In this paper, the stage-discharge equation of a harmonic plane weir is deduced applying both the classical approach of the discharge coefficient Cd and the Π- Theorem of dimensional analysis and the self-similarity theory. At first, using the laboratory measurements carried out by Yildiz et al. (2024), a new relationship for estimating Cd is proposed. This new empirical expression of the discharge coefficient (Eq. (15)) allows for improving the performance of the stage-discharge equation (Eq. 13), which is characterized by errors in the discharge estimate E varying from – 7.7 to 7.7 % and a mean square error MSE of 0.214. Then, applying the dimensional analysis, a new stage-discharge relationship was deduced and calibrated using the same dataset. This theoretical equation is characterized by errors E ranging from – 7.1 to 7.4 %, and a MSE of 0.193. In conclusion, the stage-discharge relationship deduced by dimensional analysis is characterized by the best performances in the discharge estimate and has also the advantage of working without the need of estimating the discharge coefficient.

Serio M.A., Di Stefano C., Nicosia A., Ferro V. (2024). Comment on “the hydraulic investigation of harmonic plan weirs” by A. Yıldız, A. İhsan Marti, M. Göğüş. FLOW MEASUREMENT AND INSTRUMENTATION, 97 [10.1016/j.flowmeasinst.2024.102606].

Comment on “the hydraulic investigation of harmonic plan weirs” by A. Yıldız, A. İhsan Marti, M. Göğüş

Serio M. A.
Primo
Membro del Collaboration Group
;
Di Stefano C.
Membro del Collaboration Group
;
Nicosia A.
Membro del Collaboration Group
;
Ferro V.
Ultimo
Membro del Collaboration Group
2024-04-01

Abstract

In this paper, the stage-discharge equation of a harmonic plane weir is deduced applying both the classical approach of the discharge coefficient Cd and the Π- Theorem of dimensional analysis and the self-similarity theory. At first, using the laboratory measurements carried out by Yildiz et al. (2024), a new relationship for estimating Cd is proposed. This new empirical expression of the discharge coefficient (Eq. (15)) allows for improving the performance of the stage-discharge equation (Eq. 13), which is characterized by errors in the discharge estimate E varying from – 7.7 to 7.7 % and a mean square error MSE of 0.214. Then, applying the dimensional analysis, a new stage-discharge relationship was deduced and calibrated using the same dataset. This theoretical equation is characterized by errors E ranging from – 7.1 to 7.4 %, and a MSE of 0.193. In conclusion, the stage-discharge relationship deduced by dimensional analysis is characterized by the best performances in the discharge estimate and has also the advantage of working without the need of estimating the discharge coefficient.
apr-2024
Settore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-Forestali
Serio M.A., Di Stefano C., Nicosia A., Ferro V. (2024). Comment on “the hydraulic investigation of harmonic plan weirs” by A. Yıldız, A. İhsan Marti, M. Göğüş. FLOW MEASUREMENT AND INSTRUMENTATION, 97 [10.1016/j.flowmeasinst.2024.102606].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/636696
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