Abstract
High-frequency electromagnetic shaping of liquid metal boundaries involves a coupling between the molten metal interface and the magnetic fields. Modeling a stable molten metal and air interface requires a self-consistent solution. Previous work by the authors describes a two-part iterative free boundary solution procedure applied to liquid metal column cross sections. This article describes the extension of this methodology to axisymmetric systems and, in addition, shows that the method predicts Rayleigh-Taylor type instabilities. Thus, the equilibrium free boundaries calculated using this method are statically stable equilibria.
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Fugate, D.W., Hoburg, J.F. Shape and stability computations of electromagnetically confined liquid metal boundaries. Metall Trans B 24, 171–178 (1993). https://doi.org/10.1007/BF02657883
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DOI: https://doi.org/10.1007/BF02657883