TECHNICAL PAPERS
Sep 1, 2006

Experimental Study and 3D Numerical Simulations for a Free-Overflow Spillway

Publication: Journal of Hydraulic Engineering
Volume 132, Issue 9

Abstract

The main objectives of the present work were to investigate the flow field over a spillway and to simulate the flow by means of a three-dimensional (3D) numerical model. Depending on the wall curvature, the boundary layer parameters decreased or increased with increasing distance along the spillway. The growth of the boundary layer along the spillway is better described as a function of Reynolds number than the normalized streamwise length. A simplified form of the 3D momentum equation can be used to obtain a rough estimate of the skin friction. The velocity profile in the boundary layer along the spillway is described by a velocity–defect relationship. Numerical models provide a cost-effective means of simulating spillway flows. In this study, the water surface profiles and the discharge coefficients for a laboratory spillway were predicted within an accuracy range of 1.5–2.9%. The simulations were sensitive to the choice of the wall function, grid spacing, and Reynolds number. A nonequilibrium wall function with a grid spacing equal to a distance of 30 wall units gave good results.

Get full access to this article

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

Acknowledgments

The reviewers and the associate reviewer provided useful advice and tips to improve the manuscript.

References

Bombardelli, F. A., Hirt, C. W., and García, M. H. (2001). “Discussion of ‘Computations of curved free surface water flow on spiral concentrators.’” J. Hydraul. Eng., 127(7), 629–631.
Bradshaw, P. (1978). Topics in applied physics—Turbulence, Vol. 12, Springer, Berlin, 116–117.
Dargahi, B. (2004). “Three-dimensional flow modelling and sediment transport in the river Klarälven.” Earth Surf. Processes Landforms, 29, 821–852.
Dvorak, F. A. (1973). “Calculation of turbulent boundary layers and wall jets over curved surfaces.” AIAA J., 11, 517–524.
Engelman, M., Choudhury, D., and Marshall, L. (2001). “CFD technology: What does the future hold?” Fall computers and systems technology newsletter, CAST Communication.
Fluent user’s guide. (1995). Vol. 4, Chap. 19, Fluent Incorporated, Lebanon, N.H. ⟨http://www.fluent.com⟩.
Hinze, J. O. (1975). Turbulence, 2nd Ed., McGraw–Hill, New York, 632–634.
Hirt, C. W., and Nichols, B. D. (1981). “Volume of fluid (VOF) methods for the dynamics of free boundaries.” J. Comput. Phys., 39, 201–225.
Ho, H., Boyes, K., Donohoo, S., and Cooper, B. (2003). “Numerical flow analysis for spillways.” Proc., 43rd ANCOLD Conf., Hobart, Tasmania, 24–29.
Irwin, H., and Smith, A. P. (1975). “Prediction of the effects of streamline curvature on turbulence.” Phys. Fluids, 18(6), 624–630.
Johnston, P. J. (1957). “Three-dimensional turbulent boundary layer gas turbine lab.” Rep. No. 39, Massachusetts Institute of Technology, Cambridge, Mass. ⟨http://web.mit.edu/aeroastro/www/labs/GTL/gtl_pubs.html#Theses⟩.
Johnston, P. J. (1960). “The turbulent boundary layer at a plane of symmetry in a three-dimensional flow.” J. Basic Eng., 82, 622–628.
Kim, S. E., Choudhury, D., and Patel, B. (1997). “Computations of complex turbulent flows using the commercial code FLUENT.” Proc., ICASE/LaRC/AFOSR Symp. on Modeling Complex Turbulent Flows, Hampton, Va., 259–276.
Launder, B. E., and Spalding, D. B. (1972). Mathematical models of turbulence, Academic, New York.
Leonard, B. P. (1979). “A stable and accurate convective modelling procedure based on quadratic upstream interpolation.” Comput. Methods Appl. Mech. Eng., 19, 59–98.
Patel, V. C. (1965). “Calibration of the Preston tube and limitations on its use in pressure gradients.” J. Fluid Mech., 12, 185–208.
Preston, J. H. (1954). “The determination of turbulent skin friction by means of pitot tubes.” J. R. Aeronaut. Soc., 58, 109–121.
Savage, B. M., and Johnson, M. C. (2001). “Flow over Ogee spillway: Physical and numerical model case study.” J. Hydraul. Eng., 127(8), 640–649.
Schlichting, H. S. (1979). Boundary-layer theory, McGraw–Hill, New York, 596–601.
Sherman, F. S. (1990). Viscous flow, McGraw–Hill, New York.
Unami, K., Kawachi, T., Babar, M. M., and Itagaki, H. (1999). “Two-dimensional numerical model of spillway flow.” J. Hydraul. Eng., 125(4), 369–375.
U.S. Army Corps of Engineers. (1952). “Corps of Engineers hydraulic design criteria.” Rep. Prepared for Office of the Chief of Engineers, Waterways Experiment Station, Vicksburg, Miss.
U.S. Army Corps of Engineers. (1964). “Hydraulic design sheets 111-1 to 111-2/1.” Rep. Prepared for Office of the Chief of Engineers, Waterways Experiment Station, Vicksburg, Miss.
White, F. M. (1991). Viscous flow, McGraw–Hill, New York, 377–378.
Wilcox, D. C. (1988). Turbulence modeling for CFD, 2nd Ed., DCW Industries, Inc., La Canada, Calif., 49–217.
Winter, K. G., Rotta, J. C., and Smith, K. G. (1968). “Studies of the turbulent boundary layer on a waisted body of revolution in subsonic and supersonic flow.” Aeronautical Research Council Rep. and Memoranda No. 3633.
Yakhot, V., and Orszag, S. A. (1986). “Renormalization group analysis of turbulence.” J. Sci. Comput., 1(1), 1–51.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 132Issue 9September 2006
Pages: 899 - 907

History

Received: Dec 30, 2004
Accepted: Aug 23, 2005
Published online: Sep 1, 2006
Published in print: Sep 2006

Permissions

Request permissions for this article.

Authors

Affiliations

Bijan Dargahi
Associate Professor, Div. Hydraulic Engineering, The Royal Institute of Technology, Teknikringen 76–3tr, Stockholm 10044, Sweden. 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