Motion of a magnetizable liquid in a rotating magnetic field

  • V. M. Suyazov


Moskowitz and Rosensweig [1] describe the drag of a magnetic liquid — a colloidal suspension of ferromagnetic single-domain particles in a liquid carrier — by a rotating magnetic field. Various hydrodynamic models have been proposed [2, 3] to describe the macroscopic behavior of magnetic suspensions. In the model constructed in [2] it was assumed that the intensity of magnetization is always directed along the field so that the body torque is zero. Therefore, this model cannot account for the phenomenon under consideration. We make a number of simplifying assumptions to discuss the steady laminar flow of an incompressible viscous magnetizable liquid with internal rotation of particles moving in an infinitely long cylindrical container in a rotating magnetic field. The physical mechanism setting the liquid in motion is discussed. The importance of unsymmetric stresses and the phenomenon of relaxation of magnetization are emphasized. The solution obtained below is also a solution of the problem of the rotation of a polarizable liquid in a rotating electric field according to the model in [3].


Magnetic Field Torque Industrial Mathematic Laminar Flow Physical Mechanism 
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Literature cited

  1. 1.
    R. Moskowitz and R. E. Rosensweig, “Nonmechanical torque-driven flow of a ferromagnetic fluid by an electromagnetic field,” Appl. Phys. Lett.,11, No. 10, 301–303 (1967).Google Scholar
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    J. Z. Neuringer and R. E. Rosensweig, “Ferrohydrodynamics,” Phys. Fluids,7, No. 12 (1964).Google Scholar
  3. 3.
    V. M. Suyazov, “Nonsymmetric model of a viscous electromagnetic liquid,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 2 (1970).Google Scholar
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    V. M. Zaitsev and M. I. Shliomis, “Drag of a ferromagnetic suspension by a rotating field,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 5 (1969).Google Scholar
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    M. I. Shliomis, “Hydrodynamics of a liquid with intrinsic rotation,” Zh. Éksp. Teor. Fiz., 51, No. 1 (1965).Google Scholar
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    L. I. Sedov, “Mathematical methods for constructing new models of continuous media,” Usp. Matem. Nauk,20, No. 5 (1965).Google Scholar

Copyright information

© Consultants Bureau 1973

Authors and Affiliations

  • V. M. Suyazov
    • 1
  1. 1.Voronezh

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