Propagation of internal-acoustic gravity waves in a rotating and radiating opaque atmosphere

Astronomy and Astrophysics – Astrophysics

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Acoustic Propagation, Gravity Waves, Internal Waves, Plasma Waves, Wave Propagation, Hydrodynamic Equations, Interstellar Matter, Radiative Heat Transfer, Stellar Winds

Scientific paper

The critical level for wave propagation in the presence of a mean vertical velocity is studied using a hydrodynamic model. As a result of the extremely complex nature of the problem, the medium is assumed opaque so that the optically thick gas approximation for radiation can be invoked. Further, the wave temperature field gradients are taken to be fairly weak. Despite these idealizations, the wave motion is governed by a fourth-order ordinary differential equation with variable coefficients. The simplest configuration studied by the classical Frobenius's method yields three modes which propagate across the critical level (regular singular point) unattenuated, while the fourth is attenuated/amplified on crossing the critical level. This wave attenuation/amplification is generally termed value effect.

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