Estimation of rectangular and triangular side weir discharge

ABSTRACT

In this paper, a straightforward approach was applied for estimating the discharge of sharp-crested rectangular and triangular side weirs. The extensive experimental data (356 for rectangular side weir and 362 for triangular side weir) and the available data from other sources (171 for rectangular side weir and 145 for triangular side weir) were used for the analysis. The effects of approach Froude number Fr₁, ratio of weir height to upstream flow depth p/y₁, ratio of effective weir length to main channel width L/B, and ratio of effective weir length to upstream flow depth L/y₁ were studied. It was found that the parameters p/y₁, Fr₁, and L/B have a reciprocal effect on each other. Sensitivity analysis performed by using ANFIS model, showed that the relative discharge of the rectangular side weir is influenced by Fr₁, p/y₁, L/B, and L/y₁. Moreover, Fr₁ for triangular side weir and p/y₁ for rectangular side weir are the most effective parameters influencing the relative discharge. Meanwhile, L/y₁ has a secondary effect on the relative discharge of side weir. Based on dimensional analysis, new explicit equations for estimating the relative discharge for rectangular and triangular side weirs were presented. The results were also compared with previous studies. The capability of ANN, ANFIS, SVR, and GBRT methods was also evaluated in estimating the side weir relative discharge. The ANFIS model for rectangular side weir with MSE = 0.0011 and CP10% = 85.09, and SVR model for triangular side weir with MSE = 0.0011 and CP10% = 87.25 were found to be the superior models in estimating the relative discharge.

KEYWORDS:

• Rectangular side weir
• triangular side weir
• relative discharge
• ANN
• ANFIS
• SVR

Disclosure statement

No potential conflict of interest was reported by the author(s).

Nomenclature

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