Characteristics of Turbulent Flow in Submerged Jumps on Rough Beds
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Engineering Mechanics
Volume 134, Issue 1
Abstract
The results of an experimental investigation on the flow field in submerged jumps on horizontal rough beds, detected by an acoustic Doppler velocimeter, are presented. Experiments were conducted for the conditions of submerged jumps, having submergence factors from 0.96 to 1.85 and jet Froude numbers from 2.58 to 4.87, over rough beds of Nikuradse’s equivalent sand roughness equaling 0.49, 0.8, 1.86, and . The vertical distributions of time-averaged velocity components, turbulence intensity components, and Reynolds stress at different streamwise distances from the sluice opening and the horizontal distribution of bed-shear stress are plotted. Vector plots of the flow field show that the rate of decay of jet velocity in a submerged jump increases with increase in bed roughness. The flow characteristics on rough beds, being different from those on smooth bed, are discussed from the point of view of similarity, growth of the length scale, and decay of the velocity and turbulence characteristics scales. The most important observation is that the flow in the fully developed zone is found to be self-preserving.
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References
Dey, S., and Lambert, M. F. (2005). “Reynolds stress and bed shear in nonuniform unsteady open-channel flow.” J. Hydraul. Eng., 131(7), 610–614.
Dey, S., and Raikar, R. V. (2007). “Characteristics of loose rough boundary streams at near-threshold.” J. Hydraul. Eng., 133(3), 288–304.
Dey, S., and Sarkar, A. (2006). “Response of velocity and turbulence in submerged wall jets to abrupt changes from smooth to rough beds and its application to scour downstream of an apron.” J. Fluid Mech., 556, 387–419.
Ead, S. A., and Rajaratnam, N. (2002a). “Plane turbulent wall jets in shallow tailwater.” J. Eng. Mech., 128(2), 143–155.
Ead, S. A., and Rajaratnam, N. (2002b). “Hydraulic jumps on corrugated beds.” J. Hydraul. Eng., 128(7), 656–663.
Glauert, M. B. (1956). “The wall jet.” J. Fluid Mech., 1, 625–643.
Goring, D. G., and Nikora, V. I. (2002). “Despiking acoustic Doppler velocimeter data.” J. Hydraul. Eng., 128(1), 117–126.
Hager, W. H. (1992). Energy dissipators and hydraulic jump, Kluwer Academic, Dordrecht, The Netherlands.
Hughes, W. C., and Flack, J. E. (1984). “Hydraulic jump properties over a rough bed.” J. Fluid Mech., 110(12), 1755–1771.
Launder, B. E., and Rodi, W. (1981). “The turbulent wall jet.” Prog. Aerosp. Sci., 19, 81–128.
Launder, B. E., and Rodi, W. (1983). “The turbulent wall jet measurement and modeling.” Annu. Rev. Fluid Mech., 15, 429–459.
Long, D., Steffler, P. M., and Rajaratnam, N. (1990). “LDA study of flow structure in submerged hydraulic jump.” J. Hydraul. Res., 28(4), 437–460.
McCorquodale, J. A. (1986). “Hydraulic jumps and internal flows.” Encyclopedia of fluid mechanics, N. P. Cheremisinoff, ed., Vol. 2, Gulf, Houston, Tex., 120–173.
Narayanan, R. (1975). “Wall jet analogy to hydraulic jump.” J. Hydraul. Eng., 101(3), 347–359.
Rajaratnam, N. (1965). “The hydraulic jump as a wall jet.” J. Hydraul. Eng., 91(5), 107–132.
Rajaratnam, N. (1967a). “Hydraulic jumps.” Advances in Hydroscience, Vol. 4, Academic Press, New York, 197–280.
Rajaratnam, N. (1967b). “Plane turbulent wall jets on rough boundaries.” Water Power, 19, 149–153.
Rajaratnam, N. (1968). “Hydraulic jumps on rough beds.” Trans. Eng. Inst. Canada, 11(A-2), 1–8.
Rajaratnam, N. (1976). Turbulent jets, Elsevier Science, Amsterdam, The Netherlands.
Schwarz, W. H., and Cosart, W. P. (1961). “The two-dimensional turbulent wall-jet.” J. Fluid Mech., 10, 481–495.
Song, T., Graf, W. H., and Lemmin, U. (1994). “Uniform flow in open channels with movable gravel bed.” J. Hydraul. Res., 32(6), 861–876.
Tachie, M. F., Balachandar, R., and Bergstrom, D. J. (2004). “Roughness effects on turbulent plane wall jets in an open channel.” Exp. Fluids, 37(2), 281–292.
Wahl, L. T. (2003). “Discussion of ‘Despiking acoustic Doppler velocimeter data’ by D. G. Goring and V. I. Nikora.” J. Hydraul. Res., 129(6), 484–487.
Wiberg, P. L., and Smith, J. D. (1987). “Calculations of the critical shear stress for motion of uniform and heterogeneous sediments.” Water Resour. Res., 23(8), 1471–1480.
Wu, S., and Rajaratnam, N. (1995). “Free jumps, submerged jumps, and wall jets.” J. Hydraul. Res., 33(2), 197–212.
Wygnanski, I., Katz, Y., and Horev, E. (1992). “On the applicability of various scaling laws to the turbulent wall jet.” J. Fluid Mech., 234, 669–690.
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© 2008 ASCE.
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Received: Feb 23, 2005
Accepted: Jul 16, 2007
Published online: Jan 1, 2008
Published in print: Jan 2008
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Note. Associate Editor: Brett F. Sanders
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