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Run-up of internal waves on a gentle slope in a two-layered system

Published online by Cambridge University Press:  21 April 2006

B. C. Wallace  and
D. L. Wilkinson
B. C. Wallace
Affiliation:
Water Research Laboratory, The University of New South Wales, Manly Vale, Australia
D. L. Wilkinson
Affiliation:
Water Research Laboratory, The University of New South Wales, Manly Vale, Australia
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Abstract

This paper describes the dissipative phase of internal-wave run-up on uniform slopes of 0.030 and 0.054 rad as observed in a series of laboratory experiments. The waves were generated continuously at the interface of two miscible layers of differing density. As each wave in the perodic train propagated onto the slope, it steepened and developed into a solitary-like wave before finally overturning. Surrounding fluid was engulfed into the wave as it overturned and the resulting gravitational instability produced considerable turbulence and mixing. The broken wave took the form of a discrete bolus of dense fluid which propagated for some distance up the slope. Bulk parameters which characterize the nature of the bolus were defined and the dependence of these on the incident wave parameters and their behaviour during the run-up phase were examined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 191 , June 1988 , pp. 419 - 442
Copyright
© 1988 Cambridge University Press

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References

Alonso, C. V. 1971 Comparative study of electrical conductivity probes. J. Hydraul. Res. 9, 1–10.Google Scholar
Baines, P. G. 1982 On internal tide generation models. Deep-Sea Res. 29, 307–338.Google Scholar
Cacchione, D. A. & Wunsch, C. 1974 Experimental study of internal waves over a slope. J. Fluid Mech. 66, 223–239.Google Scholar
Davis, R. E. & Acrivos, A. 1967 Solitary internal waves in deepwater. J. Fluid Mech. 29, 593–607.Google Scholar
Djordjevic, V. D. & Redekopp, L. G. 1978 The fissional disintegration of internal solitary waves moving over 2-dimensional topography. J. Phys. Oceanogr. 10, 813–819.Google Scholar
Emery, K. O. & Gunnerson, C. G. 1973 Internal swash and surf. Proc. Nat. Acad. Sci. 70, 2379–2380.Google Scholar
Eriksen, C. C. 1982 Internal wave reflection off slopes. J. Geophys. Res. 87, 525–538.Google Scholar
Goda, Y. 1970 A synthesis of breaker indices. Trans. Japan Soc. Civ. Engrs 2, 39–49.Google Scholar
Hall, J. M. & Pao, Y.-H. 1969 Spectra of internal waves and turbulence in stratified fluids. Part 2. Radio Sci. 4, 1321–1325.Google Scholar
Haury, L. R., Briscoe, M. G. & Orr, M. H. 1979 Tidally generated internal wave packets in the Massachusetts Bay. Nature 278, 312–317.Google Scholar
Helfrich, K. R. & Melville, W. K. 1986 On long internal waves over slope-shelf topography. J. Fluid Mech. 167, 285–308.Google Scholar
Jones, I. S. F. & Padman, L. 1983 Semidiurnal internal tides in Eastern Bass Strait. Austral. J. Mar. Freshwat. Res. 34, 159–171.Google Scholar
Kao, T. W., Pan, F.-S. & Renouard, D. 1985 Internal solitons on the pycnocline generation, propagation, shoaling and breaking over a slope. J. Fluid Mech. 159, 19–53.Google Scholar
Maxworthy, T. 1980 Gravitational collapse of mixed regions. J. Fluid Mech. 96, 65–80.Google Scholar
Munk, W. H. 1949 The solitary wave theory and its application to surf problems. Ann. N. Y. Acad. Sci. 51, 376–462.Google Scholar
Murota, A., Hirata, T. & Michioku, K. 1980 Characteristics of internal gravity wave and its breaking on sloping bed. Trans. Japan Soc. Civ. Engrs, Hyd. San. Engng Div. 12, 149–150.Google Scholar
Nagashima, H. 1971 Reflection and breaking of internal waves on a sloping beach. J. Oceanogr. Soc. Japan 27, 1–6.Google Scholar
Osborne, A. R. & Burch, T. L. 1980 Internal solitons in the Andaman Sea. Science 208, 451–459.Google Scholar
Peregrine, H. W. 1974 Surface shear waves. J. Hydraul. Div., ASCE, HY9, 1215–1227.Google Scholar
Pingree, R. D. & Mardell, G. T. 1981 Slope turbulence, internal waves and phytoplankton growth at the Celtic Sea shelf-break. Phil. Trans. R. Soc. Lond. A 302, 663–682.Google Scholar
Simpson, J. E. 1972 Effects of the lower boundary on the head of a gravity current. J. Fluid Mech. 53, 759–768.Google Scholar
Simpson, J. E. & Britter, R. E. 1979 The dynamics of the head of a gravity current advancing over a horizontal surface. J. Fluid Mech. 94, 477–495.Google Scholar
Southard, J. B. & Cacchione, D. A. 1972 Experiments on bottom sediment movement by breaking internal waves. In Shelf Sediment Transport: Process and Pattern (ed. D. J. P. Swift, D. B. Duane & P. H. Pilkey), chap. 4. Dowden, Hutchinson & Ross.
Thorpe, S. A. 1966 Internal gravity waves. Ph.D. dissertation, University of Cambridge.
Wilkinson, D. L. 1983 Studies into the structure and motion of density currents. University of New South Wales, Water Res. Lab. Rep. 160.
Wood, I. R. & Simpson, J. E. 1984 Jumps in layered miscible fluids. J. Fluid Mech. 140, 329–342.Google Scholar