Perturbation theory for large Stokes number particles in random velocity fields

Details Perturbation theory for large Stokes number particles in random velocity fields Perturbation theory for large Stokes number particles in random velocity fields

2008-01-21

arxiv.org/abs/0801.3204v2

Eur. Phys. J. B Vol. 65, 279 (2008)

Physics

Condensed Matter

Statistical Mechanics

Latex, 12 pages, 2 eps figures included

Scientific paper

10.1140/epjb/e2008-00354-y

We derive a perturbative approach to study, in the large inertia limit, the dynamics of solid particles in a smooth, incompressible and finite-time correlated random velocity field. We carry on an expansion in powers of the inverse square root of the Stokes number, defined as the ratio of the relaxation time for the particle velocities and the correlation time of the velocity field. We describe in this limit the residual concentration fluctuations of the particle suspension, and determine the contribution to the collision statistics produced by clustering. For both concentration fluctuations and collision velocities, we analyze the differences with the compressible one-dimensional case.

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