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Exact solutions for equilibrium configurations of charged conducting liquid jets

N. M. Zubarev·O. V. Zubareva
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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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N. M. Zubarev, O. V. Zubareva. 2004-12-10. Exact solutions for equilibrium configurations of charged conducting liquid jets. https://doi.org/10.1103/physreve.71.016307

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