Is there solid-on-solid contact when spheres collide in a fluid?
ORAL
Abstract
A solid sphere colliding with another sphere or a wall within a fluid reverses its velocity and bounces back when it is launched with a Stokes number above a critical value, St$_{\mathrm{c}} \quad \approx $ 10. Previous experiments showed that St$_{\mathrm{c}}$ is only weakly dependent on the material or roughness of the sphere, but did not have the spatial or temporal resolution to determine whether solid impact occurs in the collision. A calculation [1] in the lubrication approximation shows that it is possible for an elastic sphere to rebound under fluid forces alone, without contact between the solids. We report experiments which exploit electrical contact between a sphere and wall to study the collision with high temporal resolution. We find unambiguously that there is solid-on-solid contact when the sphere rebounds from a collision. Analysis of the time of contact, and the time between consecutive impacts, indicates that even when there is impact, fluid viscosity is the dominant dissipative mechanism. The exception is for very smooth spheres, at stokes numbers just above St$_{\mathrm{c}}$. We present calculations with the incompressible Navier-Stokes equations to assess viscous dissipation and pressure effects in the collision.\\[4pt] [1] R. H. Davis, J.-M. Serayssol, and E. Hinch, Journal of Fluid Mechanics 163, 479 (1986)
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Authors
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Narayanan Menon
U. Massachusetts, Amherst, USA and TCIS, Hyderabad, India
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Sumit Birwa
TCIS, Hyderabad, India
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G. Rajalakshmi
TCIS, Hyderabad, India
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Rama Govindarajan
TIFR Centre for Interdisciplinary Sciences, Hyderabad, Tata Institute of Fundamental Research, Centre for Interdisciplinary Sciences, Tata Institute of Fundamental Research Narsingi, Hyderabad, India, TCIS, Hyderabad, India, Tata Institute of Fundamental Research, Centre for Interdisciplinary Sciences, India, TIFR Centre for Interdisciplinary Sciences, Hyderabad, India, TIFR Centre for Interdisciplinary Sciences