Mathematical modeling of binary compounds with the presence of a phase transition layer

被引：11

作者：

Nizovtseva, Irina G. ^{[1
]}

Starodumov, Ilya O. ^{[1
,2
]}

Pavlyuk, Eugeny V. ^{[2
]}

Ivanov, Alexander A. ^{[2
]}

机构：

[1] Friedrich Schiller Univ, Otto Schott Inst Mat Forsch, Phys Astron Fak, Lobdergraben 32, D-07743 Jena, Germany

[2] Ural Fed Univ, Lab Multiscale Math Modeling, Ekaterinburg, Russia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 16期

基金：

俄罗斯科学基金会;

关键词：

mathematical modeling; mushy layer; phase transitions; solidification; SELF-SIMILAR SOLIDIFICATION; DIRECTIONAL SOLIDIFICATION; INTERMEDIATE STAGE; MUSHY LAYER; GROWTH; ALLOY; CRYSTALLIZATION; STABILITY; NUCLEATION; DYNAMICS;

D O I：

10.1002/mma.7003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

When looking for solutions to nonstationary problems in the field of binary melts or solutions, the scientific community regularly faces the need to transform the classical Stefan-type approach in order to obtain both new analytical results and explicit solutions. Within the framework of the current paper, we present the analysis of the problem of directional crystallization of binary solutions or melts in the presence of a mushy layer, based on the consideration of field data under the prism of a modified formulation, which made it possible to obtain such characteristics of the behavior of the mushy zone as the thickness and growth rate of the solid phase, temperature distribution, and also to determine heat-conducting and latent heat flows. The simulation results are presented, including in the form of illustrative material; a good agreement was noted between the predicted values of the growth rates and temperature profiles of the mushy zone and the area of solid matter with the existing observations of young sea ice dynamics.

引用

页码：12260 / 12270

页数：11

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