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导模法生长Al2O3单晶温场的理论计算
引用本文:孙巧艳,井晓天,马胜利.导模法生长Al2O3单晶温场的理论计算[J].无机材料学报,2000,15(2):229-236.
作者姓名:孙巧艳  井晓天  马胜利
作者单位:孙巧艳(西安理工大学材料科学与工程学院, 西安 710048);孙巧艳(崐西安交通大学材料科学与工程学院, 西安 710049);井晓天(西安理工大学材料科学与工程学院, 西安 710048);马胜利(西安理工大学材料科学与工程学院, 西安 710048)
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,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,地流换 增大使 本温度降低,晶体生长速率增大使结晶前洞的温度梯度增大,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:单晶  温度场  导模法  三氧化二铝  晶体生长
文章编号:CN31-1363(2000)02-0229-08
收稿时间:1999-4-5
修稿时间:1999年4月5日

Study on the Temperature of A12O3 Crystal Grown by EFG
SUN Qiao-Yan,JING Xian-Tian,MA Sheng-Li.Study on the Temperature of A12O3 Crystal Grown by EFG[J].Journal of Inorganic Materials,2000,15(2):229-236.
Authors:SUN Qiao-Yan  JING Xian-Tian  MA Sheng-Li
Affiliation:1.XianUniversityofTechnology;Xian710048;China;2.XianJiaotongUniversity;Xian710049;China
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.
Keywords:Al2O3 crystal  temperature field  multiple heat exchange  finite-element method
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