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Ferrohydrodynamics: testing a third magnetization equation.

M I Shliomis1

  • 1Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
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A novel magnetization equation accurately describes ferrofluid magnetoviscous behavior across various magnetic field strengths and flow conditions. This new approach, rooted in irreversible thermodynamics, offers a more reliable model than existing phenomenological or Fokker-Planck derived equations.

Area of Science:

  • Thermodynamics
  • Fluid Dynamics
  • Magnetohydrodynamics

Background:

  • Ferrofluids exhibit changes in viscosity when exposed to magnetic fields, a phenomenon known as magnetoviscous effect.
  • Existing models for magnetoviscous behavior include phenomenological and microscopic (Fokker-Planck) approaches.
  • These models have limitations, particularly in describing behavior far from thermodynamic equilibrium.

Purpose of the Study:

  • To evaluate a new magnetization equation derived from irreversible thermodynamics for calculating ferrofluid magnetoviscosity.
  • To compare the predictive accuracy of this new equation against established phenomenological and Fokker-Planck based equations.
  • To determine the applicability of the new equation across a wide range of magnetic field strengths and flow conditions.

Main Methods:

Related Experiment Videos

  • Utilized a newly derived magnetization equation based on irreversible thermodynamics.
  • Performed calculations for the increase in ferrofluid viscosity under magnetic field influence.
  • Compared the results with calculations from a phenomenological magnetization equation and a microscopic equation derived from the Fokker-Planck equation.

Main Results:

  • The new magnetization equation provides a satisfactory description of magnetoviscosity.
  • This accuracy is maintained across the entire range of magnetic field strengths and flow vorticities.
  • The equation demonstrates validity even in non-equilibrium conditions, similar to the Fokker-Planck derived equation.

Conclusions:

  • The new magnetization equation derived from irreversible thermodynamics is a robust tool for predicting ferrofluid magnetoviscosity.
  • It outperforms the phenomenological approach, especially in non-equilibrium scenarios.
  • The equation's validity and accuracy make it suitable for broader applications in ferrofluid research and engineering.