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Numerical Modeling of Free Surface Dynamics of Melt in an Alternate Electromagnetic Field: Part I. Implementation and Verification of Model

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Abstract

By means of ANSYS Classic and ANSYS CFX external coupling, a numerical model for free surface dynamics of electrically conductive fluid in an alternate electromagnetic field is developed. Volume of Fluid (VOF) numerical technique and k–ω SST turbulence model are applied for the high Reynolds number two-phase flow calculation. The model is extended on 3D and adjusted for the case of electromagnetic levitation. Results for the steady-state free surface shapes obtained with transient calculations are compared with other models and experimental measurements in induction furnaces, induction furnace with cold crucible, and electromagnetic levitation melting device. Numerical calculation results of free surface dynamics are compared with analytic estimation of free surface oscillation period. Parameter studies by means of developed approach and comparison between 3D simulations of free surface dynamics of electromagnetically induced flow with k–ω SST and large eddy simulation (LES) turbulence models are discussed in the second part of the article to follow.

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Acknowledgments

The current research was performed with financial support of the ESF project of the University of Latvia, contract No. 2009/0223/1DP/1.1.1.2.0/09/APIA/VIAA/008 and 2009/0162/1DP/1.1.2.1.1/09/IPIA/VIAA/004. The authors wish to thank the German Research Association (DFG) for supporting this study under the Grant No. BA 3565/3-1. The authors would like to acknowledge the contribution and support provided for this research by the great scientist prof. Ovidiu Pesteanu (*1945-†2012).

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Authors and Affiliations

  1. Institute of Electrotechnology, Leibniz University of Hannover, Wilhelm-Busch Str. 4, Hannover, 30167, Germany

    Sergejs Spitans (Research Engineer and Scientific Assistant), Egbert Baake (Professor) & Bernard Nacke (Professor)

  2. Laboratory for Mathematical Modeling of Environmental and Technological Processes, University of Latvia, Zellu Str. 8, Riga, 1002, Latvia

    Sergejs Spitans (Research Engineer and Scientific Assistant) & Andris Jakovics (Associate Professor)

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  1. Sergejs Spitans
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  2. Andris Jakovics
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  3. Egbert Baake
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  4. Bernard Nacke
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Correspondence to Sergejs Spitans.

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Manuscript submitted December 9, 2012.

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Spitans, S., Jakovics, A., Baake, E. et al. Numerical Modeling of Free Surface Dynamics of Melt in an Alternate Electromagnetic Field: Part I. Implementation and Verification of Model. Metall Mater Trans B 44, 593–605 (2013). https://doi.org/10.1007/s11663-013-9809-9

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