Uncertainty analysis of discharge coefficient of circular crested weirs

Abstract

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 $${\text{Cd}} \approx a\left( {H/R} \right)^{b}$$ 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.

Development and uncertainty analysis of infiltration models using PSO and Monte Carlo method

“…In this study, 10,000 new datasets were generated based on Equation 3. Finally, the statistical properties of the obtained data such as average values, variance and confidence intervals in the range of 95% for each coefficient are calculated (Parsaie & Haghiabi, 2021).…”

Uncertainty analysis of discharge coefficient predicted for rectangular side weir using machine learning methods

“…Borghei et al (2013), Johnson and Ayyub (1996), and Říha and Zachoval (2014) examined the uncertainty analysis of the Cd. The Cd uncertainty could be estimated by Monte Carlo (MC), bootstrap method (BM), and analytical method (Mohammed and Golijanek-Jędrzejczyk, 2020;Parsaie and Haghiabi, 2021). Gholami et al (2018) performed uncertainty analysis to quantitatively evaluate the Cd models.…”

“…However, these models are still unable to accurately predict uncertainties. Although the Cd of side weirs has extensively been studied in theory and in the laboratory, PI is usually ignored by most studies and only limited research has been conducted on uncertainty (Parsaie and Haghiabi, 2021). To the best of the authors' knowledge, the GPR, LSSVR, and QRF have not been reported in quantifying side weir uncertainty, and this is the first effort to use them to determine the uncertainty of innovation in the field of hydraulics structures.…”