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Interaction between thermal stratification and turbulence in channel flow

Lookup NU author(s): Dr Francesco Zonta

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

Transport phenomena in high Reynolds number wall-bounded stratified flows are dominated by the interplay between the turbulence structures generated at the wall and the buoyancy-induced large-scale waves populating the channel core. In this study, we want to investigate the flow physics of wall-bounded stratified turbulence at relatively high shear Reynolds number and for mild to moderate stratification level - quantified here by the shear Richardson number varying in the range. By increasing stratification, active turbulence is sustained only in the near-wall region, whereas intermittent turbulence, modulated by the presence of non-turbulent wavy structures (internal gravity waves), is observed at the channel core. In such conditions, the wall-normal transport of momentum and heat is considerably reduced compared with the case of non-stratified turbulence. A careful characterization of the flow-field statistics shows that, despite temperature and wall-normal velocity fluctuations being very large at the channel centre, the mean value of their product - the buoyancy flux - vanishes for. We show that this behaviour is due to the presence of a phase delay between the temperature and the wall-normal velocity signals: when wall-normal velocity fluctuations are large (in magnitude), temperature fluctuations are almost zero, and vice versa. This constitutes a blockage effect to the wall-normal exchange of energy. In addition, we show that the friction factor scales as, and we propose a new scaling for the Nusselt number,. These scaling laws, which seem to be robust over the explored range of parameters, complement and extend previous experimental and numerical data, and are expected to help the development of improved models and parametrizations of stratified flows at large.


Publication metadata

Author(s): Zonta F, Hadi Sichani P, Soldati A

Publication type: Article

Publication status: Published

Journal: Journal of Fluid Mechanics

Year: 2022

Volume: 945

Print publication date: 25/08/2022

Online publication date: 12/07/2022

Acceptance date: 06/06/2022

Date deposited: 07/02/2025

ISSN (print): 0022-1120

ISSN (electronic): 1469-7645

Publisher: Cambridge University Press

URL: https://doi.org/10.1017/jfm.2022.514

DOI: 10.1017/jfm.2022.514


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Funding

Funder referenceFunder name
CEA-TGCC (Bruyéres-le-Châtel, France)
CINECA (Bologna, Italy)
ERASMUS + project between TU Wien and University of Udine
Vienna Scientific Cluster (Vienna, Austria)

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