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Nonlinear laminar `dynamos' linear in one coordinate

A. J. Mestel - A. Arslan - R. H. Vaz - E. Mancini

Mathematics Department, Imperial College London SW7 2BZ, UK

We consider two self-similar flow fields, for which the Navier--Stokes equations reduce to ODEs. If the magnetic field has a similar structure, then the induction equation also reduces to ODEs. The coupled system can be regarded as a kinematic dynamo problem, but also the fields grow until they saturate as exact solutions of the nonlinear system. The extent to which these solutions can be regarded as genuine dynamos is discussed. Figs 6, Refs 13.

Magnetohydrodynamics 58, No. 4, 435-444, 2022 [PDF, 0.74 Mb]

Copyright: Institute of Physics, University of Latvia
Electronic edition ISSN 1574-0579
Printed edition ISSN 0024-998X