Abstract
A dispersion relation is obtained for the capillary oscillations of a hemispherical protrusion (oblate or prolate) on the plane surface of a conducting liquid in a uniform electrostatic field parallel to the symmetry axis of the protrusion. For the fundamental mode of the capillary oscillations realized on the protrusion the critical dependence of the parameter characterizing its stability in an external electrostatic field is obtained as a function of the square of the eccentricity as the protrusion is drawn out from the an oblate to a prolate hemisphere. Such a change in shape lowers the threshold electric field for instability of the protrusion.
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Zh. Tekh. Fiz. 69, 15–22 (July 1999)
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Shiryaeva, S.O., Grigor’ev, A.I. & Belonozhko, D.F. Some observations on the appearance of instability of a plane charged liquid surface. Tech. Phys. 44, 750–757 (1999). https://doi.org/10.1134/1.1259341
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DOI: https://doi.org/10.1134/1.1259341