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平界面失稳初始扰动波长的选择

丁国陆 林鑫 黄卫东 周尧和

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平界面失稳初始扰动波长的选择

丁国陆, 林鑫, 黄卫东, 周尧和

SELECTION OF INITIAL PERTURBATION WAVELENGTHOF A PLANAR SOLID-LIQUID INTERFACE

DING GUO-LU, LIN XIN, HUANG WEI-DONG, ZHOU YAO-HE
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  • 采用典型的模型合金丁二腈-0.93%水杨酸苯脂,在精确的实验条件下研究了定向凝固平界面失稳初始扰动波长λI的选择.将实验结果与M-S理论及W-L模型分别进行了系统分析和比较.发现:(1)在平界面失稳的临界点附近,λI的实验结果并不落在M-S理论所预言的波长范围内,而在明显偏离平界面失稳的条件下,λI的实验结果尽管都选择在M-S理论的波长范围内,但比该理论所预言的振幅发展速率最快的波长大数倍,这说明M-S理论未能从根本上解决λI
    A transparent model alloy, succinonitrile-0.93wt.% salol is unidirectionally solidified under the accurately controled experimental conditions to investigate the selection of initial perturbation wavelength of a planar interface. The experimental data are compared with the Mullins-Sekerka (M-S) theory and the Warren-Langer (W-L) model. The following results are obtained: (1) Some experimental points do not lie within the wavelength range predicted by the M-S theory when Vcmsecms, where Ve is the pulling velocity, Vcms is the critical instability velocity of a planar interface given by M-S theory. When Ve》1.57Vcms, the experimental points are all within the wavelength range, but several times larger than the wavelength with the fastest amplitude developing speed predicted by the M-S theory. In short, the M-S theory cannot be used effectively to predict the selection of the initial perturbation wavelength of a planar interface. (2) The experimental results obtained in different alloys are all in good agreement with the W-L model, which proves that the initial perturbation of a planar interface is generated by the dramatic amplification of the ambient thermal micro-fluctuation with a characteristic wavelength.
    • 基金项目: 国家自然科学基金资助的课题.
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  • 文章访问数:  5894
  • PDF下载量:  478
  • 被引次数: 0
出版历程
  • 收稿日期:  1996-09-18
  • 修回日期:  1996-11-04
  • 刊出日期:  1997-03-05

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