Electrostatic Instability of the Higher-Order Azimuthal Modes of a Charged Jet

Thehigher-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.