Towards a Theory of Directional Solidification in the Presence of a Two-Phase Zone with Intense Convection in a Liquid Layer

被引：0
|
作者：
Alexandrov, Dmitri V. [1 ,2 ]
Goltyakov, Nikita K. [1 ,2 ]
Ivanov, Alexander A. [1 ,2 ]
机构：
[1] Ural Fed Univ, Dept Theoret & Math Phys, Lab Multiscale Math Modeling, Ekaterinburg 620000, Russia
[2] Sirius Univ Sci & Technol, Soci 354340, Russia
来源：
INTERNATIONAL CONFERENCE ON TRENDS IN MATERIAL SCIENCE AND INVENTIVE MATERIALS (ICTMIM 2020) | 2020年 / 2259卷
基金：
俄罗斯基础研究基金会;
关键词：
NONLINEAR DYNAMICS; MUSHY LAYER; BOUNDARY; ALLOY; THERMODIFFUSION; MELT;
D O I：
10.1063/5.0015720
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This study is devoted to mathematical modeling of the process of directional solidification of a binary melt with a two-phase zone. The paper considers the crystallization process from top to bottom, caused by cooling of the upper boundary. The melt located below the two-phase zone is in a state of intense convective motion. The nonlinear mathematical model of the solidification process is described by the equations of heat and mass transfer in the two-phase zone and the molten phase in the presence of a moving boundary of the phase transformation. These equations supplemented with the equation of state as well as the corresponding boundary and initial conditions are analytically solved in a parametric form. The nonstationary temperature and concentration distributions, and the solid phase fraction are found in the two-phase zone and liquid phase. The phase transition boundary "two-phase zone - liquid phase" is found as a function of time.
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页数：5
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