Flow pattern transition driven by the combined Marangoni effect and rotation of crucible and crystal in a Czochralski configuration
Flow pattern transition driven by the combined Marangoni effect and rotation of crucible and crystal in a Czochralski configuration
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由马兰戈尼效应和直拉结构中坩埚和晶体的旋转相结合驱动的流型转变
DOI：
10.1016/j.ijthermalsci.2014.08.001
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发表时间：
2014-12
影响因子：
4.5
通讯作者：
Liao, Rui-Jin
中科院分区：
文献类型：
--
作者：
Wu, Chun-Mei;Ruan, Deng-Fang;Li, You-Rong;Liao, Rui-Jin
为了了解马兰戈尼效应与坩埚和晶体旋转共同驱动下的流型转变，对这种复杂的chzochralski型流动进行了一系列非定常三维数值模拟。结果表明：在小驱动力条件下，基本流是轴对称的、稳定的。流动结构表示为沿不同方向旋转的子午线循环，这取决于晶体和坩埚的不同旋转速率。当热毛细雷诺数超过某一阈值时，基本流动向三维振荡流动过渡。在没有旋转的情况下，三维热毛细流动的特征是驻波或波动周期性增长和衰减的辐状流。当晶体和/或坩埚旋转时，振荡流动表现为在方位角上传播的温度和速度波动波。讨论了与热毛细力、离心力和科里奥利力相互作用有关的波的传播方向和速度、波动幅度和波数。此外，还确定了不稳定发生的临界条件，并绘制了稳定性图。对于晶体与坩埚的反向旋转，随着热毛细雷诺数的增加，发生了两次流动转变，并划分了三个状态区。分析了各状态下的流动不稳定性特征。
In order to understand the flow pattern transition driven by the combined Marangoni effect and rotation of crucible and crystal, a series of unsteady three-dimensional numerical simulations were conducted for this complex flow in a Czochralski configuration. Results show that the basic flow is axisymmetric and steady at small driving forces. The flow structures are represented as meridian circulations rotating in different directions, which are dependent on the differential rotation rates of the crystal and the crucible. When the thermocapillary Reynolds number exceeds a threshold value, the basic flow undergoes a transition to the three-dimensional oscillatory flow. Without rotation, the three-dimensional thermocapillary flow is characterized by standing waves or by spoke patterns with fluctuations growing and decaying periodically. When the crystal and/or crucible rotate, the oscillatory flow behaves as temperature and velocity fluctuation waves traveling in the azimuthal directions. The direction and velocity of wave propagation, fluctuation amplitude and wave number, which are dependent on the interaction of the thermocapillary, centrifugal and Coriolis forces, are discussed. Furthermore, the critical conditions for the onset of instabilities are determined and the stability diagrams are mapped. For the counter-rotation of the crystal and the crucible, two flow transitions occur with the increase of the thermocapillary Reynolds number, and three state regimes are zoned. The characteristics of the flow instabilities in each state regime are analyzed.
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影响因子：
1.5
作者：
K. Shvarts
通讯作者：
K. Shvarts
影响因子：
4.5
作者：
H. Bazzi;C. T. Nguyen;N. Galanis
通讯作者：
H. Bazzi;C. T. Nguyen;N. Galanis
自由表面上带有差动旋转盘的旋转圆柱形水池中强制流动的不稳定性
DOI：
10.1007/s11431-010-4039-8
发表时间：
2010-08
期刊：
Science China Technological Sciences
影响因子：
--
作者：
通讯作者：
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自由表面上圆柱池和圆盘差动旋转驱动流型的长宽比和半径比依赖性
影响因子：
4.6
作者：
Wu, Chun-Mei;Li, You-Rong;Ruan, Deng-Fang
通讯作者：
Ruan, Deng-Fang
影响因子：
4.5
作者：
You-Rong Li;L. Peng;Shuang-Ying Wu;D. Zeng;N. Imaishi
通讯作者：
You-Rong Li;L. Peng;Shuang-Ying Wu;D. Zeng;N. Imaishi