Two-dimensional dendritic growth at arbitrary Peclet number
Résumé
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 <
Domaines
Articles anciens
Origine : Accord explicite pour ce dépôt