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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 1, Pages 131–136
(Mi pmtf2466)
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This article is cited in 1 scientific paper (total in 1 paper)
Analytical solution of the problem of displacement of a gas dissolved in a melt by plane and spherical crystallization fronts
A. I. Fedorchenko, A. A. Chernov Kutateladze Institute of Thermal Physics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Abstract:
Self-similar solutions of the problem of displacement of a gas dissolved in a melt by plane and spherical crystallization fronts are found for the case where the crystal growth rate is inversely related to the square root of time. A criterion of the absence of gas displacement due to segregation is found. The problem for a plane crystallization front moving with a constant velocity is analytically solved by means of the Laplace transform method.
Keywords:
crystallization front, gas segregation melt, self-similar solution, diffusion layer.
Received: 24.10.2001 Accepted: 17.04.2002
Citation:
A. I. Fedorchenko, A. A. Chernov, “Analytical solution of the problem of displacement of a gas dissolved in a melt by plane and spherical crystallization fronts”, Prikl. Mekh. Tekh. Fiz., 44:1 (2003), 131–136; J. Appl. Mech. Tech. Phys., 44:1 (2003), 109–113
Linking options:
https://www.mathnet.ru/eng/pmtf2466 https://www.mathnet.ru/eng/pmtf/v44/i1/p131
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