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Steady shallow flow over curved beds

Published online by Cambridge University Press:  20 April 2006

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

The validity of recent shallow-flow equations with bed curvature is examined. Subcritical, critical and supercritical steady-flow solutions are identified, and the point of critical flow on the bed located, in terms of a generalized Froude number. Experiments on steady flow over both a symmetric and unsymmetric bed profile show that the theory satisfactorily predicts the free-surface and bed-pressure profiles over −2 [lsim ] kh 0·54 (where k is the bed curvature and h is the flow depth normal to the bed).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 128 , March 1983 , pp. 469 - 487
Copyright
© 1983 Cambridge University Press

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References

Bauer, W. J. 1954 Trans. A.S.C.E. 119, 1212–1233.
Chow, V. T. 1959 Open Channel Hydraulics, pp. 370–380. McGraw-Hill.
De Boor, C. 1978 A Practical Guide to Splines, pp. 108–164. Springer.
Dressler, R. F. 1978 New nonlinear shallow-flow equations with curvature J. Hydraul. Res. 16, 205–220.Google Scholar
Escoffier, F. F. 1958 Trans. A.S.C.E. 123, 43–65.
Henderson, F. M. 1966 Open Channel Flow. Macmillan.
Henderson, F. M. & Tierney, D. C. 1963 Flow at the toe of a spillway, II – The “solid toe” spillway. Houille Blanche 1, 42–50.Google Scholar
Loganantharaj, R. 1981 Generation of curves and surfaces. M.Eng. thesis, Division of Computer Applications, Asian Institute of Technology, Bangkok, Thailand.
Sivakumaran, N. S. 1981 Shallow-flow over curved beds. D.Eng. thesis, Division of Water Resources Engineering, Asian Institute of Technology, Bangkok, Thailand.
Sivakumaran, N. S., Hosking, R. J. & Tingsanchali, T. 1981 Steady shallow flow over a spillway J. Fluid Mech. 111, 411–420.Google Scholar
Streeter, V. L. & Wylie, E. B. 1975 Fluid Mechanics, pp. 471–473. McGraw-Hill, Kogakusha.