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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.

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Email address for correspondence: anne.mongruel@upmc.fr
References
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Ardekany A. M. & Rangel R. H. 2008 Numerical investigation of particle–particle and particle–wall collisions in a viscous fluid. J. Fluid Mech. 596, 437466.
Barnoky G. & Davis R. H. 1988 Elastohydrodynamic collision and rebound of spheres: experimental verification. Phys. Fluids 31, 13241329.
Cassar C., Nicolas M. & Pouliquen O. 2005 Submarine granular flows down inclined planes. Phys. Fluids 17, 103301.
Chastel T.2015 Interactions hydrodynamiques entre une sphère et une paroi texturée: approche, collision et rebond. PhD thesis, Université Pierre et Marie Curie.
Chastel T. & Mongruel A. 2016 Squeeze flow between a sphere and a textured wall. Phys. Fluids 28, 023301.
Costa P., Boersma B. J., Westerweel J. & Breugem W.-P. 2015 Collision model for fully resolved simulations of flows laden with finite-size particles. Phys. Rev. E 92, 053012.
Courrech du Pont S., Gondret P., Perrin B. & Rabaud M. 2003 Granular avalanches in fluids. Phys. Rev. Lett. 90, 044301.
Davis R. H., Serayssol J.-M. & Hinch E. J. 1986 The elastohydrodynamic collision of two spheres. J. Fluid Mech. 163, 479497.
Falcon E., Laroche C., Fauve S. & Coste C. 1998 Behavior of one inelastic ball bouncing repeatedly off the ground. Eur. Phys. J. B 3, 4557.
Gondret P., Hallouin E., Lance M. & Petit L. 1999 Experiments on the motion of a solid sphere toward a wall: from viscous dissipation to elastohydrodynamic bouncing. Phys. Fluids 11, 28032805.
Gondret P., Lance M. & Petit L. 2002 Bouncing motion of spherical particles in fluids. Phys. Fluids 14, 643652.
Izard E., Bonometti T. & Lacaze L. 2014 Modelling the dynamics of a sphere approaching and bouncing on a wall in a viscous fluid. J. Fluid Mech. 747, 422446.
Johnson K. L. 1985 Contact Mechanics. Cambridge University Press.
Joseph G. G. 1998 Cavitation and the state of stress in a flowing liquid. J. Fluid Mech. 366, 367378.
Joseph G. G., Zenit R., Hunt M. L. & Rosenwinkel A. M. 2001 Particle wall collisions in a viscous fluid. J. Fluid Mech. 433, 329346.
Landau L. D. & Lifshitz E. M. 1970 Theory of Elasticity. Elsevier.
Lecoq N., Feuillebois F., Anthore N., Anthore R., Bostel F. & Petipas C. 1993 Precise measurement of particle–wall hydrodynamic interactions at low Reynolds number using laser interferometry. Phys. Fluids A 5, 312.
Legendre D., Zenit R., Daniel C. & Guiraud P. 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.
Lian G., Adams M. J. & Thornton C. 1996 Elastohydrodynamic collisions of solid spheres. J. Fluid Mech. 311, 141152.
Marshall J. S. 2011 Viscous damping force during head-on collision of two spherical particles. Phys. Fluids 23, 013305.
Marston J. O., Yong W. & Thoroddsen S. T. 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.
Marston J. O., Yong W., Ng W. K., Tan R. B. H. & Thoroddsen S. T. 2011 Cavitation structures formed during the rebound of a sphere from a wetted surface. Exp. Fluids 50, 729746.
Mongruel A., Lamriben C., Yahiaoui S. & Feuillebois F. 2010 The approach of a sphere to a wall at finite Reynolds number. J. Fluid Mech. 661, 229238.
Simeonov J. A. & Calantoni J. 2012 Modeling mechanical contact and lubrication in direct numerical simulations of colliding particles. Intl J. Multiphase Flow 46, 3853.
Simeonov J. A. 2015 The unsteady hydrodynamic force during the collision of two spheres in a viscous fluid. Acta Mechanica 227, 565580.
Yang F.-L. & Hunt M. L. 2008 A mixed contact model for an immersed collision between two solid surfaces. Phil. Trans. R. Soc. Lond. A 366, 22052218.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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