TECHNICAL NOTES
Aug 1, 2006

Bottom Aeration of Stepped Spillways

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Publication: Journal of Hydraulic Engineering
Volume 132, Issue 8

Abstract

The upstream reach of stepped spillway flows may become prone to cavitation damage for large specific discharges because of the absence of air close to its bottom, until the point of bottom self-aeration is reached. This study considers the effect of two aerator types located at the first vertical step face to add air to the chute bottom. Compared to standard stepped spillway flow, considerable differences may be observed closely downstream of the aerator, whereas no significant deviations occur in the far-downstream chute reach. The characteristics of bottom air concentration curves on stepped chutes are investigated with an experimental approach. The results are then compared with flows on both smooth chutes and standard stepped chutes. The data analysis results in design equations that may be applied to usual stepped spillways of chute angles around 50 . In addition, a sinusoidal variation of air concentration about the average value as a novel phenomenon is described relating to a local instability in the minimum bottom air concentration reach.

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Acknowledgment

The first writer was supported by the Swiss National Science Foundation, Grant No. NSF-CH200021-101548/1.

References

Boes, R. M. (2000). “Zweiphasenströmung und Energieumsetzung an Grosskaskaden.” VAW Mitteilung, 166, H.-E. Minor, ed., ETH, Zurich, Switzerland (in German).
Boes, R. M., and Hager, W. H. (2003a). “Two-phase flow characteristics of stepped spillways.” J. Hydraul. Eng., 129(9), 661–670.
Boes, R. M., and Hager, W. H. (2003b). “Hydraulic design of stepped spillways.” J. Hydraul. Eng., 129(9), 671–679.
Chanson, H. (2002). The hydraulics of stepped chutes and spillways, Swets & Zeitlinger, Lisse, The Netherlands.
Drewes, U. (1988). “Oberflächentoleranzen bei Betonschussrinnen im Hinblick auf Kavitation.” VAW Mitteilung, 99, D. Vischer, ed., ETH, Zürich, 11–33 (in German).
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Kramer, K. (2003). “Bottom air concentration of aerated chutes.” J.F. Kennedy Student Paper Competition, Proc. 30 IAHR Congress, Thessaloniki, Greece, 17–24.
Minor, H.-E., and Hager, W. H., eds. (2000). Hydraulics of stepped spillways, Balkema, Rotterdam, The Netherlands.
Pfister, M. (2002). “Kaskadenbelüfter—Hydraulische Modelluntersuchung.” MSc thesis, ETH, Zurich, Switzerland (in German).
Rutschmann, P., and Volkart, P. (1988). “Spillway chute aeration.” Int. Water Power Dam Constr., 40(1), 10–15.
Sánchez, M., Pomares, J., and Dolz, J. (2000). “Pressure field in skimming flow over a stepped spillway.” Hydraulics of stepped spillways, H.-E. Minor and W. H. Hager, eds., Balkema, Rotterdam, The Netherlands, 137–145.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 132Issue 8August 2006
Pages: 850 - 853

History

Received: Aug 16, 2004
Accepted: Aug 19, 2005
Published online: Aug 1, 2006
Published in print: Aug 2006

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Authors

Affiliations

Michael Pfister
Ph.D. Student, Laboratory of Hydraulics, Hydrology and Glaciology, VAW, ETH Zurich, 8092 Zurich, Switzerland.
Willi H. Hager, F.ASCE [email protected]
Professor, Laboratory of Hydraulics, Hydrology and Glaciology, VAW, ETH Zurich, 8092 Zurich, Switzerland (corresponding author). E-mail: [email protected]
Hans-Erwin Minor
Professor, Laboratory of Hydraulics, Hydrology and Glaciology, VAW, ETH Zurich, 8092 Zurich, Switzerland.

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