Effect of non-uniform magnetic field on biomagnetic fluid flow in a 3D channel

In this study, the influence of the magnetic field due to a wire carrying electric current on the biomagnetic fluid flow in a three dimensional channel was simulated numerically. A new method for finding appropriate computational grid to achieve grid independency has been introduced. Appropriate computational grid is a grid that almost covers the magnetic force accurately. Individual effect of the Lorentz force and the magnetic force arising from the magnetization of the magnetic field on the fluid flow has been investigated. Study carried out for the range of magnetic number (Mn) and Stuart number (N) that are consistent with the biomagnetic fluid properties. Results indicate that the Lorentz force does not have a significant effect on the fluid flow, and the fluid flow is affected by the magnetic force arising from the magnetization. This magnetic field causes a secondary flow creation which is considerable in the velocity profile. Also results show that existence of the secondary flow increases non-axial shear stress on the channel walls.