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

J. Priede, G. Gerbeth

Research output: Contribution to journalArticle

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Abstract

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. Figs 3, Refs 5.
Original languageEnglish
Pages (from-to)189-198
Number of pages10
JournalMagnetohydrodynamics
Volume41
Issue number2
DOIs
Publication statusPublished - 2005
Externally publishedYes

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power series
inductors
scalars
low frequencies
harmonics
gradients
expansion
electric potential
magnetic fields

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

A model of low-frequency rotating magnetic field with a weak axial gradient. / Priede, J.; Gerbeth, G.

In: Magnetohydrodynamics, Vol. 41, No. 2, 2005, p. 189-198.

Research output: Contribution to journalArticle

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