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Unidirectional solidification of binary melts from a cooled boundary: analytical solutions of a nonlinear
D V Alexandrov1, I G Nizovtseva, A P Malygin
1Department of Mathematical Physics, Urals State University, Lenin Avenue 51, Ekaterinburg, 620083, Russian Federation.
Abstract:
A model is presented that describes nonstationary solidification of binary melts or solutions from a cooled boundary maintained at a time-dependent temperature. Heat and mass transfer processes are described on the basis of the principles of a mushy layer, which divides pure solid material and a liquid phase. Nonlinear equations characterizing the dynamics of the phase transition boundaries are deduced. Approximate analytical solutions of the model under consideration are constructed. A method for controlling the external temperature at a cooled wall in order to obtain a required solidification velocity is discussed.
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