中国物理B ›› 2012, Vol. 21 ›› Issue (5): 56401-056401.doi: 10.1088/1674-1056/21/5/056401

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

Linear stability analysis on a spherical particle growing from a binary melt under the far-field flow

曹斌,林鑫,王猛,黄卫东   

  1. State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China
  • 收稿日期:2011-11-27 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grants 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 NWPU, China (Grants Nos. 02-TZ-2008 and 36-TP-2009), and the Programme of Introducing Talents of Discipline to Universities, China (Grant No. 08040).

Linear stability analysis on a spherical particle growing from a binary melt under the far-field flow

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

  1. State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2011-11-27 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grants 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 NWPU, China (Grants Nos. 02-TZ-2008 and 36-TP-2009), and the Programme of Introducing Talents of Discipline to Universities, China (Grant No. 08040).

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摘要： The solutions of temperature and solute fields around a spherical crystal growing from a binary melt under the far-field flow are obtained. Based on the results, a linear stability analysis on the spherical interface growing from the binary melt under the far-field flow is performed. It is found that the constitutional supercooling effect ahead of the spherical crystal interface under the far-field flow is enhanced compared with that without the flow. The growth rate of the perturbation amplitude at the up-wind side of the spherical crystal interface is larger than that at the down-wind side. The critical stability radius of the crystal interface decreases with the increasing far-field flow velocity. Under the far-field flow, the whole spherical interface becomes more unstable compared with that without the flow.

关键词: spherical crystal, far-field flow, interface stability, Trivedi's criterion

Abstract: The solutions of temperature and solute fields around a spherical crystal growing from a binary melt under the far-field flow are obtained. Based on the results, a linear stability analysis on the spherical interface growing from the binary melt under the far-field flow is performed. It is found that the constitutional supercooling effect ahead of the spherical crystal interface under the far-field flow is enhanced compared with that without the flow. The growth rate of the perturbation amplitude at the up-wind side of the spherical crystal interface is larger than that at the down-wind side. The critical stability radius of the crystal interface decreases with the increasing far-field flow velocity. Under the far-field flow, the whole spherical interface becomes more unstable compared with that without the flow.

Key words: spherical crystal, far-field flow, interface stability, Trivedi's 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)