On the theory of non-stationary directional solidification with a phase transition layer
Ural Federal University, Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, 620000 Ekaterinburg, Russia
2 Friedrich-Schiller-Universität Jena, Otto Schott Institute of Materials Research, 07743 Jena, Germany
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Received in final form: 18 September 2019
Published online: 11 February 2020
In order to get a deeper physical insight into the problem of directional solidification, which is a common feature both for the materials processing and crystal growth, the analytical description of the non-linear model was provided for the case of the binary solutions with a mushy layer. Both convective and conductive conditions of the liquid phase were considered, the Stefan-type model was adjusted for the nonstationary case, the validation of the models prediction was given through the comparison of analytical data and field experiment for the behavior of phase transition interfaces between the pure ice and mushy layer and the liquid phase and mushy layer.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020