Abstract
Investigation is made of one of the self-similar regimes in the problem of a crystal growing from a pure melt with an isothermal surface. This regime is shown to exist only in the case of two-dimensional, cylindrical, or spherical geometry of the crystal and also when a two-dimensional crystal grows on a surface isometric to the surface of revolution. Modeling of the spherical crystal growth by two-dimensional crystallization on the surface of revolution is discussed.
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References
R. Lodiz and R. Parker, Growth of Monocrystals [Russian translation], Moscow (1974).
B. Ya. Lyubov, The Theory of Crystallization in Large Volumes [in Russian], Moscow (1975).
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Additional information
Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia. Translated from Inchenerno-Fizicheskii Zhurnal, Vol. 63, No. 4, pp. 468–472, October, 1992.
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Prokhorova, M.F. Self-similar solutions of the Stefan problem. J Eng Phys Thermophys 63, 1032–1036 (1992). https://doi.org/10.1007/BF00853355
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DOI: https://doi.org/10.1007/BF00853355