The effect of two-dimensional shear flow on the stability of a crystal interface in the supercooled melt

doi:10.1088/1674-1056/21/8/086401

中国物理B ›› 2012, Vol. 21 ›› Issue (8): 86401-086401.doi: 10.1088/1674-1056/21/8/086401

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

The effect of two-dimensional shear flow on the stability of a crystal interface in the supercooled melt

曹斌, 林鑫, 王猛, 黄卫东

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

收稿日期:2011-12-21 修回日期:2012-02-10 出版日期:2012-07-01 发布日期:2012-07-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 50771083 and 50901061), the National Basic Research Program of China (Grant No. 2011CB610402), the Fund of the State Key Laboratory of Solidification Processing in Northwestern Polytechnical University, China (Grant Nos. 02-TZ-2008 and 36-TP-2009), and the Program of Introducing Talents of Discipline to Universities, China (Grant No. 08040).

The effect of two-dimensional shear flow on the stability of a crystal interface in the supercooled melt

Cao Bin (曹斌), Lin Xin (林鑫), Wang Meng (王猛), Huang Wei-Dong (黄卫东 )

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

Received:2011-12-21 Revised:2012-02-10 Online:2012-07-01 Published:2012-07-01
Contact: Lin Xin E-mail:xlin@nwpu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 50771083 and 50901061), the National Basic Research Program of China (Grant No. 2011CB610402), the Fund of the State Key Laboratory of Solidification Processing in Northwestern Polytechnical University, China (Grant Nos. 02-TZ-2008 and 36-TP-2009), and the Program of Introducing Talents of Discipline to Universities, China (Grant No. 08040).

摘要/Abstract

摘要： A model is developed based on the time-related thermal diffusion equations to investigate the effects of two-dimensional shear flow on the stability of a crystal interface in the supercooled melt of pure substance. Similar to the three-dimensional shear flow as described in our previous paper, the two-dimensional shear flow can also be found to reduce the growth rate of perturbation amplitude. However, compared with the case of Laplace equation for steady state thermal diffusion field, due to the existence of time partial derivatives of the temperature fields in diffusion equation the absolute value of the gradients of the temperature fields increases, therefore destabilizing the interface. The circular interface is more unstable than in the case of Laplace equation without time partial derivatives. The critical stability radius of the crystal interface increases with shearing rate increasing. The stability effect of shear flow decreases remarkably with the increase of melt undercooling.

关键词: spherical crystal, shear flow, interface stability, Trivedi criterion

Abstract: A model is developed based on the time-related thermal diffusion equations to investigate the effects of two-dimensional shear flow on the stability of a crystal interface in the supercooled melt of pure substance. Similar to the three-dimensional shear flow as described in our previous paper, the two-dimensional shear flow can also be found to reduce the growth rate of perturbation amplitude. However, compared with the case of Laplace equation for steady state thermal diffusion field, due to the existence of time partial derivatives of the temperature fields in diffusion equation the absolute value of the gradients of the temperature fields increases, therefore destabilizing the interface. The circular interface is more unstable than in the case of Laplace equation without time partial derivatives. The critical stability radius of the crystal interface increases with shearing rate increasing. The stability effect of shear flow decreases remarkably with the increase of melt undercooling.

Key words: spherical crystal, shear flow, interface stability, Trivedi criterion

中图分类号: (Solid-liquid transitions)

64.70.D-

64.70.dg (Crystallization of specific substances) 81.10.Fq (Growth from melts; zone melting and refining) 81.30.Fb (Solidification)

曹斌, 林鑫, 王猛, 黄卫东 . The effect of two-dimensional shear flow on the stability of a crystal interface in the supercooled melt[J]. 中国物理B, 2012, 21(8): 86401-086401.

Cao Bin (曹斌), Lin Xin (林鑫), Wang Meng (王猛), Huang Wei-Dong (黄卫东 ). The effect of two-dimensional shear flow on the stability of a crystal interface in the supercooled melt[J]. Chin. Phys. B, 2012, 21(8): 86401-086401.

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The effect of two-dimensional shear flow on the stability of a crystal interface in the supercooled melt

The effect of two-dimensional shear flow on the stability of a crystal interface in the supercooled melt

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