Investigating the parametric dependence of the impact of two-way coupling on inertial particle settling in turbulence

TL;DR

This study explores how two-way coupling influences inertial particle settling in turbulence across a broad parameter space, revealing that even at higher mass loadings, preferential sweeping remains the key mechanism behind enhanced settling.

Contribution

It extends previous work by analyzing a wider range of parameters, showing that two-way coupling can significantly affect settling and that preferential sweeping persists as the dominant mechanism.

Findings

Two-way coupling can increase particle settling even at higher mass loadings.

Preferential sweeping remains the main mechanism in two-way coupled flows.

Particles drag fluid with them, affecting turbulence and settling behavior.

Abstract

Tom et al.\ (J.\ Fluid Mech.\ 947, A7, 2022) investigated the impact of two-way coupling (2WC) on particle settling in turbulence. For the limited parameter choices explored, it was found that 2WC substantially enhances particle settling compared to the one-way coupled (1WC) case, even at low mass loading $\Phi_m$. Moreover, contrary to previous claims, it was demonstrated that preferential sweeping remains the mechanism responsible for the particles settling faster than the Stokes settling velocity in 2WC flows. However, crucial questions remain: 1) how small must $\Phi_m$ be for the effects of 2WC on particle settling to be negligible? 2) does the preferential sweeping mechanism remain relevant in 2WC flows as $\Phi_m$ is increased? To answer these, we explore a much broader portion of the parameter space, and our simulations cover cases where the impact of 2WC on the global fluid statistics ranges from negligible to strong. We find that even for $\Phi_m=7.5\times 10^{-3}$, 2WC can noticeably increase the settling for some choices of the Stokes and Froude numbers. We also demonstrate that even when $\Phi_m$ is large enough for the global fluid statistics to be strongly affected by the particles, preferential sweeping is still the mechanism responsible for the enhanced particle settling. The difference between the 1WC and 2WC cases is that, in the latter the particles are not merely swept around the downward-moving side of vortices, but they also drag the fluid with them as they move down.