Maximum Velocity and Regularities in Open-Channel Flow
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Hydraulic Engineering
Volume 128, Issue 4
Abstract
Maximum velocity in a channel section often occurs below the water surface. Its location is linked to the ratio of the mean and maximum velocities, velocity distribution parameter, location of mean velocity, energy and momentum coefficients, and probability density function underpinning a velocity distribution equation derived by applying the probability and entropy concepts. The mean value of the ratio of the mean and maximum velocities at a given channel section is stable and constant, and invariant with time and discharge. Its relationship with the others in turn leads to formation of a network of related constants that represent regularities in open-channel flows and can be used to ease discharge measurements and other tasks in hydraulic engineering. Under the probability concept, the ratio of mean and maximum velocities being constant means that the probability distribution underpinning the velocity distribution and other related variables is resilient, and that the same probability distribution is governing various phenomena observable at a channel section and explains the regularities in open-channel flows.
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References
Bridge, J. S., and Jarvis, J. (1985). “Flow and sediment transport data, River South Esk, Glen Glova, Scotland.” Rep., Dept. of Geological Sciences, State Univ. of New York, Binghamton, N.Y.
Chiu, C.-L., and Lin, G.-F.(1983). “Computation of 3-D flow and shear in open channels.” J. Hydraul. Eng., 109(11), 1424–1440.
Chiu, C.-L., and Chiou, J.-D.(1986). “Structure of 3-D flow in rectangular open channels.” J. Hydraul. Eng., 112(11), 1050–1068.
Chiu, C.-L.(1989). “Velocity distribution in open channel flow.” J. Hydraul. Eng., 115(5), 576–594.
Chiu, C.-L., and Said, A. A.(1995). “Maximum and mean velocities in open-channel flow.” J. Hydraul. Eng., 121(1), 26–35.
Chiu, C.-L. (1996). “Natural law of open-channel flow.” Stochastic Hydraulics ’96, K. S. Tickle et al., eds., A. A. Balkema, Rotterdam, 15–27.
Chiu, C.-L., and Chen, Y.-C. (1999a). “Efficient methods of measuring discharge and reservoir-sediment inflow.” Risk Analysis in Dam Safety Assessment, J.-T. Kuo and B.-C. Yen, eds., Water Resources Pub., Inc., Highlands Ranch, Colo., 97–116.
Chiu, C.-L., and Chen, Y.-C. (1999b). “Flow structure and discharge measurement in Tanshui River under tidal effect.” Proc., ASCE 1999 International Water Resources Engineering, Seattle.
Chiu, C.-L., Jin, W., and Chen, Y.-C.(2000). “Mathematical models of distribution of sediment concentration.” J. Hydraul. Eng., 126(1), 16–23.
Chow, V. T. (1959). Open-Channel Hydraulics, McGraw-Hill, New York.
Francis, J. B. (1878). “On the cause of the maximum velocity of water flowing in open channels being below the surface.” Trans. Am. Soc. Civ. Eng., May.
Gordon, L. (1992). Mississippi river discharge. RD Instruments, San Diego, Calif.
Jaynes, E. T.(1957). “Information theory and statistical mechanics I.” Phys. Rev., 106, 620–630.
Knight, D. W., and Sterling, M.(2000). “Boundary shear in circular pipes running partially full.” J. Hydraul. Eng., 126(4), 263–275.
Leopold, L. B., and Langbein, W. B. (1962). “The concept of entropy in landscape evolution.” Geological Survey Professional Paper 500-A, U.S. Government Printing Office, Washington, D.C.
Leopold, L. B., Wolman, M. G., and Miller, J. P. (1995). Fluvial processes in geomorphology. Dover, New York.
Shannon, C. E.(1948). “A mathematical theory of communication.” Bell Syst. Tech. J., 27, 623–656.
Stearns, F. P. (1883). “On the current meter, together with a reason why the maximum velocity of water flowing in open channel is below the surface.” Trans. Am. Soc. Civ. Eng., August.
Yen, B. C. (1965). “Characteristics of subcritical flow in a meandering channel.” Technical Report, Institute of Hydrolic Research, University of Iowa, Iowa City, Iowa.
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Published In
Journal of Hydraulic Engineering
Volume 128 • Issue 4 • April 2002
Pages: 390 - 398
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Feb 22, 2001
Accepted: Aug 14, 2001
Published online: Apr 1, 2002
Published in print: Apr 2002
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