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Phys. Rev. Lett. 103, 194501 (2009) [4 pages]

Acceleration Statistics of Neutrally Buoyant Spherical Particles in Intense Turbulence

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Rachel D. Brown1, Z. Warhaft2, and Greg A. Voth1
1Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA
2Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA

Received 7 April 2009; published 5 November 2009

We measure acceleration statistics of neutrally buoyant spherical particles with a diameter 0.4<d/η<27 in intense turbulence (400<Rλ<815). High speed cameras image polystyrene tracer particles in a flow between counterrotating disks. The measurements of acceleration variance a2 clearly resolve the transition from the tracer like behavior of small particles to the much smaller accelerations of large particles. Two models of this transition from small to large particle behavior are critically examined. For d>5η, a2 decreases with the diameter as d-2/3, in agreement with inertial range scaling arguments. Consistent with earlier work, we find that the scaled acceleration probability density function shows very little dependence on particle size.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.194501
DOI:
10.1103/PhysRevLett.103.194501
PACS:
47.27.Jv, 47.55.Kf

*http://gvoth.web.wesleyan.edu/lab.htm