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Updated: Aug 10, 2026

The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids
Published on: September 30, 2014
Exact solutions for equilibrium configurations of charged conducting liquid jets
Nikolay M Zubarev1, Olga V Zubareva
1Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, 106 Amundsen Street, 620016 Ekaterinburg, Russia. nick@ami.uran.ru
Abstract:
A wide class of exact solutions is obtained for the problem of finding the equilibrium configurations of charged jets of a conducting liquid; these configurations correspond to the finite-amplitude azimuthal deformations of the surface of a round jet. A critical value of the linear electric charge density is determined, for which the jet surface becomes self-intersecting, and the jet splits into two. It exceeds the density value required for the excitation of the linear azimuthal instability of the round jet. Hence, there exists a range of linear charge-density values, where our solutions may be stable with respect to small azimuthal perturbations.
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