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arXiv · 0905.3142

Measurements of Accelerations of Large Neutrally-buoyant Particles in Intense Turbulence

Rachel D. Brown·Zellman Warhaft·Greg A. Voth
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Abstract

We measure acceleration statistics of neutrally buoyant spherical particles with diameter 0.4 < d/eta <27 in intense turbulence (400< R_lambda <815). High speed cameras image polystyrene tracer particles in a flow between counter-rotating disks. The measurements of acceleration variance, , clearly resolve the transition from the tracer like behavior of small particles to the much smaller accelerations of large particles. For d>5 eta, decreases with diameter as d^{-2/3} in agreement with inertial range scaling arguments. A model relating to the pressure structure functions matches the transition from small to large particle behavior if the particles respond to pressure differences over (1.7 +- 0.3) d. A model relating to the fluid acceleration averaged over the particle diameter predicts the transition with no free parameters, but does not show clean inertial range scaling in the size range studied. Consistent with earlier work, we find that the scaled acceleration probability density function shows very little dependence on particle size.

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Rachel D. Brown, Zellman Warhaft, Greg A. Voth. 2009-05-19. Measurements of Accelerations of Large Neutrally-buoyant Particles in Intense Turbulence. https://arxiv.org/abs/0905.3142

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