Irreversible thermodynamics in a radiating fluid

Mathematics – Logic

Scientific paper

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Hydrodynamics, Irreversible Processes, Radiative Transfer, Stellar Atmospheres, Entropy, Gibbs Equations, Hydrodynamic Equations, Kinetic Equations

Scientific paper

An attempt is made to find out what dissipative processes take place in a radiating fluid with a boundary surface, as a consequence of the radiation-matter interaction. A kinetic model is developed based on Boltzmann-like equations for atoms and photons. It is assumed that the medium is in a hydrodynamic regime, while the radiation field is in a nonequilibrium state. The kinetic equations are consistently solved with the entropy balance equation, in agreement with the second principle of thermodynamics, in order to obtain the constitutive relations. These constitutive relations imply a generalization of the photohydrodynamic equations, because they take into account the transport of energy and momentum connected with the thermalization regime of the radiation field near the boundary surface. In addition, the phenomenological approach to the problem is analyzed by means of the Gibbs formula.

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