A shape of dendritic tips at high Peclet numbers

被引：6

作者：

Alexandrov, D., V ^{[1
]}

Titova, E. A. ^{[1
]}

Galenko, P. K. ^{[2
]}

机构：

[1] Ural Fed Univ, Lab Multi Scale Math Modeling, Dept Theoret & Math Phys, Ekaterinburg, Russia

[2] Friedrich Schiller Univ Jena, Phys Astron Fak, D-07743 Jena, Germany

来源：

JOURNAL OF CRYSTAL GROWTH | 2019年 / 515卷

基金：

俄罗斯科学基金会;

关键词：

Dendrites; Crystal morphology; Growth from melt; INTERFACIAL STABILITY; GROWTH;

D O I：

10.1016/j.jcrysgro.2019.03.008

中图分类号：

O7 [晶体学];

学科分类号：

0702 ; 070205 ; 0703 ; 080501 ;

摘要：

Crystals growing in an undercooled or supersaturated system have a shape given by the solution of an integro-differential equation (boundary integral). A new analytical solution of this nonlinear equation is found in the limit of large thermal and chemical Peclet numbers. Based on the saddle-point technique for a Laplace-type integral, our solution describes the tip region of crystals, which is close to a globular and circular shape in the three-and two-dimensional cases. Corresponding to various growth modes and Peclet numbers, the boundary integrals and crystal tips are listed in a table. A special case of chemical dendrite growing in a binary isothermal system is specially analyzed.

引用

页码：44 / 47

页数：4

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