A suspension of heavy Kolmogorov-size spheres suppresses the inertial cascade in homogeneous and isotropic turbulence

The effect of Kolmogorov-size spherical particles on homogeneous and isotropic turbulence is investigated using particle-resolved direct numerical simulations at an unladen Taylor-scale Reynolds number of

. Four monodisperse suspensions of particles with identical diameter and volume fraction

10 Superscript negative 3 10 − 3 $10^{-3}$

are considered, while the particle-to-fluid density ratio varies between

100 100 $100$

and

1500 1500 $1500$

and the mass fraction between

0.1 0.1 $0.1$

and

0.6 0.6 $0.6$

. As particle inertia increases, the energy spectrum departs from the canonical Kolmogorov

kappa Superscript negative 5 divided by 3 κ − 5 / 3 $\kappa ^{-5/3}$

scaling and approaches a peculiar regime with

kappa Superscript negative 1 κ − 1 $\kappa ^{-1}$

, with

kappa κ $\kappa$

being the spatial wavenumber. In this limit, the nonlinear energy transfer is strongly suppressed and the kinetic-energy balance is dominated by the fluid–solid interaction and the viscous dissipation. Consistently, the second-order structure function shows logarithmic scaling at separations larger than the particle diameter, indicating velocity decorrelation. Increasing particle inertia promotes axial strain and vortex compression in the vicinity of the particles and enhances the particle–fluid relative velocity. Particle clustering is maximum when the Stokes number based on the Kolmogorov time scale is

upper O left parenthesis 1 right parenthesis O ( 1 ) $O(1)$

and weakens as the density ratio and the Stokes number increase, with the volume and the population of the clusters decreasing when inertia is enhanced. When clustering occurs, particles preferentially sample regions of high strain and low vorticity.