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

doi:10.1088/1674-1056/24/7/078107

中国物理B ›› 2015, Vol. 24 ›› Issue (7): 78107-078107.doi: 10.1088/1674-1056/24/7/078107

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

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

游家学, 王志军, 李俊杰, 王锦程

State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China

收稿日期:2015-01-01 修回日期:2015-03-20 出版日期:2015-07-05 发布日期:2015-07-05
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2011CB610401), the National Natural Science Foundation of China (Grant No. 51371151), and the Free Research Fund of State Key Laboratory of Solidification Processing, China (Grant No. 100-QP-2014).

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

You Jia-Xue (游家学), Wang Zhi-Jun (王志军), Li Jun-Jie (李俊杰), Wang Jin-Cheng (王锦程)

State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China

Received:2015-01-01 Revised:2015-03-20 Online:2015-07-05 Published:2015-07-05
Contact: Wang Jin-Cheng E-mail:jchwang@nwpu.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2011CB610401), the National Natural Science Foundation of China (Grant No. 51371151), and the Free Research Fund of State Key Laboratory of Solidification Processing, China (Grant No. 100-QP-2014).

摘要/Abstract

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 α > √3/2/π≈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.

关键词: directional solidification, morphological stability, tip-splitting, analytical method

Abstract:

Key words: directional solidification, morphological stability, tip-splitting, analytical method

中图分类号: (Solidification)

81.30.Fb

47.20.Hw (Morphological instability; phase changes) 02.60.Cb (Numerical simulation; solution of equations)

游家学, 王志军, 李俊杰, 王锦程. Tip-splitting instability in directional solidification based on bias field method[J]. 中国物理B, 2015, 24(7): 78107-078107.

You Jia-Xue (游家学), Wang Zhi-Jun (王志军), Li Jun-Jie (李俊杰), Wang Jin-Cheng (王锦程). Tip-splitting instability in directional solidification based on bias field method[J]. Chin. Phys. B, 2015, 24(7): 78107-078107.

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

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

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