Nonlinear laminar 'dynamos' linear in one coordinate
File(s)
Accepted version
Author(s)
Mestel, Andrew
Arslan, Ali
Henriques Vaz, Raquel
Mancini, Eduardo
Type
Journal Article
Abstract
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.
Date Issued
2022
Date Acceptance
2022-12-13
Citation
Magnetohydrodynamics, 2022, 58 (4), pp.435-443
ISSN
0024-998X
Publisher
Consultants Bureau
Start Page
435
End Page
443
Journal / Book Title
Magnetohydrodynamics
Volume
58
Issue
4
Copyright Statement
Copyright: Institute of Physics, University of Latvia
Identifier
http://mhd.sal.lv/contents/2022/4/index.html
Publication Status
Published
Date Publish Online
2022