Abstract
The effects of crucible geometry on the flow pattern and the oxygen concentration at the crystal-melt interface are studied numerically for the cusp type magnetic field applied Czochralski process. The numerically generated boundary-fitted orthogonal curvilinear coordinate systems are used with the finite difference method. The crucible geometry is found to have non-trivial effects on both the flow pattern and the oxygen concentration at the melt-crystal interface. Especially when the natural convection is dominant, the numerical results suggest that there exists a crucible shape which is advantageous over the conventional cylindrical shape in both the uniformity and the average level of oxygen concentration at the crystal-melt interface.
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