On the Theory of Self-Similar Crystallization with a Mushy Layer

被引：0
作者：
Alexandrov, D. V. [1 ]
Alexandrova, I. V. [1 ]
机构：
[1] Ural Fed Univ, Dept Math Phys, Lab Multiscale Math Modeling, Lenin Ave,51, Ekaterinburg 620000, Russia
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016) | 2017年 / 1863卷
基金：
俄罗斯基础研究基金会;
关键词：
Mushy layer; crystallization; NONLINEAR DYNAMICS; DIRECTIONAL SOLIDIFICATION; ALLOY; THERMODIFFUSION; INSTABILITY; STABILITY; BOUNDARY; FLOW; ZONE; MELT;
D O I：
10.1063/1.4992694
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A set of non-linear equations describing the self-similar directional crystallization process is solved in the case of small variations of the solid phase fraction with time. The solute concentration, temperature, liquid phase fraction and parabolic growth rate constants are found analytically.
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页数：4
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