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Near-resonant forcing in a shallow two-layer fluid: a model for the internal surge in Loch New?

Published online by Cambridge University Press:  29 March 2006

S. A. Thorpe
S. A. Thorpe
Affiliation:
Institute of Oceanographic Studies, Wormley, Godalming, Surrey
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Abstract

The form taken by a finite amplitude internal seiche in a shallow two-layer fluid within a long narrow container is akin to a shock wave in a gas-filled tube; an undular bore or surge is present which reflects back and forth along the length of the container. The internal surge in Loch Ness is sometimes observed to retain its amplitude over several seiche periods, and a resonance with the wind appears possible. This idea is explored by developing a theoretical model and by making a laboratory experiment, but difficulties are encountered in estimating the size of the parameters which characterize the natural phenomenon.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 63 , Issue 3 , 29 April 1974 , pp. 509 - 527
Copyright
© 1974 Cambridge University Press

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References

Benjamin, T. B. & Feir, J. E. 1967 J. Fluid Mech. 27, 417–430.
Cavanie, A. G. 1971 Cahiers Oceanog. 23, 611–627.
Chester, W. 1968 Proc. Roy. Soc. A 306, 5–22.
Chester, W. & Bones, J. A. 1968 Proc. Roy. Soc. A 306, 23–39.
Chrystal, G. 1910 Bathymetrical Survey of the Scottish Fresh-Water Lakes (ed. Murrey & Puller), vol. 1, pp. 29–90. Edinburgh: Challenger Office.
Davis, R. E. & Acrivos, A. 1967 J. Fluid Mech. 30, 723–736.
Gargett, A. E. & Hughes, B. A. 1972 J. Fluid Mech. 52, 179–192.
Halpern, D. 1971 J. Mar. Res. 29, 116–132.
Heaps, N. S. & Ramsbottom, A. E. 1966 Phil. Trans. A 259, 391–430.
Huneins, K. & Fliecbl, M. 1973 J. Geophys. Res. 79, 539–548.
Long, R. R. 1972 Tellus, 24, 88–99.
Mortimer, C. H. 1955 Proc. Intern. Assoc. Appl. Limnol. 12, 66–77.
RAO, D. B. 1966 J. Fluid Mech. 25, 523–555.
Smith, R. T. Mahony, J. J. 1972 J. Fluid Mech. 53, 193–207.
Thorpe, S. A. 1968a J. Fluid Mech. 32, 489–528.
Thorpe, S. A. 1968b Phil. Trans. A 263, 563, 614.
Thorpe, S. A. 1971 Nature, 231, 306–308.
Thorpe, S. A. 1973 Bdry-Layer Meteorol. 5, 95–119.
Thorpe, S. A., Hall, A. & Crofts, I. 1972 Nature, 237, 96–98.
Watson, E. R. 1904 Geog. J. 24, 430–437.
Wedderburn, E. M. 1907 Trans. Roy. Soc. Edin. 45, 407–489.
Wedderburn, E. M. 1911 Trans. Roy. Soc. Edin. 48, 629–695.
Whitham, G. B. 1967 J. Fluid Mech. 27, 399–412.
Ziegenbein, J. 1969 Deep-sea Res. 16, 479–487.