Momentum Considerations in Hydraulic Jumps and Bores
Publication: Journal of Irrigation and Drainage Engineering
Volume 138, Issue 4
Abstract
A hydraulic jump is the turbulent transition from a high velocity into a slower flow. A related process is the hydraulic jump in translation. The application of the equations of conservation of mass and momentum in their integral form yields a series of relationships between the flow properties in front of and behind the jump. The effects of the cross-sectional shape and bed friction are investigated. The effect of the flow resistance yields a smaller ratio of conjugate cross-section areas for a given Froude number. The solutions are tested with some field measurements of tidal bores in natural channels, illustrating the range of cross-sectional properties in natural systems and irregular channels.
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References
Bélanger, J. B. (1841). “Notes sur l’hydraulique.” Notes on hydraulic engineering, Ecole Royale des Ponts et Chaussées, Paris (in French).
Chanson, H. (2004). The hydraulics of open channel flow: An introduction, 2nd Ed., Butterworth-Heinemann, Oxford, UK.
Chanson, H. (2009). “Development of the Bélanger equation and backwater equation by Jean-Baptiste Bélanger (1828).” J. Hydraul. Eng.JHEND8, 135(3), 159–163.
Chanson, H., Reungoat, D., Simon, B., and Lubin, P. (2011). “High-frequency turbulence and suspended sediment concentration measurements in the Garonne River tidal bore.” Estuarine Coastal Shelf Sci.ECSSD3, 95(2–3), 298–306.
Chow, V. T. (1973). Open channel hydraulics, McGraw-Hill International, New York.
Henderson, F. M. (1966). Open channel flow, MacMillan, New York.
Leutheusser, H. J., and Schiller, E. J. (1975). “Hydraulic jump in a rough channel.” Water Power Dam Constr., 27(5), 186–191.
Lamb, H. (1932). Hydrodynamics, 6th Ed., Cambridge University Press, Cambridge, UK.
Liggett, J. A. (1994). Fluid mechanics, McGraw-Hill, New York.
Lighthill, J. (1978). Waves in fluids, Cambridge University Press, Cambridge, UK.
Mouazé, D., Chanson, H., and Simon, B. (2010). “Field measurements in the tidal bore of the Sélune River in the Bay of Mont Saint Michel (September 2010).” Hydraulic Model Rep. No. CH81/10, School of Civil Engineering, Univ. of Queensland, Brisbane, Australia.
Pagliara, S., Lotti, I., and Palermo, M. (2008). “Hydraulic jump on rough bed of stream rehabilitation structures.” J. Hydro-Environ. Res., 2(1), 29–38.
Rayleigh, Lord (1914). “On the theory of long waves and bores.” Proc. R. Soc. London, Ser. A, PRLAAZ90(619), 324–328.
Simpson, J. H., Fisher, N. R., and Wiles, P. (2004). “Reynolds stress and TKE production in an estuary with a tidal bore.” Estuarine Coastal Shelf Sci.ECSSD3, 60(4), 619–627.
Wolanski, E., Williams, D., Spagnol, S., and Chanson, H. (2004). “Undular tidal bore dynamics in the Daly Estuary, Northern Australia.” Estuarine Coastal Shelf Sci.ECSSD3, 60(4), 629–636.
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© 2012. American Society of Civil Engineers.
History
Received: Jan 31, 2011
Accepted: Aug 17, 2011
Published online: Aug 19, 2011
Published in print: Apr 1, 2012
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