Numerical modelling of magnetic shielding by a cylindrical ferrofluid layer

• Published in: Mathematical modelling and analysis Vol. 24; no. 2; pp. 155 - 170
• Main Authors: Lavrova, Olga, Polevikov, Viktor, Polevikov, Sergei
• Format: Journal Article
• Language: English
• Published: Vilnius Vilnius Gediminas Technical University 05.02.2019
• Subjects: boundary element method; Composite materials; Electromagnetic fields; Electromagnetism; Electrons; Ferroalloys; Ferrofluids; finite difference method; Magnetic fields; magnetic fluid; Magnetic shielding; Magnetism; Magnetostatics; Mathematical models; Observations; Properties; shielding; Thickness; transmission magnetostatics problem; magnetic fluid; shielding; boundary element method; finite difference method; transmission magnetostatics problem
• ISSN: 1392-6292; 1648-3510
• DOI: 10.3846/mma.2019.011

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.