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Wake collapse in the thermocline and internal solitary waves

Published online by Cambridge University Press:  19 April 2006

Timothy W. Kao  and
Hsien-Ping Pao
Timothy W. Kao
Affiliation:
Department of Civil Engineering, The Catholic University of America, Washington, D.C. 20064
Hsien-Ping Pao
Affiliation:
Department of Civil Engineering, The Catholic University of America, Washington, D.C. 20064
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Abstract

Experiments were conducted in a long channel in which a mixed region was allowed to collapse in the thermocline region of a stratified fluid. Two solitary wave-like disturbances were generated travelling to the right and left of the mixed region. The mixed region fluid was partly entrained in these waves. The waves were allowed to reflect from the end walls and to collide after the reflexions. The velocity structure of the wave was studied before, during and after a collision by means of hot-film anemometry and streak pictures. Wave speeds were accurately determined by two hot-film probes. Permanence of form and amplitude decay of the waves were observed over long distances and through successive collisions and reflexions. An analytical result for the structure of the solitary wave in an ambient stratification of the hyperbolic tangent type, but of finite total water depth, was obtained using Benney's method. Excellent agreement between the experimental and theoretical results was obtained. The results showed that the generated waves were indeed solitary waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 97 , Issue 1 , 11 March 1980 , pp. 115 - 127
Copyright
© 1980 Cambridge University Press

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References

Benjamin, T. B. 1966 Internal waves of finite amplitude and permanent form. J. Fluid Mech. 25, 241.Google Scholar
Benjamin, T. B. 1967 Internal waves of permanent form in fluids of great depths. J. Fluid Mech. 29, 559.Google Scholar
Benney, D. J. 1966 Long non-linear waves in fluid flows. J. Math. & Phys. 45, 52.Google Scholar
Davis, R. E. & Acrivos, A. 1967 Solitary internal waves in deep water. J. Fluid Mech. 29, 593.Google Scholar
Krauss, W. 1966 Methoden und Ergebnisse der Theoretischen Ozeanographie II. Interne Wellen. Berlin: Gebruder Borntraeger.
Lamb, H. 1932 Hydrodynamics, art. 252. Dover.
Ono, H. 1975 Algebraic solitary waves in stratified fluids. J. Phys. Soc. Japan 39, 1082.Google Scholar
Ursell, F. 1953 The long wave paradox in the theory of gravity wave. Proc. Camb. Phil. Soc. 49, 685.Google Scholar
Wu, J. 1969 Mixed region collapse with internal wave generation in a density-stratified medium. J. Fluid Mech. 35, 531.Google Scholar