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Momentum disturbances and wave trains

Published online by Cambridge University Press:  26 April 2006

A. Dixon
A. Dixon
Affiliation:
University of New South Wales, Kensington, N.S.W., 2033, Australia Present address: School of Engineering, University of Exeter, North Park Rd., Exeter EX4 4QF, UK.
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Abstract

The effects of a reduction in momentum flux on the downstream flow characteristics of a steady, two-dimensional flow are investigated. In particular, quantities such as the changes in mean depth, mean fluid velocity, mean kinetic and potential energies and the length of the induced downstream wave are examined. This is done with the use of a fourth-order perturbation expansion in wave slope. The results are compared with the conflicting results that had been obtained previously by different authors. Agreement is found with the second-order theory of Benjamin (1970), but the work of Doctors & Dagan (1980) is found to be in error and is corrected.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 207 , October 1989 , pp. 295 - 310
Copyright
© 1989 Cambridge University Press

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References

Benjamin, T. B. & Lighthill, M. J. 1954 On cnoidal waves and bores. Proc. R. Soc. Lond. A 224, 448–460.Google Scholar
Benjamin, T. B. 1970 Upstream Influence. J. Fluid Mech. 40, 49–79.Google Scholar
Chappelear, J. E. 1961 Direct numerical calculation of wave properties. J. Geophys. Res. 66, 501–508.Google Scholar
Cokelet, E. D. 1977 Steep gravity waves in water of arbitrary uniform depth. Phil. Trans. R. Soc. A 286, 183–230.Google Scholar
De, S. C. 1955 Contributions to the theory of Stokes waves. Proc. Camb. Phil. Soc. 51, 113–136.Google Scholar
Doctors, L. J. & Dagan, G. 1980 Comparison of nonlinear wave-resistance theories for a two-dimensional pressure distribution. J. Fluid Mech. 98, 647–672.Google Scholar
Duncan, J. H. 1983 A note on the evaluation of the wave resistance of two-dimensional bodies from measurements of the downstream wave profile. J. Ship Res. 27, 90–92.Google Scholar
Fenton, J. D. 1985 A fifth-order Stokes theory for steady waves. J. Waterway, Port, Coastal Ocean Engng Div. ASCE 111, 216–234.Google Scholar
Salvesen, N. 1969 On higher-order wave theory for submerged two-dimensional bodies. J. Fluid Mech. 38, 415–432.Google Scholar
Salvesen, N. & von Kerczek, C. 1976 Comparison of numerical and perturbation solutions of two-dimensional nonlinear water-wave problems. J. Ship Res. 20, 160–170.Google Scholar
Salvesen, N. & von Kerczek, C. 1978 Nonlinear aspects of subcritical shallow-water flow past two dimensional obstructions. J. Ship Res. 22, 203–211.Google Scholar
Wehausen, J. V. & Laitone, E. V. 1960 Surface waves. In Encyclopedia of Physics, vol. 9, pp. 446–778.
Whitham, G. B. 1962 Mass, momentum and energy flux in water waves. J. Fluid Mech. 12, 135–147.Google Scholar