2D models for MHD flows

Alban Pothérat, Joël Sommeria, René Moreau

Research output: Contribution to journalArticlepeer-review


A new model is proposed for low Rm MHD flows which remain turbulent even in the presence of a magnetic field. These flows minimize the Joule dissipation because of their tendency to become two-dimensional and, therefore to suppress all induction effects. However, some small three- dimensional effects, due to inertia and to the electric coupling between the core flow and the Hartmann layers, are present even within the core flow. This new model, which may be seen as an improvement of the Sommeria-Moreau 2D model, introduces this three-dimensionality as a small perturbation. It yields an equation for the average velocity over the magnetic field lines, whose solution agrees well with available measurements performed on isolated vortices. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

Original languageEnglish
Pages (from-to)129-134
Number of pages6
JournalComptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, Physique, Chimie, Astronomie
Issue number2
Publication statusPublished - Feb 2000
Externally publishedYes

Bibliographical note

Copyright © 2000 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.


  • Ekman recirculation
  • Hartmann layer
  • Isolated vortex
  • Non-linear effects
  • Quasi 2D flows

ASJC Scopus subject areas

  • Chemistry(all)
  • Physics and Astronomy(all)


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