Physics – Fluid Dynamics
Scientific paper
Oct 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006gapfd.100..485r&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics, vol. 100, Issue 4, p.485-502
Physics
Fluid Dynamics
2
Magnetohydrodynamics, Rotating Fluids, General Tensors
Scientific paper
It has long been known that, when diffusive effects are relatively unimportant, wave motions in rotating fluids can conveniently be described using a hybrid Eulerian/Lagrangian formalism in which the trajectory of a fluid particle is mapped onto a suitably chosen reference trajectory. The transformed equations can represent a mapping to general, time-dependent, non-Euclidean coordinates, for which the techniques of general tensor analysis can be applied. The method is demonstrated here for magnetohydrodynamic (MHD) systems. A generalization of the alpha-effect of mean field electrodynamics is derived, in which ohmic diffusion creates electric currents from magnetic field in the reference system. An analogous effect is identified in which viscous diffusion creates vorticity from velocity in the reference system.
Roberts Paul H.
Soward Andrew M.
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