Instability caused by the coupling between non-resonant shape oscillation modes of a charged conducting drop

Z. C. FENG

doi:10.1017/S0022112096004156

Abstract

By examining the modal interaction between two non-resonant shape oscillation modes of a charged liquid drop, we have identified a new route to instability via nonlinear coupling. We present numerical simulation results to show that when shape perturbation of a high-mode number Legendre mode is applied to the drop, the prolate–oblate mode of the drop may grow unbounded. Using multiple-scale analysis, we derive amplitude equations for the high-mode-number shape mode and the prolate–oblate mode to show the nonlinear coupling between the two modes.

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Instability caused by the coupling between non-resonant shape oscillation modes of a charged conducting drop

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Instability caused by the coupling between non-resonant shape oscillation modes of a charged conducting drop

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