Development of Parabolic Weirs for Simplified Discharge Measurement

Igathinathane, C.; Srikanth, I.; Prakash, K. Arul; Ramesh, Bhaskar; Womac, A. R.

doi:10.1016/j.biosystemseng.2006.09.006

Cited by 12 publications

(4 citation statements)

References 5 publications

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“…The comparison between Eq. ( 6) with m = 1.2658 and the data pairs of Igathinathane et al (2007) showed a good agreement of the theoretical stage-discharge equations and the available measurements. The analysis also demonstrated that a depends on the ratio H/p according to the following equation (Ferro, 2012):…”

Section: Parabolic Weirssupporting

confidence: 72%

Dimensional analysis and stage-discharge relationship for weirs: a review

Bijankhan

Ferro²

2017

J Agricult Engineer

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Deducing the weir flow stage-discharge relationship is a classical hydraulic problem. In this regard Buckingham’s theorem of dimensional analysis can be used to find simple and accurate formulas to obtain the rating curves of different weir types. At first, in this review paper the rectangular weir that is a very common hydraulic structure is studied. It is indicated that the crest shape, approach channel width, obliquity (angle between the weir crest and the direction normal to the flow motion) and vertical inclination (pivot weir) are the key-parameters affecting the flow over the rectangular weirs. The flow over the triangular, labyrinth, parabolic, circular, elliptical, and W-weirs are also studied using dimensional analysis and incomplete self-similarity concept. For all mentioned weirs the stage-discharge relationships are presented and the application limits are discussed. The results of this paper can be used and implemented by the irrigation and drainage network designers to simplify the procedure of weir design.

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Section: Parabolic Weirssupporting

confidence: 72%

Dimensional analysis and stage-discharge relationship for weirs: a review

Bijankhan

Ferro²

2017

J Agricult Engineer

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“…For n = 0, 1/2 and 1, Equation (10) reduces respectively to the standard stage-discharge relationship for rectangular, parabolic and triangular weirs as Igathinathane et al (2007) also obtained a similar stagedischarge relationship as Equation (12) for parabolic weirs. Mehrzad et al (2014) also proposed the constant discharge coefficient C d = 0.494 for the triangular weir Equation (13).…”

Section: Weir Theory (Model I)mentioning

confidence: 55%

“…For n = 0, 1/2 and 1, Equation reduces respectively to the standard stage–discharge relationship for rectangular, parabolic and triangular weirs as

Q = C_{d} \frac{2}{3} T \sqrt{2 {gh}^{3}}

Q = C_{d} \frac{π}{8} \frac{T}{\sqrt{H}} \sqrt{2 {gh}^{4}}

Q = C_{d} \frac{8}{15} tan \frac{θ}{2} \sqrt{2 {gh}^{5}}

Igathinathane et al . () also obtained a similar stage–discharge relationship as Equation for parabolic weirs. Mehrzad et al .…”

Section: Deducing Stage–discharge Relationship Of Power‐law Weirmentioning

confidence: 57%

General Stage–discharge Relationship for Sharp‐crested Power‐law Weirs: Analytical and Experimental Study

Vatankhah

Khamisabadi

2019

Irrigation and Drainage

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The efficient use of water for irrigation and agriculture projects depends mainly on measurement of water. Weirs are widely used in irrigation networks to measure flow discharge. Flow estimation through weirs of different shapes is very important in irrigation engineering. Weirs are characterized by a relation between the water head and discharge, which mainly depends on the shape and dimensions of the weir. A power‐law weir is very versatile and allows modelling of weirs with different shapes. The generic results of the power‐law weir can also be applied to its special forms such as triangular, semi‐cubic, parabolic, cubic and rectangular weirs. Up to now, the hydraulic behaviour of a general power‐law weir has not been studied. In this study, sharp‐crested power‐law weirs were studied experimentally and theoretically. For this, weir (Model I) and critical flow (Model II) theories along with Buckingham's theorem of dimensional analysis were used to deduce the stage–discharge relationship of power‐law weirs. A series of laboratory experiments (502 runs) were performed to calibrate the deduced theoretical stage–discharge relationships under free‐flow conditions. The proposed general stage–discharge relationships have an average error less than 1.7%; thus, actual discharge through the channel can be simply and reliably estimated. © 2019 John Wiley & Sons, Ltd.

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“…Field discharge measurements are also useful to verify if an irrigation system operates correctly. Weirs of different shapes are employed to measure discharge conveyed or to regulate the upstream water levels in irrigation channels [1][2][3] and have been extensively investigated in laboratory applications [2,[4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

New Stage–Discharge Relationship for Triangular Broad-Crested Weirs

Nicosia

Carollo

Stefano

et al. 2022

Water

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Simple hydraulic structures, such as weirs, allow measuring flow discharge by using the upstream flow depth and a stage–discharge relationship. In this relationship, a discharge coefficient is introduced to correct all the effects neglected in the derivation (viscosity, surface tension, velocity head in the approach channel, flow turbulence, non-uniform velocity profile, and streamline curvature due to weir contraction). In this paper, the dimensional analysis and the incomplete self-similarity theory are used to investigate the outflow process of triangular broad-crested weirs, characterized by different values of the ratio between crest height p and channel width B, and to theoretically deduce a new stage–discharge relationship. A new theoretical stage–discharge relationship is suggested for the free-flow condition, and it is tested using experimental data available in the literature for the hydraulic condition p/B > 0. The obtained stage–discharge equation, characterized by low errors in discharge estimate, is useful for laboratory and field investigations. Finally, specific analysis for the triangular broad-crested weirs with p/B > 0 was developed to modify the stage–discharge relationship obtained for the case p/B = 0. This specific stage–discharge relationship allows to reduce the errors, which are generally less than ±5%, in the estimate of discharge for triangular broad-crested weirs with p/B > 0 and is also applicable for the case p/B = 0.

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Development of Parabolic Weirs for Simplified Discharge Measurement

Cited by 12 publications

References 5 publications

Dimensional analysis and stage-discharge relationship for weirs: a review

Dimensional analysis and stage-discharge relationship for weirs: a review

General Stage–discharge Relationship for Sharp‐crested Power‐law Weirs: Analytical and Experimental Study

New Stage–Discharge Relationship for Triangular Broad-Crested Weirs

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