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Texture-driven elastohydrodynamic bouncing

Published online by Cambridge University Press:  23 September 2016

Thibault Chastel ,
Philippe Gondret  and
Anne Mongruel
Thibault Chastel
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), UMR CNRS 7636; PSL - ESPCI, 10 rue Vauquelin, 75005 Paris, France; Sorbonne Universités - UPMC, Univ. Paris 06; Sorbonne Paris Cité - UDD, Univ. Paris 07, France
Philippe Gondret
Affiliation:
Laboratoire FAST, Univ. Paris-Sud, CNRS, Université Paris-Saclay, F-91405, Orsay, France
Anne Mongruel*
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), UMR CNRS 7636; PSL - ESPCI, 10 rue Vauquelin, 75005 Paris, France; Sorbonne Universités - UPMC, Univ. Paris 06; Sorbonne Paris Cité - UDD, Univ. Paris 07, France
*
†Email address for correspondence: anne.mongruel@upmc.fr
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Abstract

We investigate in detail the dynamics of bouncing of a fluid-immersed solid sphere onto a textured wall at moderate Reynolds and Stokes numbers. Using high-frequency interferometric measurements, the dynamics of the sphere is resolved in time and space, before, during and after collision with the wall. The critical Stokes number for bouncing is shown to be significantly influenced by the geometry of the texture, i.e. the surface fraction and the height of the micro-pillars. A modified Hertz model is developed to take into account the influence of this texture geometry on the collision dynamics. The predicted scaling for the collision time and penetration depth of the sphere into the textured wall is found to be in good agreement with the experimental measurements.

JFM classification

Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Multiphase and Particle-laden Flows: Particle/fluid flow

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 805 , 25 October 2016 , pp. 577 - 590
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Copyright
© 2016 Cambridge University Press 

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