引用本文: 李唯一, 王涛, 张先念, 等. 旋转流体多边形自由表面形成机制研究[J]. 实验流体力学, 2024, 38(2): 78-87.
LI W Y, WANG T, ZHANG X N, et al. Mechanism study of free-surface polygons formation in rotating fluids[J]. Journal of Experiments in Fluid Mechanics, 2024, 38(2): 78-87.
 Citation: LI W Y, WANG T, ZHANG X N, et al. Mechanism study of free-surface polygons formation in rotating fluids[J]. Journal of Experiments in Fluid Mechanics, 2024, 38(2): 78-87.

## Mechanism study of free-surface polygons formation in rotating fluids

• 摘要: 针对流体在约束旋转中产生多边形涡流的现象，设计了旋转圆筒实验装置，对不同旋转频率、液面高度及圆筒半径下的旋转流体行为进行了研究。基于实验现象，提出了全局复合波理论模型，该模型的计算结果与实验现象一致。根据流动相似理论，利用量纲分析法对实验数据进行分析处理；借助黑体辐射模型给出了流体参数在一定范围下的经验公式，该公式在径长比小于4的情况下与实验数据符合程度较好。本文建立的全局复合波理论模型及相关研究结论可为多边形涡流形成机制与变化规律研究提供理论参考。

Abstract: In order to study the formation mechanism of the polygon phenomenon in rotating fluid, a test set-up of a rotating cylinder which can produce rotating fluid was designed. Experiments on rotating fluid for different rotational frequencies, liquid heights and radii of the cylinder were performed. Based on experimental results, a composite wave theoretical model of the intersection point between the free surface of the fluid and the bottom of the container was established according to the wave equation while ignoring the specific movement inside the fluid. On this basis, the theoretical model was verified by experiments, and the rotation state on the experimental phenomenon was further studied. Based on the experimental data and previous work, this paper made empirical formula fitting to the data, and found that the fitting effect of the blackbody radiation model is the best. The results can be further applied to theoretical research to determine the physical mechanism of the phenomenon.

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