On particle trajectory and capture efficiency around many wires

The particle trajectory and the capture efficiency are calculated for a two-layer high gradient magnetic filter (HGMF) with following structure : Infinitely long and many ferromagnetic wires are placed within two capturing planes which are perpendicular to the magnetic field and to the slurry velocity. All the wires in each capturing plane are parallel with each other with an equal separation to the neighbouring wires, but the wire axes in the back plane shift a finite distance with respect to those in the front plane in the direction perpendicular to the slurry velocity. Under the assumptions of potential flow and large magnetic field, it is found that the capture radius is essentially the same as that for a single wire except the effect of geometrical masking of the back wires by the front ones, though the trajectories of the particles captured by the back wires or escaped are substantially influenced by the front wires.