ANALYTICAL THEORY OF MAGNETIC PARTICLE CAPTURE PROCESS AND CAPTURE RADIUS IN HIGH GRADIENT MAGNETIC SEPARATION.

Available theories of high gradient magnetic separation (HGMS) have utilized mainly the computer simulation in calculating particle trajectory and capture radius. The authors present analytical expressions that enable them to calculate very easily the particle trajectory and capture radius with the aid of a table electronic calculator. The expressions include the cases of potential and creeping flow approximations to the liquid flow field. This analytical theory can be easily extended to the case where the particle build-up is appreciable. The particle trajectories and the capture radii for the case of multiple wires of linear regular array are also presented.