simulations of blood flow behaviour in stenotic and aneurysmal arteries

Abstract

This paper investigates the mathematical modelling of the biomagnetic fluid (human blood) flow, subjected to externally imposed various non-uniform magnetic fields. The three dimensional numerical simulation of a fully developed laminar blood flow in a long horizontal cylinder (steady Navier-Stokes equation) was verified by the analytical solution of Poiseuille flow. In allowing for the effects of the magnetic fields, the steady Navier-Stokes equations of the flow are expanded to include the Lorentz and magnetization forces. The model was used in a parametric study involving arteries with and without stenosis and aneurysm. It can be concluded that an imposed non-uniform magnetic field can create significant changes in the secondary flow patterns. Such behaviours can have interesting consequences especially in the optimization of the magnetically targeted drug delivery.