Research Article
Oct 1981
Boundary Calculations of Sluice and Spillway Flows
Authors: Alexander H-D. Cheng, Philip L-F. Liu, AM.ASCE, and James A. Liggett, M.ASCEAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 107, Issue 10
Abstract
The classical problems of steady-state flow under a sluice gate and over a spillway are solved by the boundary integral equation method. In both cases an iterative methods is used to adjust the free-surface profiles until they satisfy both the kinematic and dynamic boundary conditions. In the case of sluice gate flow, a point by point adjustment method is used which quickly converges to the correct solution within three to six iterations. The results closely check previous, less efficient calculations. Some of the variation is past experimental results is explained by calculations in which the geometry of the gate is altered slightly near the tip. Even a small change from the ideal geometry can have a major effect on the contraction coefficient. Flow over a spillway is a more difficult problem due to poor convergence properties in the free-surface profile behind the spillway crest.
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Published In
Journal of the Hydraulics Division
Volume 107 • Issue 10 • October 1981
Pages: 1163 - 1178
Copyright
© 1981 American Society of Civil Engineers.
History
Published in print: Oct 1981
Published online: Feb 3, 2021
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Authors
Affiliations
Alexander H-D. Cheng
Grad. Student, School of Civ. and Environmental Engrg., Cornell Univ., Hollister Hall, Ithaca, N.Y. 14853
Philip L-F. Liu, AM.ASCE
Assoc. Prof., School of Civ. and Environmental Engrg., Cornell Univ., Hollister Hall, Ithaca, N.Y. 14853
James A. Liggett, M.ASCE
Prof., School of Civ. and Environmental Engrg., Cornell Univ., Hollister Hall, Ithaca, N.Y. 14853
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