Asymmetric Flow in Symmetric Supercritical Expansions
Publication: Journal of Hydraulic Engineering
Volume 132, Issue 2
Abstract
A theory presented previously by the writer explained the asymmetric flow patterns occurring in symmetric rectangular expansions with subcritical flow. The theory is extended in the present paper to supercritical flows, in which the hydraulic jump is one of the flow features. The theory is shown to agree with available observations. Transverse oscillatory conditions are discussed in terms of a dynamic instability that can accompany static stability. The ranges for which experimental data are available with which to test the theory are identified, making it apparent where additional data would be useful for the full range of the problem. The phenomenological understanding provided by the present paper is important to the development of stabilization measures. In addition to stabilization by submergence, the hydraulic jump should be amenable to stabilization by other referenced methods, including various vane configurations and pipe communication between the eddy regions.
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References
Bremen, R. (1990). “Expanding stilling basin.” Doctor of Technical Sciences thesis, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland.
Brown, F. T., Graber, S. D., and Wallhagen, R. E. (1964). “Investigation of stability predictions of fluid-jet amplifier systems.” NASA Contractor Rep. NASA CR 54244, Massachusetts Institute of Technology, Cambridge, Mass.
Den Hartog, J. P. (1956). “Chapter 7: Self-excited vibrations.” Mechanical vibrations, 4th Ed., McGraw-Hill, New York.
Ferreri, G. B., and Nasello, C. (2002). “Hydraulic jumps at drop and abrupt enlargement in rectangular channel.” J. Hydraul. Res., 40(4), 491–505.
Graber, S. D. (1982). “Asymmetric flow in symmetric expansions.” J. Hydraul. Div., Am. Soc. Civ. Eng., 108(10), 1082–1101.
Graber, S. D. (2001). “Discussion of ‘Submerged hydraulic jumps below abrupt expansions,’ by I. Ohtsu, Y. Yasuda, and M. Ishikawa.” J. Hydraul. Eng., 127(1), 84.
Hager, W. H., and Mazumder, S. K. (1992). “Supercritical flow at abrupt expansions.” Proc. Inst. Civ. Eng., Waters. Maritime Energ. 96, 153–166.
Ippen, A. T. (1950). “Channel transitions and controls.” Engineering hydraulics, Hunter Rouse, ed., Wiley, New York, 559–562.
Kuznetsov, S. K. (1964). “Free horizontal spread of the streamflow in the tailwater of hydro structures.” Soviet Hydro Engineering, Israel Program for Scientific Translations, Jerusalem, 346–349.
Ohtsu, I., Yasuda, Y., and Ishikawa, M. (1999). “Submerged hydraulic jumps below abrupt expansions.” J. Hydraul. Eng., 125(5), 492–499.
Ohtsu, I., Yasuda, Y., and Ishikawa, M. (2001). “Closure to ‘Submerged hydraulic jumps below abrupt expansions,’ by I. Ohtsu, Y. Yasuda, and M. Ishikawa.” J. Hydraul. Eng., 127(1), 84–85.
Rajaratnam, N., and Subramanya, K. (1968). “Hydraulic jumps below abrupt symmetric expansions.” J. Hydraul. Div., Am. Soc. Civ. Eng., 94(2), 481–503.
Subramanya, K. (1967). “Some Studies on Turbulent Wall Jets in Hydraulic Engineering.” PhD thesis, Univ. of Alberta, Edmonton, Alta., Canada.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 132 • Issue 2 • February 2006
Pages: 207 - 213
Copyright
© 2006 ASCE.
History
Received: Apr 11, 2003
Accepted: Feb 9, 2005
Published online: Feb 1, 2006
Published in print: Feb 2006
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