Technical Papers
Apr 1, 2013

Radial Jet and Hydraulic Jump in a Circular Basin

Publication: Journal of Engineering Mechanics
Volume 140, Issue 1

Abstract

An analysis of the supercritical spreading of radial flow in a horizontal basin indicates that the variation of depth, velocity, and Froude number normalized by corresponding inlet values becomes independent of the inlet Froude number F0 when F0>5, both for inviscid and viscous flows. Assuming a linear variation of the hydrostatic pressure force along the hydraulic jump, a generalized equation for the sequent depth ratio is developed, which is valid for the free and submerged jumps both in radial and rectangular basins. This is simpler than existing equations and is verified with experimental data available in the literature. A new scale is proposed such that the sequent depth ratio for different F0 and the radius ratio collapse into a single line. A procedure to approximately locate the position of a free radial jump and determine the type of the jump is also described.

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Acknowledgments

This research is funded by the Natural Sciences and Engineering Research Council (NSERC) of Canada.

References

Khalifa, A., and McCorquodale, J. (1979). “Radial hydraulic jump.” J. Hydr. Div., 105(9), 1065–1078.
Koloseus, H., and Ahmad, D. (1969). “Circular hydraulic jump.” J. Hydr. Div., 95(1), 409–422.
McCorquodale, J., and Khalifa, A. (1980). “Submerged radial hydraulic jump.” J. Hydr. Div., 106(3), 355–367.
Negm, A., Abdel-Aal, G., Elfiky, M., and Mohamed, Y. (2003). “Characteristics of submerged hydraulic jumps in radial basins with a vertical drop in the bed.” Alexandria Engineering Journal, 42(1), 65–75.
Rajaratnam, N. (1965). “Submerged hydraulic jump.” J. Hydr. Div, 91(4), 71–96.
Vallentine, H. (1967). “Radial flow on a horizontal channel.” La Houille Blanche, 3, 279–282.
Watson, E. (1964). “The radial spread of a liquid jet over a horizontal plane.” J. Fluid Mech., 20(03), 481–499.
Zobeyer, H., Jahan, N., Islam, Z., Singh, G., and Rajaratnam, N. (2010). “Turbulence characteristics in the transition from hydraulic jump to open channel flow.” J. Hydraul. Res., 48(3), 395–399.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 1January 2014
Pages: 128 - 133

History

Received: Sep 11, 2012
Accepted: Mar 22, 2013
Published online: Apr 1, 2013
Published in print: Jan 1, 2014

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Authors

Affiliations

Hasan Zobeyer [email protected]
Postdoctoral Fellow, Dept. of Civil and Environmental Engineering, Univ. of Alberta, Edmonton, AB, Canada T6G 2W2. E-mail: [email protected]
Nallamuthu Rajaratnam, F.ASCE [email protected]
Professor Emeritus, Dept. of Civil and Environmental Engineering, Univ. of Alberta, Edmonton, AB, Canada T6G 2W2 (corresponding author). E-mail: [email protected]
David Z. Zhu, M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of Alberta, Edmonton, AB, Canada T6G 2W2. E-mail: [email protected]

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