Source:Journal of Crystal Growth, Volume 451
Author(s): Natasha Dropka, Torunn Ervik, Matthias Czupalla, Frank M. Kiessling
We performed 3D simulations of directional solidification (DS) and Czochralski (Cz) silicon growth processes in traveling magnetic fields (TMFs) and verified them with the experimental data that were available. Particularly, we studied silicon DS growth in real G1, G2 and G5 size setups and Cz growth in 6″ and 24″ crucibles in furnaces provided with KRISTMAG® heater magnet modules (HMMs). TMFs were used for a solid/liquid interface shaping and for a melt stirring. Based on our simulation findings, we discussed scale up challenges and proposed a method for safe upscaling. The method related all present driving forces using dimensionless numbers: Grashof (Gr), Stephan (Ste), Reynolds (Re), Shielding (S) and magnetic forcing number (F).
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