Effect of pool rotation on flow pattern transition of silicon melt thermocapillary flow in a slowly rotating shallow annular pool
Effect of pool rotation on flow pattern transition of silicon melt thermocapillary flow in a slowly rotating shallow annular pool
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DOI：
10.1016/j.ijheatmasstransfer.2007.06.029
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发表时间：
2008-04
影响因子：
5.2
通讯作者：
You-Rong Li;Lan Xiao;Shuang-Ying Wu;N. Imaishi
中科院分区：
文献类型：
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作者：
You-Rong Li;Lan Xiao;Shuang-Ying Wu;N. Imaishi
为了了解直拉炉中硅熔体流型转变的机理，我们对逆时针方向缓慢旋转的浅环形池中硅熔体流动进行了一系列非定常三维数值模拟。水池由外筒加热，由内筒冷却。垂直外筒和内筒之间的温差范围为5K至28K，环形池转速为0至2rpm。熔池的底面和顶面是绝热的。模拟结果表明，当沿自由表面的径向温差增大时，会发生两次流动转变。首先，稳定的二维流变成第一个热液波，然后是波数较少的第二个热液波。不稳定发生的临界条件以及第一和第二热液波之间的过渡区是在不同的旋转速率下确定的。讨论了稳态流和三维流的特性。
In order to understand the mechanism of the flow pattern transitions on silicon melt in Czochralski furnaces, we conducted a series of unsteady three-dimensional numerical simulations of silicon melt flow in a slowly rotating shallow annular pool in the counter-clockwise direction. The pool was heated from the outer cylinder and cooled at the inner cylinder. The temperature differences between the vertical outer and inner cylinders ranged from 5K to 28K and annular pool rotation rate from 0 and 2rpm. Bottom and top surfaces of the melt pool were adiabatic. The simulation results indicate that two flow transitions occur when increasing the radial temperature difference along the free surface. At first, the steady two-dimensional flow becomes the first hydrothermal wave and then the second hydrothermal wave with less wave number. The critical conditions for the onset of the instability and the transition zone between the first and the second hydrothermal wave are determined at various rotation rates. Characteristics of the steady and the three-dimensional flows are discussed.