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Shallow water wave generation by unsteady flow

Published online by Cambridge University Press:  28 March 2006

J. E. Ffowcs Williams
Affiliation:
Mathematics Department, Imperial College, London
D. L. Hawkings
Affiliation:
Mathematics Department, Imperial College, London

Abstract

Small amplitude waves on a shallow layer of water are studied from the point of view used in aerodynamic sound theory. It is shown that many aspects of the generation and propagation of water waves are similar to those of sound waves in air. Certain differences are also discussed. It is concluded that shallow water simulation can be employed in the study of some aspects of aerodynamically generated sound.

Type
Research Article
Copyright
© 1968 Cambridge University Press

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References

Curle, N. 1955 The influence of solid boundaries upon aerodynamic sound. Proc. Roy. Soc. A 231, 50514.Google Scholar
Ffowcs Williams, J. E. 1963 The noise from turbulence convected at high speed. Phil. Trans A 255, 469503.Google Scholar
Jones, D. S. 1964 The Theory of Electromagnetism. London: Pergamon Press.
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics. London: Pergamon Press.
Lighthill, M. J. 1952 On sound generated aerodynamically. I. General theory. Proc. Roy. Soc. A 211, 56487.Google Scholar
Lighthill, M. J. 1954 On sound generated aerodynamically. II. Turbulence as a source of sound. Proc. Roy. Soc A 222, 132.Google Scholar
Lighthill, M. J. 1962 Sound generated aerodynamically. Proc. Roy. Soc. A 267, 14782.Google Scholar
Lighthill, M. J. 1963 Jet noise A.I.A.A. J. 1, 150717.Google Scholar
Milne-Thomson, L. M. 1960 Theoretical Hydrodynamics, 4th ed. London: Macmillan.
Obermeier, F. 1967 Acoustica, 18, 4
Whitham, G. B. 1950 The behaviour of supersonic flow past a body of revolution, far from the axis. Proc. Roy. Soc A 201, 89109.Google Scholar