Mathematical Modelling and Analysis (Feb 2019)

Numerical modelling of magnetic shielding by a cylindrical ferrofluid layer

  • Olga Lavrova,
  • Viktor Polevikov,
  • Sergei Polevikov

DOI
https://doi.org/10.3846/mma.2019.011
Journal volume & issue
Vol. 24, no. 2

Abstract

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A coupled method of finite differences and boundary elements is applied to solve a nonlinear transmission problem of magnetostatics. The problem describes an interaction of a uniform magnetic field with a cylindrical ferrofluid layer. Ferrofluid magnetisations, based on expansions over the Langevin law, are considered to model ferrofluids with a different concentration of ferroparticles. The shielding effectiveness factor of the cylindrical thick-walled ferrofluid layer is calculated depending on intensities of the uniform magnetic field and on thickness of the ferrofluid layer.

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