Abstract
This chapter is devoted to the fluid description of gases and radiation near thermal equilibrium by a closed set of moment equations with transport coefficients. The moment equations corresponding to mass, momentum, and energy of a multi-component gas are derived in Sect. 4.1, and the moment equations corresponding to radiant momentum and energy in Sect. 4.2. Section 4.3 recalls how the fluid description of a one-component gas near thermal equilibrium in the absence of radiation is achieved by introducing transport coefficients and employing the thermal and caloric equations of state. In Sect. 4.4, the analogous problem in the presence of radiation is considered where both matter and radiation are near thermodynamic equilibrium. The radiation pressure and the coefficients of radiative heat conductivity and viscosity are derived, and the hydrodynamic equations containing these radiative quantities are obtained.
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© 1986 Springer-Verlag Berlin Heidelberg
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Oxenius, J. (1986). Moment Equations and Fluid Description. In: Kinetic Theory of Particles and Photons. Springer Series in Electrophysics, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70728-5_4
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DOI: https://doi.org/10.1007/978-3-642-70728-5_4
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