Stage-Discharge Relationship for Sharp-Crested Rectangular Slit Weirs
Publication: Journal of Irrigation and Drainage Engineering
Volume 145, Issue 10
Abstract
Sharp-crested slit weirs are used for measuring small flow discharges. Different stage-discharge relationships can be found in the literature for computing the flow discharge of sharp-crested slit weirs. In this study, the performances of different available stage-discharge relationships are discussed using experimental data available in the literature. The flow process of a sharp-crested slit weir was analyzed based on the dimensional analysis theorem. The deduced stage-discharge equation was calibrated using the available experimental data for slit weirs with contraction ratios ranging from 0.017 to 0.25. The deduced stage-discharge relationship allowed measuring discharge values with an average error of 1.02% and a maximum error of 4.6%. The results of this study indicate that while weir Reynolds number is a predominant quantity affecting the flow discharge of rectangular slit weirs, the contraction ratio is a predominant quantity for contracted weirs. At the cost of less accuracy, an overall solution is presented in terms of the contraction ratio, which is applicable for slit, contracted, and suppressed weirs.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
No models or codes were used during the study. All data used during this study appeared in Ferro and Aydin (2018a).
References
Aydin, I., A. B. Altan-Sakarya, and A. M. Ger. 2006. “Performance of slit weir.” J. Hydraul. Eng. 132 (9): 987–989. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:9(987).
Aydin, I., A. B. Altan-Sakarya, and C. Sisman. 2011. “Discharge formula for rectangular sharp-crested weirs.” Flow Meas. Instrum. 22 (2): 144–151. https://doi.org/10.1016/j.flowmeasinst.2011.01.003.
Aydin, I., A. Ger, and O. Hincal. 2002. “Measurement of small discharges in open channels by slit weir.” J. Hydraul. Eng. 128 (2): 234–237. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:2(234).
Bijankhan, M., C. Di Stefano, and V. Ferro. 2018. “Generalised stage–discharge relationship for rectangular weirs.” Proc. Inst. Civ. Eng. Water Manage. 171 (3): 125–133. https://doi.org/10.1680/jwama.16.00102.
Bijankhan, M., and V. Ferro. 2017a. “Dimensional analysis and stage-discharge relationship for weirs: A review.” J. Agric. Eng. 48 (1): 1–11. https://doi.org/10.4081/jae.2017.575.
Bijankhan, M., and V. Ferro. 2017b. “Assessing stage-discharge relationships for circular overflow structure.” J. Irrig. Drain. Eng. 144 (1): 04017053. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001246.
Bijankhan, M., and A. Mahdavi Mazdeh. 2018. “Assessing Malcherek’s outflow theory to deduce the theoretical stage-discharge formula for overflow structures.” J. Irrig. Drain. Eng. 144 (11): 06018007. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001353.
Bos, M. G. 1989. Discharge measurement structures. Wageningen, Netherlands: International Institute for Land Reclamation and Improvement.
Ferro, V., and I. Aydin. 2018a. “New theoretical solution of stage-discharge relationship for slit weirs.” J. Irrig. Drain. Eng. 144 (3): 06018001. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001285.
Ferro, V., and I. Aydin. 2018b. “Testing the outflow theory of Malcherek by slit weir data.” Flow Meas. Instrum. 59 (Mar): 114–117. https://doi.org/10.1016/j.flowmeasinst.2017.12.003.
Gharahjeh, S. 2012. “Experimental investigation on sharp-crested rectangular weirs.” M.Sc. thesis, Dept. of Civil Engineering, Middle East Technical Univ.
Gharahjeh, S., I. Aydin, and A. B. Altan-Sakarya. 2015. “Weir velocity formulation for sharp-crested rectangular weirs.” Flow Meas. Instrum. 41 (Mar): 50–56. https://doi.org/10.1016/j.flowmeasinst.2014.10.018.
Ramamurthy, A. S., J. Kai, and S. S. Han. 2013. “V-Shaped multislit weirs.” J. Irrig. Drain. Eng. 139 (7): 582–585. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000574.
Ramamurthy, A. S., J. Qu, C. Zhai, and D. Vo. 2007. “Multislit weir characteristics.” J. Irrig. Drain. Eng. 133 (2): 198–200. https://doi.org/10.1061/(ASCE)0733-9437(2007)133:2(198).
Swamee, P. K. 1988. “Generalized rectangular weir equations.” J. Hydraul. Eng. 114 (8): 945–949. https://doi.org/10.1061/(ASCE)0733-9429(1988)114:8(945).
Vatankhah, A. R., A. Barghi-Khezerloo, and H. Khalili-Shayan. 2014. “Discussion of ‘V-shaped multislit Weirs’ by AS Ramamurthy, J. Kai, and SS Han.” J. Irrig. Drain. Eng. 140 (8): 07014023. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000758.
Vatankhah, A. R., and S. Khalili. 2017. “Sharp-crested weir located at the end of a circular channel.” Proc. Inst. Civ. Eng. Water Manage. 170 (6): 287–297. https://doi.org/10.1680/jwama.16.00032.
Information & Authors
Information
Published In
Copyright
©2019 American Society of Civil Engineers.
History
Received: Dec 7, 2018
Accepted: Jun 4, 2019
Published online: Aug 5, 2019
Published in print: Oct 1, 2019
Discussion open until: Jan 5, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.