Velocity Distribution in the Roughness Layer of Rough-Bed Flows
Publication: Journal of Hydraulic Engineering
Volume 130, Issue 10
Abstract
Several models for the vertical distribution of the double-averaged (in time and in the plane parallel to the mean bed) longitudinal velocity in the flow region between roughness troughs and roughness tops are suggested. We found that the same model for velocity distribution may be applicable to a range of flow conditions and roughness types, which share some common features. The suggested models for velocity distribution in the near-bed region are: (1) Constant velocity; (2) exponential velocity distribution; and (3) linear velocity distribution. The measured velocity distributions may be approximated by a single model or by a combination of models depending on roughness geometry and flow conditions. The validity of these models for velocity distribution is supported by laboratory data.
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References
1.
Barrantes, A. I., and Madsen, O. S. (2000). “Near-bottom flow and flow resistance for currents obliquely incident to two-dimensional roughness elements.” J. Geophys. Res., [Oceans], 105(C11), 26,253–26,264.
2.
Dittrich, A., Nestmann, F., and Ergenzinger, P. ( 1996). “Ratio of lift and shear forces over rough surfaces.” Coherent flow structures in open channels, P. J. Ashworth, S. J. Bennett, J. L. Best, and S. J. McLelland, eds., Wiley, Chichester, U.K., 125–146.
3.
Dittrich, A., and Koll, K. (1997). “Velocity field and resistance of flow over rough surface with large and small relative submergence.” Int. J. Sediment Res., 12(3), 21–33.
4.
Finnigan, J.J. ( 1985). “Turbulent transport in flexible plant canopies.” The forest–atmosphere interactions, B. A. Hutchinson and B. B. Hicks eds., Reidel, Dordrecht, The Netherlands, 443–480.
5.
Finnigan, J. J. (2000). “Turbulence in plant canopies.” Annu. Rev. Fluid Mech., 32, 519–571.
6.
Gimenez-Curto, L. A., and Corniero Lera, M. A. (1996). “Oscillating turbulent flow over very rough surfaces.” J. Geophys. Res., [Oceans], 101(C9), 20,745–20,758.
7.
Gimenez-Curto, L. A., and Corniero Lera, M. A. (2003). “Highest natural bed forms.” J. Geophys. Res., [Oceans], 108(C2), 3046.
8.
Hsu, T.-J., Sakakiyama, T., and Liu, P. L.-F. (2002). “A numerical model for wave motions and turbulent flows in front of a composite breakwater.” Coastal Eng., 46, 25–50.
9.
Kaimal, J.C., and Finnigan, J.J. ( 1994). Atmospheric boundary layer flows, Oxford University Press, New York.
10.
Katul, G., Wiberg, P., Albertson, J., and Hornberger, G. (2002). “A mixing layer theory for flow resistance in shallow streams.” Water Resour. Res., 38(11), 32/1–32/8.
11.
Lopez, F., and Garcia, M. H. (2001). “Mean flow and turbulence structure of open-channel flow through non-emergent vegetation.” J. Hydraul. Eng., 127(5), 392–402.
12.
McLean, S. R., Wolfe, S. R., and Nelson, J. M. (1999). “Spatially averaged flow over a wavy boundary revisited.” J. Geophys. Res., [Oceans], 104(C7), 15,743–15,753.
13.
Nepf, H. M., and Vivoni, E. R. (2000). “Flow structure in depth-limited, vegetated flow.” J. Geophys. Res., [Oceans], 105(C12), 28,547–28,557.
14.
Nikora, V. I., Goring, D. G., McEwan, I., and Griffiths, G. (2001). “Spatially averaged open-channel flow over rough bed.” J. Hydraul. Eng., 127(2), 123–133.
15.
Nikora, V., and McLean, S. ( 2001). “Environmental flows over rough beds: A spatial averaging approach.” Proc., 3rd Int. Symp. on Environmental Hydraulics, (CD-ROM).
16.
Nikora, V., Goring, D., and Biggs, B. (2002a). “Some observations of the effects of microorganisms growing on the bed of an open channel on the turbulence properties.” J. Fluid Mech., 250, 317–341.
17.
Nikora, V., Koll, K., McLean, S., Dittrich, A., and Aberle, J. ( 2002b). “Zero-plane displacement for rough-bed open-channel flows.” Proc., Int. Conf. on Fluvial Hydraulics “River Flow 2002”, Vol. 1, Louvain-la-Neuve, Belgium, 83–92.
18.
Raupach, M. R., and Thom, A. S. (1981). “Turbulence in and above plant canopies.” Annu. Rev. Fluid Mech., 13, 97–129.
19.
Raupach, M. R., and Shaw, R. H. (1982). “Averaging procedures for flow within vegetation canopies.” Boundary-Layer Meteorol., 22, 79–90.
20.
Raupach, M. R., Antonia, R. A., and Rajagopalan, S. (1991). “Rough-wall turbulent boundary layers.” Appl. Mech. Rev., 44(1), 1–25.
21.
Raupach, M. R., Finnigan, J. J., and Brunet, Y. (1996). “Coherent eddies and turbulence in vegetation canopies: The mixing layer analogy.” Boundary-Layer Meteorol., 78, 351–382.
22.
Rowinski, P.M., and Kubrak, J. ( 2002a). “Velocity profiles on vegetated flood plains.” Proc., Int. Conf. on Fluvial Hydraulics “River Flow 2002”, Vol. 1, Louvain-la-Neuve, Belgium, 303–309.
23.
Rowinski, P. M., and Kubrak, J. (2002b). “A mixing-length model for predicting vertical velocity distribution in flows through emergent vegetation.” Hydrol. Sci. J., 47(6), 893–904.
24.
Smith, J. D., and McLean, S. R. (1977). “Spatially averaged flow over a wavy surface.” J. Geophys. Res., 82(12), 1735–1746.
25.
Sumer, B. M., Cokgor, S., and Fredsoe, J. (2001). “Suction removal of sediment from between armor blocks.” J. Hydraul. Eng., 127(4), 293–306.
26.
Wilson, N. R., and Shaw, R. H. (1977). “A higher-order closure model for canopy flow.” J. Appl. Meteorol., 16, 1197–1205.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 130 • Issue 10 • October 2004
Pages: 1036 - 1042
Copyright
Copyright © 2004 ASCE.
History
Published online: Oct 1, 2004
Published in print: Oct 2004
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