On Increments of Capillary Waves’ Instability on the Surface of the Charged Electroconductive Jet Moving Relative to Material Medium

Abstract—For the first azimuthal modes of a charged jet of an electrically conductive incompressible liquid, the increments of the instability of capillary waves, their magnitude, and dependence on the physical parameters of the task, the position of the instability zones on the set of the wave numbers were examined. It was found that the widths of the ranges of the wave numbers of unstable waves and the values of instability increments depend on the square of the intensity of an electrostatic field and the square of the speed of relative motion increasing at a higher field strength and speed. In the absence of a charge on the jet, bending instability has a threshold character, and it is realized not at any load speed value but starting from certain final value of it.