Abstract
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.
Highlights
One of the most important fields of scientific research is a study of electromagnetic properties of composite materials used in radio and electronic engineering
The computational algorithm is based on a coupled method of finite differences and boundary elements
Numerical results demonstrate that in weak fields (H0 < 102 A/m) the shielding effectiveness factor practically preserves a constant value, which depends on the initial susceptibility χ of the ferrofluid
Summary
One of the most important fields of scientific research is a study of electromagnetic properties of composite materials used in radio and electronic engineering. It requires development of modelling methods and computational techniques for processes of interaction between electromagnetic fields and objects of different geometries and material structures which are important for Copyright c 2019 The Author(s). Computational approaches of handling equilibrium states of ferrofluid systems with different geometries and free surfaces – drop, layer, capillary – have been developed in [16, 17, 18, 19, 23] for uniform applied magnetic fields
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