Hostname: page-component-7479d7b7d-68ccn Total loading time: 0 Render date: 2024-07-08T21:35:46.300Z Has data issue: false hasContentIssue false
  • English
  • Français

Inviscid fluid flow in an accelerating cylindrical container

Published online by Cambridge University Press:  28 March 2006

R. E. Moore  and
L. M. Perko
R. E. Moore
Affiliation:
Lockheed Missiles and Space Company, Palo Alto, California
L. M. Perko
Affiliation:
Lockheed Missiles and Space Company, Palo Alto, California
Get access Rights & Permissions [Opens in a new window]

Abstract

The problem of the axially symmetric irrotational flow of an inviscid incompressible fluid with a free surface in a circular cylindrical container accelerating parallel to its axis is considered. A numerical procedure is developed and some interesting motions exhibiting the development of breakers, splashing and sustained oscillations of the surface are obtained by machine computation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 2 , June 1965 , pp. 305 - 320
Copyright
© 1965 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.)

References

Concus, P. 1962 Standing capillary-gravity waves of finite amplitude. J. Fluid Mech. 14, 568–76.Google Scholar
Concus, P. 1964 Standing capillary-gravity waves of finite amplitude: corrigendum. J. Fluid Mech. 19, 264–66.Google Scholar
Courant, R. & Hilbert, D. 1962 Methods of Mathematical Physics, vol. ii. New York: Interscience.
Ito, S. 1957 Fundamental solutions of parabolic differential equations and boundary value problems. Jap. J. Math. 27, 55.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics. London: Pergamon Press.
Satterlee, H. M. & Reynolds, W. C. 1964 The dynamics of the free liquid surface in cylindrical containers under strong capillary and weak gravity conditions. Stanford University Department of Mech. Eng., Thermo. Sci. Div. T.R. no. LG-2.
Stoker, J. J. 1957 Water Waves. New York: Interscience.
Walsh, J. L. 1956 Interpolation and Approximation. Rhode Is.: American Math. Soc. Publication.