The applicability of the linearized theory of sound-wave driven winds

Computer Science – Sound

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Asymptotic Giant Branch Stars, Sound Waves, Stellar Atmospheres, Stellar Mass Ejection, Stellar Physics, Stellar Winds, Hydrodynamics, Momentum Transfer, Shock Waves, Stellar Oscillations

Scientific paper

Expressions are developed for the wave-pressure tensor and its gradient for progressive and acoustic waves of arbitrary amplitude and shape. These expressions may be used in time-independent hydrodynamic calculations to model the averaged effect of acoustic waves running through a medium. It is shown that the linear theory is valid up to rather high wave amplitudes of Mach 0.6 in velocity. Linear acoustic waves of this amplitude may drive a significant mass loss only in stars with a very low surface gravity, with photospheric density scale heights of 0.04 stellar radius or more, as in extreme AGB stars. The effect of a train of small-amplitude sawtooth waves on the mean flow is studied. The force is shown to be at most of second order in shock amplitude, as it is for sinusoidal waves.

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