Effects of the thermal conduction on the propagation of linear waves in a radiating fluid

Details Effects of the thermal conduction on the propagation of linear waves in a radiating fluid Effects of the thermal conduction on the propagation of linear waves in a radiating fluid

Jan 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...336..875i&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 336, Jan. 15, 1989, p. 875-888. Research supported by the Universidad de Lo

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Magnetohydrodynamics, Plasma Radiation, Radiative Transfer, Thermal Conductivity, Wave Propagation, Eddington Approximation, Magnetohydrodynamic Stability, Optical Thickness, Thermodynamic Equilibrium, Transport Theory

Scientific paper

The effect of thermal conduction on the temporal and spatial behavior of disturbances on a radiating fluid in thermodynamical equilibrium is studied by linear approximation in the quasi-static limit, making use of the Eddington approximation. The damping rate and frequency for the thermal and acoustic modes which result are calculated as functions of the dimensionless wavenumber and two dimensionless parameters: the conductive parameter and the Boltzmann number. Analytical expressions are obtained in the extreme cases of a nonradiating medium and a nonconductive medium. Otherwise they are calculated numerically. In the spatial analysis for the three resulting wave modes (sound, radiation diffusion, and thermal conducting wave), the phase velocity and the characteristic scale for damping are obtained as functions of the optical thickness of the fluctuation, the Boltzmann number, and the ratio of conductive to enthalpy flux.

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