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arXiv · 1511.04368

Polygonal instabilities on interfacial vorticities

Matthieu Labousse·John W. M. Bush
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Abstract

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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Matthieu Labousse, John W. M. Bush. 2015-11-13. Polygonal instabilities on interfacial vorticities. https://doi.org/10.1140/epje%2Fi2015-15113-5

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