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Optimal control of sublimation growth of SiC crystals. (English) Zbl 1052.80509

Jäger, Willi (ed.) et al., Mathematics – key technology for the future. Joint projects between universities and industry. Berlin: Springer (ISBN 3-540-44220-0/hbk). 343-354 (2003).
Summary: The project aims at providing numerical tools to control and optimize sublimation growth of SiC bulk single crystals via the Modified Lely Method. It is in cooperation with the experimental group of Dr. Dietmar Siche at the Institute of Crystal Growth in Berlin. In the course of the project the Modified Lely Method is mathematically modeled and numerically simulated. We present a transient model which for the gas phase consists of balance equations for mass, momentum and energy, and reaction-diffusion equations. The model for the solid components takes into account heat transfer via conduction inside the solid materials and via radiation between solid surfaces of cavities. Results of transient numerical simulations of the temperature evolution inside the growth apparatus are depicted, illustrating the paramount influence of radiation at growth temperature.
For the entire collection see [Zbl 1016.00014].

MSC:

80A99 Thermodynamics and heat transfer
80M50 Optimization problems in thermodynamics and heat transfer
82D25 Statistical mechanics of crystals
74N05 Crystals in solids
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