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Journal Articles Journal de Physique Year : 1990

Two-dimensional dendritic growth at arbitrary Peclet number

E.A. Brener
  • Function : Author
V.I. Mel'Nikov
  • Function : Author

Abstract

Velocity selection in two-dimensional dendritic growth caused by anisotropy of the surface energy is considered. In the limit of low anisotropy the integro-differential equation for the velocity spectrum is reduced to a differential equation. The solution of this equation, corresponding to the maximal velocity, is stable, whereas the other solutions have unstable modes. A differential equation for the spectrum of growth rates is also derived. The growth velocity v ~ α3/4. f(pα1/2), where p is the Peclet number, α <
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Dates and versions

jpa-00212357 , version 1 (04-02-2008)

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E.A. Brener, V.I. Mel'Nikov. Two-dimensional dendritic growth at arbitrary Peclet number. Journal de Physique, 1990, 51 (2), pp.157-166. ⟨10.1051/jphys:01990005102015700⟩. ⟨jpa-00212357⟩

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