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One-fluid description of turbulently flowing suspension

Victor S. L'vov·Anna Pomyalov
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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 $(1+ϕ)^{2/3}$]. Our results are in agreement with qualitative picture of isotropic homogeneous turbulence of dilute suspensions previously observed in laboratory and numerical experiments.

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Victor S. L'vov, Anna Pomyalov. 2002-03-09. One-fluid description of turbulently flowing suspension. https://arxiv.org/abs/nlin/0203016

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