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Electrohydrodynamics

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Electrodynamics of Continua II

Electrohydrodynamics—abbreviated EHD—is concerned with interactions of electric fields and free or bound (polarization) change in fluids. The electrical conductivity of such fluids may range from that of extremely good insulators (dielectrics) to that the electromagnetic part of the system is described by a quasi–static electric fields model: the dynamic currents are so small that the influence of the magnetic induction is negligible.

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Notes

  1. A particle-like approach is reviewed in Arp et al. [1980]. A continuum approach, accounting for a deformable polarizable microstructure in the fluid carrier, is developed in Drouot and Maugin [1985] and Morro et al. [1985].

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  2. See Stratton [1941, pp. 137–140].

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  3. The same results apply where the medium is incompressible and f is derivable from a potential (Felici [1969]).

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  4. See Felici [1972].

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  5. This would follow by applying the general procedure (used in Section 3.7) to (11.6.1), in order to find the corresponding surface force Fi which must be zero for equilibrium.

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  6. See Melcher and Taylor [1969, pp. 115–119].

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  7. See Stuetzer [1962].

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  8. See Felici [1972].

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  9. See Atten and Moreau [1972]. More on the same problem in Atten [1974], [1975] Lacroix et al. [1975], and Bradley [1978].

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  10. See Atten and Moreau [1972] for this involved mathematical problem.

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  11. See Fillipini et al. [1970].

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Authors and Affiliations

  1. Princeton University, Princeton, NJ, 08544, USA

    A. C. Eringen

  2. Laboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie et C.N.R.S., 75252, Paris 05, France

    G. A. Maugin

Authors
  1. A. C. Eringen
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  2. G. A. Maugin
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© 1990 Springer-Verlag New York Inc.

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Eringen, A.C., Maugin, G.A. (1990). Electrohydrodynamics. In: Electrodynamics of Continua II. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3236-0_3

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  • DOI: https://doi.org/10.1007/978-1-4612-3236-0_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7928-0

  • Online ISBN: 978-1-4612-3236-0

  • eBook Packages: Springer Book Archive

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