Uncertainty analysis of discharge coefficient of circular crested weirs

The circular crested weir (CCW) has been introduced as weirs having a high discharge coefficient (Cd). The ratio of flow head to the radius of the crest ( H / R ) is the most important parameter affecting the Cd, that the Cd ≈ a H / R b can mathematical model their relation. In this study, the param...

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Bibliographic Details
Published in:Applied water science 2021-02, Vol.11 (2), p.1-6, Article 26
Main Authors: Parsaie, Abbas, Haghiabi, Amir Hamzeh
Format: Article
Language:English
Subjects:
Aquatic Pollution
Bootstrap method
Cadmium
Comparative Law
Confidence intervals
Discharge coefficient
Earth and Environmental Science
Earth Sciences
Excel’s solver
Flow measurement
Hydrogeology
Industrial and Production Engineering
International & Foreign Law
Mathematical models
Monte Carlo simulation
Nanotechnology
Original Article
Parameter uncertainty
Private International Law
Statistical analysis
Statistical methods
Uncertainty
Uncertainty analysis
Waste Water Technology
Water Industry/Water Technologies
Water Management
Water Pollution Control
Weirs
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Summary:The circular crested weir (CCW) has been introduced as weirs having a high discharge coefficient (Cd). The ratio of flow head to the radius of the crest ( H / R ) is the most important parameter affecting the Cd, that the Cd ≈ a H / R b can mathematical model their relation. In this study, the parameters of the Cd formula (i.e., a and b ) were uncertainty analyzed using Monte Carlo (MC) and Bootstrap methods (BM). To perform these methods, some of the built-in functions of Excel software were utilized. The results declared that the average values of a and b were 1.187 and 0.140. The outcome of the MC method showed that the range of a and b at 95% confidence interval changed between 1.179 to 1.194 and 0.134 to 0.146, respectively, while at the same confidence interval the BM ranged from 1.187 to 1.200 and 0.133 to 0.147.
ISSN:2190-5487
2190-5495
DOI:10.1007/s13201-020-01329-6