Undular Tidal Bores: Basic Theory and Free-Surface Characteristics
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 11
Abstract
The present study examines the free-surface properties of undular tidal bores observed for . The analysis is based on some new experimental results together with a reanalysis of both field and laboratory data. The free-surface profiles followed a pattern somehow similar to the sinusoidal and cnoidal wave shapes, although neither captures the fine details of the undulation profiles. The wave properties highlighted some maxima in amplitude and steepness for a Froude number of about 1.3–1.4 corresponding to the apparition of some wave breaking at the first wave crest.
Get full access to this article
View all available purchase options and get full access to this article.
References
Andersen, V. M. (1978). “Undular hydraulic jump.” J. Hydr. Div., 104(HY8), 1185–1188; “Discussion.” 105(HY9), 1208–1211.
Benet, F., and Cunge, J. A. (1971). “Analysis of experiments on secondary undulations caused by surge waves in trapezoidal channels.” J. Hydraul. Res., 9(1), 11–33.
Benjamin, T. B., and Lighthill, M. J. (1954). “On cnoidal waves and bores.” Proc. R. Soc. London, Ser. A, 224(1159), 448–460.
Chanson, H. (1999). The hydraulics of open channel flows: An introduction, Edward Arnold, London.
Chanson, H. (2005). “Physical modelling of the flow field in an undular tidal bore.” J. Hydraul. Res., 43(3), 234–244.
Chanson, H. (2009). “An experimental study of tidal bore propagation: The impact of bridge piers and channel constriction.” Hydraulic Model Report No. CH74/09, School of Civil Engineering, The Univ. of Queensland, Brisbane, Australia.
Chanson, H. (2010). “Unsteady turbulence in tidal bores: The effects of bed roughness.” J. Waterway, Port, Coastal, Ocean Eng., 136(5), 247–256.
Chanson, H., and Montes, J. S. (1995). “Characteristics of undular hydraulic jumps. Experimental apparatus and flow patterns.” J. Hydraul. Eng., 121(2), 129–144.
Donnelly, C., and Chanson, H. (2005). “Environmental impact of undular tidal bores in tropical rivers.” Environ. Fluid Mech., 5(5), 481–494.
Favre, H. (1935). Etude théorique et expérimentale des ondes de translation dans les canaux découverts (Theoretical and experimental study of travelling surges in open channels), Dunod, Paris (in French).
Henderson, F. M. (1966). Open channel flow, MacMillan Company, New York.
Koch, C., and Chanson, H. (2008). “Turbulent mixing beneath an undular bore front.” J. Coastal Res., 24(4), 999–1007.
Koch, C., and Chanson, H. (2009). “Turbulence measurements in positive surges and bores.” J. Hydraul. Res., 47(1), 29–40.
Lemoine, R. (1948). Sur les ondes positives de translation dans les canaux et sur le ressaut ondulé de faible amplitude (On the positive surges in channels and on the undular jumps of low wave height), La Houille Blanche, France, 183–185 (in French).
Lewis, A. W. (1972). “Field studies of a tidal bore in the River Dee.” M.S. thesis, Marine Science Laboratories, Univ. College of North Wales, Bangor, U.K.
Liggett, J. A. (1994). Fluid mechanics, McGraw-Hill, New York.
Montes, J. S. (1986). “A study of the undular jump profile.” Proc., 9th Australasian Fluid Mechanics Conf. (AFMC), Univ. of Auckland, Auckland, New Zealand, 148–151.
Montes, J. S., and Chanson, H. (1998). “Characteristics of undular hydraulic jumps. Results and calculations.” J. Hydraul. Eng., 124(2), 192–205.
Navarre, P. (1995). “Aspects physiques du caracteres ondulatoire du Macaret en Dordogne (Physical features of the undulations of the Dordogne River tidal bore).” D.E.A. thesis, Univ. of Bordeaux, France (in French).
Peregrine, D. H. (1966). “Calculations of the development of an undular bore.” J. Fluid Mech., 25, 321–330.
Treske, A. (1994a). “Undular bores (Favre-waves) in open channels—Experimental studies.” J. Hydraul. Res., 32(3), 355–370; “Discussion.” 33(3), 274–278.
Wolanski, E., Williams, D., Spagnol, S., and Chanson, H. (2004). “Undular tidal bore dynamics in the Daly Estuary, Northern Australia.” Estuarine Coastal Shelf Sci., 60(4), 629–636.
Information & Authors
Information
Published In
Copyright
© 2010 ASCE.
History
Received: Aug 11, 2009
Accepted: Apr 23, 2010
Published online: Apr 27, 2010
Published in print: Nov 2010
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.