Specific frequency integration method applied to thermally nonhomogeneous hydrogen-helium gas mixture.

Physics

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Radiative Transfer: Absorption Spectra, Radiative Transfer: Hydrogen, Radiative Transfer: Helium

Scientific paper

A frequency integration method applied to the calculation of total radiative quantities in thermally inhomogeneous hydrogen-helium gas mixture is presented. First, the absorption spectrum of an hydrogen-helium gas mixture at high temperature (in the range 3000-30,000 K) has to be determined. Consequently, a review of the theoretical determination of the hydrogen-helium gas mixture absorption properties is performed under the assumption of local chemical and thermodynamical equilibria for a given set of temperature, pressure and initial molar fractions of the mixture. Cross-sections calculations are presented for the following absorption optical processes: electronic transitions bound-free and free-free of the negative hydrogen ion, bound-free, free-free and bound-bound of the hydrogen atom and the determination of the exact lines shapes is carefully detailed in the framework of three models. The frequency integration method suitable for the hydrogen-helium absorption coefficient spectrum is based on a spectral data bank that makes it fast and accurate. Absorbing and emitting radiative properties resulting from the model are checked in the case of a parallel plane layer with prescribed temperature whose the exact solution is known. A study on the different spectral ranges contribution in the radiative source and the net radiative flux near the walls is performed. Then, the appropriated choice of the lines calculation model is discussed.

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