Numerical modelling of free surface dynamics of melt in an alternate electromagnetic field

S. Spitans¹ , A. Jakoviċs¹ , E. Baake² , B. Nacke²

¹ Laboratory for Mathematical Modelling of Environmental and Technological Processes, University of Latvia 8 Zellu str., LV-1002 Riga, Latvia
² Institute of Electrotechnology Leibniz, University of Hannover Wilhelm-Busch-Str. 4, D-30167 Hannover, Germany

Abstract
In this work, the recently presented model for the calculation of free surface dynamics of the melt in the induction crucible furnace in a simplified two-dimensional axisymmetric consideration is further verified. The developed model is applied to the case of electromagnetic levitation, and the very first results are presented. The two-dimensional model is generalized for three-dimensional consideration as well, and on the basis of the obtained calculation results the phenomenon of free surface wave propagation along the crucible wall is discussed. Tables 2, Figs 13, Refs 5.