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