Theory of Homogeneous Dynamos in a Rotating Liquid Sphere

Theory of Homogeneous Dynamos in a Rotating Liquid Sphere

A spherical harmonic analysis is made of the hydrodynamic equation governing the flow of an incompressible liquid in a rotating sphere in the presence of the magnetic Lorentz force. Nonlinear partial differential equations are derived for the functions Sn(r, t) and Tn(r, t) entering the spherical ha...

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Veröffentlicht in:Proceedings of the National Academy of Sciences - PNAS 1975-04, Vol.72 (4), p.1496-1500
Hauptverfasser: Pekeris, C. L., Accad, Y.
Format: Artikel
Sprache:eng
Schlagworte:
Curl
Energy
Hydrodynamics
Liquids
Lorentz force
Magnetic fields
Physical Sciences: Geophysics
Rotating generators
Sine function
Spherical harmonics
Velocity distribution
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Zusammenfassung:A spherical harmonic analysis is made of the hydrodynamic equation governing the flow of an incompressible liquid in a rotating sphere in the presence of the magnetic Lorentz force. Nonlinear partial differential equations are derived for the functions Sn(r, t) and Tn(r, t) entering the spherical harmonic representation of the velocity field.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.72.4.1496