Exact analytical solutions of a steady-state mushy layer model containing heat exchange with the environment

被引：2

作者：

Alexandrova, Irina, V ^{[1
]}

Ivanov, Alexander A. ^{[1
]}

Bulycheva, Svetlana, V ^{[1
,2
]}

Alexandrov, Dmitri, V ^{[1
]}

机构：

[1] Ural Fed Univ, Dept Theoret & Math Phys, Lab Multiscale Math Modeling, Lenin Ave 51, Ekaterinburg 620000, Russia

[2] Nosov Magnitogorsk State Tech Univ, Lenin St 38, Magnitogorsk 455000, Russia

来源：

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2022年 / 231卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

NONLINEAR DYNAMICS; DIRECTIONAL SOLIDIFICATION; BINARY MELT; COMPOSITIONAL CONVECTION; INTERMEDIATE STAGE; GROWTH; ALLOY; NUCLEATION; BOUNDARY;

D O I：

10.1140/epjs/s11734-022-00521-w

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A set of nonlinear equations describing the crystallization of a binary melt in the presence of a quasi-equilibrium mushy layer is analytically solved in the case of heat exchange with the environment. Solute concentration, temperature distributions, and a bulk fraction of the solid phase in a mushy region are found. In addition, the average interdendritic distance in the two-phase region, which characterizes the structural-phase transition and porosity of the material, was analytically determined. The mushy layer's thickness was also found as a function of given the physical and operating parameters of the solidification process. The analytical solutions obtained are compared with experimental data.

引用

页码：1123 / 1128

页数：6

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