Abstract
Assuming a periodic arrangement of the wires in an axially ordered HGMS-filter, a model of such filters is developed for the first time, which takes into account the exact contribution of all wires to the magnetic and hydrodynamic force fields, determining the capture of a small weakly magnetic particle in the unloaded filter. Filter efficiencies are calculated in the laminar and potential flow model for various wire arrangements and compared with the predictions of previous one-wire models. Furthermore the hydrodynamic filter impedance is calculated and shown to depend on the wire arrangement. The predictions of the proposed theory are in good agreement with measured filter efficiencies.
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