• Corpus ID: 121026078

One-fluid description of turbulently flowing suspension

@article{Lvov2002OnefluidDO,
  title={One-fluid description of turbulently flowing suspension},
  author={Victor S. L’vov and Anna Pomyalov},
  journal={arXiv: Chaotic Dynamics},
  year={2002}
}

• V. L’vov, A. Pomyalov
• Published 9 March 2002
• Physics
• arXiv: Chaotic Dynamics

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.