Multi-scale interactions in turbulent mixed convection drive efficient transport of Lagrangian particles

Fuente: arXiv
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Auteurs principaux: Grace, Andrew P., Richter, David H.
Format: Preprint
Publié: 2024
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author Grace, Andrew P.
Richter, David H.
author_facet Grace, Andrew P.
Richter, David H.
contents When turbulent convection interacts with a turbulent shear flow, the cores of convective cells become aligned with the mean current, and these cells (which span the height of the domain) may interact with motions closer to the solid boundary. In this work, we use coupled Eulerian-Lagrangian direct numerical simulations of a turbulent channel flow to demonstrate that under conditions of turbulent mixed convection, interactions between motions associated with ejections and low-speed streaks near the solid boundary, and coherent superstructures in the interior of the flow interact and lead to significant vertical transport of strongly settling Lagrangian particles. We show that the primary suspension mechanism is associated with strong ejection events (canonical low-speed streaks and hairpin vortices characterized by $u'<0$ and $w'>0$), whereas secondary suspension is strongly associated with large scale plume structures aligned with the mean shear (characterized by $w'>0$ and $θ'>0$). This coupling, which is absent in the limiting cases (pure channel flow or free convection) is shown to lead to a sudden increase in the interior concentration profiles as $\mathrm{Ri}_τ$ increases, resulting in concentrations that are larger by roughly an order of magnitude at the channel midplane.
format Preprint
id arxiv_https___arxiv_org_abs_2408_11693
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Multi-scale interactions in turbulent mixed convection drive efficient transport of Lagrangian particles
Grace, Andrew P.
Richter, David H.
Fluid Dynamics
Mathematical Physics
When turbulent convection interacts with a turbulent shear flow, the cores of convective cells become aligned with the mean current, and these cells (which span the height of the domain) may interact with motions closer to the solid boundary. In this work, we use coupled Eulerian-Lagrangian direct numerical simulations of a turbulent channel flow to demonstrate that under conditions of turbulent mixed convection, interactions between motions associated with ejections and low-speed streaks near the solid boundary, and coherent superstructures in the interior of the flow interact and lead to significant vertical transport of strongly settling Lagrangian particles. We show that the primary suspension mechanism is associated with strong ejection events (canonical low-speed streaks and hairpin vortices characterized by $u'<0$ and $w'>0$), whereas secondary suspension is strongly associated with large scale plume structures aligned with the mean shear (characterized by $w'>0$ and $θ'>0$). This coupling, which is absent in the limiting cases (pure channel flow or free convection) is shown to lead to a sudden increase in the interior concentration profiles as $\mathrm{Ri}_τ$ increases, resulting in concentrations that are larger by roughly an order of magnitude at the channel midplane.
title Multi-scale interactions in turbulent mixed convection drive efficient transport of Lagrangian particles
topic Fluid Dynamics
Mathematical Physics
url https://arxiv.org/abs/2408.11693