On the use of the Rosseland and Planck mean absorption coefficients in the non-equilibrium radiative transfer equation |
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| Institution: | 1. Department of Nuclear and Energy Engineering, University of Arizona, Tucson, AZ 85721, USA;2. School of Engineering and Applied Science, University of California, Los Angeles, U.S.A.;1. Department of Chemistry and Biochemistry, C-100 BNSN, Brigham Young University, Provo, UT 84602, USA;2. Department of Physics, Illinois Institute of Technology, Chicago, IL 60616, USA;1. Department of Mechanics and Mathematics, Tomsk State University, 634050, Tomsk, Russia;2. Institute of Power Engineering, Tomsk Polytechnic University, 634050, Tomsk, Russia;3. Department of Applied Mathematics, Babeş-Bolyai University, CP 253, 400084 Cluj-Napoca, Romania |
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| Abstract: | The use of the Rosseland and Planck mean absorption coefficients in the non-equilibrium (time-dependent) radiative transfer equation is investigated in the gray approximation for a prescribed temperature distribution. The corresponding gray radiative flux at the surface of a halfspace is compared to an exact (multi-frequency) solution obtained from multiple collision theory. An improved mean absorption coefficient is then obtained using the exact angle integrated intensity at the surface, and the corresponding gray approximation is shown to be markedly accurate. |
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