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A model of low-frequency rotating magnetic field with a weak axial gradient

Priede, J.; Gerbeth, G.

We introduce a model of rotating magnetic field with a weak axial gradient which approximates the field generated by a slightly conical and sufficiently long inductor. The axial variation of the free-space field is assumed to be weak and its amplitude is approximated by the first linear term of expansion in a power series of the axial coordinate. This allows us to obtain an analytic solution for the azimuthal harmonics of the induced scalar electric potential and the azimuthal driving force in a cylinder of finite length. The results are verified by comparison with a numerical solution obtained by a Chebyshev-tau method.

  • Magnetohydrodynamics 41(2005)2, 189-198

Permalink: https://www.hzdr.de/publications/Publ-7526
Publ.-Id: 7526