| 稳态胞晶生长控制方程的解析解及其传输行为 |
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| 引用本文： | 梁晨,郑连存,陈琛.稳态胞晶生长控制方程的解析解及其传输行为[J].北京科技大学学报,2006,28(1):42-44. |
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| 作者姓名： | 梁晨 郑连存 陈琛 |
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| 作者单位： | 北京科技大学应用科学学院,北京,100083 |
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| 基金项目： | 中国科学院资助项目
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北京科技大学校科研和教改项目 |
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| 摘 要： | 建立了稳态胞晶生长温度场数学模型.通过在复数域内应用分离变量法对控制方程进行求解,得到了问题的解析解.讨论了在某些特定情形下的能量传输特性.
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| 关 键 词： | 晶体生长 稳态 胞晶 傅立叶级数 稳态 胞晶生长 控制方程 解析解 传输行为 behavior transfer dendritic growth governing equation 传输特性 能量 问题 求解 分离变量法 应用 复数域 温度场数学模型 |
| 收稿时间： | 2004-10-12 |
| 修稿时间： | 2004-12-05 |
Solution to the governing equation for dendritic growth and its transfer behavior |
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| LIANG Chen,ZHENG Liancun,CHEN Chen.Solution to the governing equation for dendritic growth and its transfer behavior[J].Journal of University of Science and Technology Beijing,2006,28(1):42-44. |
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| Authors: | LIANG Chen ZHENG Liancun CHEN Chen |
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| Institution: | Applied Science School, University of Science and Technology Beijing, Beijing 100083. China |
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| Abstract: | A mathematical model for dendritic growth of steady-state in the temperature field is established, and the analytical solution is derived in the form of Fourier series from separation of variables in the complex number field. The heat transfer characteristics in some special cases are discussed. Through the figures a clear view can be acquired about the substance of crystal growth. |
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| Keywords: | crystal growth steady state dendritic fourier series |
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