Electromagnetic processing of materials (EPM) is one of the most widely practiced and fast growing applications of magnetic and electric forces to fluid flow. EPM is encountered in both industrial processes and laboratory investigations. Applications range in scale from nano-particle manipulation to tonnes of liquid metal treated in the presence of various configurations of magnetic fields. Some of these processes are specifically designed and made possible by the use of the electromagnetic force, like the magnetic levitation of liquid droplets, whilst others involve electric currents essential for electrothermal or electrochemical reasons, for instance, in electrolytic metal production and in induction melting. An insight for the range of established and novel EPM applications can be found in the review presented by Asai [1] in the EPM-2003 conference proceedings.
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References
Asai S(2003) Challenging of EPM in economic mass production, nano-technology and environment protection. In: Proc 4th Int Conf Electodyn Proc Materials, Lyon:1-8
Jaluria Y (2001) Fluid flow phenomena in materials processing. J Fluids Eng 123:173-210
Okress E, Wroughton D, Comenetz G, Brace P, Kelly J (1952) Electromagnetic levitation of solid and molten metals. J Appl Phys 23:545-552
Schwartz E, Szekely J, Ilegbusi OJ, Zong J-H, Egry I (1991) The computation of the electromagnetic force fields and transport phenomena in levitated metallic droplets in the microgravity environment. In: MHD in process metallurgy, TMS, pp 81-87
Mestel AJ (1982) Magnetic levitation of liquid metals. J Fluid Mech 117:27-43
Szekely J, Schwartz E (1994) Perspectives on EM levitation in space experimen-tation. In: International Symposium on Electromagnetic Processing of Materials, ISIJ, Nagoya, pp 9-14
Li BQ (1994) The transient magnetohydrodynamic phenomena in electromag-netic levitation process. Int J Engng Sci 32:1315-1336
Hyers RW, Trapaga G, Abedian B (2003) Laminar-turbulent transition in an electromagnetically levitated droplet. Metall Materials Trans B 34:29
Bojarevics V, Pericleous K (2003) Modelling electromagnetically levitated liquid droplet oscillations. ISIJ Int 43(6):890-898
Sneyd AD, Moffatt HK (1982) Fluid dynamical aspects of the levitation melting process. J Fluid Mech 117:45-70
Gagnoud A, Brancher JP (1985) Modelling of coupled phenomena in electro-magnetic levitation. IEEE Trans Magn 21:2424-2427
Smythe R (1989) Static and Dynamic Electricity. Hemisphere, New York
Bojarevics V, Pericleous K, Cross M (2000) Modelling the dynamics of the semi-levitation melting. Metall Materials Trans B 31:179-189
Cummings DL, Blackburn DA (1991) Oscillations of magnetically levitated aspherical droplets. J Fluid Mech 224:395-416
Bratz A, Egry I (1995) Surface oscillations of electromagnetically levitated vis-cous metal droplets. J Fluid Mech 298:341-359
Bojarevics V, Pericleous K (2001) Magnetic levitation fluid dynamics. Magne-tohydrodynamics 37:93-102
Enokizono M, Todaka T, Yokoji K, Wada Y, Matsumoto I (1995) Three dimen-sional moving simulation of levitation melting method. IEEE Trans Magn 31:1869-1872
Winstead CH, Gazzerro PC, Hoburg JF (1998) Surface-coupled modeling of magnetically confined liquid metal in three-dimensional geometry. Metall Mate-rials Trans B 29:275-281
Priede J, Gerbeth G, Mikelsons A, Gelfgat Y (2000) Instabilities of electromag-netically levitated bodies and their prevention. In: Proceedings of the 3rd Inter-national Symposium on Electromagnetic Processing Materials, ISIJ, Nagoya, pp 352-357
Yasuda H, Ohnaka I, Ninomiya Y, Ishii R, Fujita S, Kishio K (2003) Solidifica-tion behavior in the melt levitated by simultaneous imposition of alternative and high static magnetic fields. In: Proceedings of the 4th International Symposium on Electromagnetic Processing Materials, Lyon, pp 459-463
Gillon P (2000) Processing of materials with high DC magnetic field gradi-ents. In: Proceedings of the 3rd International Symposium on Electromagnetic Processing Materials, ISIJ, Nagoya, pp 635-640
Egry I, Diefenbach A, Dreier W, Piller J (2001) Containerless processing in space - thermophysical property measurements using electromagnetic levitation. Int J Thermophys 22:569-578
Ikezoe Y, Hirota N, Nakgawa J, Kitazawa K (1998) Making water levitate. Nature 393:749-750
Motokawa M (2000) Orientation and levitation effects in high magnetic fields. In: Proceedings of the 3rd International Symposium on Electromagnetic Processing Materials, ISIJ, Nagoya, pp 612-617
Brooks RF, Day AP (1999) Observations of the effects of oxide skins on the oscillations of EM levitated metal droplets. Int J Thermophys 20:1041-1050
Feng ZC, Leal LG (1995) Translational instability of a bubble undergoing shape oscillations. Phys Fluids 7:1325-1336
Tadano H, Kainuma K, Take T, Shinokura T, Hayashi S (2000) Vacuum melting with cold crucible levitation melting furnaces. In: Proceedings of the 3rd Inter-national Symposium on Electromagnetic Processing Materials, ISIJ, Nagoya, pp 277-282
Bernier F, Vogt M, Muehlbauer A (2000) Numerical calculations of the thermal behaviour and the melt flow in induction furnace with cold crucible. In: Pro-ceedings of the 3rd International Symposium on Electromagnetic Processing Materials, ISIJ, Nagoya, pp 283-288
Harding RA, Wickins M, Bojarevics V, Pericleous K (2004) The development and experimental validation of a numerical model of an induction skull melting furnace. Metall Materials Trans B 35:785-803
Gillon P (2000) Processing of materials with high DC magnetic field gradi-ents. In: Proceedings of the 3rd International Symposium on Electromagnetic Processing Materials, ISIJ, Nagoya, pp 635-640
Toh T, Yamamura H, Wakoh M, Takeuchi E (2003) Inclusion behavior in cold crucible levitation melting and its applications to cleanliness evaluation. In: Proceedings of the 4th International Conference on Electromagnetic Processing Materials, Lyon, pp 226-231
Tanaka T, Kurita K, Kuroda A (1991) Mathematical modeling for electromag-netic field and shaping of melts in cold crucibles. Liquid Metal Flows ASME FED 115:49-54
Enokizono M, Todaka T, Matsumoto I, Wada Y (1993) Levitation melting appa-ratus with flux concentration cap. IEEE Magn 29 (6):2968-2970
Baake E, Muehlbauer A, Jakowitsch A, Andree W (1995) Extension of the k − ε model for the numerical simulation of the melt flow in induction crucible furnaces. Metall Mater Trans B 26:529-536
Baake E, Umbrashko A, Nacke B, Jakovics A, Bojarevics A (2003) Experimental investigations and LES modelling of the turbulent melt flow and temperature distribution in the cold crucible induction furnace. In: Proceedings of the 4th International Conference on Electromagnetic Processing Materials, Lyon, pp 214-219
Fukumoto H, Hosokawa Y, Ayata K, Morishita M (1991) Numerical simulation of meniscus shape considering internal flow effects. MHD in Process Metallurgy. Miner, Met Mater Soc:21-26
Kageyama R, Evans JW (1998) A mathematical model for the dynamic behav-iour of melts subjected to electromagnetic forces. Part 1. Metall Mater Trans B 29:919-928
Wilcox DC (1998) Turbulence Modelling for CFD. DCW Industries, La Canada, CA
Bojarevics A, Bojarevics V, Gelfgat J, Pericleous K (1999) Liquid metal turbu-lent flow dynamics in a cylindrical container with free surface: experiment and numerical analysis. Magnetohydrodynamics 35:258-277
Widlund O (2000) Modelling of magnetohydrodynamic turbulence. Ph.D. thesis. Royal Institute of Technology, Stockholm, Sweden, ISSN 0348-467X
Widlund O (2002) Draft of K − ω − α closure for modeling of MHD turbulence (unpublished)
Mei CC (1989) Applied dynamics of ocean surface waves. World Scientific
Von Kaenel R, Antille JP (1996) Magnetohydrodynamic stability in alumina reduction cells. Travaux 23(27):285-297
Urata N, Mori K, Ikeuchi H (1976) Behavior of bath and molten metal in alu-minium electrolytic cell. Keikinzoku 26(11):573-600
Sneyd AD, Wang A (1994) Interfacial instability due to MHD mode coupling in aluminium reduction cells. J Fluid Mech 263:343-359
Moreau R, Ewans JW (1984) An analysis of the hydrodynamics of aluminium reduction cells. J Electrochemical Society 131(10):2251-2259
Bojarevics V, Romerio MV (1994) Long waves instability of liquid metal-electrolyte interface in aluminium electrolysis cells: a generalization of Sele’s criterion. Eur J Mech B/Fluids 13:33-56
Bojarevics V (1998) Nonlinear waves with electromagnetic interaction in alu-minium electrolysis cells. In: Progress Fluid Flow Research: Turbulence and Applied MHD. AIAA Chapter 58, pp 833-848
Sun H, Zikanov O, Finlayson BA, Ziegler DP (2005) The influence of the basic flow and interface deformation on stability of Hall-Herault cells. Light Metals 2005, TMS, pp 437-441
Dupuis M, Bojarevics V (2005) Weakly coupled thermo-electric and MHD math-ematical models of an aluminium electrolysis cell. Light Metals 2005, TMS, pp 449-454
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Bojarevics, V., Pericleous, K. (2007). Numerical Modelling for Electromagnetic Processing of Materials. In: Magnetohydrodynamics. Fluid Mechanics And Its Applications, vol 80. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-4833-3_22
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