中国物理B ›› 2009, Vol. 18 ›› Issue (4): 1691-1699.doi: 10.1088/1674-1056/18/4/069

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The effect of anisotropic surface tension on the morphological stability of planar interface during directional solidification

陈明文1, 兰曼1, 袁琳1, 王玉燕1, 王自东2, 徐鉴君3   

  1. (1)School of Applied Sciences, University of Science and Technology Beijing, Beijing 100083, China; (2)School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China; (3)School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China;School of Mathematical Sciences, Nankai University, Tianjin 300071, China;Department of Mathematics and Statistics, McGill University, Montrea
  • 收稿日期:2008-07-30 修回日期:2008-08-28 出版日期:2009-04-20 发布日期:2009-04-20
  • 基金资助:
    Project supported by the National Basic Research Program of China (the Project 973) (Grant No 2006CB605205) and the National Natural Science Foundation of China (Grant No 10672019).

The effect of anisotropic surface tension on the morphological stability of planar interface during directional solidification

Chen Ming-Wen(陈明文)a), Lan Man(兰曼)a), Yuan Lin(袁琳)a), Wang Yu-Yan(王玉燕)a), Wang Zi-Dong(王自东)b)†, and Xu Jian-Jun(徐鉴君)b)c)d)   

  1. a School of Applied Sciences, University of Science and Technology Beijing, Beijing 100083, China; b School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China; c School of Mathematical Sciences, Nankai University, Tianjin 300071, China; d Department of Mathematics and Statistics, McGill University, Montreal H3A 2K6, Canada
  • Received:2008-07-30 Revised:2008-08-28 Online:2009-04-20 Published:2009-04-20
  • Supported by:
    Project supported by the National Basic Research Program of China (the Project 973) (Grant No 2006CB605205) and the National Natural Science Foundation of China (Grant No 10672019).

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摘要： This paper considers the effect of the anisotropic surface tension on the morphological stability of the planar interface during directional solidification. When the expression exhibiting the four-fold symmetry is included, the modified absolute stability criterion is obtained by employing the multi-variable expansion method. The linear stability analysis reveals that for the given temperature gradient, as the anisotropic surface tension parameter increases, the stability zone tends to decrease.

关键词: directional solidification, planar interface, anisotropic surface tension, morphological stability

Abstract: This paper considers the effect of the anisotropic surface tension on the morphological stability of the planar interface during directional solidification. When the expression exhibiting the four-fold symmetry is included, the modified absolute stability criterion is obtained by employing the multi-variable expansion method. The linear stability analysis reveals that for the given temperature gradient, as the anisotropic surface tension parameter increases, the stability zone tends to decrease.

Key words: directional solidification, planar interface, anisotropic surface tension, morphological stability

中图分类号:  (Solid-liquid transitions)

  • 64.70.D-
81.30.Fb (Solidification) 68.03.Cd (Surface tension and related phenomena) 68.35.Md (Surface thermodynamics, surface energies) 68.08.-p (Liquid-solid interfaces)