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Ferrofluids

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Electrodynamics of Continua II

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Ferrofluids are industrially prepared fluids which consist of highly concentrated, stable colloidal suspensions of fine magnetic particles in a suitable fluid carrier (water, kerosine, diester, etc.). these are, essentially, nonconducting substances which globally present a temperature–dependent magnetization at a constant applied magnetic fields. they exhibit a nonlinear magnetic behavior, with a saturation effect, for sufficiently strong applied magnetic fields.

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Notes

  1. Medvedev and Krakov [1983] and Zimmels [1983].

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  2. Jenkins [1972] has derived (12.2.16) by using a different thermodynamical approach. The present derivation follows Maugin [1978c], see also [1974c] for relativistic spinning fluids.

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  3. See Maugin [1978i] and Maugin and Drouot [1983].

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  4. We follow Brancher [1980a].

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  5. Equation (12.5.10) was first derived by Neuringer and Rosenweig [1964] by means of a classical thermodynamical approach different from the one given here. For some early discussions of ferrofluids, see Rosensweig [1966], [1970].

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  6. Compare (12.6.4) and (11.5.2).

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  7. Compare (12.6.9) and (11.5.6).

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  8. Neuringer and Rosenweig [1964].

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  9. Neuringer and Rosenweig (1964).

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  10. See Resler and Neuringer [1964].

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  11. Neuringer and Rosensweig [1964].

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  12. See Whittaker and Watson [1946, p. 373].

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  13. Neuringer [1966].

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  14. Neuringer [1966].

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  15. See Eringen [1980, p. 276].

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  16. This can also be derived in ferrofluids by accounting for density gradients in the constitutive theory (see Maugin [1978i]).

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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). Ferrofluids. In: Electrodynamics of Continua II. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3236-0_4

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  • DOI: https://doi.org/10.1007/978-1-4612-3236-0_4

  • 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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