Turbulence modulation in heavy-loaded suspensions of tiny particles

Abstract

The features of turbulence modulation produced by a heavy loaded suspension of small solid particles or liquid droplets are discussed by using a physically-based regularisation of particle-fluid interactions. The approach allows a robust description of the small scale properties of the system exploiting the convergence of the statistics with respect to the regularisation parameter. It is shown that sub-Kolmogorov particles/droplets modify the energy spectrum leading to a scaling law, $E(k)\propto k^{-4}$, that emerges at small scales where the particle forcing balances the viscous dissipation. This regime is confirmed by Direct Numerical Simulation data of a particle-laden statistically steady homogeneous shear flow, demonstrating the ability of the regularised model to capture the relevant small-scale physics. The energy budget in spectral space, extended to account for the inter-phase momentum exchange, highlights how the particle provide an energy sink in the production range that turns into a source at small scales. Overall, the dissipative fluid-particle interaction is found to stall the energy cascade processes typical of Newtonian turbulent flows. In terms of particle statistics, clustering at small scale is depleted, with potential consequences for collision models.

References in corpus (11)

• Rapid planetesimal formation in turbulent circumstellar discs
• Fluid dynamics of bacterial turbulence
• Radial Flow of Dust Particles in Accretion Disks
• Heavy particle concentration in turbulence at dissipative and inertial scales
• Exact regularized point particle method for multi-phase flows in the two-way coupling regime
• Effects of dust feedback on vortices in protoplanetary disks
• Anisotropic clustering of inertial particles in homogeneous shear flow
• Scale by scale budget and similarity laws for shear turbulence
• Turbulence-Induced Relative Velocity of Dust particles IV: the Collision Kernel
• Can planetesimals form by collisional fusion?
• Self-sustained oscillations in homogeneous shear flow

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