Abstract
A mathematical model for determining the hydrodynamics of a melt and impurity concentration in the process of growing of a packet of sapphire strips by the Stepanov group method with beveled surfaces of shapers is considered. The description of the model contains: the Stefan problem, Navier-Stokes equation, diffusion equation, and Laplace capillary equation. The problems posed were solved numerically by the method of finite elements.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 6, pp. 43–48, November–December, 2006.
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Zhdanov, A.V., Rossolenko, S.N. & Borodin, V.A. Mathematical simulation of the process of group growth of crystal strips from a melt by the Stepanov method depending on the bevel angle of the operating surface of shapers. J Eng Phys Thermophys 79, 1091–1096 (2006). https://doi.org/10.1007/s10891-006-0209-8
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DOI: https://doi.org/10.1007/s10891-006-0209-8