Heat transfer, thermocapillary convection and interface shapes in floating zone crystal growth with a magnetic field
Résumé
A numerical method is developped to study heat transfer and thermocapillary convection in the melt in floating zone crystal growth. The model for calculation is constructed of cylindrical coordinates with a symmetrical axis. The appropriate heat, mass and momentum transfer equations in primitive form are approximated using finite difference method on semi-staggered grids. The unknown melting and solidification fronts and melt/gas interface are calculated using boundary-fitted curvilinear coordinate system. Both solutions in the case of conduction heat transfer only and thermocapillary convection are presented. The effects of growth-rate and externally applied magnetic field on the temperature and flow fields, the zone length and the shapes of the melting and solidification fronts are demonstrated
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