TECHNICAL PAPERS
Oct 1, 2007

Analytic Stage-Discharge Formulas for Flow in Straight Prismatic Channels

Publication: Journal of Hydraulic Engineering
Volume 133, Issue 10

Abstract

Three analytic stage-discharge formulas, suitable for hand calculation, have been derived for prismatic open channels. The three types of prismatic geometry investigated are: simple rectangular, symmetric, and asymmetric rectangular compound channels. The formulas include three key parameters that govern the local friction factor, eddy viscosity, and secondary flow. The discharge results and the corresponding analytic depth-averaged velocity and bed shear stress distributions show good agreement with the experimental data, even when constant parameter values are assumed. The influence of these three parameters on the stage-discharge relationships is explored.

Get full access to this article

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

Acknowledgments

The writers gratefully acknowledge the financial support of The Engineering and Physical Sciences Research Council (EPSRC Grant No. UNSPECIFIEDEP/D50385X/1) and the financial support of Trans-Century Training Program Foundation for the Talents by the State Education Commission of China.

References

Abril, J. B., and Knight, D. W. (2004). “Stage-discharge prediction for rivers in flood applying a depth-averaged model.” J. Hydraul. Res., 42(6), 616–629.
Atabay, S., and Knight, D. W. (1999). “Stage discharge and resistance relationships for laboratory alluvial channels with overbank flow: River sedimentation.” A. W. Jayawardena, J. H. W. Lee, and Z. Y. Wang, eds., Proc., 7th Int. Symp. on River Sedimentation, Hong Kong, 223–229.
Byrd, P. F., and Friedman, M. D. (1971). Handbook of elliptic integral for engineers and scientists, 2nd Ed., Spring, Berlin.
Knight, D. W. (1981). “Some field measurements concerned with the behaviour of resistance coefficients in a tidal channel.” Estuarine Coastal Shelf Sci., 12, 303–322.
Knight, D. W., and Abril, J. B. (1996). “Refined calibration of a depth-averaged model for turbulent flow in a compound channel.” Geol. Mag., 118(3), 151–159.
Knight, D. W., and Demetriou, J. D. (1983). “Flood plain and main channel flow interaction.” J. Hydraul. Eng., 109(8), 1073–1092.
Knight, D. W., and Hamed, M. E. (1984). “Boundary shear in symmetrical compound channels.” J. Hydraul. Eng., 110(10), 1412–1430.
Knight, D. W., Omran, M., and Abril, J. B. (2004). “Boundary conditions between panels in depth-averaged flow models revisited.” River Flow 2004, Proc., 2nd Int. Conf. on Fluvial Hydraulics, Vol. 1, Napoli, Italy, M. Greco, A. Carravetta, and R. D. Morte, eds., 371–380.
Knight, D. W., Omran, M., and Tang, X. (2007). “Modeling depth-averaged velocity and boundary shear in trapezoidal channels with secondary flows.” J. Hydraul. Eng., 133(1), 39–47.
Knight, D. W., and Shiono, K. (1990). “Turbulence measurements in a shear layer region of a compound channel.” J. Hydraul. Res., 28(2), 175–196.
Knight, D. W., and Shiono, K. (1996). “River channel and floodplain hydraulics.” Floodplain process, M. G. Anderson, D. E. Walling, and P. D. Bates, eds., Wiley, New York, 139–181.
Knight, D. W., Shiono, K., and Pirt, J. (1989). “Prediction of depth mean velocity and discharge in natural rivers with overbank flow.” Proc., Int. Conf. on Hydraulic and Environmental Modelling of Coastal, Estuarine, and River Waters, R. A. Falconer, P. Goodwin, and R. G. S. Matthew, eds., Gower Technical, Univ. of Bradford, Bradford, U.K., 419–428.
Lambert, M. F., and Myers, W. R. C. (1998). “Estimating the discharge capacity in straight compound channels.” Geol. Mag., 130, 85–94.
Myers, W. R. C. (1984). “Frictional resistance in channels with floodplains.” Proc., 1st Int. Conf. on Hydraulic Design in Water Resources Engineering, Univ. of Southampton, Southampton, U.K., 4.73–4.87.
Samuels, P. G. (1989). “Some analytical aspects of depth averaged flow models.” Proc., Int. Conf. on Hydraulic and Environmental Modelling of Coastal, Estuarine, and River Waters, R. A. Falconer, P. Goodwin, and R. G. S. Matthew, eds., Gower Technical, Univ. of Bradford, Bradford, U.K., 411–418.
Shiono, K., and Knight, D. W. (1988). “Two-dimensional analytical solution for a compound channel.” Proc., 3rd Int. Symp. on Refined Flow Modeling and Turbulence Measurements, Tokyo, Japan, 503–510.
Shiono, K., and Knight, D. W. (1991). “Turbulent open-channel flows with variable depth across the channel.” J. Fluid Mech., 222, 617–646 (and Vol. 231, October, 693).
Tominaga, A., and Knight, D. W. (2004). “Numerical evaluation of secondary flow effects on lateral momentum transfer in overbank flows.” River Flow 2004, Proc., 2nd Int. Conf. on Fluvial Hydraulics, Vol. 1, Napoli, Italy, M. Greco, A. Carravetta, and R. D. Morte, eds., 353–361.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 133Issue 10October 2007
Pages: 1111 - 1122

History

Received: Apr 11, 2006
Accepted: Feb 9, 2007
Published online: Oct 1, 2007
Published in print: Oct 2007

Permissions

Request permissions for this article.

Authors

Affiliations

Huasheng Liao
Professor, State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan Univ., Chengdu, Sichuan 610065, P.R. China. E-mail: [email protected]
Donald W. Knight, M.ASCE
Professor, Dept. of Civil Engineering, The Univ. of Birmingham, Edgbaston, Birmingham B15 2TT, U.K. (corresponding author). E-mail [email protected]

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