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.
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Fedorchenko, A.I., Chernov, A.A. Analytical Solution of the Problem of Displacement of a Gas Dissolved in a Melt by Plane and Spherical Crystallization Fronts. Journal of Applied Mechanics and Technical Physics 44, 109–113 (2003). https://doi.org/10.1023/A:1021742132686
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DOI: https://doi.org/10.1023/A:1021742132686