Hostname: page-component-848d4c4894-wzw2p Total loading time: 0 Render date: 2024-05-19T04:42:42.296Z Has data issue: false hasContentIssue false
  • English
  • Français

A rotating spherical liquid drop in an electric field

Published online by Cambridge University Press:  29 March 2006

C. Sozou
C. Sozou
Affiliation:
Department of Applied Mathematics and Computing Science, The University, Sheffield
Get access Rights & Permissions [Opens in a new window]

Abstract

It is shown that the equilibrium shape of an incompressible dielectric fluid drop rotating with constant angular velocity in the presence of a uniform external electric field of appropriate magnitude along the axis of rotation is spherical. For an inviscid fluid drop, the stability of this spherical configuration to small deformations is investigated by means of Chandrasekhar's virial method. We find that a rotating drop in the presence of an electric field parallel to the axis of rotation is, in some respects, more stable than when either only the electric field or only rotation is present. This is due to the fact that the application of an electric field parallel to the axis of a rotating drop, or of rotation parallel to an electric field in which a drop is immersed, shifts the instability mechanism to another normal mode.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 56 , Issue 2 , 28 November 1972 , pp. 305 - 312
Copyright
© 1972 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

Brazier-Smith, P. R. 1971 J. Fluid Mech. 50, 417.
Brazier-Smith, P. R., Jennings, S. G. & Latham, J. 1972 Proc. Roy. Soc. A 326, 393.
Calvert, R. T. & Melcher, J. R. 1969 J. Fluid Mech. 38, 721.
Chandrasekhar, S. 1965 Proc. Roy. Soc. A 286, 1.
Garton, C. G. & Krasucki, Z. 1964 Proc. Roy. Soc. A 280, 211.
Lebovitz, N. R. 1961 Astrophys. J. 134, 500.
Rayleigh, Lord1882 Phil. Mag. 14, 184.
Rosenkilde, C. E. 1969 Proc. Roy. Soc. A 312, 473.
Taylor, G. I. 1964 Proc. Roy. Soc. A 280, 383.
Taylor, G. I. 1966 Proc. Roy. Soc. A 291, 159.
Torza, R., Cox, R. G. & Mason, S. G. 1971 Phil. Trans. Roy. Soc. A 269, 295.
Zeleny, J. 1915 Proc. Camb. Phil. Soc. 18, 71.
Zeleny, J. 1917 Phys. Rev. 10, 1.