TECHNICAL PAPERS
Jan 1, 1995

Maximum and Mean Velocities and Entropy in Open-Channel Flow

Publication: Journal of Hydraulic Engineering
Volume 121, Issue 1

Abstract

The maximum velocity in a channel cross section is highlighted with respect to its information content and relation to the mean velocity and entropy parameter. Under a wide range of discharge and water depth, a channel section seems to have propensity to establish and maintain an equilibrium state that corresponds to a value of entropy parameter. The entropy parameter of a channel section can be determined from the relation between the mean and maximum velocities. A technique has been developed to determine the discharge from a velocity profile on a single vertical passing through the point of maximum velocity in a channel cross section. The technique is an efficient way to estimate the discharge in streams and rivers, that can be used to continuously update the flow resistance during an unsteady flow, to enhance a filtering scheme designed to reduce uncertainties in flow forecasting. The use of the constant value of entropy parameter predetermined for a channel section can simplify the discharge estimation.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bridge, J. S., and Jarvis, J. (1985). “Flow and sediment transport data, River South Esk, Glen Glova, Scotland.”Unpublished Rep., Dept. of Geological Sciences, State Univ. of New York, Binghamton, N.Y.
2.
Chiu, C.-L. (1978). Application of Kalman filter to hydrology, hydraulics and water resources . Dept. of Civ. Engrg., Univ. of Pittsburgh, Pittsburgh, Pa.
3.
Chiu, C.-L., and Chiou, J.-D.(1986). “Structure of 3-D flow in rectangular open channels.”J. Hydr. Engrg., ASCE, 112(11), 1050–1068.
4.
Chiu, C.-L.(1987). “Entropy and probability concepts in hydraulics.”J. Hydr. Engrg., ASCE, 113(5), 583–600.
5.
Chiu, C.-L.(1988). “Entropy and 2-D velocity distribution in open channels.”J. Hydr. Engrg., ASCE, 114(7), 738–756.
6.
Chiu, C.-L.(1989). “Velocity distribution in open-channel flow.”J. Hydr. Engrg., ASCE, 115(5), 576–594.
7.
Chiu, C.-L.(1991). “Application of entropy concept in open-channel flow study.”J. Hydr. Engrg., ASCE, 117(5), 615–628.
8.
Chiu, C.-L., and Murray, D. W.(1992). “Variation of velocity distribution along non-uniform open channel flow.”J. Hydr. Engrg., ASCE, 118(7), 989–1001.
9.
Chiu, C.-L., Lin, G.-F., and Lu, J.-M.(1993). “Application of probability and entropy concepts in pipe-flow study.”J. Hydr. Engrg., ASCE, 119(6), 742–756.
10.
Choo, T. H. (1990). “Estimation of energy and momentum coefficients in open channel flow by Chiu's velocity distribution equation,” M.S. thesis, Dept. of Civ. Engrg., Univ. of Pittsburgh, Pittsburgh, Pa.
11.
Crissman, R. D., Chiu, C.-L., Yu, W., Mizumura, K., and Corbu, I.(1993). “Uncertainties in flow modeling and forecasting for Niagara River.”J. Hydr. Engrg., ASCE, 119(11), 1231–1250.
12.
Culbertson, J. K., Scott, C. H., and Bennett, J. P. (1971). “Summary of alluvial-channel data from Rio Grande Conveyance Channel, New Mexico, 1965–69.”Open File Report, U.S. Geological Survey, Water Resources Division, (Aug.).
13.
Gordon, L. (1992). Mississippi river discharge . RD Instruments, San Diego, Calif.
14.
Guy, H. P., Simons, D. B., and Richardson, E. V. (1966). “Summary of alluvial channel data from flume experiments, 1956–61.”Geological Survey Professional Paper 462-I, U.S. Government Printing Office, Washington, D.C.
15.
Yen, B. C. (1965). “Characteristics of subcritical flow in a meandering channel.”Tech. Rep., Institute of Hydraulic Research, Univ. of Iowa, Iowa City, Iowa.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 121Issue 1January 1995
Pages: 26 - 35

History

Published online: Jan 1, 1995
Published in print: Jan 1995

Permissions

Request permissions for this article.

Authors

Affiliations

Chao-Lin Chiu, Member, ASCE
Prof. of Civ. Engrg., Dept. of Civ. Engrg., School of Engrg., 949 Benedum Hall, Univ. of Pittsburgh, Pittsburgh, PA 15261.
Chairil A. Abidin Said
Grad. Student, Dept. of Civ. Engrg., School of Engrg., 949 Benedum Hall, Univ. of Pittsburgh, Pittsburgh, PA.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share