Heating of the solar chromosphere and corona. I - Generalized inhomogeneous wave equation for magnetoacoustic motions

Astronomy and Astrophysics – Astrophysics

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Atmospheric Heating, Chromosphere, Magnetoacoustic Waves, Solar Corona, Solar Heating, Wave Equations, Conductive Heat Transfer, Lighthill Gas Model, Magnetic Diffusion, Ohmic Dissipation, Viscosity

Scientific paper

The generalized inhomogeneous wave equation that governs magnetoacoustic, vortical, and thermal motions in compressible fluids and that is applicable to the problem of heating of the solar chromosphere and corona is obtained. The effects of kinematic and bulk viscosity, heat conduction, Joule dissipation, and magnetic diffusivity are included. Under the usual assumptions, the generalized wave equation reduces to the well-known equations of Lighthill, Kulsrud, Phillips, and others. The major problems encountered in applying Lighthill's (1952) mechanism to sound generation in turbulent media are reviewed for both the subsonic and supersonic cases.

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