Geostrophic versus MDH models.

Thierry Alboussière (1)

1 LGIT - Laboratoire de Géophysique Interne et Tectonophysique

Low magnetic Reynolds number magnetohydrodynamic (MHD) flows and low Rossby number rotating flows share a number of common features. Both are subjected to a strong linear force: Lorentz or Coriolis. From an energetic point of view, they are very different, as Lorentz forces are dissipative in nature (Joule dissipation adding to viscous dissipation) while Coriolis forces are purely conservative. Both forces however tend to favour a two-dimensional (2D) flow, independent of the direction of the applied magnetic field or rotation axis.

Thierry Alboussière. Geostrophic versus MDH models.. S. Molokov, R. Moreau, H. K. Moffatt. Magnetohydrodynamics. Historical Evolution and Trends, Springer, pp.195 à 209, 2007, Fluids Mechanics and Its Applications vol. 80, ⟨10.1007/978-1-4020-4833-3_11⟩. ⟨insu-00345402⟩