Towards the theory of how a constitutional supercooling layer appears ahead of the planar crystallization front
Laboratory of Multi-Scale Mathematical Modeling, Laboratory of Stochastic Transport of Nanoparticles in Living Systems, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin ave., 51, 620000, Ekaterinburg, Russian Federation
2 Laboratory of Mathematical Modeling of Physical and Chemical Processes in Multiphase Media, Lenin ave., 51, 620000, Ekaterinburg, Russian Federation
3 Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität-Jena, 07743, Jena, Germany
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Accepted: 26 April 2023
Published online: 10 May 2023
This study, the effect of constitutional supercooling appearing ahead of the crystallization front and leading to the mushy layer origination is considered. An approximate analytical theory determining the time of mushy layer initiation is constructed. Theoretical predictions are in good agreement with numerical simulations carried out in previous studies.
© The Author(s) 2023
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