ARTICLE:

• SELF-SIMILAR SOLIDIFICATION FROM A COOLED BOUNDARY FOR ICE GROWING FROM AQUEOUS SALT SOLUTIONS  download article

D. Alexandrov
Department of Mathematical Physics, Urals State University, Ekaterinburg, Russian Federation

A. Malygin
Department of Mathematical Physics, Urals State University, Ekaterinburg, Russian Federation

I. Alexandrova
Department of Mathematical Physics, Urals State University, Ekaterinburg, Russian Federation

ABSTRACT

The self-similar solidification process of an alloy from a cooled boundary is studied on the basis of two models with a planar front and mushy layer. Approximate and exact analytical solutions of the process, which demonstrate unusual dynamics near the point of constitutional supercooling, are found. The rate of solidification and front position of the solid/mush boundary (parabolic growth rate constant) are expressed in an explicit form in the case of slow dynamics of this boundary. The theory under consideration is in a good agreement with experimental and numerical studies carried out by Huppert and Worster for ice growing from aqueous salt solutions.

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