On the theory of directional crystallization with a two-phase region with vigorous convection

被引：0
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作者：
Dmitri V. Alexandrov
Nikita K. Goltyakov
Alexander A. Ivanov
Irina V. Alexandrova
机构：
[1] Laboratory of Multi-Scale Mathematical Modeling,Department of Theoretical and Mathematical Physics
[2] Ural Federal University,undefined
[3] Sirius University of Science and Technology,undefined
来源：
The European Physical Journal Special Topics | 2020年 / 229卷
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摘要：
A time-dependent process of directional crystallization with a two-phase (mushy) region with allowance for vigorous convection in the liquid phase is analytically described. An exact solution of non-linear mushy layer equations is found in a parametric form. The temperature and solute concentration distributions, as well as the solid phase fraction profile, are determined in the two-phase and liquid regions. The moving boundary of phase transition, which is placed between the two-phase zone and liquid is defined as a function of time. The present analytical solutions are in good agreement with laboratory experiments on ice grown from aqueous solutions of isopropanol.
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页码：2951 / 2959
页数：8
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