Mathematical Modeling

Non-Stationary Crystallization of Water with a Mushy Layer in the Turbulent and Non-Turbulent Boundary Conditions

I. G. Nizovtseva^a, D. V. Alexandrov<sup>b

a</sup> Lab. of Mathematical Modeling of Physical and Chemical Processes in Multiphase Media, A. M. Gor'ky Urals State University, Ekaterinburg
^b Dept. of Mathematical Physic, A. M. Gor'ky Urals State University, Ekaterinburg

Abstract: In the present work, we developed a mathematical model of the solidification processes from a cooling by an arbitrary law boundaries in the presence of mushy layer for non-isothermal solution (sea water) in the absence and presence of turbulence in the liquid at the boundary between the mushy layer and liquid phase of the system. The distribution of temperature, impurity concentration and the solid phase fraction in all regions of the process, and also the law of motion of the solid phase – mushy layer boundary were found. We consider two scenarios of the process: with no solid phase (which describes the solidification with some needle-shaped crystals) and with some (which describes the solidification of a blunt-end crystals) portion of the solid phase at the boundary of mushy layer and liquid. The results of the developed theory are in good agreement with observations.

Keywords: crystallization, sea ice, heat and mass transfer, mushy layer.

UDC: 536.421.4

MSC: 80A22, 80A20, 76F40, 86A40

Original article submitted 16/II/2010
revision submitted – 04/III/2010

DOI: 10.14498/vsgtu785

Bibliographic databases:

• 
•