Estimate of Zero-Plane Displacement for Open-Channel Flows with Submerged Rigid Vegetation
Publication: Journal of Engineering Mechanics
Volume 150, Issue 10
Abstract
Zero-plane is an important reference level included in the logarithmic velocity profile. The prediction of the zero-plane displacement remains challenging, especially in open-channel flows with submerged vegetation. In this study, we first review the existing formulas for estimating the zero-plane displacement. Then, we conducted a series of laboratory experiments of open-channel flows with submerged rigid vegetation, by varying flow rate, water depth, vegetation density, and stem diameter. By utilizing particle image velocimetry (PIV) technique, the spatio-temporal averaged (double-averaged) flow velocity and Reynolds shear stress profiles were obtained. The data analysis shows that the zero-plane displacement is almost proportional to the surface layer depth for the shallow flow cases. As the flow depth increases, the zero-plane displacement tends to be constant and increases with decreasing vegetation density. This result substantiates the hypothesis that the zero-plane displacement is related to large-scale eddies. Lastly, a heuristic model is developed to explain possible variations of the large-scale eddies, which yields a formula for predicting the zero-plane displacement for flows subjected to submerged rigid vegetation.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (Grant No. 52339005).
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Published In
Journal of Engineering Mechanics
Volume 150 • Issue 10 • October 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Nov 26, 2023
Accepted: Jun 7, 2024
Published online: Aug 7, 2024
Published in print: Oct 1, 2024
Discussion open until: Jan 7, 2025
ASCE Technical Topics:
- Bodies of water (by type)
- Channel flow
- Channels (waterway)
- Coasts, oceans, ports, and waterways engineering
- Continuum mechanics
- Density currents
- Displacement (mechanics)
- Ecosystems
- Engineering mechanics
- Environmental engineering
- Flow (fluid dynamics)
- Fluid dynamics
- Fluid mechanics
- Fluid velocity
- Hydraulic engineering
- Hydraulic structures
- Hydrologic engineering
- Open channel flow
- Open channels
- River engineering
- Solid mechanics
- Structural engineering
- Structural mechanics
- Structures (by type)
- Submerged flow
- Vegetation
- Velocity profile
- Water and water resources
- Water management
- Waterways
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