| 过冷纯熔体中晶体生长扰动解的可解性条件 |
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| 引用本文： | 李向明,陈明文,王自东,孙仁济.过冷纯熔体中晶体生长扰动解的可解性条件[J].贵州师范大学学报(自然科学版),2006,24(4):59-63. |
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| 作者姓名： | 李向明 陈明文 王自东 孙仁济 |
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| 作者单位： | 1. 北京科技大学,应用科学学院,北京,100083
2. 北京科技大学,材料科学与工程学院,北京,100083 |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | 在晶体液固界面上考虑动力过冷,对凝固系统控制方程的扰动解进行渐近展开,分别求其零级、一级近似解.推出判别液固平界面稳定性的色散关系,该关系式适合于任意的扰动波长.结果表明,过冷纯熔体中非快速凝固晶体生长的液固界面是不稳定的.
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| 关 键 词： | 动力过冷 平界面 渐近分析 可解性条件 |
| 文章编号： | 1004-5570（2006）04-0059-05 |
| 收稿时间： | 2006-06-10 |
| 修稿时间： | 2006年6月10日 |
Solvability condition of the perturbed solution for crystal growth in undercooled pure melts |
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| LI Xiang-ming,CHEN Ming-wen,WANG Zi-dong,SUN Ren-ji.Solvability condition of the perturbed solution for crystal growth in undercooled pure melts[J].Journal of Guizhou Normal University(Natural Sciences),2006,24(4):59-63. |
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| Authors: | LI Xiang-ming CHEN Ming-wen WANG Zi-dong SUN Ren-ji |
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| Institution: | 1. Applied Science School, University of Science and Technology Beijing, Beijing 100083 ,China; 2. Material Science and Engineering School, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | This paper considers kinetic undercooling of the crystal growth on the liquid-solid interface,and makes the asymptotic expansion for the perturbed solution of the governing equations.The zeroth-order and the first-order approximation solutions are given.The dispersion relation,which is the stability criterion of the planar interface for all the wavelength of perturbations,is obtained to modify the M-S dispersion relation.It is concluded that the liquid-solid planar interface is not stable for non-rapid solidification in undercooled melts. |
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| Keywords: | kinetic undercooling planar interface asymptotic analysis solvability condition |
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