Hydrodynamic instability of a fluid layer flowing down a rotating cylinder
Hydrodynamic instability of a fluid layer flowing down a rotating cylinder
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DOI：
10.1063/1.858753
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发表时间：
1993-10
影响因子：
4.6
通讯作者：
L. Dávalos-Orozco;G. Ruiz-Chavarría
中科院分区：
文献类型：
--
作者：
L. Dávalos-Orozco;G. Ruiz-Chavarría
本文研究了沿旋转垂直圆柱内外流下的流体层的线性稳定性。为此，提出了两种近似：小波数近似和小雷诺数近似。在前者中，只有表面张力的径向失稳效应是重要的，并且可以被临界值处的离心力抵消。在后者中，分析整合了不同于m=0的方位角模式。结果表明，对于圆柱外的流动，离心力和波数的大小可能会改变主导模式的不稳定性。对于圆柱内的流动，只有模式m=0可能是不稳定的。这些结果推广了Boudourides和Davis [Z. Angew. Math.Phys.37，597（1986）]中描述。
In this paper the linear stability of a fluid layer flowing down the inside and outside of a rotating vertical cylinder is investigated. To this end, two approximations are made: the small wave number approximation and the small Reynolds number approximation. In the former, only the radial destabilizing effect of surface tension is important and may be counteracted by the centrifugal force at a critical value. In the latter, the analysis integrates the azimuthal modes different from m=0. It is shown that for flow outside the cylinder, the magnitude of centrifugal force and wave number may change the dominant mode of instability. For flow inside the cylinder, only the mode m=0 may be unstable. These results generalize those of Boudourides and Davis [Z. Angew. Math. Phys. 37, 597 (1986)] for swirling viscous flows.