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Investigation of hydrodynamic and heat and mass transfer processes for crystal growing by the Czochralski method

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Abstract

A mathematical model and numerical method are developed and used to investigate nonstationary flow and heat and mass transfer regimes in a melt appropriate to the conditions of Czochralski crystal growth. A study is made of the separate and combined influence of rotation and thermal, concentration, and thermocapillary convection on the distribution of the temperature and the dopant in the range of regime parameters corresponding to large charging masses of the melt with small value of the kinematic viscosity. Large-scale fluctuations are found to occur when rotation and thermal convection interact. Thermocapillary convection is shown to have an important influence on the resulting motion when it interacts with the thermal and concentration forms of convection. A comparison is made with the results of experimental and theoretical investigations of other authors.

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 55–65, January–February, 1981.

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Polezhaev, V.I., Prostomolotov, A.I. Investigation of hydrodynamic and heat and mass transfer processes for crystal growing by the Czochralski method. Fluid Dyn 16, 42–50 (1981). https://doi.org/10.1007/BF01094811

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  • DOI: https://doi.org/10.1007/BF01094811

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