TECHNICAL NOTES
Jun 22, 2009

Calculation of Contraction Coefficient under Sluice Gates and Application to Discharge Measurement

Publication: Journal of Hydraulic Engineering
Volume 135, Issue 12

Abstract

The contraction coefficient under sluice gates on flat beds is studied for both free flow and submerged conditions based on the principle of momentum conservation, relying on an analytical determination of the pressure force exerted on the upstream face of the gate together with the energy equation. The contraction coefficient varies with the relative gate opening and the relative submergence, especially at large gate openings. The contraction coefficient may be similar in submerged flow and free flow at small openings but not at large openings, as shown by some experimental results. An application to discharge measurement is also presented.

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References

Belaud, G., and Litrico, X. (2008). “Closed-form solution of the potential flow in a contracted flume.” J. Fluid Mech., 599, 299–307.
Benjamin, T. B. (1956). “On the flow in channels when rigid obstacles are placed in the stream.” J. Fluid Mech., 1, 227–248.
Binnie, A. (1952). “The flow of water under a sluice gate.” Q. J. Mech. Appl. Math., 5, 395–407.
Chung, Y. (1972). “Solution of flow under sluice gates.” J. Engrg. Mech. Div., 98(1), 121–140.
Clemmens, A., Strelkoff, T., and Replogle, J. (2003). “Calibration of submerged radial gates.” J. Hydraul. Eng., 129(9), 680–687.
Defina, A., and Susin, F. (2003). “Hysteretic behavior of the flow under a vertical sluice gate.” Phys. Fluids, 15, 2541–2548.
Fangmeier, D., and Strelkoff, T. (1968). “Solution for gravity flow under a sluice gate.” J. Engrg. Mech. Div., 94(EM1), 153–176.
Fardjeli, N. (2007). “Modélisation d’ouvrages de régulation pour l’aide à la gestion des canaux.” MS thesis, Montpellier Supagro, France, 57 (in French).
Fawer, C. (1937). “Etude de quelques écoulements permanents à filets courbes.” Ph.D. thesis, EPF Lausanne, Switzerland (in French).
Garbrecht, G. (1977). “Discussion of ‘Discharge computations at river control structures’ by L. Dannie.” J. Hydr. Div., 103(2), 1481–1484.
Henry, R. (1950). “Discussion to ‘On submerged jets.’” Trans. ASCE, 115, 687–694.
Kim, D. (2007). “Numerical analysis of free flow past a sluice gate.” KSCE J. Civil Engineering, 11(2), 127–132.
Larock, B. (1969). “Gravity-affected flow sluice gate.” J. Hydr. Div., 95(HY4), 153–176.
Marchi, E. (1953). “Sui fenomeni di efflusso piano da luci a battente.” Ann. Mat. Pura Appl., 35(1), 327–341 (in Italian).
Montes, J. S. (1997). “Irrotational flow and real fluid effects under planar sluice gates.” J. Hydraul. Eng., 123(3), 219–232.
Ohtsu, I., and Yasuda, Y. (1994). “Characteristics of supercritical-flow below sluice gate.” J. Hydraul. Eng., 120(3), 332–346.
Rajaratnam, N. (1977). “Free flow immediately below sluice gates.” J. Hydr. Div., 103(4), 345–351.
Rajaratnam, N., and Subramanya, K. (1967). “Flow immediately below submerged sluice gate.” J. Hydr. Div., 93(4), 57–77.
Roth, A., and Hager, W. (1999). “Underflow of standard sluice gate.” Exp. Fluids, 27, 339–350.
Speerli, J., and Hager, W. (1999). “Discussion to ‘Irrotational flow and real fluid effects under planar sluice gates’ by J.S. Montes.” J. Hydraul. Eng., 125(2), 208–210.
Swamee, P. (1992). “Sluice gate discharge equations.” J. Irrig. Drain. Eng., 118(1), 56–60.
Tel, J. (2000). “Discharge relations for radial gates.” MS thesis, Delft Technical Univ., The Netherlands.
Vanden-Broeck, J. (1997). “Numerical calculations of the free-surface flow under a sluice gate.” J. Fluid Mech., 330, 339–347.
von Mises, R. (1917). Berechnung von ausfluß und ueberfallzahlen, Zeitschrift des Vereine Deutscher Ingenieure, Berlin (in German).
Woycicki, K. (1935). “The hydraulic jump on its role on discharge of sluice gates.” Technical Rep. No. 3-2, U.S. Bureau of Reclamation, Denver, 65.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 135Issue 12December 2009
Pages: 1086 - 1091

History

Received: Apr 4, 2008
Accepted: Jun 19, 2009
Published online: Jun 22, 2009
Published in print: Dec 2009

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Authors

Affiliations

Gilles Belaud [email protected]
Assistant Professor, UMR G-EAU, SupAgro 1, place Pierre Viala, 34060 Montpellier Cedex 1, France (corresponding author). E-mail: [email protected]
Ludovic Cassan [email protected]
Researcher, UMR G-EAU, SupAgro 1, place Pierre Viala, 34060 Montpellier Cedex 1, France (corresponding author). E-mail: [email protected]
Jean-Pierre Baume [email protected]
Research Engineer, UMR G-EAU, Cemagref, 361 rue Jean-François Breton, 34196 Montpellier Cedex 5, France. E-mail: [email protected]

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