Capture of Submicron Particles in Magnetized Granular Filled Beds

Abstract

The diffusion separation of micron and submicron sized particles was examined theoretically in the gradient magnetic field formed by tangent ferromagnetic spheres magnetized in external homogeneous magnetic field. In the gradient field around the tangent points of the magnetized spheres, the analytical solution of the diffusion equation for steady states is obtained by using the expression of the magnetic force acting on the submicron-sized particle. The concentration distribution of the particles in these regions was calculated. An analytical formula has been developed to evaluate the critical dimensions of the diffused particles considering the magnetic, hydrodynamic, temperature and geometric parameters of the system. According to the results obtained, it was observed that the critical magnetic dimensions of the particles decreased with increasing external magnetic field. It is emphasized that this decrease can be up to the singledomain structure of the particles. According to the analytical calculations, the critical dimensions of the particles were found to be independent of the dimensions of the spheres. However, in the diffusion events occurring in the gradient magnetic field formed by ferromagnetic spheres, the critical dimensions of the particles are independent of the dimensions of the matrix element spheres was said to be discussable.

Keywords

• hgms
• diffusion
• magnetic particles
• gradient magnetic field