This paper presents a methodology for the application of the weighted-sum-of-gray-gases (WSGG) model to systems where the medium is bounded by nongray surfaces. The method relies on the assumption that each gray gas absorption coefficient is randomly spread across the entire wavenumber spectrum. It follows that, in the spectral integration of the radiative transfer equation (RTE), the local emission term can be computed by the joint probability of emission from the subsections of the spectrum related to each gray gas coefficient and from each wall emissivity band. One advantage of the proposed methodology is that it allows the use without any modification of WSGG correlations that are available in the literature. The study presents a few test cases considering a one-dimensional (1D), nonuniform medium slab composed of H2O and CO2, bounded by nongray surfaces. The accuracy of the methodology is assessed by direct comparison with line-by-line (LBL) calculations.
Application of the WSGG Model to Solve the Radiative Transfer in Gaseous Systems With Nongray Boundaries
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 11, 2017; final manuscript received October 16, 2017; published online February 21, 2018. Assoc. Editor: Laurent Pilon.
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da Fonseca, R. J. C., Fraga, G. C., da Silva, R. B., and França, F. H. R. (February 21, 2018). "Application of the WSGG Model to Solve the Radiative Transfer in Gaseous Systems With Nongray Boundaries." ASME. J. Heat Transfer. May 2018; 140(5): 052701. https://doi.org/10.1115/1.4038548
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