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CONDENSED MATTER

Conical structures on the liquid surface in an electric field: effect of volume and surface charges

M. A. Belyaev^a, N. M. Zubarev^ab, O. V. Zubareva<sup>a

a</sup> Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620016 Russia
^b Lebedev Physical Institute, Russian Academy of Sciences, Moscow, 119991 Russia

Abstract: Conical structures formed on the liquid surface with the surface ionic conductivity in an external electric field have been studied taking into account the effect of the volume electric charge of the flow of droplets emitted from the apex of the cone into the surrounding gas. Exact multiparametric self-similar solutions have been obtained for the electric field distribution near the apex of the cone and for the motion of charged ions and droplets in this field. These solutions have allowed us to determine and to classify relations between the angle of the liquid cone, droplet divergence angle, and the electric current through the cone at various parameters of the problem.

Received: 04.03.2024
Revised: 13.03.2024
Accepted: 15.03.2024

DOI: 10.31857/S123456782408007X

 English version: Journal of Experimental and Theoretical Physics Letters, 2024, 119:8, 617–624