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Chin. Phys. B, 2009, Vol. 18(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

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)
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, Chinad Department of Mathematics and Statistics, McGill University, Montreal H3A 2K6, Canada
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.
Keywords:  directional solidification      planar interface      anisotropic surface tension      morphological stability  
Received:  30 July 2008      Revised:  28 August 2008      Accepted manuscript online: 
PACS:  64.70.D- (Solid-liquid transitions)  
  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)  
Fund: 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).

Cite this article: 

Chen Ming-Wen(陈明文), Lan Man(兰曼), Yuan Lin(袁琳), Wang Yu-Yan(王玉燕), Wang Zi-Dong(王自东), and Xu Jian-Jun(徐鉴君) The effect of anisotropic surface tension on the morphological stability of planar interface during directional solidification 2009 Chin. Phys. B 18 1691

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