This article is cited 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.

UDC: 532.7

Received: 24.10.2001
Accepted: 17.04.2002

 English version: Journal of Applied Mechanics and Technical Physics, 2003, 44:1, 109–113

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