Gravity modified sound waves in a conducting stratified atmosphere

Computer Science – Sound

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Atmospheric Stratification, Gravitational Effects, Sound Propagation, Vertical Motion, Asymptotic Methods, Hankel Functions, Magnetic Fields, Particle Motion

Scientific paper

The paper analyzes vertically propagating sound waves in a perfectly conducting stratified atmosphere in the presence of a uniform horizontal magnetic field on the basis of the assumption that variations in particle velocity and density and magnetic field are small, permitting the linearization of the equations of motion, continuity and magnetic induction. The particle velocity satisfies a second-order differential equation which may be expressed in hypergeometric form (if a harmonic time variation for the magnetoacoustic waves is assumed) and approximate analytic solutions are obtained for the magnetic field of the waves and the particle velocity and density variations. The model thus developed may be applied to magnetoacoustic wave propagation in the solar atmosphere and to the problem of coronal heating.

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