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 radius ratio on flow transition driven by differentially rotation in Czochralski eonfiguration, a series of unsteady three-dimensional numerical simulations were carried out with finite-volume method. The simulation results show that the flow strength increases with the increase of depth to radius ratio. When the rotation Reynolds number exceeds a critical value, the flow will transit to three-dimensionM oscillatory flow characterized as velocity fluctuation waves. The increasing depth to radius ratio has great influence on flow characters, including the amplitude, wave number and propagation direction of the velocity fluctuation wave. With small depth to radius ratio, the flow driven by crucible rotation is dominant, and the velocity wave propagates in the crucible rotation direction. However, when the depth to radius ratio is larger, the crystal rotation has greater effect on the flow, and the velocity wave rotates with the crystal in the same direction.
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