TECHNICAL PAPERS
Oct 1, 2006

Errors in the Bed Shear Stress as Estimated from Vertical Velocity Profile

Publication: Journal of Irrigation and Drainage Engineering
Volume 132, Issue 5

Abstract

In this study, errors in determining bed shear stress caused by errors in theoretical bed surface data or roughness size selection using one-point velocity, two-point velocity, or a group of velocity measurements within the log-velocity region are systematically and quantitatively analyzed. The smaller the roughness element, the smaller the error in the bed shear stress estimate. For a fixed roughness size and absolute error in selecting the theoretical bed data, the closer to the bed the velocity measurement is taken, the larger the error in the friction velocity estimate. The velocity profile near the bed is very sensitive to the selection of the theoretical bed surface data. The velocity profile near the bed will deviate significantly from the true log profile if the theoretical bed surface data is over- or underestimated by 5mm or more. This study shows conclusively that using the upper measurement data points, instead of the near-bed measurement, in the regression analysis yields better roughness size and bed shear stress estimates.

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Acknowledgment

The authors thank Mr. L. K. Fong from the Maritime Research Centre, Nanyang Technological University, for his assistance in the experiments.

References

Balachandar, R., Blakely, D., and Bugg, J. (2002). “Friction velocity and power law velocity profile in smooth and rough shallow open channel flows.” Can. J. Civ. Eng., 29(2), 256–266.
Bayazit, M. (1976). “Free surface flow in a channel of large relative roughness.” J. Hydraul. Res., 14(2), 115–125.
Bayazit, M. (1983). “Flow structure and sediment transport mechanics in steep channels.” Proc., Euromech 156: Mechanics of Sediment Transport, Balkema, Rotterdam, 197–206.
Bergeron, N. E., and Abrahams, A. D. (1992). “Estimating shear velocity and roughness length from velocity profiles.” Water Resour. Res., 28(8), 2155–2158.
Biron, P. M., Lane, S. N., Roy, A. G., Bradbrook, K. F., and Richards, K. S. (1998). “Sensitivity of bed shear stress estimated from vertical velocity profiles: The problem of sampling resolution.” Earth Surf. Processes Landforms, 23(2), 133–139.
Cardoso, A. H., Graf, W. H., and Gust, G. (1989). “Uniform flow in a smooth open channel.” J. Hydraul. Res., 27(5), 603–616.
Charlton, F., Brown, P. M., and Benson, R. W. (1978). “The hydraulic geometry of some gravel rivers in Britain.” Rep. IT 180, Hydraulics Research Ltd., Wallingford, England.
Einstein, H. A., and El-Samni, A. (1949). “Hydrodynamic forces on a rough wall.” Rev. Mod. Phys., 21(3), 520–524.
Engelund, F., and Hansen, E. (1972). “A monograph on sediment transport in alluvial streams.” Teknisk Forlag, Copenhagen, 62.
Ferguson, R. I., and Ashworth, P. J. (1992). “Spatial patterns of bedload transport and channel change in braided and near-braided rivers.” In Billi, P., Hey, R. D., Thorne, C. R., and Tacconi, P., eds., Dynamics of gravel-bed rivers, Wiley, Chichester, 477–496.
Ferro, V., and Baiamonte, G. (1994). “Flow velocity profiles in gravel-bed rivers.” J. Hydraul. Eng., 120(1), 60–80.
Ikeda, S. (1983). “Experiments on bedload transport, bedforms and sedimentary structures using fine gravel in 4 meter wide flume.” Environmental Research Center Papers, no. 2, Univ. of Tsukuba.
Jackson, P. S. (1981). “On the displacement height in the logarithmic velocity profile.” J. Fluid Mech., 11(1), 15–25.
Kamphuis, J. M. (1974). “Determination of sand roughness for fixed beds.” J. Hydraul. Res., 14(2), 193–201.
Nikora, V., Goring, D., McEwan, I., and Griffiths, G. (2001). “Spatially averaged open-channel flow over rough bed.” J. Hydraul. Eng., 127(2), 123–133.
Perlin, A., and Kit, E. (2002). “Apparent roughness in wave-current flow: Implication for coastal studies.” J. Hydraul. Eng., 128(8), 729–741.
Robert, A. (1990). “Boundary roughness in coarse-grained channels.” Prog. Phys. Geogr., 4, 42–70.
Simons, D. B., and Richardson, E. V. (1966). “The effect of bed roughness on depth discharge relations in alluvial channels.” USGS Water Supply Paper 1498-E, USGS, Reston, Va.
Smart, G. M. (1999). “Turbulent velocity profiles and boundary shear in gravel bed rivers.” J. Hydraul. Eng., 125(2), 106–116.
Song, T., and Chiew, Y. M. (2001). “TURBULENCE: Turbulence measurement in nonuniform open-channel flow using acoustic Doppler velocimeter (ADV).” J. Eng. Mech., 127(3), 219–232.
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.
Van Rijn, L. C. (1982). “Equivalent roughness of alluvial bed.” J. Hydr. Div., 108(10), 1215–1218.
Wang, X. K., and Qian, N. (1989). “Turbulence characteristics of sediment-laden flow.” J. Hydraul. Eng., 115(6), 781–800.
Whiting, P. J., and Dietrich, W. E. (1990). “Boundary shear stress and roughness over mobile alluvial beds.” J. Hydraul. Eng., 116(2), 1495–1511.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 132Issue 5October 2006
Pages: 490 - 497

History

Received: Jul 2, 2004
Accepted: Jan 3, 2006
Published online: Oct 1, 2006
Published in print: Oct 2006

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Authors

Affiliations

Guoliang Yu
Professor, Dept. of Harbor and Coastal Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong Univ., Shanghai, China 200030.
Soon-Keat Tan
Associate Professor and Director, Maritime Research Centre, Nanyang Technological Univ., Singapore 639798.

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