Flow in Spillways with Gradually Varied Curvature
Publication: Journal of Engineering Mechanics
Volume 116, Issue 2
Abstract
In the conventional design of a spillway invert and flow bucket, circular, elliptic, and parabolic curves are generally used to connect straight boundaries. Because of the abrupt change in curvature at tangency points, considerable drop of pressure may occur, which sometimes causes cavitation damage. Two kinds of curves with gradually varied curvature, CGVC 1 and CGVC 2, are suggested in spillway design to connect two given points. The slope and the curvature at both ends are specified for a CGVC 1 curve. For a CGVC 2 curve, with other conditions the same as CGVC 1, the curvature at the downstream end is not prescribed. A variable domain finite element scheme, in which the location of the free surfaces of the jet is determined simultaneously with the stream function, is then briefly described. The proposed curves with gradually varied curvature are used in four sample designs. Computational results with the finite element scheme indicate that the new designs give better pressure distribution than the conventional one.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Courant, R., and Hilbert, D. (1953). Methods of mathematical physics. Vol. 1, Interscience Publishers, New York, N.Y.
2.
Hager, W. H. (1987). “Continuous crest profile for standard spillway.” J. Hydr. Engrg., ASCE, 113(11), 1453–1457.
3.
Hsu, H. C. (1963). “Pressure distribution along semi‐infinite gate piers in two‐dimensional conduits.” Scientia Sinica, Beijing, Chinia, 12(9), 1357–1364.
4.
Hsu, H. C. (1976). “Finite element computation of the pressure distribution along the bottom of a spillway.” Internal Report, Inst. of Water Conservancy and Hydroelectric Power Res., Beijing, China (in Chinese).
5.
Hsu, H. C. (1980). “A method for the solution of free surface gravity flow by finite elements.” J. Hydr. Engrg., Beijing, China 1, 1–13 (in Chinese).
6.
Hsu, H. C., and Zhao, Z. G. (1963). “Pressure distribution along two‐dimensional circular and elliptic conduit inlets.” Internal Report, Inst. of Water Conservancy and Hydroelectric Power Res., Beijing, China (in Chinese).
7.
Ku, C. H., and Jin, Z. Q. (1985). “The investigation of a more rational configuration of the invert curve of a spillway.” Cavitation in hydraulic structures and turbomachinery, vol. 25, Fluid Engineering Division, Am. Soc. of Mech. Engrs., New York, N.Y., 143–148.
8.
Li, Z. Y. (1982). “A study on spillway profiles with large head drop.” J. Hydr. Engrg., Beijing, China, 9, 1–10 (in Chinese).
9.
Lin, B. N., Gong, Z. Y., and Pan, D. H. (1982). “A rational profile for flip buckets of high dams.” Scientia Sinica (Series A), Beijing, China, 25(12), 1343–1352.
10.
Lin, B. Y., and Xu, X. Q. (1985). “Analysis of two‐dimensional cavity flow by finite elements.” Applied mathematics and mechanics, Shanghai, China, 6(53), 483–493.
11.
Rouse, H. (1938). Fluid mechanics for hydraulic engineers. McGraw‐Hill Book Co., New York, N.Y., 316–319.
12.
Sun, X. X., et al. (1984). “Software for numerical solution of the flow over dam spillways.” Collected Research Papers, 24, Inst. of Water Conservancy and Hydroelectric Power Res., Beijing, China, 72–83 (in Chinese).
13.
Xie, X. Z., and Li, S. Q. (1982). “Improvement of the curvature of spillways over power house of high dam projects.” Water Power, Beijing, China, 1, 31–36 (in Chinese).
14.
Xu, X. Q., Zhang, Z., and Zhou, X. Y. (1983). “Computation of spillway flow over power plant by finite elements.” J. Hydrelectric Engrg., Beijing, China, 1, 1–9 (in Chinese).
15.
Xu, X. Q., and Sun, X. X. (1987). “Multiparameter spillway curves with gradually varied curvature.” Internal Report, Inst. of Water Conservancy and Hydroelectric Power Res., Beijing, China (in Chinese).
16.
Yan, Z. (1983). “The similarity of subatmospheric hydraulic model test.” J. Hydr. Engrg., Beijing, China, 3, 31–40 (in Chinese).
17.
Zhang, Z., and Sun, X. X. (1984). “The numerical analysis of free jet flow from the flip bucket.” Collected Res. Papers, Inst. of Water Conservancy and Hydroelectric Power Res., Beijing, China, vol. 24, 84–92 (in Chinese).
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 2 • February 1990
Pages: 390 - 398
Copyright
Copyright © 1990 ASCE.
History
Published online: Feb 1, 1990
Published in print: Feb 1990
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.