Experimental Study and Numerical Simulation of Inclined Rectangular Weirs
Publication: Journal of Irrigation and Drainage Engineering
Volume 144, Issue 7
Abstract
Inclined rectangular weirs, also named pivot weirs, are used both to adjust the upstream water level and to increase the flow capacity compared with that of normal rectangular weirs. However, the experimental studies available in the literature present contradictory conclusions for the inclined weir discharge capacity. In this paper, new experimental runs and numerical simulations were performed to investigate the effect of the rectangular weir inclination angle on the stage-discharge formula. The experiments were carried out using inclination angles ranging from 30° to 90°. Buckingham’s theorem of dimensional analysis was used to obtain an equation for the flow magnification ratio (the discharge through the pivot weir divided by the corresponding discharge over the vertical weir) as a function of the weir inclination angle. The experimental observations revealed that the flow magnification ratio increases with the inclination angle to a maximum of 1.082 for 30° of inclination. Bidimensional (2D) numerical analysis using the OpenFOAM computational fluid dynamic toolbox was also used. The flow magnification ratios obtained numerically confirmed those obtained experimentally.
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Acknowledgments
The first author would like to gratefully acknowledge the assistance of Mr. Qolamreza Babaei, the hydraulic lab supervisor of the Water Engineering Department, IKIU for his efforts to construct the experimental setup.
References
Aydin, I., A. Burcu Altan-Sakarya, and C. Sisman. 2011. “Discharge formula for rectangular sharp-crested weirs.” Flow Meas. Instrum. 22 (2): 144–151.
Barenblatt, G. I. 1979. Similarity, self-similarity and intermediate asymptotics. New York: Consultants Bureau.
Barenblatt, G. I. 1987. Dimensional analysis. Amsterdam, Netherlands: Gordon and Breach, Science Publishers.
Bos, M. G. 1989. Discharge measurement structures. Wageningen, Netherlands: International Institute for Land Reclamation and Improvement.
Di Stefano, C., V. Ferro, and M. Bijankhan. 2018. “Discussion of ’Extraction of the flow rate equation under free and submerged flow conditions in pivot weirs with different side contractions’ by N. Sheikh Rezazadeh Nikou, M. J. Monem, and K. Safavi.” J. Irrig. Drain. Eng. 144 (4): 07018008.
Ferro, V. 1997. “Applying hypothesis of self-similarity for flow-resistance of small-diameter plastic pipes.” J. Irrig. Drain. Eng. 123 (3): 175–179.
Ferro, V. 2000. “Simultaneous flow over and under a gate.” J. Irrig. Drain. Eng. 126 (3): 190–193.
Ferro, V. 2012. “New theoretical solution of the stage-discharge relationship for sharp-crested and broad weirs.” J. Irrig. Drain. Eng. 138 (3): 190–193.
Kindsvater, C. E., and R. W. C. Carter. 1957. “Discharge characteristics of rectangular thin-plate weirs.” J. Hydraul. Div. 83 (6): 1–36.
Manz, D. H. 1985. Systems analysis of irrigation conveyance systems. Edmonton, AL, Canada: Univ. of Alberta.
Nikou, N. S. R., M. J. Monem, and K. Safavi. 2016. “Extraction of the flow rate equation under free and submerged flow conditions in pivot weirs with different side contractions.” J. Irrig. Drain. Eng. 142 (8): 04016025.
OpenFOAM. 2014. The open source CFD toolbox: User guide, version 2.3.0. London: OpenFOAM Foundation.
Prakash, M. N. S., M. B. Ananthayya, and G. M. Kovoor. 2011. “Inclined rectangular weir-flow modeling.” Earth Sci. India 4 (2): 57–67.
Prakash, M. N. S., and A. V. Shivapur. 2004. “Generalized head-discharge equation for flow over sharp-crested inclined inverted V-notch weir.” J. Irrig. Drain. Eng. 130 (4): 325–330.
Wahlin, B. T., and J. A. Replogle. 1994. Flow measurement using an overshot gate. Denver: U.S. Dept. of the Interior Bureau of Reclamation.
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©2018 American Society of Civil Engineers.
History
Received: Mar 29, 2017
Accepted: Mar 5, 2018
Published online: Apr 26, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 26, 2018
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