On the derivation of the energy flux of linear magnetohydrodynamic waves

Details On the derivation of the energy flux of linear magnetohydrodynamic waves On the derivation of the energy flux of linear magnetohydrodynamic waves

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gapfd..32..123l&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 32, May 1985, p. 123-133.

Computer Science

Sound

4

Energy Distribution, Flux Density, Linearity, Magnetohydrodynamic Waves, Perturbation Theory, Amplitudes, Conducting Fluids, Ideal Fluids, Linear Equations, Magnetic Fields, Sound Waves

Scientific paper

New light is shed on the derivation of the energy flux of the linear MHD waves. It is shown that, according to a suggestion of Lighthill, the usual perturbation procedure, which starts from the general expression for the energy flux, need not be supplemented by an averaging procedure. As a result, it is shown that to second order in the wave amplitude, a quantity identifiable as the wave energy flux is conserved. Some of the subtleties inherent in the derivation of the perturbation energy equation are discussed.

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