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

Fuente: arXiv
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Main Authors: Bhattacharjee, Soumak, Tom, Josin, Carbone, Maurizio, Bragg, Andrew D.
Format: Preprint
Published: 2023
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author Bhattacharjee, Soumak
Tom, Josin
Carbone, Maurizio
Bragg, Andrew D.
author_facet Bhattacharjee, Soumak
Tom, Josin
Carbone, Maurizio
Bragg, Andrew D.
contents 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 $Φ_m$. 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 $Φ_m$ be for the effects of 2WC on particle settling to be negligible? 2) does the preferential sweeping mechanism remain relevant in 2WC flows as $Φ_m$ 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 $Φ_m=7.5\times 10^{-3}$, 2WC can noticeably increase the settling for some choices of the Stokes and Froude numbers. We also demonstrate that even when $Φ_m$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2309_07762
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Investigating the parametric dependence of the impact of two-way coupling on inertial particle settling in turbulence
Bhattacharjee, Soumak
Tom, Josin
Carbone, Maurizio
Bragg, Andrew D.
Fluid Dynamics
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 $Φ_m$. 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 $Φ_m$ be for the effects of 2WC on particle settling to be negligible? 2) does the preferential sweeping mechanism remain relevant in 2WC flows as $Φ_m$ 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 $Φ_m=7.5\times 10^{-3}$, 2WC can noticeably increase the settling for some choices of the Stokes and Froude numbers. We also demonstrate that even when $Φ_m$ 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.
title Investigating the parametric dependence of the impact of two-way coupling on inertial particle settling in turbulence
topic Fluid Dynamics
url https://arxiv.org/abs/2309.07762