Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-19T09:06:41.526Z Has data issue: false hasContentIssue false
  • English
  • Français

Stability of a viscous liquid curtain

Published online by Cambridge University Press:  20 April 2006

S. P. Lin
S. P. Lin
Affiliation:
Clarkson College of Technology, Potsdam, N.Y. 13676
Get access Rights & Permissions [Opens in a new window]

Abstract

The stability of a viscous liquid curtain falling down steadily under the influence of gravity is investigated. Both spatially and temporally changing disturbances are considered in the linear analysis. Only the spatially growing sinuous disturbances whose group velocity points toward upstream are unstable. The group velocity is in the upstream direction only when the Weber number of the curtain flow exceeds ½. The predicted critical Weber number agrees completely with that found experimentally by Brown (1961). The viscosity is shown to have the dual roles of increasing the amplification rate as well as the damping rate of the disturbances.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 104 , March 1981 , pp. 111 - 118
Copyright
© 1981 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

Brown, D. R. 1961 J. Fluid Mech. 10, 297.
Clark, C. J. & Dombrowski, N. 1972 Proc. Roy. Soc. A 329, 467.
Crapper, G. D., Dombrowski, N., Jepson, W. P. & Pyott, G. A. D. 1973 J. Fluid Mech. 57, 671.
Crapper, G. D., Dombrowski, N. & Pyott, G. A. D. 1975 Proc. Roy. Soc. A 342, 209.
Gaster, M. 1962 J. Fluid Mech. 14, 222.
Krantz, W. B. 1975 A.I.Ch.E. J. 21, 179.
Lin, S. P. 1975 A.I.Ch.E. J. 21, 178.
Taylor, G. I. 1959a Proc. Roy. Soc. A 253, 289.
Taylor, G. I. 1959b Proc. Roy. Soc. A 253, 296.
Taylor, G. I. 1959c Proc. Roy. Soc. A 253, 313.
Weihs, D. 1978 J. Fluid Mech. 87, 289.