INSTABILITY CAUSED BY THE COUPLING BETWEEN NON-RESONANT SHAPE OSCILLATION MODES OF A CHARGED CONDUCTING DROP

摘要

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. [References: 24]