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, China; dDepartment 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.
Received: 30 July 2008
Revised: 28 August 2008
Accepted manuscript online:
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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