Lord Kelvin's Isotropic Helicoid
POSTER
Abstract
Nearly 150 years ago, Lord Kelvin proposed the isotropic helicoid with isotropic yet chiral interactions with a fluid so that translation couples to rotation. A 3D-printed implementation of his design is found experimentally to have no detectable translation-rotation coupling, although the particle point-group symmetry allows this coupling. These results are explained by demonstrating that in Stokes flow, the chiral coupling of such isotropic helicoids made out of non-chiral vanes is due only to hydrodynamic interactions between these vanes and therefore is small. Kelvin's predicted isotropic helicoid exists, but only as a weak breaking of a symmetry of non-interacting vanes in Stokes flow.
Authors
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Greg Voth
Wesleyan University, Wesleyan Univ.
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Darci Collins
Wesleyan Univ.
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Rami Hamati
Wesleyan Univ.
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Fabien Candelier
Aix Marseille Univ.
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Kristian Gustavsson
Gothenburg Univ.
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Bernhard Mehlig
Gothenburg Univ.