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Ferrohydrodynamics: Testing a third magnetization equation

2001/06/20 by Mark I. Shliomis, M. I. Shliomis · 3 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Condensed matter physics #Field (mathematics) #Fokker–Planck equation #Geomagnetism and Paleomagnetism Studies #Magnetic Properties and Applications #Magnetic field #Magnetization #Mathematics #Partial differential equation #Physics #Quantum mechanics #Thermodynamics #Viscosity #Vortex #Vorticity #Vorticity equation #cond-mat.mtrl-sci #cond-mat.soft

paper · pdf · doi:10.1103/physreve.64.060501

4 pages, 3 figures, Submitted to Phys. Rev. E

arxiv created 2001/06/20 · openalex publication_date 2001/11/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A new magnetization equation recently derived from irreversible thermodynamics is employed to the calculation of an increase of ferrofluid viscosity in a magnetic field. Results of the calculations are compared with those obtained on the basis of two well-known magnetization equations. One of the two was obtained phenomenologically, another one was derived microscopically from the Fokker-Planck equation. It is shown that the third magnetization equation yields a quite satisfactory description of magnetiviscosity in the entire region of magnetic-field strength and the flow vorticity. This equation turns out to be valid-like the microscopically derived equation but unlike the former phenomenological equation-even far from equilibrium, and so it should be recommended for further applications.

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