New Solution of Classical Hydraulic Jump
Publication: Journal of Hydraulic Engineering
Volume 135, Issue 6
Abstract
This technical note, applying dimensional analysis and incomplete self-similarity, proposes a new functional relationship for the sequent depth ratio for hydraulic jumps over both smooth and rough horizontal beds. For the smooth bed condition, experimental measurements in the literature were used to calibrate the new relationship. For the rough bed condition the data of a previous investigation were used with new measurements carried out in a rectangular horizontal flume having a gravel bed. Finally, a generalized solution of the sequent depth ratio is proposed.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The research was carried out with the financial support of the Grant MIURMIUR 60%–Ministero Istruzione, Università e Ricerca Scientifica—Governo Italiano.
References
Bakhmeteff, B. A. (1932). Hydraulics of open channels, McGraw-Hill, New York.
Barenblatt, G. I. (1979). Similarity, self-similarity and intermediate asymptotics, Consultants Bureau, New York.
Barenblatt, G. I. (1987). Dimensional analysis, Gordon and Breach Science, Amsterdam, The Netherlands.
Carollo, F. G., and Ferro, V. (2004a). “Contributo allo studio della lunghezza del risalto libero su fondo liscio e scabro.” Rivista di Ingegneria Agraria, 35(4), 13–20 (in Italian).
Carollo, F. G., and Ferro, V. (2004b). “Determinazione delle altezze coniugate del risalto libero su fondo liscio e scabro.” Rivista di Ingegneria Agraria, 35(4), 1–11 (in Italian).
Carollo, F. G., Ferro, V., and Pampalone, V. (2007). “Hydraulic jumps on rough beds.” J. Hydraul. Eng., 133(9), 989–999.
Ead, S. A., and Rajaratnam, N. (2002). “Hydraulic jump on corrugated beds.” J. Hydraul. Eng., 128(7), 656–663.
Ferro, V. (1997). “Applying the hypothesis of self-similarity for flow resistance law of small-diameter plastic pipes.” J. Hydraul. Eng., 123(3), 175–179.
Ferro, V. (2006). La sistemazione dei bacini idrografici, 2nd Ed., McGraw-Hill, Milano, Italy (in Italian).
Gill, M. A. (1980). “Effect of boundary roughness on hydraulic jump.” Int. Water Power Dam Constr., 32(1), 22–24.
Hager, W. H. (1992). Energy dissipators and hydraulic jump, Kluwer Academic, Dordrecht, The Netherlands.
Hager, W. H., and Bremen, R. (1989). “Classical hydraulic jump: Sequent depths.” J. Hydraul. Res., 27(5), 565–585.
Hager, W. H., Bremen, R., and Kawagoshi, N. (1990). “Classical hydraulic jump: Length of Roller.” J. Hydraul. Res., 28(5), 591–608.
Harleman, D. R. F. (1959). “Discussion of ‘Turbulence characteristics of the hydraulic jump’ by Rouse, H., Siao, T. T., and Nagaratnam, S.” Trans. Am. Soc. Civ. Eng., 124, 959–962.
Hughes, W. C., and Flack, J. E. (1984). “Hydraulic jump properties over a rough bed.” J. Hydraul. Eng., 110(12), 1755–1771.
Rajaratnam, N. (1965). “The hydraulic jump as a wall jet.” J. Hydr. Div., 91(5), 107–132.
Rouse, H. (1965). “Critical analysis of open channel resistance.” J. Hydr. Div., 91(7), 1–25.
Rouse, H., Koloseus, H. J., and Davidian, J. (1963). “The role of Froude number in open channel resistance.” J. Hydraul. Res., 1(1), 14–19.
Sarma, K. V. N., and Syamala, P. (1991). “Supercritical flow in smooth open channels.” J. Hydraul. Eng., 117(1), 54–63.
Vinti, C. (1986). Lezioni di analisi matematica, Vol. 1, Galeno Editrice, Perugia, Italy (in Italian).
Information & Authors
Information
Published In
Copyright
© 2009 ASCE.
History
Received: Jan 9, 2008
Accepted: Dec 3, 2008
Published online: Feb 6, 2009
Published in print: Jun 2009
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.