Polygonal instabilities on interfacial vorticities
classification
⚛️ physics.flu-dyn
keywords
hydraulicpolygonalresultstoroidalvortexboundbumpcircular
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We report the results of a theoretical investigation of the stability of a toroidal vortex bound by an interface. Two distinct instability mechanisms are identified that rely on, respectively, surface tension and fluid inertia, either of which may prompt the transformation from a circular to a polygonal torus. Our results are discussed in the context of three experiments, a toroidal vortex ring, the hydraulic jump, and the hydraulic bump.
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