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On Bubble Rings and Ink Chandeliers

Marcel Padilla, Albert Chern, Felix Knöppel, Ulrich Pinkall, Peter Schröder

We introduce variable thickness, viscous vortex filaments. These can model such varied phenomena as underwater bubble rings or the intricate “chandeliers” formed by ink dropping into fluid. Treating the evolution of such filaments as an instance of Newtonian dynamics on a Riemannian configuration manifold we are able to extend classical work in the dynamics of vortex filaments through inclusion of viscous drag forces. The latter must be accounted for in low Reynolds number flows where they lead to significant variations in filament thickness and form an essential part of the observed dynamics. We develop and document both the underlying theory and associated practical numerical algorithms.

On Bubble Rings and Ink Chandeliers

Posted by christopherbatty on May 8th, 2019 Posted in Uncategorized
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