Dusty turbulence
J\'er\'emie Bec, Fran\c{c}ois Laenen, Stefano Musacchio

TL;DR
This paper reveals a new scaling law for velocity fluctuations in dusty turbulence, driven by particle-induced Kelvin-Helmholtz instabilities, confirmed through numerical simulations.
Contribution
It introduces a novel scaling law for velocity spectra in dusty turbulence resulting from particle feedback forces.
Findings
Velocity spectra follow a $k^{-2}$ power law.
Kelvin-Helmholtz instabilities facilitate energy transfer to small scales.
Numerical simulations confirm the proposed mechanism.
Abstract
The feedback forces exerted by particles suspended in a turbulent flow is shown to lead to a new scaling law for velocity fluctuations associated to a power-spectra . The mechanism at play relies on a direct transfer of kinetic energy to small scales through Kelvin--Helmholtz instabilities occurring in regions of high particle density contrast. This finding is confirmed by two-dimensional direct numerical simulations.
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Taxonomy
TopicsParticle Dynamics in Fluid Flows · Fluid Dynamics and Turbulent Flows · Statistical Mechanics and Entropy
