On the influence of forced homogeneous-isotropic turbulence on the settling and clustering of finite-size particles

TL;DR

This study uses direct numerical simulations to explore how forced turbulence and gravity influence the clustering and settling behavior of finite-size heavy particles, revealing complex interactions that affect particle distribution and velocity.

Contribution

It provides new insights into the combined effects of turbulence and gravity on particle clustering and settling, highlighting non-monotonic clustering behavior and resonance mechanisms.

Findings

Turbulence decreases particle clustering compared to gravity-only cases.

Clustering intensity varies non-monotonically with turbulence levels.

Particle settling velocities show minimal deviation from isolated particle values.

Abstract

We investigate the motion of heavy particles with a diameter of several multiples of the Kolmogorov length scale in the presence of forced turbulence and gravity, resorting to interface-resolved DNS based on an IBM. The values of the particles' relative density (1.5) and of the Galileo number (180) are such that strong wake-induced particle clustering would occur in the absence of turbulence. The forced turbulence in the two present cases (with Taylor-scale Reynolds number 95 and 140) would lead to mild levels of clustering in the absence of gravity. Here we detect a tendency to cluster with an intensity which is intermediate between these two limiting cases, meaning that forced background turbulence decreases the level of clustering otherwise observed under ambient settling. However, the clustering strength does not monotonously decay with the relative turbulence intensity. Various mechanisms by which coherent structures can affect particle motion are discussed. It is argued that the reduced interaction time due to particle settling through the surrounding eddy (crossing trajectories) has the effect of shifting upwards the range of eddies with a time scale matching the characteristic time scale of the particle. In the present cases this shift might bring the particles into resonance with the energetic eddies of the turbulent spectrum. Concerning the average particle settling velocity we find very small deviations from the value obtained for an isolated particle in ambient fluid when defining the relative velocity as an apparent slip velocity (i.e. as the difference between the averages computed separately for the velocities of each phase). This is consistent with simple estimates of the non-linear drag effect. However, the relative velocity based upon the fluid velocity seen by each particle has on average a smaller magnitude (by 5-7%) than the ambient single-particle value.