Magnetic nanoparticles, such as Superparamagnetic iron Oxide Nanoparticles (Fe3O4) are used in this theoretical study. These particles represent a unique nanoplatform with a great potential for the development of drug delivery systems via blood vessels, due to their biocompatibility and stability. The mechanisms of magnetic nanoparticles moving in Newtonian fluid (blood) in a static magnetic field are numerically studied. The equations of motion for particles in the flow are governed by a combination of magnetic equations for the permanent magnet field and the Navier-Stokes equations for fluid. These equations were solved numerically using the COMSOL Multiphysics Modeling Software.
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.
The paper presents theoretical study of biomagnetic fluid (such as blood) flow through a tube under magnetic external field. In this work, we consider blood as a conducting and magnetic fluid that is Newtonian and incompressible. The motion of blood in a tube is described by Navier Stokes and continuity equations. The magnetic field effect on a limit region from the tube, where behavior of blood stream is changed. In dependence of the distance from the field localization, the concentration of magnetic cells of blood is changed, and their velocity shape is different from the original one (parabolic form).
This work is very important for many biomedical applications and bioengineering such as magnetic resonance imaging (MRI), magnetic drug delivery and targeting, magnetic separation and hyperthermic treatments.
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