Bulk Flow Parameterization of Temporally Evolving Turbulent Stratified Open Channel Flow Subject to Radiative Heating
Publication: Journal of Hydraulic Engineering
Volume 151, Issue 1
Abstract
The transient response of an initially neutral turbulent open channel subject to sudden stable stratification through radiative surface heating is investigated through direct numerical simulations. We find the convergence of the vertical buoyancy and momentum fluxes toward their respective analytical equilibrium values to be a global monotonic process such that locally, buoyancy and momentum flux equilibrium is obtained simultaneously at all locations within the channel. We present scaling arguments to show that the evolution of the flux convergence ratios toward equilibrium scale directly with and reach equilibrium at , consistent with results from the literature, where is the friction Richardson number, is the friction time scale, and is the measured time from the initial isothermal state. We define the upper laminar layer thickness and present scaling arguments to show that the laminar layer thickness is well-parameterized by a hybrid bulk parameter such that across the full external parameter set. Here is the channel height, is the equilibrium convergence ratio, is the molecular Prandtl number, and is the friction Reynolds number.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors would like to gratefully acknowledge the National Computational Infrastructure (NCI) and the Sydney Informatics Hub and high-performance computing cluster, Artemis, at the University of Sydney, for providing the high-performance computing resources and services that have been crucial to this paper.
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© 2024 American Society of Civil Engineers.
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Received: Jan 18, 2024
Accepted: Aug 6, 2024
Published online: Oct 7, 2024
Published in print: Jan 1, 2025
Discussion open until: Mar 7, 2025
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