TECHNICAL PAPERS
Jun 1, 1984
Waves in Open Channels
Authors: Jinsung Shi and Chia‐Shun YihAuthor Affiliations
Publication: Journal of Engineering Mechanics
Volume 110, Issue 6
Abstract
Gravity waves in trapezoidal channels and channels with curved bottoms, including sloshing, longitudinal, and combined modes, are treated. Analytical‐numerical solutions are given for the wave frequency and the velocity potential for waves in trapezoidal channels, and analytical solutions based on the shallow‐water theory are obtained for waves in curved channels.
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References
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Jahnke, E., and Emde, F., Table of Functions, Dover Publications, New York, N.Y., 1945.
2.
Lamb, H., Hydrodynamics, Dover Publications, New York, N.Y., 1945.
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Lanczos, C., Applied Analysis, Prentice Hall, Englewood Cliffs, N.J., 1956.
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Watson, G. N., Theory of Bessel Functions, 2nd ed., Cambridge Univ. Press, Cambridge, England, 1944.
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Yih, C.‐S., “Comparison Theorems for Water Waves in Basins of Variable Depth,” Quarterly of Applied Mathematics, Vol. 33, 1976, pp. 387–394.
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Copyright © 1984 ASCE.
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Published online: Jun 1, 1984
Published in print: Jun 1984
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Jinsung Shi
Asst. Prof., Math. Dept., Tech. Univ. of Water Resources, Nanking, China
Chia‐Shun Yih
Stephen P. Timoshenko Univ. Prof. of Fluid Mech., Univ. of Michigan, Ann Arbor, Mich. 48109
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