Modified Logarithmic Law for Velocity Distribution Subjected to Upward Seepage
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 12
Abstract
A modified logarithmic law is derived to describe the velocity distribution in open-channel flow with an upward seepage. The derived function agrees well with the experimental measurements conducted in a laboratory flume. The roughness function included in the modified logarithmic law is found to be dependent on the boundary Reynolds number and the ratio of the seepage velocity to the shear velocity. With the integration of the modified logarithmic law, the bed-shear stress subjected to upward seepage can be computed based on the depth-averaged velocity, water depth, boundary roughness, and seepage velocity. Using this method, variations of the bed-shear stress over the seepage zone are studied. The results show that the bed-shear stress decreases rapidly from the leading section of the seepage zone and then increases gradually toward the downstream end of the seepage zone.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Cheng, N. S. (1997). “Seepage effect on open-channel flow and incipient sediment motion,” PhD thesis, Nanyang Technological University, Singapore.
2.
Clarke, J. H., Menkes, H. R., and Libby, P. A.(1955). “A provisional analysis of turbulent boundary layers with injection.”J. Aerospace Sci., 22(4), 255–260.
3.
Coles, D.(1956). “The law of the wake in the turbulent boundary layer.”J. Fluid Mech., Cambridge, U.K., 1, 191–226.
4.
Hinze, J. O. (1975). Turbulence, 2nd Ed., McGraw-Hill, Inc., New York.
5.
Maclean, A. G.(1991). “Open channel velocity profiles over a zone of rapid infiltration.”J. Hydr. Res., Delft, The Netherlands, 29(1), 15–27.
6.
Nakagawa, H., Nezu, I., and Ueda, H.(1975). “Turbulence of open channel flow over smooth and rough beds.”Proc., JSCE, Tokyo, Japan, 241, 155–168.
7.
Nikuradse, J. (1933). “Stromungsgesetze in rauhen Rohren.”Forschg. Geb. d. Ing.-Wesens, Heft 361 (in German).
8.
Raudkivi, A. J. (1990). Loose boundary hydraulics, 3rd Ed., Pergamon Press, Inc., Oxford, U.K.
9.
Rodi, W. (1993). Turbulence models and their application in hydraulics: A state-of-art review, 3rd Ed., IAHR Monograph, A. A. Balkema, Rotterdam, The Netherlands.
10.
Schlichting, H. (1979). Boundary layers theory. 7th Ed., McGraw-Hill, Inc., New York.
11.
Stevenson, T. N. (1963). “A law of the wall for turbulent boundary layers with suction or injection.”Cranfield Rep. Aero. No. 166, The College of Aeronautics.
12.
Townsend, A. A. (1976). The structure of turbulent shear flow, 2nd Ed., Cambridge University Press, London.
13.
van Driest, E. R.(1956). “On turbulent flow near the wall.”J. Aeronautical Sci., 23, 1007–1011.
14.
Willetts, B. B., and Drossos, M. E.(1975). “Local erosion caused by rapid forced infiltration.”J. Hydr. Div., ASCE, 101(12), 1477–1488.
15.
Yalin, M. S. (1977). Mechanics of sediment transport, 2nd Ed., Pergamon Press, Inc., Oxford, U.K.
16.
Yalin, M. S. (1992). River mechanics. Pergamon Press, Inc., Oxford, U.K.
17.
Young, A. D. (1989). Boundary layers. BSP Professional Books, Oxford, U.K.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 124 • Issue 12 • December 1998
Pages: 1235 - 1241
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Dec 1, 1998
Published in print: Dec 1998
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.