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Destabilization of a liquid ring in the binormal direction
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The instability of a circular inviscid ring in its binormal direction is investigated theoretically by linear analysis. The analytical solutions of growth rates are obtained for both the simple sinuous mode and the varicose mode, namely, the classical Rayleigh mode. Different from the varicose mode, the unstable sinuous mode is caused not by the surface tension but by the aerodynamic lift force. The superimposition of these two modes provides a surface shape, which is qualitatively consistent with experimental observations on drop splash.
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