Nonlinear magnetohydrodynamic waves in a steady zonal circulation for a shallow fluid shell on the surface of a rotating sphere

Details Nonlinear magnetohydrodynamic waves in a steady zonal circulation for a shallow fluid shell on the surface of a rotating sphere Nonlinear magnetohydrodynamic waves in a steady zonal circulation for a shallow fluid shell on the surface of a rotating sphere

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...322..862l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 322, Nov. 15, 1987, p. 862-869. NASA-supported research.

Physics

Plasma Physics

15

Magnetohydrodynamic Waves, Plasma Physics, Rotating Spheres, Steady Flow, Earth Core, Magnetic Fields, Partial Differential Equations, Photosphere, Scalars, Stream Functions (Fluids)

Scientific paper

This paper considers two-dimensional nonlinear MHD waves of large horizontal spatial scales for a thin magnetofluid layer on the surface of a rotating sphere. The 'shallow fluid' hydrodynamic equations are generalized to include the effects of magnetic fields, and it is shown that the resulting MHD equations can be reduced to a single scalar equation for a stream function involving several free functions. For special choices of these free functions, two kinds of finite-amplitude MHD waves are obtained, propagating in the azimuthal direction relative to the uniformly rotating background atmosphere in the presence of a background zonal magnetic field and a steady differential zonal flow. These two kinds of MHD waves are fundamentally due to the joint effects of the uniform rotation of the background atmosphere and background magnetic field; the first is an inertial wave of the Rossby (1939) and Haurwitz (1940) type, modified by the presence of the background zonal magnetic field, while the second is a magnetic Alfven-like wave which is modified by the uniform rotation of the background atmosphere.

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