Hostname: page-component-6bb9c88b65-vqtzn Total loading time: 0 Render date: 2025-07-26T12:31:51.769Z Has data issue: false hasContentIssue false
  • English
  • Français

The Cauchy–Poisson problem for a viscous liquid

Published online by Cambridge University Press:  28 March 2006

John W. Miles
John W. Miles
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla Also Department of Aerospace and Mechanical Engineering Sciences.
Get access Rights & Permissions [Opens in a new window]

Abstract

The axisymmetric, free-surface response of a semi-infinite viscous liquid to either a point impulse or an initial displacement of zero net volume is calculated. The asymptotic disturbance is resolved into three components: (i) a damped gravity wave, which represents a primary balance between gravitational and inertial forces with secondary, but cumulative, modification by viscous forces; (ii) a diffusive motion, which represents a balance between viscous and inertial forces; (iii) a creep wave, which represents a balance between gravitational and viscous forces. Van Dorn has suggested that the results may be relevant to the concentric circular ridges that surround the crater Orientale on the Moon.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 2 , 12 November 1968 , pp. 359 - 370
Copyright
© 1968 Cambridge University Press

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.)

Article purchase

Temporarily unavailable

References

Basset, A. B. 1888 A Treatise on Hydrodynamics, vol. 2. New York: Dover Publications (1961 reprint).
Cole, R. H. 1948 Underwater Explosions. New York: Dover Publications (1965 reprint).
Copson, E. T. 1965 Asymptotic Expansions. Cambridge University Press.
ERDÉLYI, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1953 Tables of Integral Transforms, vol. 2. New York: McGraw-Hill.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Sretenskii, L. 1941 Concerning waves on the surface of a viscous fluid (in Russian). Trudy Tsentral. Aèro-Gidrodinam. Inst. No. 541, 1–34.Google Scholar
VAN DORN, W. G. 1968 Nature (in the Press).