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Levitation of Magnets and Paramagnetic Bodies in Vessels Filled with Magnetic Fluid

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Abstract

Formulas are obtained for the forces and moments acting on a spherical body made of a paramagnetic material in an uniform applied magnetic field and a magnet in a spherical vessel filled with magnetic fluid. An approximate formula is found for the force acting on bodies in ellipsoidal and cylindrical vessels or in a plane channel with a magnetic fluid in an uniform magnetic field. An analogy between the forces acting on a magnet and a paramagnetic body is demonstrated. The possibility of levitation of magnets and paramagnetic bodies in a vessel with a magnetic fluid is investigated.

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REFERENCES

  1. R. E. Rosensweig, “Buoyancy and stable levitation of a magnetic body immersed in a magnetizable fluid,” Nature, 210, No. 5036, 613–614 (1966).

    Google Scholar 

  2. E. Ya. Blum, M. M. Maiorov, and A. O. Cebers, Magnetic Fluids [in Russian], Zinatne, Riga (1989).

    Google Scholar 

  3. A. O. Cebers, “Levitation of a permanent cylindrical magnet in a ferromagnetic fluid,” 9th Riga Conference on Magnetohydrodynamics [in Russian], Institute of Physics, Academy of Sciences of Latvian SSR, Salaspils, 1, 129–130 (1978).

    Google Scholar 

  4. V. A. Naletova, L. A. Moiseeva, and V. A. Turkov, “Levitation of a magnet in a magnetic fluid in a spherical vessel,” Vestn. MGU, Ser. 1, Matematika & Mekhanika, No. 4, 32–34 (1997).

    Google Scholar 

  5. V. A. Naletova and V. A. Turkov, “Forced magnet oscillation in a vessel filled with magnetic fluid,” Proc. Math. Inst., Rus. Acad. Sci, 223, 233–237 (1998).

    Google Scholar 

  6. A. N. Vislovich, S. I. Lobko, and G. S. Lobko, “Interaction of solid bodies suspended in a magnetic fluid in an uniform magnetic field,” Magnitnaya Gidrodinamika, No. 4, 43–51 (1986).

    Google Scholar 

  7. V. V. Batygin and I. N. Toptygin, Book of Problems in Electrodynamics [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  8. V. G. Strugov and V. V. Chekanov, “On the interaction of nonmagnetic bodies in a magnetic fluid,” 11th Riga Conference on Magnetohydrodynamics. III. Magnetic Fluids [in Russian], Institute of Physics, Academy of Sciences of Latvian SSR, Salaspils, 103–106 (1984).

    Google Scholar 

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Authors
  1. A. S. Kvitantsev
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  2. V. A. Naletova
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  3. V. A. Turkov
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Kvitantsev, A.S., Naletova, V.A. & Turkov, V.A. Levitation of Magnets and Paramagnetic Bodies in Vessels Filled with Magnetic Fluid. Fluid Dynamics 37, 361–368 (2002). https://doi.org/10.1023/A:1019698205112

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  • DOI: https://doi.org/10.1023/A:1019698205112

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