Abstract
This paper deals with the stability of planar phase boundaries during transient solidification of binary aqueous solutions and raises the question of the time and wavenumber characterizing t he breakdown of the phase boundaries in these solidification processes. In the first part a linear stability analysis is performed. The central result of this analysis is a dynamical stability criterion that fixes the time of first marginal instability. This criterion is an equivalent formulation to the well-known Mullins-Sekerka criterion, that enables the specific wave number of the first instability to be calculated. In the second part of this paper these criteria are used to determine the breakdown of planar phase boundaries in a special transient freezing situation of an isotonic aqueous solution of sodium chloride.
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