TECHNICAL PAPERS
May 16, 2011

Effect of Weir Face Angles on Circular-Crested Weir Flow

Publication: Journal of Hydraulic Engineering
Volume 137, Issue 6

Abstract

The standard circular-crested weir is often found in engineering applications and is used as a discharge measurement device or as an overflow structure. This research determines the discharge coefficients for ten circular-crested weir configurations with various combinations of up- and downstream angles. Two different weir heights and four different overflow depths are considered for each weir shape. For free overflow, the discharge coefficient is determined experimentally by using the total head of the approach flow. The results indicate that the upstream weir face angle has only a small effect on the discharge coefficient. In contrast, increasing the downstream weir face angle increases the discharge coefficient notably. A new formula for the discharge coefficient is presented, including both the up- and downstream weir face angles. Further, the hydraulic performance of the circular-crested weir, the resulting discharge reduction from tailwater submergence, and transition flow are discussed.

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Acknowledgments

The first author was supported by the Swiss National Science Foundation, Grant No. NSF-CH200020-116680.

References

Bazin, H. (1898). “Expériences nouvelles sur l’écoulement en déversoir [New experiments on weir discharge].” Ann. Ponts Chaussées, 68(2), 151–265 [in French].
Bos, M. G. (1976). “Discharge measurement structures.” Rapport 4. Laboratorium voor Hydraulica an Afvoerhydrologie, Landbouwhogeschool, Wageningen, Netherlands.
Bretschneider, H. (1961). “Abflussvorgänge bei wehren mit breiter krone [Hydraulics of broad-crested embankment weirs].” Mitteilung 53. Institut für Wasserbau und Wasserwirtschaft, Technische Universität, Berlin [in German].
Castro-Orgaz, O. (2008). “Curvilinear flow over round-crested weirs.” J. Hydraul. Res., 46(4), 543–547.
Chanson, H., and Montes, J. S. (1998). “Overflow characteristics of circular crested weirs: Effects of inflow conditions.” J. Irrig. Drain Eng., 124(3), 152–162.
Dressler, R. F. (1978). “New nonlinear shallow flow equations with curvature.” J. Hydraul. Res., 16(3), 205–222.
Fritz, H. M., and Hager, W. H. (1998). “Hydraulics of embankment weirs.” J. Hydraul. Eng., 124(9), 963–971.
Hager, W. H. (1992). Energy dissipators and hydraulics jumps, Kluwer, Dordrecht, Netherlands.
Hager, W. H. (1994a). “Dammüberfälle [Dam Overflows].” Wasser und Boden, 45(2), 33–36 [in German].
Hager, W. H. (1994b). “Discussion of ‘Momentum model for flow past weir’, by A. S. Ramamurthy, N.-D. Vo., and G.Vera.” J. Irrig. Drain Eng., 120(3), 684–685.
Hégly, V. M. (1939). “Expériences sur l’écoulement de l’eau au-dessus et en dessous des barrages cylindriques [Discharge over and below cylindric weirs].” Ann. Ponts Chaussées, 109(9), 235–281 [in French].
Heidarpour, M., Habili, J. M., and Haghiabi, A. H. (2008). “Application of potential flow to circular-crested weir.” J. Hydraul. Res., 46(5), 699–702.
Jaeger, C. (1933a). “Notes sur le calcul des déversoirs et seuils [Discharge calculations for weirs and sills].” Bull. Tech. Suisse Romande, 59(13), 153–156 [in French].
Jaeger, C. (1933b). “Notes sur le calcul des déversoirs et seuils [Discharge calculations for weirs and sills].” Bull. Tech. Suisse Romande, 59(14), 166–169 [in French].
Jaeger, C. (1940). “Erweiterung der Boussinesq’schen Theorie des abflusses in offenen gerinnen: Abflüsse über abgerundete wehre [Extension of the Boussinesq Theory for open channel flow: Flow over round-crested weirs].” Wasserkraft und Wasserwirtschaft, 35(4), 83–86 [in German].
Lakshmana Rao, N. S. (1975). “Theory of weirs.” Advances in hydroscience, V. T. Chow, Ed., Academics Press, New York, 10, 309–406.
Lakshmana Rao, N. S., and Jagannadha Rao, M. V. (1973). “Characteristics of hydrofoil weirs.” J. Hydraul. Div., 99(HY2), 259–283.
Matthew, G. D. (1963a). “On the influence of curvature, surface tension and viscosity on flow over round crested weirs.” ICE Proc., 25(4), 511–524.
Matthew, G. D. (1963b). “On the influence of curvature, surface tension and viscosity on flow over round crested weirs.” ICE Proc., 28(4), 557–569.
Montes, J. S. (1970). “Flow over round crested weirs.” L’Energia Elettrica, 47(3), 155–164.
Ramamurthy, A. S., and Vo, N.-D. (1993a). “Characteristics of circular crested weir.” J. Hydraul. Eng., 119(9), 1055–1062.
Ramamurthy, A. S., and Vo, N.-D. (1993b). “Application of Dressler theory to weir flow.” J. Appl. Mech., 60(1), 163–166.
Ranga Raju, K. G., Srivastava, R., and Porey, P. D. (1990). “Scale effects in modelling flows over broad-crested weirs.” Irrig. Power India, 47(3), 101–106.
Schmocker, L., and Hager, W. H. (2009). “Modelling dike breaching due to overtopping.” J. Hydraul. Res., 47(5), 585–597.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 137Issue 6June 2011
Pages: 637 - 643

History

Received: Mar 24, 2010
Accepted: Oct 10, 2010
Published online: May 16, 2011
Published in print: Jun 1, 2011

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Authors

Affiliations

Lukas Schmocker [email protected]
Ph.D. Student, Laboratory of Hydraulics, Hydrology, and Glaciology VAW, Swiss Federal Institute of Technology ETH Zurich, CH-8092 Zurich, Switzerland (corresponding author). E-mail: [email protected]
Berglind R. Halldórsdóttir
M.Sc., ETH Civil Engineer, Basler and Hoffman Engineers, CH-8092 Zurich, Switzerland.
Willi H. Hager, F.ASCE [email protected]
Professor, Laboratory of Hydraulics, Hydrology, and Glaciology VAW, Swiss Federal Institute of Technology ETH Zurich, CH-8092 Zurich, Switzerland. E-mail: [email protected]

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