Wave Interaction with Rectangular Trench in Density‐Stratified Fluid
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 114, Issue 5
Abstract
The propagation of water waves in a direction perpendicular to the longitudinal axis of a rectangular submarine trench is studied for a density‐stratified fluid in the trench. The theoretical and experimental investigation has focused on the excitation of internal waves within the trench. The study shows that, when the frequency of the propagating surface waves corresponds to the natural frequency of internal waves in the trench, the amplitude of the interfacial waves becomes large compared to the amplitude of the surface waves. The effects of the internal waves on the surface waves are not measurable; the surface waves are sensitive more to changes in depth than to the effects of density stratification. The results of a linear inviscid theory are compared to experiments and show good agreement with various aspects of the observed trench motion.
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References
1.
Goring, D. G. (1978). “Tsunamis—The propagation of long waves onto a shelf.” Report No. KH‐R‐38, W. M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology, Pasadena, Calif.
2.
Head, M. J. (1983). “The use of miniature four‐electrode conductivity probes for high resolution measurement of turbulent density or temperature variations in salt‐stratified water flows.” Thesis presented to the University of California, at San Diego, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Kelly, R. E. (1969). “Wave diffraction in a two‐fluid system.” J. Fluid Mech., 36, 65–73.
4.
Kirby, J. T., and Dalrymple, R. A. (1983). Propagation of obliquely incident water waves over a trench.” J. Fluid Mech., 133, 47.
5.
Kirby, J. T., Dalrymple, R. A., and Seo, S. N. (1987). “Propagation of obliquely incident water waves over a trench. Part 2. Currents flowing along the trench.” J. Fluid Mech., 176, 95.
6.
Lassiter, J. B. (1972). “The propagation of water waves over sediment pockets.” Thesis presented to the Massachusetts Institute of Technology, at Cambridge, Mass., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
Lee, J. J., and Ayer, R. M. (1981). “Wave propagation over a rectangular trench.” J. Fluid Mech., 110, 335–347.
8.
Miles, J. W. (1967). “Surface‐wave scattering matrix for a shelf.” J. Fluid Mech., 28, 755–767.
9.
Miles, J. W. (1982). “On surface‐wave diffraction by a trench.” J. Fluid Mech., 115, 315–325.
10.
Newman, J. N. (1965). “Propagation of water waves over an infinite step.” J. Fluid Mech., 23, 399–415.
11.
Ting, C. K. F., and Raichlen, F., “Wave interaction with a rectangular trench.” J. of Watrwy, Port, Coast., and Oc. Engrg., ASCE, 112(3), 454–460.
12.
Ursell, F., Dean, R. G., and Yu, Y. S. (1960). “Forced small‐amplitude water waves: A comparison of theory and experiment.” J. Fluid Mech., 7, 33–52.
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Copyright © 1988 ASCE.
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Published online: Sep 1, 1988
Published in print: Sep 1988
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