Hostname: page-component-745bb68f8f-5r2nc Total loading time: 0 Render date: 2025-02-11T12:26:30.509Z Has data issue: false hasContentIssue false
  • English
  • Français

On the interaction of internal waves and surface gravity waves

Published online by Cambridge University Press:  29 March 2006

John E. Lewis ,
Bruce M. Lake  and
Denny R. S. Ko
John E. Lewis
Affiliation:
Fluid Mechanics Laboratory, TRW Systems, Redondo Beach, California Present address: Techmate, Inc., Torrance, California.
Bruce M. Lake
Affiliation:
Fluid Mechanics Laboratory, TRW Systems, Redondo Beach, California
Denny R. S. Ko
Affiliation:
Fluid Mechanics Laboratory, TRW Systems, Redondo Beach, California Present address: Flow Research, Inc., Los Angeles, California.
Get access Rights & Permissions [Opens in a new window]

Abstract

The perturbation of pre-existing surface gravity waves caused by the presence of an internal wave was studied both experimentally and analytically. An extensive series of experiments was performed, and quantitative results were obtained for the one-dimensional monochromatic interaction of internal waves and surface gravity waves. Internal wave-induced surface slope, amplitude and wavenumber modulations were measured for a wide range of interaction conditions. A complementary theoretical analysis, based on the conservation approach of Whitham (1962) and Longuet-Higgins & Stewart (1960,1961), was performed and a closed form solution obtained for the one-dimensional wave interaction. Both the theory and the experiment demonstrate that the effect increases with interaction distance. The maximum interaction effect is found to occur when the phase speed of the internal wave and the group velocity of the surface wave are matched. The phase of the internal wave at which maximum surface-wave modulation occurs is found to be a sensitive and continuous function of the relative wave speeds. The experimental data are in good agreement with the present theoretical analysis.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 63 , Issue 4 , 15 May 1974 , pp. 773 - 800
Copyright
© 1974 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Allen, J. R. L. 1971 J. Sedimentary Petrology, 41, 97.
Benjamin, T. B. 1968 J. Fluid Mech. 31, 209.
Daly, B. J. & Pracht, W. E. 1968 Phys. Fluids, 11, 15.
Ellison, T. H. 1961 Science Progress, 49, 57.
Ippen, A. T. & Harleman, D. R. F. 1952 Proc. N.B.S. Symp. on Gravity Waves, Nat. Bur. Stand. Circ. 521, 79.
Karmán, T. VON 1940 Bull. Am. Math. Soc. 46, 615.
Keulegan, O. H. 1957 U.S. Nat. Bur. Standards Rep. no. 5168.
Keulegian, G. H. 1958 U.S. Nat. Bur. Standards Rep. no. 5831.
Lawson, T. J. 1971 Weather, 26, 105.
Middleton, G. V. 1966 Can. J. Earth Sci. 3, 523.
Seligman, G. 1936 Snow Structure and Ski Fields, figure 356. Macmillan.
Simpson, J. E. 1969 Quart. J. Roy. Met. Soc. 95, 758.
Wood, I. R. 1965 University N.S. Wales. Water Res. Lab., Manly Vale Rep. no. 81.