Analysis of moving boundary problem of growth of bismuth germanate crystal by heat exchanger method

Transient two-dimensional model of the growth of BGO crystal by heat exchanger method has been developed. A finite element method with nonorthogonal mapping technique for the solution of the moving boundary problem is developed where the melt/solid interface shape changes from hemispherical to planar. The moving boundary problems for the melt/solid interface location and the temperature field were solved by two mapping rule method which enables the computation of interface shape changing from hemispherical to planar. The maximum deflection of interface is shown when the melt/solid interface meets the corner of crucible. As the excess heating temperature and the heat exchanger temperature were increased, more growth time for whole process is required but the quality of BGO crystal may be improved. The ratio of the height to the radius of crucible hardly affects the deflection of BGO melt/solid interface when it is greater than 1.5. As the cooling zone radius is decreased, maximum deflection is decreased. The heat transfer between the crucible and the heating element should be suppressed to maximize planarity of the interface shape.
Publisher
KOREAN INST CHEM ENGINEERS
Issue Date
1996-09
Language
ENG
Keywords

FINITE-ELEMENT METHOD; SINGLE-CRYSTALS; BI4GE3O12; FLOW; SIMULATION

Citation

KOREAN JOURNAL OF CHEMICAL ENGINEERING, v.13, no.5, pp.503 - 509

ISSN
0256-1115
URI
http://hdl.handle.net/10203/9640
Appears in Collection
CBE-Journal Papers(저널논문)
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