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.

引用

页数：5

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