Abstract

The paper presents theoretical study of magnetic nanoparticles through blood stream in the presence of magnetic field. This field created from a permanent magnet localized outside the tube and perpendicular to flow direction. The capillary tube has a rectangular cross-section with a length l and a width w. Behavior of such particles in a permanent magnet depends on the intensity of magnetic field. Therefore, under a uniform magnetic field, particles aligned along the lines of magnetic field strength. However, for a non-uniform magnetic field, the particles move towards the area where the magnetic field strength is higher and, thus, concentration of particles in this region becomes bigger. The capture and accumulation of particles depend on many parameters, such as magnetic field strength and distance between the surface of magnet and the capillary wall. The motion equation describing magnetic nanoparticles / blood flow and governed by a combination of the magnetic equation for the permanent magnet and the Navier-Stokes equation for fluid (blood) was solved numerically using the COMSOL Multiphysics® Modeling Software.

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