Propagation of internal Alfvenacousticgravity waves in a perfectly conducting isothermal compressible fluid
Abstract
The paper studies the propagation of internal Alfvenacousticgravitational waves in the presence of an aligned magnetic field in a compressible stratified inviscid perfectly conducting isothermal atmosphere where the mean horizontal velocity varies only with height. The Dopplershifted frequencies at which the waves exhibit singular properties are determined, and the singularities are resolved by applying the analysis of Booker and Bretherton (1967). The absorption of such waves near the critical levels is investigated by means of the momentumtransfer method, the groupvelocity approach, and the wavenormal technique. The results show that the waves are completely absorbed as they pass through two of the critical levels, but will pass through the other two critical levels without attenuation. It is concluded that the number of critical levels is increased by the combined effect of compressibility and the magnetic field.
 Publication:

Journal of Fluid Mechanics
 Pub Date:
 January 1976
 DOI:
 10.1017/S0022112076001286
 Bibcode:
 1976JFM....73..125R
 Keywords:

 Compressible Fluids;
 Conducting Fluids;
 Gravity Waves;
 Isothermal Flow;
 Magnetoacoustic Waves;
 Magnetohydrodynamic Waves;
 Compressibility Effects;
 Doppler Effect;
 Group Velocity;
 Inviscid Flow;
 Magnetic Fields;
 Momentum Transfer;
 Singularity (Mathematics);
 Wave Propagation;
 Plasma Physics;
 WAVES;
 ACOUSTIC WAVES;
 GRAVITY;
 MAGNETIC FIELDS;
 THEORY