Velocity distribution of biomagnetic blood flow through a cosine-shaped stenosed artery

Abstract

In the present study, a mathematical model of a Biomagnetic Fluid Dynamics (BFD) for a Newtonian, two- dimensional blood flow coupled with mass transfer under the influence of magnetic field is developed. The Navier-Stokes equations are used to describe the blood flow in cylindrical coordinate system that pass through a cosine-shape stenosis. This model taking into account both magnetization and electrical conductivity of blood which is consistent with the principles of Ferrohydrodynamics (FHD) and Magnetohydrodynamics (MHD). The governing equations for this problem are then solved using a finite difference Marker and Cell (MAC) method with an appropriate initial and boundary conditions. The Poisson equation of pressure is solved by successive-over-relaxation (S.O.R.) method. Pressure-velocity corrections are imposed to get a more accurate velocity field. The effect of magnetic field strength and intensity on the velocity profiles are obtained and presented in a graphical form and also discussed in this paper. It is obtained that the magnetic field intensity plays a significance role to the velocity profile, where the magnetic field intensity is determined by the distance of the wire from the wall, b.