TECHNICAL PAPERS
Apr 1, 1988

Gravity‐Affected Potential Flows Past Spillway Flip Buckets

Publication: Journal of Hydraulic Engineering
Volume 114, Issue 4

Abstract

Previous analytical studies on potential flows past spillway flip buckets have almost always been done based on the essential assumption that gravity effects on the bucket flows can be neglected. This limits their applications only to flows with very large Froude numbers past very high dams. The Riemann‐Hilbert mixed‐boundary value problem technique is employed herein to solve the gravity‐affected potential flows through curvilinear and straight segmental flip buckets. Pressure distributions along the flip buckets and exit angles of the deflecting jet are computed by solving the resulting integral equations. Experimental data on pressure distributions along the bucket have been compared with this theoretical analysis, and it is shown that the agreement is satisfactory. This is a great improvement over the previous solutions in the absence of gravity.

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References

1.
Chen, T.‐C., and Yu, Y.‐S. (1965). “Pressure distribution on spillway flip bucket.” J. Hydr. Div., ASCE, 91(HY2), 51–63.
2.
Kiselev, N. G. (1972). Handbook of hydraulic calculation, Energy (in Russian).
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Larock, B. E. (1969). “Gravity affected flow under planar sluice gates.” J. Hydr. Div., ASCE, 95(HY4), 1211–1226.
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Lenau, C. W., and Cassidy, J. J. (1969). “Flow through spillway flip bucket.” J. Hydr. Div., ASCE, 95(HY2), 633–648.
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Orlov, V. T. (1968). “Calculation of free surface profile and pressure distribution along a circular arc connecting sloping and horizontal segments.” Transactions of All Union Scientific Research Institute of Hydraulic Engineering, No. 87 (in Russian).
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Siao, T. T., and Hubbard, P. G. (1953). “Deflection of jets, Pt I: symmetrically placed V‐shaped obstacle.” Free streamline analysis of transitional flow and jet deflection, J. S. McNown and C. S. Yih, eds., State Univ. of Iowa, Iowa City, Iowa.
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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 114Issue 4April 1988
Pages: 409 - 427

History

Published online: Apr 1, 1988
Published in print: Apr 1988

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Authors

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Li Shuguang
Grad. Student, Inst. of Hydr. Res., Univ. of Iowa, Iowa City, IA 52242
Liang Zhengxiang
Prof., Inst. of Hydr. Research, Chengdu Univ. of Sci. and Tech., People's Republic of China

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