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Steady shallow flow over a spillway

Published online by Cambridge University Press:  20 April 2006

N. S. Sivakumaran
Affiliation:
Asian Institute of Technology, Bangkok, Thailand
R. J. Hosking
Affiliation:
Asian Institute of Technology, Bangkok, Thailand University of Waikato, Hamilton, New Zealand.
T. Tingsanchali
Affiliation:
Asian Institute of Technology, Bangkok, Thailand

Abstract

A simple derivation of recent shallow-flow equations with bed curvature is presented. These equations are applied to steady flow over a high overflow spillway crest, to obtain the head–discharge relationship and the crest-pressure distribution in good agreement with experiment. It is inferred that the equations are valid for quite large negative curvature. On the other hand, their application to steady flow over a spillway toe indicates their validity for positive curvature is more limited.

Type
Research Article
Copyright
© 1981 Cambridge University Press

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References

Ackers, P., White, W. R., Perkins, J. A. & Harrison, A. J. M. 1978 Weirs and Flumes for Flow Measurement. Wiley.
Balloffet, A. 1961 Pressures on spillway flip buckets. Proc. A.S.C.E. 87 (HY5), 8798.Google Scholar
Chow, V. T. 1959 Open Channel Hydraulics, pp. 370380. McGraw-Hill.
Dobson, R. S. 1967 Some applications of a digital computer to hydraulic engineering problems. Dept of Civil Engng, Stanford Univ. Tech. Rep. no. 80, pp. 3639.Google Scholar
Douma, J. H. 1954 Discussion on design of side walls in chutes and spillways. Trans. A.S.C.E. 119, 364368.Google Scholar
Dressler, R. F. 1978 New nonlinear shallow flow equations with curvature. J. Hydraulic Res. 16, 205220.Google Scholar
Henderson, F. M. 1966 Open Channel Flow, pp. 180191. Macmillan.
Henderson, F. M. & Tierney, D. G. 1963 Flow at the toe of a spillway, II — The “solid toe” spillway. La Houille Blanche 1, 4250.Google Scholar
Rouse, H. & Reid, L. 1935 Model research on spillway crests, a study of pressure distribution and discharge as a function of crest design. Civil Engng 5, 47.Google Scholar
Saint-Venant, B. De 1871 C.R. Acad. Sci. Paris 73, 147154, 237–240.
Sivakumaran, N. S. 1981 Shallow flow over curved beds. D. Eng. thesis, Asian Institute of Technology, Bangkok, Thailand.