Tip-splitting instability in directional solidification based on bias field method

被引：5

作者：

You Jia-Xue ^{[1
]}

Wang Zhi-Jun ^{[1
]}

Li Jun-Jie ^{[1
]}

Wang Jin-Cheng ^{[1
]}

机构：

[1] Northwestern Polytech Univ, State Key Lab Solidificat Proc, Xian 710072, Peoples R China

来源：

CHINESE PHYSICS B | 2015年 / 24卷 / 07期

基金：

中国国家自然科学基金;

关键词：

directional solidification; morphological stability; tip-splitting; analytical method; DENDRITIC GROWTH; PATTERN-FORMATION; BINARY ALLOY; INTERFACE; SIMULATION; NOISE;

D O I：

10.1088/1674-1056/24/7/078107

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Tip splitting instability of cellular interface morphology in directional solidification is analyzed based on the bias field method proposed recently by Glicksman. The physical mechanism of tip instability is explained by analyzing the interface potential, the tangential energy flux, and the normal energy flux. A rigorous criterion for tip-splitting instability is established analytically, i.e., the ratio of the cellular tip radius to the cellular width a > root 3/2/pi approximate to 0.3899, which is in good agreement with simulation results. This study also reveals that the cellular tip splitting instability is attributable to weak Gibbs-Thomson energy acting on the interface.

引用

页数：6

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