Skip to main content
×
Home
    • Aa
    • Aa

Texture-driven elastohydrodynamic bouncing

  • Thibault Chastel (a1), Philippe Gondret (a2) and Anne Mongruel (a1)
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.

Copyright
Corresponding author
Email address for correspondence: anne.mongruel@upmc.fr
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

G. Barnoky  & R. H. Davis 1988 Elastohydrodynamic collision and rebound of spheres: experimental verification. Phys. Fluids 31, 13241329.

C. Cassar , M. Nicolas  & O. Pouliquen 2005 Submarine granular flows down inclined planes. Phys. Fluids 17, 103301.

T. Chastel  & A. Mongruel 2016 Squeeze flow between a sphere and a textured wall. Phys. Fluids 28, 023301.

S. Courrech du Pont , P. Gondret , B. Perrin  & M. Rabaud 2003 Granular avalanches in fluids. Phys. Rev. Lett. 90, 044301.

R. H. Davis , J.-M. Serayssol  & E. J. Hinch 1986 The elastohydrodynamic collision of two spheres. J. Fluid Mech. 163, 479497.

E. Falcon , C. Laroche , S. Fauve  & C. Coste 1998 Behavior of one inelastic ball bouncing repeatedly off the ground. Eur. Phys. J. B 3, 4557.

P. Gondret , E. Hallouin , M. Lance  & L. Petit 1999 Experiments on the motion of a solid sphere toward a wall: from viscous dissipation to elastohydrodynamic bouncing. Phys. Fluids 11, 28032805.

P. Gondret , M. Lance  & L. Petit 2002 Bouncing motion of spherical particles in fluids. Phys. Fluids 14, 643652.

E. Izard , T. Bonometti  & L. Lacaze 2014 Modelling the dynamics of a sphere approaching and bouncing on a wall in a viscous fluid. J. Fluid Mech. 747, 422446.

K. L. Johnson 1985 Contact Mechanics. Cambridge University Press.

G. G. Joseph 1998 Cavitation and the state of stress in a flowing liquid. J. Fluid Mech. 366, 367378.

G. G. Joseph , R. Zenit , M. L. Hunt  & A. M. Rosenwinkel 2001 Particle wall collisions in a viscous fluid. J. Fluid Mech. 433, 329346.

N. Lecoq , F. Feuillebois , N. Anthore , R. Anthore , F. Bostel  & C. Petipas 1993 Precise measurement of particle–wall hydrodynamic interactions at low Reynolds number using laser interferometry. Phys. Fluids A 5, 312.

D. Legendre , R. Zenit , C. Daniel  & P. Guiraud 2006 A note on the modelling of the bouncing of spherical drops or solid spheres on a wall in viscous fluid. Chem. Engng Sci. 61, 35433549.

G. Lian , M. J. Adams  & C. Thornton 1996 Elastohydrodynamic collisions of solid spheres. J. Fluid Mech. 311, 141152.

J. S. Marshall 2011 Viscous damping force during head-on collision of two spherical particles. Phys. Fluids 23, 013305.

J. O. Marston , W. Yong  & S. T. Thoroddsen 2010 Direct verification of the lubrication force on a sphere travelling through a viscous film upon approach to a solid wall. J. Fluid Mech. 655, 515526.

J. O. Marston , W. Yong , W. K. Ng , R. B. H. Tan  & S. T. Thoroddsen 2011 Cavitation structures formed during the rebound of a sphere from a wetted surface. Exp. Fluids 50, 729746.

A. Mongruel , C. Lamriben , S. Yahiaoui  & F. Feuillebois 2010 The approach of a sphere to a wall at finite Reynolds number. J. Fluid Mech. 661, 229238.

J. A. Simeonov  & J. Calantoni 2012 Modeling mechanical contact and lubrication in direct numerical simulations of colliding particles. Intl J. Multiphase Flow 46, 3853.

J. A. Simeonov 2015 The unsteady hydrodynamic force during the collision of two spheres in a viscous fluid. Acta Mechanica 227, 565580.

F.-L. Yang  & M. L. Hunt 2008 A mixed contact model for an immersed collision between two solid surfaces. Phil. Trans. R. Soc. Lond. A 366, 22052218.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords:

Metrics

Full text views

Total number of HTML views: 3
Total number of PDF views: 105 *
Loading metrics...

Abstract views

Total abstract views: 258 *
Loading metrics...

* Views captured on Cambridge Core between 23rd September 2016 - 25th September 2017. This data will be updated every 24 hours.