High-resolution calculations are performed using a parallel finite element method to simulate combined rotational and buoyant flows of molten bismuth silicon oxide during Czochralski crystal growth. For the first time, spoke patterns are predicted along the surface of the melt at high crystal rotation rates. These patterns correspond to radially aligned roll cells confined to a thin layer near the melt surface. They arise from a modified Rayleigh instability within a destabilizing thermal boundary layer caused by crystal rotation and centrifugal pumping.
Bibliographical noteFunding Information:
This work was supported by the Army High Performance Computing Research Center under the auspices of the Department of the Army, Army Research Laboratory cooperative agreement DAAH04-95-2-0003/contract DAAH04-95-C-0008, the content of which does not necessarily reflect the position or policy of the government, and no official endorsement should be inferred. Additional computational resources were provided by the University of Minnesota Supercomputer Institute.
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- Bismuth silicon oxide
- Finite element method
- Spoke patterns