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Andreas Leschhorn, Manfred Lücke

Magnetization of Rotating Ferrofluids: Predictions of Different Theoretical Models

Keywords: Ferrofluid Cylinder, Rotation, Magnetization Equations, Nonequilibrium

We consider a ferrofluid cylinder, that is rotating with constant rotation frequency Ω = Ωe_z as a rigid body. A homogeneous magnetic field H₀ = H₀e_x is applied perpendicular to the cylinder axis e_z. This causes a nonequilibrium situation. Therein the magnetization M and the internal magnetic field H are constant in time and homogeneous within the ferrofluid. According to the Maxwell equations they are related to each other via H = H₀ − M/2. However, H and M are not parallel to each other and their directions differ from that of the applied field H₀. We have analyzed several different theoretical models that provide equations for the magnetization in such a situation. The magnetization M is determined for each model as a function of Ω and H₀ in a wide range of frequencies and fields. Comparisons are made of the different model results and the differences in particular of the predictions for the perpendicular components H_y = −M_y/2 of the fields are analyzed.

Zeitschrift für Physikalische Chemie, Oldenbourg Wissenschaftsverlag

Print ISSN: 0942-9352
Volume: 220, 02/2006
Pages: 219 - 224

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