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Rotation of a submerged finite cylinder moving down a soft incline

POSTER

Abstract

A submerged finite cylinder moving under its own weight along a soft incline lifts off and slides at a steady velocity while also spinning. Here, we experimentally quantify the steady spinning of the cylinder and show theoretically that it is due to a combination of an elastohydrodynamic torque generated by flow in the variable gap, and the viscous friction on the edges of the finite-length cylinder. The relative influence of the latter depends on the aspect ratio of the cylinder, the angle of the incline, and the deformability of the substrate, which we express in terms of a single scaled compliance parameter. By independently varying these quantities, we show that our experimental results are consistent with a transition from an edge-effect dominated regime for short cylinders to a gap-dominated elastohydrodynamic regime when the cylinder is very long. This work is a step in explaining the motion of free particles in situations where elasticity and hydrodynamics are intimately coupled, such as cells in a microfluidic channel or in a blood vessel. \textit{B. Saintyves, B. Rallabandi, T. Jules, J. Ault, T. Salez, C. Schonecker,} \textit{H.A. Stone and L. Mahadevan}\textit{, Soft Matter 16 (16), 4000-4007.}

Authors

  • Baudouin Saintyves

    University of Chicago

  • Bhargav Rallabandi

    University of California, Riverside, University of California Riverside, Department of Mechanical Engineering, University of California, Riverside

  • Theo Jules

    ENS Lyon

  • Thomas Salez

    Universite de Bordeaux, Univ.~Bordeaux, CNRS, LOMA, UMR 5798, F-33405, Talence, France, LOMA, Bordeaux University

  • Jesse Ault

    Brown University

  • Clarissa Schonecker

    Max Planck Institute for Polymer Research

  • Howard A. Stone

    Princeton University

  • Mahadevan Lakshminarayanan

    Harvard University, John A. Paulson School of Engineering and Applied Sciences, Harvard University, School of Engineering and Applied Sciences, Harvard University