A model is explored for the extraction of ferromagnetic metallic particles using a magnetic filtration system. These metallic particles, which are transported by a powder flow may be fragments resulting from the standard wear and tear on industrial machinery. A project of this nature was brought to the 2015 Mathematics and Statistics in Industry NZ Study Group. Possible configurations of the magnetic filtration systems are considered with the target of better particle capture. The dependence of the model on the metallic particle's release zone and velocity is investigated. Monte-Carlo simulations are conducted for cases using perpendicular as well as parallel magnetic rods. The results confirm the efficacy of parallel offset rods and emphasise the importance of dense rod placement. The approach could be used to explore further alternative rod arrangements in advance of experimental implementation. References S.M. Blinder (2011) Magnetic Field of a Cylindrical Bar Magnet Wolfram Demonstrations Project. http://demonstrations.wolfram.com/MagneticFieldOfACylindricalBarMagnet/ J.C. Butcher (2008) Numerical Methods for Ordinary Differential Equations , John Wiley and Sons Ltd., England. H. Cooper, J. Denier, A. Ali, V. Chopovda, A. Gulley (2017) Modelling the effectiveness of magnets in particle extraction , ANZIAM Journal (2017), 57: M332–M352. doi:10.21914/anziamj.v57i0.12037 A. Einstein (1906) Eine neue Bestimmung der Molekuldimensionen , Ann. Phys., 324: 289–306. A. Einstein, R. Furth (1893-1956) Investigations on the theory of the Brownian movement , Dover. isbn=978-0-486-60304-9 Y. Nakai, F. Mishima, Y. Akiyama, S. Nishijima (2010) Development of Magnetic Separation System for Powder Separation , IEEE Transactions on applied superconductivity, 20:3, 941-944. doi:10.1109/TASC.2010.2043086 S. Noguchi, S. Kim (2011) Development of a numerical simulation method for the magnetic separation of magnetic particles , IEEE Transactions on magnetics, 47:5, 898-901. doi:10.1109/CEFC.2010.5481745 A.W. Strandling (1993) The physics of open-gradient dry magnetic separation , International Journal of Mineral Processing, 39, 1-18. doi:10.1016/0301-7516(93)90048-F J. Svoboda, T. Fujita (2003) Recent developments in magnetic methods of material separation , Minerals Engineering, 16, 785-792. doi:10.1016/S0892-6875(03)00212-7
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