Distribution of relative velocities in turbulent aerosols
arXiv:1012.1789 · doi:10.1103/PhysRevE.84.045304
Abstract
We compute the distribution of relative velocities for a one-dimensional model of heavy particles suspended in a turbulent flow, quantifying the caustic contribution to the moments of relative velocities. The same principles determine the corresponding caustic contribution in spatial dimensions. The distribution of relative velocities Δv at small separations R acquires the universal form ρ(Δv,R) ~ R^{d-1}|Δv|^{D_2-2d} for large (but not too large) values of |Δv|. Here D_2 is the phase-space correlation dimension. Our conclusions are in excellent agreement with numerical simulations of particles suspended in a randomly mixing flow in two dimensions, and in quantitative agreement with published data on direct numerical simulations of particles in turbulent flows.
Revised version, as published. 4 pages, 2 figures
References in corpus (4)
Cited by in corpus (39)
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