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Three-Lobed Shape Bifurcation of Rotating Liquid Drops

2000; American Physical Society; Volume: 84; Issue: 8 Linguagem: Inglês

10.1103/physrevlett.84.1700

1092-0145

K. Ohsaka, E. H. Trinh,

Nonlinear Dynamics and Pattern Formation

The evolution of axisymmetric equilibrium shapes of a rigidly rotating liquid drop can be extended beyond the 2-lobed shape bifurcation point if the rotating drop is driven in the $n\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}2$ axisymmetric shape oscillation (perturbation), where $n$ is the mode of oscillation. A reason for the extended stability of the perturbed rotating drop is that the inertia of the driven axisymmetric shape oscillation suppresses growth of a natural nonaxisymmetric shape fluctuation which leads to the 2-lobed shape bifurcation. The axisymmetric shape of the drop eventually bifurcates into either a 2- or a 3-lobed shape at a higher bifurcation point which is asserted to be the 3-lobed shape bifurcation point.