Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-06T03:48:08.885Z Has data issue: false hasContentIssue false
  • English
  • Français

Waves on the surface of a compressible liquid

Published online by Cambridge University Press:  24 October 2008

H. Bondi
H. Bondi
Affiliation:
Trinity CollegeCambridge
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Lord, Rayleigh. Phil. Mag. (6), 18 (1909), 1.Google Scholar
(2)Pidduck, F. B.Proc. Roy. Soc. A, 83 (1910), 347.Google Scholar
(3)Pidduck, F. B.Proc. Roy. Soc. A, 86 (1912), 396.Google Scholar
(4)Hadamard, J.Lectures on Cauchy's Problem (Oxford University Press, 1923), 70, 73.Google Scholar
(5)Le Roux, , J. Match. (5), 4 (1898), 402.Google Scholar
(6)Lamb, H.Hydrodynamics, §§ 261, 262, 264.Google Scholar