On Some Peculiarities of Implementation of Instability of Flat Charged Surface of Electroconductive Liquid

Abstract

The characteristic sizes and charges of droplets formed during the realization of the electrostatic instability of a uniformly charged, charge-induced flat surface of an electrically conductive liquid are calculated on the base of the principle of the least energy dissipation in the Onsager nonequilibrium processes. It was found that the droplets of the same size and charges are emitted when the electrostatic instability of a flat liquid surface is realized. The surface should be infinitely extended along both axes of the Cartesian coordinate system of the liquid, and the axes should be perpendicular to the direction of gravity. If to compare the same characteristics of the charged droplet disintegration, unstable to its own charge, then there will be a number of differences, i.e., in the number of emitted progeny droplets, in their sizes and charges, and in the tendency of all parameters to change with an increase in the ordinal number of the progeny droplet. The paper considers the progeny droplets to be initially unstable to the electric charge which is located on them.