Spherical harmonic analysis of the Navier-Stokes equation in magnetofluid dynamics

Details Spherical harmonic analysis of the Navier-Stokes equation in magnetofluid dynamics Spherical harmonic analysis of the Navier-Stokes equation in magnetofluid dynamics

Feb 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974pepi....8...75f&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 8, Issue 1, p. 75-82.

Physics

2

Scientific paper

The equation of motion (Navier-Stokes equation) for a uniformly rotating, compressible, magnetic, viscous fluid is analyzed in terms of infinite series of spherical surface harmonics. Differential equations are obtained for the radial functions of the poloidal and toroidal harmonics of the velocity, corresponding to those obtained by Bullard and Gellman for the magnetic field from the electromagnetic induction equation. This new analysis opens the way for the dynamical problem of electromagnetic induction in the earth's core to be considered by the spherical harmonic method. Present address: School of Physics and Mathematics, The University of Science of Malaysia, Penang, Malaysia.

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