The low Reynolds hydrodynamics of bent rods precessing above flat planes

ORAL

Abstract

We examine the role of bend in rods precessing upright cones above flat planes in Newtonian fluids at low Reynolds. We experimentally document that the effect of bend in the rod is the creation of a novel set of nested tori on which fluid particles live: for straight rods, the tori degenerate into points in a Poincare section, while any amount of bend breaks symmetry and creates these tori. We present slender body asymptotic models which predict quantitatively and qualitatively similar behavior.

Authors

  • Roberto Camassa

    University of North Carolina

  • Elizabeth Bouzarth

    University of North Carolina

  • Pavel Chtcheprov

    University of North Carolina

  • David Marron

    University of North Carolina

  • Richard McLaughlin

    University of North Carolina - Chapel Hill, University of North Carolina

  • Jonathan Toledo

    University of North Carolina

  • Leandra Vicci

    University of North Carolina

  • Longhua Zhao

    University of North Carolina, University of North Carolina at Chapel Hill