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 $(1+\varphi {)}^{2/3}$]. Our results are in agreement with qualitative picture of isotropic homogeneous turbulence of dilute suspensions previously observed in laboratory and numerical experiments.

PRL submitted, 4 pages, 3 figures, included