Rayleigh-Taylor instability in dielectric fluids

Force on dielectric fluids in the presence of a nonuniform electric field is shown to reduce their specific weights. An appropriately chosen field gradient makes the specific weights of superposed fluids equal and prevents Rayleigh-Taylor instability. We derive the dispersion relation for perturbati...

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Bibliographic Details
Published in:Physics of fluids (1994) 2010-06, Vol.22 (6), p.064102-064102-10
Main Authors: Joshi, Amey, Radhakrishna, M. C., Rudraiah, N.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Interfacial instability
Physics
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Summary:Force on dielectric fluids in the presence of a nonuniform electric field is shown to reduce their specific weights. An appropriately chosen field gradient makes the specific weights of superposed fluids equal and prevents Rayleigh-Taylor instability. We derive the dispersion relation for perturbation at the interface of superposed dielectric fluids, within limits of linear theory, successively for ideal, Newtonian, and those with stratified viscosity. A dimensionless dielectric number is shown to determine the stability of the arrangement.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.3435342