| 垂直Bridgman法多组元晶体生长的多场耦合模型 |
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| 引用本文： | 陆军,李恒,苏燕兵,白博峰,王跃社,王国祥,郭烈锦. 垂直Bridgman法多组元晶体生长的多场耦合模型[J]. 西安交通大学学报, 2006, 40(5): 582-586 |
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| 作者姓名： | 陆军 李恒 苏燕兵 白博峰 王跃社 王国祥 郭烈锦 |
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| 作者单位： | 1. 西安交通大学动力工程多相流国家重点实验室,710049,西安
2. 西安交通大学动力工程多相流国家重点实验室,710049,西安;阿克伦大学机械工程系,44325,美国阿克伦城 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 对垂直Bridgman法多组元晶体生长的准稳态模型所采用的Boussinesq线性密度假设进行了改进,基于密度的Taylor展开式,得到了熔体密度随温度、浓度变化的非线性函数关系并引入到模型中,改进后的准稳态模型（PSSM）能揭示晶体生长过程的非线性本质．明确了模型的边界条件,得到了晶体生长的完整数学描述．改进后的PSSM以及已获得的多组元晶体准确物性为晶体生长的多场耦舍定量数值模拟研究奠定了基础．
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| 关 键 词： | 垂直Bridgman 多场耦合 准稳态模型 |
| 文章编号： | 0253-987X（2006）05-0582-05 |
| 收稿时间： | 2005-10-21 |
| 修稿时间： | 2005-10-21 |
Improved Mathematical Model for the Multi-Field Coupling Growth Process of Multi-Compound Crystal by Vertical Bridgman Method |
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| Lu Jun,Li Heng,Su Yanbing,Bai Bofeng,Wang Yueshe,Wang Guoxiang,Guo Liejin. Improved Mathematical Model for the Multi-Field Coupling Growth Process of Multi-Compound Crystal by Vertical Bridgman Method[J]. Journal of Xi'an Jiaotong University, 2006, 40(5): 582-586 |
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| Authors: | Lu Jun Li Heng Su Yanbing Bai Bofeng Wang Yueshe Wang Guoxiang Guo Liejin |
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| Abstract: | The Boussinesq linear hypothesis used in pseudo-steady-state model(PSSM) for multi-compound crystal growth by vertical Bridgman method was amended.Based on Taylor expansion of melt density,a nonlinear density function coupling with temperature and concentration was deduced.The improved PSSM can reveal the non-linear physical mechanism of crystal growth more effectively.Moreover,the boundary conditions for improved PSSM were determined clearly,and thus a completed multi-field coupling mathematical model for multi-compound crystal growth process was proposed.The improved PSSM and the exact thermal properties of multi-compound crystal obtained provide a sound foundation for quantitative multi-filed coupling numerical simulation of crystal growth process. |
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| Keywords: | vertical Bridgman methods multi-field coupling pseudo-steady-state model |
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