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Modelling of a magnetohydrodynamics free surface problem arising in Czochralski crystal growth

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  • R. Griesse
  • A. J. Meir

Abstract

A free surface problem arising in the Czochralski (CZ) crystal growth process is considered. A mathematical model accounting for the interaction of the molten material with applied and induced magnetic fields, temperature-induced convection, rotating boundaries and a free surface is given. The model described avoids some common simplifying assumptions and allows for more general geometries, and non-axisymmetric (fully three-dimensional) and time-dependent flow fields. It accounts for the induced magnetic field and avoids non-realistic idealized boundary conditions on the magnetic field. The use and limitations of the model in optimization of crystal growth are also discussed.

Suggested Citation

  • R. Griesse & A. J. Meir, 2008. "Modelling of a magnetohydrodynamics free surface problem arising in Czochralski crystal growth," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 15(2), pages 163-175, September.
    • Handle: RePEc:taf:nmcmxx:v:15:y:2008:i:2:p:163-175
    DOI: 10.1080/13873950802551542
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