Abstract—

The higher-order azimuthal modes of a charged jet of ideal incompressible conducting liquid that moves relative to the surrounding dielectric medium are first investigated. It is shown that there are thresholds of the surface electric charge density above which electrostatic instability of the parent jet surface is implemented. The instability manifests itself in ejection of daughter jets, which are thinner by approximately two orders of magnitude and thereafter disintegrate into droplets. As the mode number increases and the jet velocity relative to the medium decreases, the threshold heights increase. A similar phenomenon is recorded in reference to the velocity of the relative motion of jet and medium. In this case the instability is called aerodynamic but it is implemented at fairly high speeds.

中文翻译：

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带电射流高阶方位模式的静电不稳定性

摘要——

首先研究了相对于周围电介质移动的理想不可压缩导电液体的带电射流的高阶方位角模式。结果表明，存在表面电荷密度的阈值，高于该阈值时，母体射流表面的静电不稳定性就会实现。不稳定性表现在子射流的喷射中，子射流变薄了大约两个数量级，然后分解成液滴。随着模式数的增加和相对于介质的射流速度降低，阈值高度增加。参照射流和介质的相对运动速度记录了类似的现象。在这种情况下，不稳定性被称为空气动力学，但它是在相当高的速度下实现的。