Body‐Fitted Coordinates for Flow Under Sluice Gates
Publication: Journal of Hydraulic Engineering
Volume 111, Issue 6
Abstract
A boundary‐fitted coordinates method was successfully employed in the evaluation of the discharge coefficients, as well as the free‐surface profiles, for vertical and radial sluice gates for an ideal fluid. The values of the discharge coefficients and the free upstream and downstream surface profiles are in good agreement with the literature. Some details of the flow, such as the velocity profiles and the bed pressure deficit upstream of the gate, can also be predicted accurately. The boundary‐fitted coordinates method was demonstrated to be a viable method in the study of fluid flow with initially unknown discharge and unknown free‐surface profiles.
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References
1.
Chan, S. T. K., Larock, B. E., and Herrman, L. R., “Free Surface Ideal Fluid Flows,” Journal of the Hydraulics Division, ASCE, Vol. 99, No. HY6, Paper 9787, June, 1973, pp. 959–974.
2.
Diersch, H.‐J., Schirmer, A., and Busch, K.‐F., “Analysis of Flows with Initially Unknown Discharge,” Journal of the Hydraulics Division, ASCE, Vol. 103, No. HY3, Paper 12784, Mar., 1977, pp. 213–231.
3.
Fangmeier, D. D., and Strelkoff, T. S., “Solution for Gravity Flow Under Sluice Gates,” Journal of the Engineering Mechanics Division, ASCE, Vol. 94, No. EMI, Paper 5797, Feb., 1968, pp. 153–176.
4.
Gill, M. A., “Discharge Characteristics of Radial Gate,” Water Power and Dam Construction, Vol. 34, 1982, pp. 39–41.
5.
Henry, H. R., discussion of “Diffusion of Submerged Jets,” by M. L. Albertson, et al., Transactions, ASCE, Vol. 115, 1950, p. 687.
6.
Isaacs, L. T., “Numerical Solution for Flow Under Sluice Gates,” Journal of the Hydraulics Division, ASCE, Vol. 103, No. HY5, Paper 12923, May, 1977, pp. 473–481.
7.
Larock, B. E., “A Theory for Free Outflow Beneath Radial Gates,” Journal of Fluid Mechanics, Vol. 41, Part 4, 1970, pp. 851–864.
8.
Larock, B. E., “Gravity Affected Flow From Planar Sluice Gates,” Journal of the Hydraulics Division, ASCE, Vol. 95, No. HY4, July, 1969, pp. 1211–1226.
9.
Pajer, G., “Uber den Strömungsvorgang an einer unterströmten scharfkantigen Planschütze,” Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 17, 1937, pp. 259–269.
10.
Rajaratnam, N., and Humphries, J. A., “Free Flow Upstream of Vertical Sluice Gates,” Journal of Hydraulic Research, 20, No. 5, 1982, pp. 427–437.
11.
Roache, P. J., Computational Fluid Dynamics, Hermosa Publishers, Albuquerque, N.M., 1972.
12.
Ryskin, G., and Leal, L. G., “Orthogonal Mapping,” Journal of Computational Physics, Vol. 50, 1983, pp. 71–100.
13.
Southwell, R., and Vaisey, G., “Relaxation Methods Applied to Engineering Problems, XII. Fluid Motions Characterized by Free Streamlines,” Philosophical Transactions of the Royal Society of London, Vol. A240, 1946, pp. 117–161.
14.
Thompson, J. F., and Warsi, Z. U. A., “Boundary‐Fitted Coordinate Systems for Numerical Solution of Partial Differential Equations—A Review,” Journal of Computational Physics, Vol. 47, 1982, pp. 1–108.
15.
Thompson, J. F., “Numerical Solution of Flow Problems Using Body‐Fitted Coordinate Systems,” Computational Fluid Dynamics, W. Kollmann, ed., Hemisphere, 1980.
16.
Toch, A., “Discharge Characteristics of Tainter Gates,” Transactions, ASCE, Vol. 120, 1955, pp. 290–300.
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Published In
Journal of Hydraulic Engineering
Volume 111 • Issue 6 • June 1985
Pages: 922 - 933
Copyright
Copyright © 1985 ASCE.
History
Published online: Jun 1, 1985
Published in print: Jun 1985
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