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Ferrohydrodynamics: testing a third magnetization equation
1Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel.
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.