Hydromagnetic symmetrical terms for the zonal kinetic energy equation

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Fischer, Hans J. E. (2011)

The symmetrical formulation of the mean zonal kinetic energy equation, derived by Starr & Gaut, is extended to include magnetic effects that give rise to additional energy integrals in the balance equations of a hydromagnetic fluid, confined to the polar cap of a rotating spherical shell. The form of these additional magnetic energy integrals is mathematically and physically analogous to the form of the energy integrals that appear in the purely hydrodynamic part of the energy equation. Various aspects of the equation are discussed when magnetic effects are included.DOI: 10.1111/j.2153-3490.1971.tb00602.x
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