On Some Regularities in the Implementation of the Electrostatic Instability of a Charged Liquid Surface in a Pool of Finite Dimensions

The physical regularities of implementing the electrostatic instability of a flat charged surface of a noncompressible viscous conducting liquid are considered for the case of a pool of finite dimensions where the spectrum of emerging capillary waves is discrete. The critical conditions for the onset of the electrostatic instability of an uncompressible viscous conductive liquid in a pool of finite dimensions are shown to coincide with those for a boundless surface of an infinitely deep ideal uncompressible liquid (coincide with the conditions for implementing Tonks-Frenkel instability). This makes it possible to experimentally verify the criterion for implementing Tonks-Frenkel instability using pools of finite dimensions without introducing qualitative errors.