One-Dimensional Velocity Distribution in Seepage Bed Open Channels Using Tsallis Entropy
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 9, Issue 4
Abstract
In the present study, a one-dimensional experimental velocity profile measured in seepage channels is evaluated by Tsallis entropy theory considering time-averaged velocity as a random variable. The velocity data was observed by conducting the experiments in the laboratory flume over the flat sand bed for no seepage and seepage discharge. The proposed velocity profile based on the Tsallis entropy model is tested with laboratory observations. Various efficiency criteria, root mean square error (RMSE), and Nash-Sutcliffe efficiency (NSE) coefficient, are used to verify the validity and accuracy of the proposed model. The Tsallis entropy-based 1D velocity distributions produced by various shape parameters agreed satisfactorily with experimental data and compared well. According to observations, the shape parameter leads to the best fit of the cumulative distribution function and velocity for the centre line of the channel. It is shown that the Tsallis entropy can be used to make accurate velocity predictions in active seepage channels.
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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.
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Information & Authors
Information
Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 9 • Issue 4 • December 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Nov 21, 2022
Accepted: Jun 20, 2023
Published online: Aug 9, 2023
Published in print: Dec 1, 2023
Discussion open until: Jan 9, 2024
ASCE Technical Topics:
- Channels (waterway)
- Distribution functions
- Engineering fundamentals
- Engineering mechanics
- Entropy methods
- Errors (statistics)
- Flow (fluid dynamics)
- Fluid dynamics
- Fluid mechanics
- Fluid velocity
- Geomechanics
- Geotechnical engineering
- Hydraulic engineering
- Hydraulic structures
- Hydrologic engineering
- Mathematical functions
- Mathematics
- Seepage
- Soil mechanics
- Soil properties
- Statistics
- Thermodynamics
- Velocity distribution
- Velocity profile
- Water and water resources
- Waterways
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