http://www.cnr.it/ontology/cnr/individuo/prodotto/ID44620
Particle transport in a random velocity field with Lagrangian statistics (Articolo in rivista)
- Type
- Label
- Particle transport in a random velocity field with Lagrangian statistics (Articolo in rivista) (literal)
- Anno
- 2003-01-01T00:00:00+01:00 (literal)
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- Pubblicazione scientifica (literal)
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- ISI Web of Science (WOS) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- ISAC-CNR Sez. Lecce (literal)
- Titolo
- Particle transport in a random velocity field with Lagrangian statistics (literal)
- Abstract
- The transport properties of a random velocity field with Kolmogorov
spectrum and time correlations defined along Lagrangian trajectories are
analyzed. The analysis is carried on in the limit of short correlation
times, as a perturbation theory in the ratio, scale by scale, of the eddy
decay and turn-over time. Various quantities such as the Batchelor constant
and the dimensionless constants entering the expression for particle
relative and self-diffusion are given in terms of this ratio and of the
Kolmogorov constant. Particular attention is paid to particles with finite
inertia. The self-diffusion properties of a particle with Stokes time
longer than the Kolmogorov time are determined, verifying on an analytical
example the dimensional results of [P. Olla (2002)]. Expressions for the
fluid velocity Lagrangian correlations and correlation times along a solid
particle trajectory are provided in several parameter regimes, including
the infinite Stokes time limit corresponding to Eulerian correlations. The
concentration fluctuation spectrum and the non-ergodic properties of a
suspension of heavy particles in a turbulent flow, in the same regime, are
analyzed. The concentration spectrum is predicted to obey, above the scale
of eddies with lifetime equal to the Stokes time, a power law with
universal -4/3 exponent, and to be otherwise independent of the nature of
the turbulent flow. A preference of the solid particle to lie in less
energetic regions of the flow is observed.
(literal)
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