One-fluid description of turbulently flowing suspension
Abstract
We suggested a one-fluid model of a turbulent dilute suspension which accounts for the ``two-way'' fluid-particle interactions by $k$-dependent effective density of suspension and additional damping term in the Navier-Stokes equation. We presented analytical description of the particle modification of turbulence including scale invariant suppression of a small $k$ part of turbulent spectrum (independent of the particle response time) and possible enhancemenent of large $k$ region [up to the factor $(1+\phi)^{2/3}$]. Our results are in agreement with qualitative picture of isotropic homogeneous turbulence of dilute suspensions previously observed in laboratory and numerical experiments.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2002
- DOI:
- 10.48550/arXiv.nlin/0203016
- arXiv:
- arXiv:nlin/0203016
- Bibcode:
- 2002nlin......3016L
- Keywords:
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- Chaotic Dynamics
- E-Print:
- PRL submitted, 4 pages, 3 figures, included