TECHNICAL NOTES
Mar 1, 2000

Detailed Study of Binary Law for Open Channels

Publication: Journal of Hydraulic Engineering
Volume 126, Issue 3

Abstract

This paper presents a generalized version of the binary velocity distribution law, which combines the logarithmic law of the inner region with the parabolic law of the outer region. This combination is extended for cases of flow where the maximum velocity occurs at some distance below the free surface in a vertical. The study uses the data collected at the Indian Institute of Science over a long period for all of the four regimes of turbulent open channel flow, namely, subcritical smooth, supercritical smooth, subcritical rough, and supercritical rough. The various conditions and limitations at the junction point of the inner and outer region are derived and discussed in this paper. It is shown that the velocity distribution for the flows of narrow open channels can be described by the logarithmic law for the inner region and the parabolic law for the outer region, but the conditions at the junction point will not always be the same.

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References

1.
Allen, J. (1934). “Streamline and turbulent flow in open channels.” J. Sci., 7, June.
2.
Cardoso, A. H., Graf, W. H., and Gust, G. (1989). “Uniform flow in a smooth open channel.”J. Hydr. Res., Delft, The Netherlands, 27(5), 603–616.
3.
Hinze, J. O. (1975). Turbulence. McGraw-Hill, New York.
4.
Keulegan, G. H. (1938). “Laws of turbulent flow in open channels.” J. Res., Nat. Bureau of Standards, 21, 707–741.
5.
Lakshminarayana, P. ( 1980). “Velocity and shear distributions in smooth rectangular open channels with small aspect ratios,” PhD thesis, Indian Institute of Science, Bangalore, India.
6.
Nezu, I., Tominaga, A., and Nakagawa, H. (1993). “Field measurements of secondary currents in straight rivers.”J. Hydr. Engrg., ASCE, 119(5), 598–614.
7.
Ramana Prasad, B. V. ( 1991). “Velocity, shear, and friction factor studies in rough rectangular open channels for supercritical flows,” PhD thesis, Indian Institute of Science, Bangalore, India.
8.
Sarma, A. K. ( 1993). “Velocity, shear, and friction studies in subcritical rough turbulent open channel flows,” PhD thesis, Indian Institute of Science, Bangalore, India.
9.
Sarma, K. V. N., Lakshminarayana, P., and Lakshmana Rao, N. S. (1983). “Velocity distribution in smooth rectangular open channels.”J. Hydr. Engrg., ASCE, 109(2), 270–289.
10.
Sarma, K. V. N., and Syamala, P. (1991). “Supercritical flow in smooth open channels.”J. Hydr. Engrg., ASCE, 117(1), 54–63.
11.
Schlichting, H. (1979). Boundary layer theory, 7th Ed., McGraw-Hill, New York.
12.
Syamala, P. ( 1988). “Velocity, shear and friction factor studies in smooth rectangular channels of small aspect ratios for supercritical flows,” PhD thesis, Indian Institute of Science, Bangalore, India.
13.
Vanoni, V. A. (1941). “Velocity distribution in open channels.” Civ. Engrg., ASCE, 2(6), 356–357.
14.
Vedula, S., and Rao, A. R. (1985). “Bed shear from velocity profiles: a new approach.”J. Hydr. Engrg., ASCE, 111(1), 131–143.

Information & Authors

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 126Issue 3March 2000
Pages: 210 - 214

History

Received: Aug 13, 1997
Published online: Mar 1, 2000
Published in print: Mar 2000

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Authors

Affiliations

Boyina V. Ramana Prasad
Formerly, Prof., Dept. of Civ. Engrg., Indian Inst. of Sci., Bangalore, 560 012, India.
Adjunct Prof., Dept. of Envir. and Energy Engrg., Rensselaer Polytechnic Inst., 5049 JEC/110 8th St., Troy, NY 12180-3590.
Prin., M.S. Ramaiah Inst. of Technol., Bangalore, 560 012, India.

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