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为了了解深径比对邱克拉斯基(Czochralski)结构内旋转驱动流动的影响,利用有限容积法进行了三维非稳态数值模拟。结果表明:随着液池深径比的增加,流动逐渐加强,当旋转速度超过某一临界值后,流动转变为三维非稳态振荡流动。随着液池深径比的增加,速度波振荡幅度增大,速度波波数和周向传播方向都随之改变;浅液池内坩埚旋转作用占主导地位,速度波传播方向与坩埚旋转方向相同,深液池内晶体旋转大于坩埚旋转对流动的影响,速度波传播方向和晶体旋转方向相同。
In order to understand the effect of depth-to-diameter ratio on the rotational drive flow in the Czochralski structure, a three-dimensional unsteady numerical simulation was performed by using the finite volume method. The results show that the flow gradually increases with the increase of the depth - to - diameter ratio of the pool, and the flow changes to a three - dimensional unsteady oscillation when the rotation speed exceeds a certain critical value. With the increase of depth-depth ratio of liquid pool, the amplitude of velocity wave increases, the velocity wave number and direction of circumferential propagation change. The rotation of crucible in shallow liquid pool dominates. The velocity wave propagates in the same direction as the rotation direction of the crucible, The crystal rotation in the deep liquid pool is larger than the effect of the rotation of the crucible on the flow. The velocity wave propagates in the same direction as the crystal.