Explicit Formulation of the Shields Diagram for Incipient Motion of Sediment
Publication: Journal of Hydraulic Engineering
Volume 132, Issue 10
Abstract
The Shields diagram remains the most widely used criterion for incipient motion of sediment. However its implicit nature makes applications rather inconvenient. By deploying Guo’s logarithmic matching method twice, this technical note develops an explicit formulation of the Shields diagram, enabling the critical Shields parameter to be determined directly from fluid and sediment characteristics without resorting to any trial and error procedure or iteration. An extended application of the logarithmic matching method is demonstrated.
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References
Brownlie, W. R. (1981). “Prediction of flow depth and sediment discharge in open-channels.” Rep. No. KK-R-43A, W. M. Kech Lab. Hydraulics and Water Resources, California Institute of Technology, Pasadena, Calif.
Buffington, J. (1999). “The legend of A. F. Shields.” J. Hydraul. Eng., 125(4), 376–387.
Buffington, J., and Montgomery, D. (1997). “A systematic analysis of eight decades of incipient motion studies, with special reference to gravel-bedded rivers.” Water Resour. Res., 33(8), 1993–2029.
Chien, N., and Wan, Z. (1999). Mechanics of sediment transport, ASCE, Reston, Va.
Graf, W. (1971). Hydraulics of sediment transport, McGraw-Hill, New York.
Guo, J. (2002). “Logarithmic matching and its application in computational hydraulics and sediment transport.” J. Hydraul. Res., 40(5), 555–566.
Raudkivi, A. (1976). Loose boundary hydraulics, 2nd Ed., Pergamon, Oxford, U.K.
Shvidchenko, A., and Pender, G. (2000). “Flume study of the effect of relative depth on the incipient motion of coarse uniform sediments.” Water Resour. Res., 36(2), 619–628.
Vajda, M. I. (1991). “Local resistance to turbulent flow over a rough bed.” Proc., Euromech. 262 on Sand Transport in Rivers, Estuaries and the Sea, R. Soulsby and R. Bettess, eds., Balkema, Rotterdam, The Netherlands, 53–59.
Yalin, M. S. (1977). Mechanics of sediment transport, Pergamon, Oxford, U.K.
Yalin, M. S., and da Silva, A. M. F. (2001). Fluvial processes, IAHR Monograph, IAHR, Delft, The Netherlands.
Yang, C. T. (1996). Sediment transport: Theory and practice, McGraw-Hill, New York.
Zhang, R., and Xie, J. (1990). River dynamics, China Water and Power, Beijing (in Chinese).
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 132 • Issue 10 • October 2006
Pages: 1097 - 1099
Copyright
© 2006 ASCE.
History
Received: Oct 7, 2003
Accepted: Oct 1, 2006
Published online: Oct 1, 2006
Published in print: Oct 2006
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