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Heavy Particle Concentration in Turbulence at Dissipative and Inertial Scales
Author(s) -
Jérémie Bec,
L. Biferale,
Massimo Cencini,
Alessandra S. Lanotte,
S. Musacchio,
Federico Toschi
Publication year - 2007
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.98.084502
Subject(s) - turbulence , physics , stokes number , reynolds number , kolmogorov microscales , dissipative system , statistical physics , isotropy , mechanics , compressibility , inertial frame of reference , range (aeronautics) , homogeneous isotropic turbulence , particle (ecology) , classical mechanics , direct numerical simulation , k epsilon turbulence model , thermodynamics , k omega turbulence model , materials science , oceanography , geology , quantum mechanics , composite material
Spatial distributions of heavy particles suspended in an incompressibleisotropic and homogeneous turbulent flow are investigated by means of highresolution direct numerical simulations. In the dissipative range, it is shownthat particles form fractal clusters with properties independent of theReynolds number. Clustering is there optimal when the particle response time isof the order of the Kolmogorov time scale $\tau_\eta$. In the inertial range,the particle distribution is no longer scale-invariant. It is however shownthat deviations from uniformity depend on a rescaled contraction rate, which isdifferent from the local Stokes number given by dimensional analysis. Particledistribution is characterized by voids spanning all scales of the turbulentflow; their signature in the coarse-grained mass probability distribution is analgebraic behavior at small densities.Comment: 4 RevTeX pgs + 4 color Figures included, 1 figure eliminated second part of the paper completely revise

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