Mathematical modeling of the growth of ellipsoidal crystals in metastable melts and solutions

被引：9
|
作者：
Nikishina, Margarita A. [1 ]
Alexandrov, Dmitri V. [1 ]
机构：
[1] Ural Fed Univ, Dept Theoret & Math Phys, Lab Multiscale Math Modeling, Lab Math Modeling Phys & Chem Proc Multiphase Med, 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：
crystal growth; ellipsoidal particles; mathematical modeling; nucleation; phase transformations; NUCLEATION; EVOLUTION; KINETICS; SUBSTANCES; PARTICLES; MECHANISM; DYNAMICS;
D O I：
10.1002/mma.6987
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The evolution of individual crystals of ellipsoidal shape in supercooled one-component and binary melts as well as in supersaturated solutions is studied theoretically. The crystal volume growth rate is derived using the prolate ellipsoidal coordinates. We show that this rate is a function of the current crystal volume and supercooling/supersaturation of the ambient liquid. Also, we demonstrate that the particle growth rate increases with increasing the volume of ellipsoidal crystals and supercooling.
引用
收藏
页码：12252 / 12259
页数：8
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