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Waves on the surface of a compressible liquid

Published online by Cambridge University Press:  24 October 2008

H. Bondi
H. Bondi
Affiliation:
Trinity CollegeCambridge
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Extract

The possibility of the propagation of disturbances along a free surface with a velocity exceeding the velocity of sound in the liquid is examined. Simple necessary conditions for the occurrence of such ultrasonic propagation are found in terms of the boundary condition. It is shown that the conditions are not satisfied in the case of gravity waves, and a detailed examination is made of the pressure and surface waves due to a localized disturbance. Capillary waves are shown to satisfy the conditions for ultrasonic propagation, the existance of a ‘faster-than-sound’ wave is proved, and its main properties are examined.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 43 , Issue 1 , January 1947 , pp. 75 - 95
Copyright
Copyright © Cambridge Philosophical Society 1947

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References

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