Head–discharge relationship of Venturi flumes: from long to short throats

Dufresne, Matthieu; Vázquez, J.

doi:10.1080/00221686.2013.781550

Cited by 11 publications

(10 citation statements)

References 6 publications

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“…It can be applied to analyse the discharge characteristics of intermediate and short throat-length flumes with broken plane transition. For an intermediate throat-length flume, however, the Hager [40] approach does not give satisfactory results [4].…”

Section: Methodsmentioning

confidence: 99%

Section: Validation Of the Proposed Methodsmentioning

confidence: 99%

“…The predictions of the present method are further compared in Figure 11b with the results of Dufresne and Vazquez's [4] empirical equations, which were calibrated for the contraction and expansion ratios of 0.5 and 1:6, respectively and are valid only for a relative sidewall curvature, κ s B c (κ s = curvature of the sidewall), value between 0.25 and 1.0. The prediction of the current method compares favourably to the experimental data and the results of these empirical equations.…”

Section: Validation Of the Proposed Methodsmentioning

confidence: 99%

“…In a long-throated flume, the prismatic throat section has a sufficient length in the streamwise direction to achieve a nearly parallel flow situation and a hydrostatic pressure distribution (see, e.g., [2]). Contrary to this, the flow pattern in the control section of a short-throated flume is characterised by a strong free surface curvature and a departure from the hydrostatic distribution of pressure [3][4][5]. In a bottom hump type of such flume, the combined effects of the sidewalls and streamline vertical curvatures predominantly affect the behaviour of the curvilinear flows, especially in the vicinity of the critical section where the flows exhibit three-dimensional (3D) characteristics with cross-waves.…”

Section: Introductionmentioning

confidence: 99%

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A Numerical Study on Curvilinear Free Surface Flows in Venturi Flumes

Zerihun¹

2016

Fluids

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Venturi flumes are one of the most important flow-measuring structures commonly investigated by physical model tests in the past. The solutions to the Venturi flume flow problems were generally found on the basis of empirical equations arising from such tests. Nonetheless, the overall accuracy and range of applicability of these equations rely on the scope of the tests. Additionally, the hydraulic characteristics of free flows in short-throated flumes cannot be modelled by the conventional hydrostatic pressure approaches. In this study, a one-dimensional model, which incorporates a higher-order dynamic pressure correction for the effects of the sidewalls and streamline vertical curvatures, is applied to simulate such flows and elucidate relevant flow features. The model equations are discretised and solved using the finite difference scheme. The computed results for free surface profiles, pressure distributions at different sections and discharge characteristics are compared to measured data. The computational results exhibit good agreement with measured data. Overall, it is shown that the developed model is capable of accurately simulating the curvilinear flows in short-throated flumes with rounded transition and bottom humps. The results also highlight the detailed dependence of the discharge characteristics of the critical-flow flumes under free flow conditions on the curvature of the streamlines.

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Section: Methodsmentioning

confidence: 99%

Section: Validation Of the Proposed Methodsmentioning

confidence: 99%

Section: Validation Of the Proposed Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Numerical Study on Curvilinear Free Surface Flows in Venturi Flumes

Zerihun¹

2016

Fluids

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“…The study could have been conducted using an experimental approach (see, for example, Machiels, Erpicum, Archambeau, Dewals, & Pirotton, 2013;Machiels, Pirotton, Archambeau, Dewals, & Erpicum, 2014) but because of the large number of geometric configurations, computational fluid dynamics (CFD) is used. CFD has been successfully applied in a large number of similar studies to compute water-air flows for several types of hydraulic structure, including side weirs (Lipeme-Kouyi, 2004;LipemeKouyi, Vazquez, Gallin, Rollet, & Sadowski, 2005), river flows (Chau & Jiang, 2001, 2004, broad-crested weirs (Hargreaves, Morvan, & Wright, 2007), combined sewer overflows (Chen, Han, Zhou, & Wang, 2013;Fach, Sitzenfrei, & Rauch, 2008), dam-break flows (Ozmen-Cagatay & Kocaman, 2011;Pu, Shao, Huang, & Hussain, 2013), Venturi flumes (Dufresne & Vazquez, 2013), and bottom spillways (Liu & Yang, 2014).…”

Section: Introductionmentioning

confidence: 99%

Stage–discharge relationship for a pipe overflow structure in both free and submerged flow

Isenmann¹,

Bellahcen²,

Vázquez³

et al. 2016

Engineering Applications of Computational Fluid Mechanics

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Many facilities for urban drainage systems are equipped with a pipe overflow structure that can often be treated as a circular broad-crested weir. Thus it is possible to evaluate the overflow discharge through this device by measuring the water levels in the upstream tank and at the outlet of the pipe. In the present study, computational fluid dynamics (CFD) is used to determine a relationship between the discharge and the water levels upstream and downstream of the orifice for a range of diameters between 200 and 600 mm and a relative head up to 2. Over 50 numerical simulations are performed to take into account all the operating conditions of the system: free flow, submerged flow and pressurized flow. A regression is applied to the resulting data in order to obtain an orifice equation valid in both free-flow and submerged-flow regimes. Specific formulas, derived from Bernoulli's theorem, are also given for pressurized flows. The proposed methodology is applied to two examples. ARTICLE HISTORY

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