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

  • Greg Voth

    • Wesleyan University
    • Wesleyan Univ.
  • Darci Collins

    • Wesleyan Univ.
  • Rami Hamati

    • Wesleyan Univ.
  • Fabien Candelier

    • Aix Marseille Univ.
  • Kristian Gustavsson

    • Gothenburg Univ.
  • Bernhard Mehlig

    • Gothenburg Univ.