Wheeler, A.A. (1989) Boundary layer models in Czochralski crystal growth. Journal of Crystal Growth, 97 (1), 64-75. (doi:10.1016/0022-0248(89)90248-0).
Abstract
In this paper we review recent developments in the application of boundary layer theory to the Czochralski crystal growth process. The advantage of this approach is that it provides simplified analytical descriptions of the dopant, flow and temperature in specific regions of the melt. We bring to the attention of the reader some difficulties which relate to the assumptions made particularly with regard to the large scale processes in the melt. We review developments that are applicable to the description of the crystal-melt interface, temporally periodic growth rates, magnetic Czochralski crystal growth and the production of dissolved oxygen at the crucible walls and its transport in the melt to the crystal.
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