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Solid-on-solid contact in a sphere-wall collision in a viscous fluid

Sumit Kumar Birwa1,2,*, G. Rajalakshmi1, Rama Govindarajan1,2, and Narayanan Menon1,3

  • 1TIFR Centre for Interdisciplinary Sciences, 21 Brundavan Colony, Narsingi, Hyderabad 500075, India
  • 2International Centre for Theoretical Sciences, TIFR, Shivakote, Bengaluru 560089, India
  • 3Department of Physics, University of Massachusetts Amherst, Amherst, Massachusetts 01002, USA

  • *birwasumit@gmail.com

Phys. Rev. Fluids 3, 044302 – Published 9 April, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.044302

Abstract

We study experimentally the collision between a sphere falling through a viscous fluid and a solid plate below. It is known that there is a well-defined threshold Stokes number above which the sphere rebounds from such a collision. Our experiment tests for direct contact between the colliding bodies and, contrary to prior theoretical predictions, shows that solid-on-solid contact occurs even for Stokes numbers just above the threshold for rebounding. The dissipation is fluid dominated, though details of the contact mechanics depend on the surface and bulk properties of the solids. Our experiments and a model calculation indicate that mechanical contact between the two colliding objects is generic and will occur for any realistic surface roughness.

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References (14)

  1. O. Reynolds, I. On the theory of lubrication and its application to Mr. Beauchamp tower's experiments, including an experimental determination of the viscosity of olive oil, Proc. R. Soc. London 40, 191 (1886).
  2. R. H. Davis, J.-M. Serayssol, and E. J. Hinch, The elastohydrodynamic collision of two spheres, J. Fluid Mech. 163, 479 (1986).
  3. P. Gondret, E. Hallouin, M. Lance, and L. Petit, Experiments on the motion of a solid sphere toward a wall: From viscous dissipation to elastohydrodynamic bouncing, Phys. Fluids 11, 2803 (1999).
  4. P. Gondret, M. Lance, and L. Petit, Bouncing motion of spherical particles in fluids, Phys. Fluids 14, 643 (2002).
  5. G. G. Joseph, R. Zenit, M. L. Hunt, and A. M. Rosenwinkel, Particle-wall collisions in a viscous fluid, J. Fluid Mech. 433, 329 (2001).
  6. R. Zenit and M. L. Hunt, Mechanics of immersed particle collisions, J. Fluids Eng. 121, 179 (1999).
  7. G. Barnocky and R. H. Davis, Elastohydrodynamic collision and rebound of spheres: Experimental verification, Phys. Fluids 31, 1324 (1988).
  8. R. H. Davis, Elastohydrodynamic collisions of particles, PhysicoChem. Hydrodyn. 9, 41 (1987).
  9. H. King, R. White, I. Maxwell, and N. Menon, Inelastic impact of a sphere on a massive plane: Nonmonotonic velocity-dependence of the restitution coefficient, Europhys. Lett. 93, 14002 (2011).
  10. R. C. Flagan and J. H. Seinfeld, Fundamentals of Air Pollution Engineering (Prentice-Hall, Englewood Cliffs, 1988).
  11. J. Ashmore, C. del Pino, and T. Mullin, Cavitation in a Lubrication Flow Between a Moving Sphere and a Boundary, Phys. Rev. Lett. 94, 124501 (2005).
  12. L. Yang, J. R. T. Seddon, T. Mullin, C. del Pino, and J. Ashmore, The motion of a rough particle in a Stokes flow adjacent to a boundary, J. Fluid Mech. 557, 337 (2006).
  13. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Elsevier, New York, 1986).
  14. L. G. Leal, Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes (Cambridge University Press, Cambridge, 2007).

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