Determination of discharge capacity of rectangular side weirs using Schmidt approach

Emiroğlu, M. Emin; Ikinciogullari, Erdinc

doi:10.1016/j.flowmeasinst.2016.06.021

Cited by 13 publications

(11 citation statements)

References 18 publications

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“…However, when considering the effect of friction and channel slope, it was possible to find CmD and CmS values much smaller than 1 (up to ~0.85), which can be explained by observing that, for subcritical flows and for a given value of the discharge, a reduction in the energy level is associated with a shallower water depth. This is also the reason that justifies the change in the concavity of some profiles for small L/B values, given that a As expected, the constant energy simulations provided Cm M values equal to 1 (except for an essentially numerical error smaller than 0.1%), given that the solved system of Equations (18) and (19) is exactly the one at the base of De Marchi's model. Conversely, for the C 1 formula, although usually applied in the literature for assessing the discharge coefficient of horizontal weirs under the misleading definition of De Marchi s coefficient [13,17], high values of the corresponding model coefficient Cm 1 were observed.…”

Section: Effects Of the Use Of Oversimplified Formulas For The Experisupporting

confidence: 64%

“…• Thirteen values of the side weir crest angle ϑ, including the horizontal case (ϑ = 0 • ) and upward Furthermore, in a second step, possible changes in the energy head E were also taken into account, by adding to the previous system (18,19) the following equation:…”

Section: Numerical Solution Of the 1d Equation For Side Weirsmentioning

confidence: 99%

“…Equations (15) and (16) are other expressions used in some studies under the misleading definition of "De Marchi's formula" (e.g., [13,[15][16][17][18]), for calculating the diverted flow and, consequently, the discharge coefficient in side weirs:…”

Section: Introduction: Theoretical Background and Aims Of The Researchmentioning

confidence: 99%

“…Water 2019, 11, 2585 4 of 14 In this last approach, a key role is played by the method chosen to evaluate the water depth, y, indicated in Equation (15). Still, in many studies this is not often explicitly stated: the most common solution, where indicated, is to consider it equal to the water depth in the upstream section of the weir, y 1 [13,17,18].…”

Section: Introduction: Theoretical Background and Aims Of The Researchmentioning

confidence: 99%

“…This preliminary excursus on the theoretical background has been motivated by a thorough review of the literature on side weirs. Indeed, the analysis highlighted that, while in the past century attention was precisely addressed to the definition of the discharge coefficient under De Marchi's theory, C M (e.g., [2,3,5,6]), recent years have experienced an increase in the number of works that have aimed to evaluate the discharge coefficient without clearly defining measured input variables, not reporting used equations for the determination of the coefficient or even incorrectly applying the different approaches (e.g., [13,[15][16][17][18]), as also noted by Vatankhah et al [19]. This confusion may generate misinterpretation of the results or incorrect use of existing experimental data in the literature, given that discharge coefficients evaluated using different discharge equations, with a different physical basis, are not comparable [19].…”

Section: Introduction: Theoretical Background and Aims Of The Researchmentioning

confidence: 99%

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Are We Correctly Using Discharge Coefficients for Side Weirs? Insights from a Numerical Investigation

Bacco

Scorzini

2019

Water

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A key issue in the design of side weirs is the experimental assessment of the discharge coefficient. This can be determined by laboratory measurements of discharge and water depths at the up-and downstream ends of the weir by using De Marchi's approach, consisting in the solution of the 1D dynamic equation of spatially varied steady flow with non-uniform discharge, under the assumption of energy conservation. This study originates from a recent alarming proliferation of works that evaluate the discharge coefficient for side weirs without clearly explaining the experimental methodology and/or even incorrectly applying modelling approaches, thus generating possible misinterpretations of the results. In this context, the present paper aims to highlight the effects of using oversimplified and/or heterogenous models (relying on different assumptions) for the experimental determination of the discharge coefficient for side weirs. Furthermore, a sensitivity analysis is performed to detect the most influencing hydraulic and geometric parameters on each considered model. The overall results clearly indicate the wrongness of using or building not homogeneous discharge coefficient datasets to obtain and/or compare predictive experimental discharge coefficient formulas. We finally show how neural networks could provide a possible solution to these heterogeneity issues.

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Section: Effects Of the Use Of Oversimplified Formulas For The Experisupporting

confidence: 64%

Section: Numerical Solution Of the 1d Equation For Side Weirsmentioning

confidence: 99%

Section: Introduction: Theoretical Background and Aims Of The Researchmentioning

confidence: 99%

Section: Introduction: Theoretical Background and Aims Of The Researchmentioning

confidence: 99%

Section: Introduction: Theoretical Background and Aims Of The Researchmentioning

confidence: 99%

See 3 more Smart Citations

Are We Correctly Using Discharge Coefficients for Side Weirs? Insights from a Numerical Investigation

Bacco

Scorzini

2019

Water

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Hydraulic Performance of Sharp-Crested Side Slit Weirs

Kartal

Emiroğlu

2023

Water Resour Manage

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Evaluating performance of various methods in predicting triangular sharp-crested side weir discharge

Balahang

Ghodsian

2023

Appl Water Sci

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This paper investigated the efficiency of the traditional weir equation (TWE), Domínguez, adjusted Domínguez, and Schmidt approaches, as an alternative to the De Marchi procedure, for computing discharge of a sharp-crested triangular side weir. Comprehensive experimental data were used for the analysis, including 342 data from the present study and 140 data from other sources. The effects of approach Froude number Fr1, the ratio of weir height to upstream flow depth p/y1, and weir apex angle θ on the discharge coefficients obtained from different methods were studied. Sensitivity analysis using the partial swarm optimization-support vector regression method indicated that Fr1, p/y1, and θ affect the discharge coefficients. It was found that Fr1 with sensitivity indices equal to 1.89, 3.74, and 4.04 has the most substantial effect on the De Marchi coefficient, TWE coefficient, and adjusted Domínguez coefficient; meanwhile, p/y1 has the most significant impact on Domínguez coefficient and Schmidt coefficient with sensitivity index equal to 1.57. In addition, it was found that θ had the lowest sensitivity indices in estimating discharge coefficients. New equations for forecasting sharp-crested triangular side weir discharge coefficient were presented based on dimensional analysis. The new De Marchi coefficient executed better for calculating triangular side weir discharge than earlier De Marchi coefficients. Moreover, TWE, Domínguez, adjusted Domínguez, and Schmidt methods performed better than the De Marchi procedure (with MSE = 4.581) in calculating sharp-crested triangular side weir discharge. However, considering the simplicity of the TWE approach compared to other methods, this approach with R2 = 0.975, NSE = 0.975, MSE = 3.610, MRE = 0.097, and CP10% = 71.36 was introduced as the superior procedure.

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Determination of discharge capacity of rectangular side weirs using Schmidt approach

Cited by 13 publications

References 18 publications

Are We Correctly Using Discharge Coefficients for Side Weirs? Insights from a Numerical Investigation

Are We Correctly Using Discharge Coefficients for Side Weirs? Insights from a Numerical Investigation

Hydraulic Performance of Sharp-Crested Side Slit Weirs

Evaluating performance of various methods in predicting triangular sharp-crested side weir discharge

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