On vertical hydromagnetic waves in a compressible atmosphere under an oblique magnetic field

Details On vertical hydromagnetic waves in a compressible atmosphere under an oblique magnetic field On vertical hydromagnetic waves in a compressible atmosphere under an oblique magnetic field

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gapfd..32..217c&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 32, no. 3-4, 1985, p. 217-272.

Physics

Fluid Dynamics

26

Compressible Fluids, Gravity Waves, Magnetic Fields, Magnetoacoustic Waves, Magnetohydrodynamic Waves, Wave Equations, Asymptotic Properties, Beta Factor, Propagation Velocity, Standing Waves, Traveling Waves, Wave Reflection, Waveforms

Scientific paper

Standing and propagating vertical magneto-acoustic-gravity waves in compressible atmospheres under constant magnetic fields of arbitrary orientation are investigated analytically. A technique for the exact solution of linear wave equations with exponential or double-power variable coefficients is developed and applied, and the existence of fourth-order hydromagnetic-gravity waves in addition to Alfven waves is demonstrated for oblique fields, with decoupling to second-order acoustic waves for vertical fields and magnetosonic-gravity waves for horizontal fields. Consideration is given to separation or decomposition by cutoff frequencies; the existence and location of critical levels for the exponential-wave speed case; dynamic and magnetic wave components; frequencies and waveforms of reflected modes; wave variables and energy densities; the effects of plasma beta, magnetic-field inclination, and frequency; and the evolution of amplitude and phase with altitude.

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