Abstract—

The dispersion relation for capillary waves of an arbitrary azimuthal symmetry on an elliptic cross-section jet in a uniform electrostatic field which is perpendicular to the axis of symmetry of the jet is derived. The stability of the first three azimuthal modes is investigated. It is shown that the stability of capillary waves on the jet reduces with increase in the external electrostatic field strength and the related eccentricity of transverse jet cross-section, as well as with increase in the polarization charge on the jet surface. Comparison with a jet in a radial electrostatic field is carried out. In the case of the transverse electrostatic field the instability growth rates of the capillary waves of any symmetry on the jet surface are turned out to be significantly higher than those in the case of the radial electrostatic field.

中文翻译：

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均匀静电场中射流上任意对称的毛细管波的稳定性

摘要-

得出椭圆截面射流在垂直于射流对称轴的均匀静电场中任意方位对称的毛细管波的色散关系。研究了前三个方位模的稳定性。结果表明，随着外部静电场强度的增加和横向射流横截面的相关偏心率以及射流表面极化电荷的增加，毛细管在射流上的稳定性降低。在径向静电场中与射流进行比较。事实证明，在横向静电场的情况下，喷射表面上任何对称的毛细管波的不稳定性增长速率明显高于在径向静电场的情况下的不稳定性增长速率。