ON MAGNETIC FIELD GENERATION BY A CONDUCTING FLUID MOTION WITH INTERNAL SCALING. II\@

V. A. Zheligovsky

Abstract

The paper is the continuation of a previous paper with the same title. A complete asymptotic decomposition of induction operator eigenvalues and eigenfunctions is constructed in the kinematic dynamo problem of magnetic field generation with the $\alpha$ effect by a motion of a conducting fluid with an internal scaling along three spatial variables in a sphere. Formulas derived here describe the mean value of the magnetic field excited in the hydromagnetic system under study. In some cases these formulas are the same as Braginsky's generation formulas, though the underlying dynamo mechnism is quite different. The theory developed here can be used to interpret magnetic fields of cosmic bodies having liquid electrically conducting cores or sphericall shells where the velocity with a specific internal scaling is assumed.

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Computational Seismology, Vol. 2.