The Log-Law of the Wall in the Overlap from a Functional Equation
Publication: Journal of Engineering Mechanics
Volume 149, Issue 2
Abstract
The log-law of the wall in the overlap for wall-bounded turbulent flows is rederived from a pure dimensional analysis and functional equation based on three experimental facts: (1) in the inner flow region, the mean velocity distribution is dominated by the viscous length scale; (2) in the outer flow region, the mean velocity distribution is dominated by the largest eddy size or the boundary layer thickness; and (3) there is an overlap between the inner and outer regions. These facts lead to a functional equation that yields a universal log-law in the overlap. Hence, the log-law is independent of any turbulence model, and it is an axiom accepted widely in fluid mechanics.
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Data Availability Statement
No data, models, or code were generated or used during this study.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 149 • Issue 2 • February 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Jul 21, 2022
Accepted: Sep 19, 2022
Published online: Nov 21, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 21, 2023
ASCE Technical Topics:
- Boundary layers
- Coastal engineering
- Coastal processes
- Coasts, oceans, ports, and waterways engineering
- Eddy (fluid dynamics)
- Flow (fluid dynamics)
- Flow distribution
- Fluid dynamics
- Fluid mechanics
- Fluid velocity
- Hydraulic engineering
- Hydraulic structures
- Hydrologic engineering
- Levees and dikes
- Material mechanics
- Material properties
- Materials engineering
- Ocean currents
- Structural engineering
- Structural members
- Structural systems
- Thickness
- Turbulent flow
- Velocity distribution
- Walls
- Water and water resources
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