Stability of Electrically Charged Viscous Cylinders
Stability of Electrically Charged Viscous Cylinders
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DOI：
10.1063/1.1693569
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发表时间：
1971-06
影响因子：
4.6
通讯作者：
D. Saville
中科院分区：
文献类型：
--
作者：
D. Saville
在考虑电场、表面张力、粘度和惯性的影响下，推导了描述带电流体圆柱体稳定性的特征方程。电场使圆柱体在界面发生非轴对称变形后不稳定。对于相对无粘的流体，带电可以使非轴对称扰动的增长率几乎与轴对称形式的增长率一样大。结果发现，粘性效应对轴对称运动的阻尼力大于伴随弯曲变形的运动，因此，在许多情况下，弯曲模式可能是最不稳定的扰动形式。粘性和电场的综合作用使得圆柱体在大约与圆柱体周长一样大的波长上表现出最大的不稳定性，这与瑞利对不带电的流体圆柱体的结果相反。
A characteristic equation describing the stability of an electrified fluid cylinder is derived taking into account effects due to the electric field, surface tension, viscosity, and inertia. The electric field causes the cylinder to be unstable subsequent to nonaxisymmetric deformations of the interface. For relatively inviscid fluids electrification can make the growth rates for nonaxisymmetric disturbances almost as large as the rates for axisymmetric forms. It is found that viscous effects tend to damp axisymmetric motions more than motions accompanying a sinuous deformation; thus, the sinuous mode may be the most unstable form of disturbance in many situations. The combined effects of viscosity and the electric field act so that the cylinder manifests the greatest instability at wavelengths about as large as the circumference of the cylinder, when viscous effects are paramount, in contrast to Rayleigh's result for an unelectrified fluid cylinder.