Exact solutions for equilibrium configurations of charged conducting liquid jets

Details Exact solutions for equilibrium configurations of charged conducting liquid jets Exact solutions for equilibrium configurations of charged conducting liquid jets

2004-12-10

arxiv.org/abs/physics/0412061v1

Physical Review E 71, 016307 (2005)

Physics

Fluid Dynamics

7 pages, 5 figures, to appear in Physical Review E

Scientific paper

10.1103/PhysRevE.71.016307

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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