TECHNICAL NOTES
Oct 15, 2002

Undular Hydraulic Jumps in Circular Conduits

Publication: Journal of Hydraulic Engineering
Volume 128, Issue 11

Abstract

Undular hydraulic jumps in circular conduits are considered with an experimental approach. Based on previous findings in rectangular channels, this research indicates differences in terms of shape effects. All present results depend on the filling ratio of the upstream conduit flow in addition to the upstream Froude number. The results include information on the wave crests and troughs, wave lengths, and generalized axial surface profiles. The wall surface profile is shown to be similar to the axial wave profile, but with smaller wave extrema and a wave shift. The design of conduits containing undular jumps should be avoided because of unstable flow. It is also demonstrated that conduits may choke in the presence of undular jumps, with a previously established choking number relating to a design limit. For flows with choking numbers in excess of 1, choking occurs associated with a transition from the free surface to the pressurized conduit flow.

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References

Andersson, C. D., and Vanden-Broek, J.-M.(1996). “Bow flows with surface tension.” Proc. R. Soc. London, Ser. A, 452, 1985–1997.
Chanson, H., and Montes, J. S.(1995). “Characteristics of undular hydraulic jumps: Experimental apparatus and flow patterns.” J. Hydraul. Eng., 121(2), 129–144.
Hager, W. H., and Reinauer, R.(1997). “Discussion of ‘Characteristics of undular hydraulic jumps: Experimental apparatus and flow patterns,’ by H. Chanson, and J. S. Montes.” J. Hydraul. Eng., 123(2), 162–164.
Hager, W. H. (1999). Wastewater hydraulics, Springer, Berlin.
Montes, J. S., and Chanson, H.(1998). “Characteristics of undular hydraulic jumps: Experiments and analysis.” J. Hydraul. Eng., 124(2), 192–205.
Ohtsu, I., Yasuda, Y., and Gotoh, H.(1997). “Discussion of ‘Characteristics of undular hydraulic jumps: Experimental apparatus and flow patterns,’ by H. Chanson, and J. S. Montes.” J. Hydraul. Eng., 123(2), 161–162.
Reinauer, R., and Hager, W. H.(1997). “Nonbreaking undular hydraulic jump.” J. Hydraul. Res., 33(5), 683–698.
Stahl, H., and Hager, W. H.(1999). “Hydraulic jumps in circular pipes.” Can. J. Civ. Eng., 26, 368–373.

Information & Authors

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 128Issue 11November 2002
Pages: 1008 - 1013

History

Received: Apr 19, 2001
Accepted: May 8, 2002
Published online: Oct 15, 2002
Published in print: Nov 2002

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Authors

Affiliations

Rudy Gargano
Res., DiMSAT, Univ. degli Studi di Cassino, via G. Di Biasio n.43, I-03043 Cassino (FR), Italy.
Willi H. Hager, F.ASCE
Professor, VAW, ETH-Zentrum, CH-8092 Zurich, Switzerland.

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