Model for calculation of capture radii of a high gradient magnetic separator at moderate Reynolds numbers

HGMS involves the impingement and attachment of particles of varying magnetic susceptibility on fine ferromagnetic fibers placed in a homogeneous background field. A model was developed to allow numerical calculation of capture radii of the fibers for Various particles under the influence of magnetic, gravitational, hydrodynamic and inertial forces. Both the magnetic and flow fields are calculated for an elliptical fiber to simulate approximately real shapes. For almost all practical cases of HGMS, the Reynolds numbers will be in the region intermediate between purely viscous and potential flow (Re 0.1-40). Therefore, a boundary layer is superimposed upon the solution for potential flow. The effect of loading on the capture radius may be evaluated by adjusting the flow pattern to allow for particle build-up.