Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-27T13:54:26.666Z Has data issue: false hasContentIssue false
  • English
  • Français

The motion of a fluid in a cylindrical container with a free surface following vertical impact

Published online by Cambridge University Press:  29 March 2006

Jerome H. Milgram
Jerome H. Milgram
Affiliation:
Department of Naval Architecture, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Get access Rights & Permissions [Opens in a new window]

Abstract

The effect of a sudden change in vertical velocity of a vessel partially filled with fluid is considered. It is shown that very small free surface disturbances can be amplified so strongly by a velocity change that instability can occur. This instability frequently causes a jet to emanate from the free surface. Conditions causing free surface disturbances in a vessel in free fall are considered and it is shown that a contact angle between the fluid and the wall of the vessel different from ½π radians can distort the surface in such a way that the amplification and instability upon vertical impact results in a central jet. The results of experiments of this effect are shown. The generation of waves due to transient side wall motions, such as those that might result from fluid pressure at impact, are considered in the appendix. It is shown that such waves would have a different form than those observed in the experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 37 , Issue 3 , 10 July 1969 , pp. 435 - 448
Copyright
© 1969 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

Benjamin, T. B. & Ursell, F. 1954 The stability of the plane free surface of a liquid in vertical periodic motion. Proc. Roy. Soc. A 205, 505.Google Scholar
Dodge, F. D., Kana, D. D. & Abramson, H. N. 1965 Liquid surface oscillations in longitudinally excited rigid cylindrical containers. AIAA J. 3, 685.Google Scholar
Johnson, V. 1965 Cavitation. Fourteenth American Towing Tank Conference.
Knapp, R. T. 1958 Cavitation and nuclei. Trans. A.S.M.E. p. 1315.Google Scholar
Lewis, D. J. 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. II. Proc. Roy. Soc. A 202, 81.Google Scholar
Rayleigh, Lord 1879 On the instability of jets. Proc. London Math. Soc. 10, 4.Google Scholar
Taylor, G. I. 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I. Proc. Roy. Soc. A 201, 192.Google Scholar
Taylor, G. I. 1953 An experimental study of standing waves. Proc. Roy. Soc. A 218, 44.Google Scholar