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Contributions of different scales of turbulent motions to the mean wall-shear stress in open channel flows at low-to-moderate Reynolds numbers

Published online by Cambridge University Press:  19 May 2021

Yanchong Duan Open the ORCID record for Yanchong Duan [Opens in a new window] ,
Qiang Zhong Open the ORCID record for Qiang Zhong [Opens in a new window] ,
Guiquan Wang Open the ORCID record for Guiquan Wang [Opens in a new window] ,
Peng Zhang  and
Danxun Li
Yanchong Duan
Affiliation:
State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing100084, PR China
Qiang Zhong*
Affiliation:
College of Water Resources and Civil Engineering, China Agricultural University, Beijing100083, PR China Beijing Engineering Research Center of Safety and Energy Saving Technology for Water Supply Network System, China Agricultural University, Beijing100083, PR China
Guiquan Wang
Affiliation:
Physics of Fluids Group and Twente Max Planck Center, Department of Science and Technology, Mesa+ Institute, and J.M. Burgers Center for Fluid Dynamics, University of Twente, P.O. Box 217, Enschede7500 AE, The Netherlands
Peng Zhang
Affiliation:
National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing400074, PR China
Danxun Li
Affiliation:
State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing100084, PR China
*
†Email address for correspondence: qzhong@cau.edu.cn
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Abstract

Smooth-walled open channel flow datasets, covering both the direct numerical simulation and experimental measurements with a friction Reynolds number ${\textit {Re}}_\tau$ at a low-to-moderate level of $550\sim 2400$, are adopted to investigate the contributions of different scale motions to the mean wall-shear stress in open channel flows (OCFs). The FIK identity decomposition method by Fukagata et al. (Phys. Fluids, vol. 14, 2002, L73) combined with a scale decomposition is chosen for this research. To see whether/how the contributions in OCFs differ with those in closed channel flows (CCFs), comparisons between the two flows are also made. The scale-decomposed ‘turbulent’ contribution results of present OCFs exhibit two dominant contribution modes (i.e. large-scale motions (LSMs) and very-large-scale motions (VLSMs)) at a streamwise wavelength $\lambda _x=1\sim 2h$ and $O(10h)$, where $h$ is the water depth. The large scales with $\lambda _x>3h$ and $\lambda _x>10h$ are demonstrated to contribute to over 40 % and 20 % of the mean wall-shear stress, respectively. Compared with CCFs, slightly higher and lower contributions in the $\lambda _x>O(10h)$ and $\lambda _x < O(10h)$ wavelength ranges are observed in OCFs, revealing the important free-surface effects in OCFs. Possible mechanisms are discussed to lend support for the observed differences between the two flows.

JFM classification

Turbulent Flows: Turbulent boundary layers Waves/Free-surface Flows: Channel flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 918 , 10 July 2021 , A40
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© The Author(s), 2021. Published by Cambridge University Press

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