TECHNICAL NOTES
Feb 1, 2008

Characteristic Velocity of Stream Bed Movement

Publication: Journal of Hydrologic Engineering
Volume 13, Issue 2

Abstract

Assuming quasi-steady flow, the characteristic velocity of stream bed movement and the relation between the depth of the moving gravel layer and the water depth are derived for both diffusion wave and kinematic wave approximations. The characteristic velocity relation is verified using field data and is compared with the relation derived by Weir in 1983.

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References

Bagnold, R. A. (1980). “An empirical correlation of bed load transport rates in flumes and natural rivers.” Proc. R. Soc. London, Ser. A, 372, 453–473.
De Vries, M. (1965). “Considerations about non-steady bed load transport in open channels.” Proc., 11th Int. Congress, Int. Association for Hydraulic Research, Delft, The Netherlands, 3.8.1–3.8.1l.
De Vries, M. (1971). “Solving river problems by hydraulic and mathematical models.” Publication No. 7611, Delft Hydraulic Laboratory, Delft, The Netherlands.
De Vries, M. (1973). “Riverbed variations—Aggradation and degradation.” Proc., Int. Seminar on Hydraulics of Alluvial Streams, Int. Association for Hydraulic Research, New Delhi, India.
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Gradowcyzk, M. H. (1968). “Wave propagation and boundary instability in erodible-bed channels.” J. Fluid Mech., 33, 93–112.
Langbein, W. B., and Leopold, L. B. (1968). “River channel bars and dunes—Theory of kinematic waves.” Geological Survey Professional Paper No. 422-L, L1–L19.
Leliavsky, S. (1955). An introduction to fluvial hydraulics, Constable and Co., London.
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Lyn, D. A., and Altinakar, M. (2002). “St. Venant-Exner equations for near-critical and transcritical flows.” J. Hydraul. Eng., 128(6), 579–587.
Morris, P. H., and Williams, D. J. (1996). “Relative celerities of mobile bed flows with finite solids concentrations.” J. Hydraul. Eng., 122(6), 311–315.
Singh, V. P. (1996). Kinematic wave modelling in water resources: Surface water hydrology, Wiley, New York.
Tayfur, G., and Singh, V. P. (2006). “Kinematic wave model of bed forms in alluvial channels.” Water Resour. Res., 42(W06414), 1–13.
Weir, G. J. (1983). “One-dimensional bed wave movement in rowland rivers.” Water Resour. Res., 19(3), 627–631.

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Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 13Issue 2February 2008
Pages: 96 - 100

History

Received: Jan 17, 2006
Accepted: Jan 9, 2007
Published online: Feb 1, 2008
Published in print: Feb 2008

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Authors

Affiliations

Vijay P. Singh, F.ASCE
Caroline and William N. Lehrer Distinguished Chair in Water Engineering, Dept. of Biological and Agricultural Engineering, Texas A&M Univ., College Station, TX 77843-2117. E-mail: [email protected]
C. S. P. Ojha
Professor, Dept. of Civil Engineering, Indian Institute of Technology, Roorkee, 247 667 Uttaranchal, India.

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