Small oscillations of a liquid drop with surface charge
- 1 January 1978
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (1) , 225-229
- https://doi.org/10.1088/0305-4470/11/1/024
Abstract
A viscous incompressible non-conducting fluid forms a spherical drop with an electric charge distributed uniformly over its surface. Small oscillations about the spherical shape are possible because of surface tension; a transcendental equation is given, to determine their frequency and damping. If the electric charge is sufficiently large, the drop is unstable. But the principle of exchange of stabilities is valid, and the maximum charge consistent with stability is given by Rayleigh's calculation for a conducting, inviscid fluid drop.Keywords
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