Fluid Dynamics

, Volume 30, Issue 3, pp 447–452 | Cite as

The Cauchy-Poisson problem in electrohydrodynamics

  • S. V. Nesterov
  • A. Yu. Yakimov
Article
  • 33 Downloads

Abstract

The Cauchy-Poisson problem of wave propagation along the interface between two fluids under the action of an electric field is solved for the case in which the field strength is below a certain critical value at which a horizontal interface loses stability. The upper fluid layer is an ideal dielectric, while the lower one is an ideal conductor. For the shape of the wave crest a solution in integral form is obtained. Numerical results concerning the spatial-temporal wavefield pattern are also presented.

Keywords

Fluid Dynamics Field Strength Wave Propagation Crest Integral Form 

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References

  1. 1.
    Lord Rayleigh, “On the equilibrium of liquid conducting masses charged with electricity,”Phil Mag.,14, 184 (1882).Google Scholar
  2. 2.
    G. I. Taylor and A. D. McEwan, “The stability of a horizontal fluid interface in a vertical electric field,”J. Fluid Mech.,22, 1 (1965).Google Scholar
  3. 3.
    L. D. Landau and E. M. Lifshitz,Continuum Electrodynamics [in Russian], Gostekhizdat, Moscow (1957).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • S. V. Nesterov
    • 1
  • A. Yu. Yakimov
    • 1
  1. 1.Moscow

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