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无机材料学报

无机材料学报

• 研究论文 • 上一篇    下一篇

导模法生长Al2O3单晶温场的理论计算

孙巧艳1,2; 井晓天1; 马胜利1   

  1. 1. 西安理工大学材料科学与工程学院, 西安 710048; 2. 西安交通大学材料科学与工程学院, 西安 710049
  • 收稿日期:1999-04-05 修回日期:1999-08-09 出版日期:2000-04-20 网络出版日期:2000-04-20

Study on the Temperature of A12O3 Crystal Grown by EFG

SUN Qiao-Yan1,2; JING Xian-Tian1, MA Sheng-Li 1   

  1. 1. Xi an University of Technology; Xi an 710048; China; 2. Xi an Jiaotong University; Xi an 710049; China
  • Received:1999-04-05 Revised:1999-08-09 Published:2000-04-20 Online:2000-04-20

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摘要： 用光线导向模型建立了描述Ａｌ２Ｏ３单晶内部热量交换的二维方程，用有限元法计算了Ａｌ２Ｏ３单晶的温度场，分析了片状Ａｌ２Ｏ３单晶温场及其变化规律．研究结果表明，对流换热系数影响晶体的温度分布，固液界面越远，影响效果越显著，对流换热系数的增大使晶体温度降低．晶体生长速率增大使结晶前沿的温度梯度增大．晶体较长时，距固液界面较近的晶体的温场可以认为是准稳态温场．

关键词: Al2O3单晶, 温度场, 复合传热, 有限元法

Abstract: Two dimensional equation describing heat conduction-radiation of Al2O3 single crystal was
established by light-guide model. The temperature field was calculated by finite-element method and its features were also discussed. Finally, the
theoretical result was compared with the experimental result. The convection coefficient has little effect on the temperature of crystal near the
solid-liquid interface, while it affects the temperature of crystal significantly which is far from the interface. The temperature gradient
near the solid-liquid interface increases with the growth rate increasing. The temperature curves of crystals with different length show that the
temperature changes little when the crystal is long, and the temperature field of crystal can be regarded as a quasistatic one.

Key words: Al2O3 crystal, temperature field, multiple heat exchange, finite-element method

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