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Journal of Engineering Physics and Thermophysics

, Volume 63, Issue 4, pp 1032–1036 | Cite as

Self-similar solutions of the Stefan problem

  • M. F. Prokhorova
Article
  • 45 Downloads

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.

Keywords

Crystallization Statistical Physic Crystal Growth Spherical Geometry Isothermal Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    R. Lodiz and R. Parker, Growth of Monocrystals [Russian translation], Moscow (1974).Google Scholar
  2. 2.
    B. Ya. Lyubov, The Theory of Crystallization in Large Volumes [in Russian], Moscow (1975).Google Scholar
  3. 3.
    M.-A. Lemieux and G. Kotliar, Phys. Rev. A.,36, No. 10, 4975–4983 (1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • M. F. Prokhorova

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