Abstract
An analysis is made of the behavior of a magnetic droplet suspended in a liquid in a high-frequency uniform, rotating magnetic field. In weak fields the droplet is spheroidal while in strong fields it is disk-shaped. The observed change in the shape of the droplet as the amplitude of the field increases depends on the magnetic permeability μ of the liquid and takes place according to three scenarios: (a) for small μ the spheroidal droplet is continuously converted into a disk; (b) for intermediate μ there is a range of fields in which the droplet becomes a triaxial ellipsoid with its major axis lying in the plane of the field, and spheroid-triaxial ellipsoid-disk transitions take place as a result of a soft bifurcation; (c) at high μ both transitions are hard. Theoretical calculations are made of the stability curve for the various droplet shapes. It is predicted that a change in the types of droplet shape bifurcations will occur in strong fields. A comparison is made with the experimental data.
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References
H. Lamb, Hydrodynamics (Dover, NewYork, 1945; Gostekhizdat, Moscow, 1947).
T. G. Wang, A. V. Anilkumar, C. P. Lee, and K. C. Lin, J. Fluid Mech. 276, 389 (1994).
K. Ohsaka and E. H. Trinh, Phys. Rev. Lett. 84, 1700 (2000).
M. I. Shliomis, Usp. Fiz. Nauk 112, 427 (1974) [Sov. Phys. Usp. 17, 153 (1974)].
A. V. Lebedev and K. I. Morozov, Pis’ma Zh. Éksp. Teor. Fiz. 65, 150 (1997) [JETP Lett. 65, 160 (1997)].
J.-C. Bacri and D. Salin, J. Phys. Lett. 43, 649 (1982).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1992; Pergamon, New York, 1984).
J.-C. Bacri, A. Cebers, and R. Perzynski, Phys. Rev. Lett. 72, y2705 (1994).
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 118, No. 5, 2000, pp. 1188–1192.
Original Russian Text Copyright © 2000 by Morozov, Lebedev.
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Morozov, K.I., Lebedev, A.V. Bifurcations of the shape of a magnetic fluid droplet in a rotating magnetic field. J. Exp. Theor. Phys. 91, 1029–1032 (2000). https://doi.org/10.1134/1.1334993
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DOI: https://doi.org/10.1134/1.1334993