TECHNICAL NOTES
Jun 1, 2007

Note on the Analysis of Plunging of Density Flows

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Publication: Journal of Hydraulic Engineering
Volume 133, Issue 6

Abstract

This note is devoted to the correction of an error in a calculation contained in a classical published paper on the plunging of river flows as they enter lakes or reservoirs. The correction of the error provides a felicitous result, according to which not only the ratio of underflow thickness just after plunging to depth just before plunging, but also the densimetric Froude numbers both just before and just after plunging are all specified as a function of a single parameter. This single parameter characterizes the tendency of plunging to entrain ambient water into the density underflow.

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Acknowledgments

The research for this paper was funded by the National Center for Earth-Surface Dynamics, which is in turn funded by the Science and Technology Centers (STC) program of the National Science Foundation. Svetlana Kostic provided several helpful comments.

References

Akiyama, J., and Stefan, H. (1984). “Plunging flow into a reservoir: Theory.” J. Hydraul. Eng., 110(4), 484–499.
Bournet, P., Dartus, D., Tassin, B., and Vincon-Leite, B. (1999). “Numerical investigation of plunging density current.” J. Hydraul. Eng., 125(6), 584–594.
Farrell, G. J., and Stefan, H. (1986). “Mathematical modeling of plunging reservoir flows.” J. Hydraul. Res., 26(5), 525–537.
Jain, S. C. (1981). “Plunging phenomena in reservoirs.” Proc., Symp. on Surface Water Impoundments, ASCE, Reston, Va., 1249–1257.
Parker, G., Garcia, M., Fukushima, Y., and Yu, W. (1987). “Experiments on turbiditry currents over an erodible bed.” J. Hydraul. Res., 25(1), 123–147.
Savage, S. B., and Brimberg, J. (1975). “Analysis of plunging phenomena in water reservoirs.” J. Hydraul. Res., 13(2), 187–205.
Singh, B., and Shah, C. R. (1971). “Plunging phenomenon of density currents in reservoirs.” Houille Blanche, 26(1), 59–64.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 133Issue 6June 2007
Pages: 690 - 694

History

Received: Dec 31, 2002
Accepted: Sep 18, 2006
Published online: Jun 1, 2007
Published in print: Jun 2007

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Authors

Affiliations

Gary Parker, M.ASCE
Professor, Ven Te Chow Hydrosystems Laboratory, Dept. of Civil and Environmental Engineering and Dept. of Geology, 205 N. Mathews Ave., Univ. of Illinois, Urbana, IL 61801.
Horacio Toniolo
Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Alaska, Fairbanks, AK 99775-5590.

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