Other
Scientific paper
Apr 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...133..403s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 133, no. 2, April 1984, p. 403-407. Research supported by the Deutsche Forschu
Other
5
Acoustic Propagation, Gray Gas, Nonisothermal Processes, Stellar Atmospheres, Stellar Temperature, Adiabatic Equations, Late Stars, Opacity, Radiative Transfer, Stellar Oscillations, Wave Functions
Scientific paper
A monochromatic, adiabatic plane sound wave in a plane grey radiative equilibrium atmosphere with constant gravity is considered, assuming that the wave travels in the vertical direction. The T(τ)-relation is used in the two ray approximation, and the equation of state is that of a classical ideal gas. With a simple opacity formula which results from a fit of an opacity table for late type stars, simple closed solutions for the temperature and the pressure as functions of the geometrical height are obtained. The amplitude of the sound wave can be represented by a closed expression as the wave equation may be transformed and reduced to a hypergeometrical differential equation. The important case of short period acoustic waves is treated by use of WKB-approximations leading to simple elementary functions for the amplitude of the wave.
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