Harmonic Friction-Damping Modulus
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 121, Issue 1
Abstract
By linearizing the St. Venant system of equations and decomposing the tidal oscillations into a series of sinusoidal constituents, Ippen and Harleman (in 1966) developed a semianalytical harmonic method for simulation of tidal motion in estuaries. In spite of the efficiency of their method, there is a major drawback stemming from the requirement of extensive field data for calibration of the dimensionless parameter φ and friction damping modulus μ. For that purpose, a large number of data for various combinations of estuarine length, depth, bottom friction, and tidal amplitude and period were generated by means of computer simulations. The numerical model utilized the full system of the one-dimensional continuity and momentum equations. Based on these data, the behavior of the dimensionless parameter φ was analyzed in a previous paper. In this study, the data are used for investigation of the behavior of friction damping modulus μ under various conditions. The results quantify the dependence of μ with respect to Chezy's coefficient of friction ( C z), length of the estuary ( l o), tidal period ( T), water depth ( H), bottom slope ( S o), and plane geometry of the estuary. Whenever available, the simulation data were tested with experimental data.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Anikkouchine, W. A., and Sternberg, R. W. (1973). The world ocean—an introduction to oceanography. Prentice-Hall, Englewood Cliffs, New Jersey.
2.
Apel, J. R. (1987). Principles of ocean physics; international geophysical series, Vol. 38. Academic Press, London, England.
3.
Brown, E. I. (1932). “Flow of Water in Tidal Canals.”Trans. ASCE, Vol. 96, 749–834.
4.
Dronkers, J. J. (1964). Tidal computations in rivers and coastal waters. North-Holland, Amsterdam, The Netherlands.
5.
Dronkers, J. J. (1975). Tidal theory and computations; advances in hydroscience, Vol. 10, Academic Press, New York, N.Y., 145–230.
6.
Dronkers, J. J., and Schonfeld, J. C. (1955). “Tidal computations in shallow water.”Proc., Hydr. Div., ASCE, Vol. 81.
7.
Evangelisti, G. (1955). “On tidal waves in a canal with variable cross section.”Proc., 6th General Meeting IAHR, IAHR, The Hague, The Netherlands.
8.
Estuary and coastline hydrodynamics. (1966). A. T. Ippen, ed., McGraw-Hill, New York, N.Y.
9.
Keulegan, G. H. (1966). “Methodology—tidal computations for a sea-level canal.”Res. Rept. No. 2-9, U.S. Army Corps of Engineers, W. E. S., Vicksburg, Miss.
10.
Keulegan, G. H. (1967). “Tidal flow in entrances—water-level fluctuations of basins in communication with seas.”Tech. Bull. No. 14, Committee on Tidal Hydraulics, U.S. Army Corps of Engineers, W. E. S., Vicksburg, Miss.
11.
Lamb, H. (1945). Hydrodynamics, 6th Ed., Dover, New York, N.Y.
12.
Lorentz, H. A. (1926). “Verslag Staatscommissie Zuiderzee, 1918–1926.”Alg. Landsdrukkerij, The Hague, The Netherlands.
13.
Mazure, J. P. (1937). “The computation of tides and storm surges on maritime rivers,” thesis, Technische Hogeschool te Delft, Delft, The Netherlands.
14.
Parsons, W. B. (1918). “The Cape Cod Canal.”Trans. ASCE, Vol. 82, 106–138.
15.
Proudman, J. (1957). “Oscillations of tide and surge in an estuary of finite length.”J. Fluid Mech., Vol. 2, 371–382.
16.
Rich, G. R. (1963). Hydraulic Transients. Dover, New York, N.Y.
17.
Scarlatos, P. D.(1982). “A pure finite-element method for the Saint-Venant equations.”Coast. Engrg., 6(2), 1982, 27–45.
18.
Scarlatos, P. D. (1988). “Caloosahatchee Estuary hydrodynamics.”Tech. Publ. 88-7, Water Resources Division, South Florida Water Management District, West Palm Beach, Fla.
19.
Scarlatos, P. D., and Singh, V. P.(1987a). “Estimating harmonic parameters for damped co-oscillating tides.”J. Wtrwy., Port, Coast., and Oc. Engrg., 113(2), 156–170.
20.
Scarlatos, P. D., and Singh, V. P.(1987b). “Long-wave transmission through porous wavebreakers.”Coast. Engrg., 11(2), 141–157.
21.
Schonfeld, J. C. (1951). “Propagation of tides and similar waves,” thesis, Technische Hogeschool te Delft, Delft, The Netherlands.
Information & Authors
Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 121 • Issue 1 • January 1995
Pages: 61 - 73
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Jan 1, 1995
Published in print: Jan 1995
Authors
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.