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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．
A two-dimensional equation describing the heat exchange inside the Al2O3 single crystal was established by using the ray-oriented model. The temperature field of the Al2O3 single crystal was calculated by the finite element method. The temperature field and the variation of the single-crystal Al2O3 crystal were analyzed. The results show that the convection heat transfer coefficient affects the crystal temperature distribution, and the farther the solid-liquid interface is, the more significant the effect is. The increase of convection heat transfer coefficient decreases the crystal temperature. Increasing the crystal growth rate increases the temperature gradient of the crystallization front. When the crystal is longer, the temperature field near the solid-liquid interface can be considered the quasi-steady-state temperature field.