The exact form of the spectral line weighted-sum-of-gray-gases (SLW) model is developed as a limiting case of the classical SLW method when the number of gray gases in the classical model approaches infinity. Solutions of the exact SLW radiative transfer equation are obtained in the case of isothermal media. It is demonstrated that the accuracy of the exact SLW method is limited only by the accuracy of the absorption-line blackbody distribution function (ALBDF) correlations used for the characterization of the absorption spectrum. This work also theoretically and rigorously demonstrates for the first time the relationship among the SLW, absorption distribution function (ADF), and full spectrum -distribution (FSK) models. The theoretical foundation is laid for the extension of the exact method in the case of nonisothermal media.
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Global Spectral Methods in Gas Radiation: The Exact Limit of the SLW Model and Its Relationship to the ADF and FSK Methods
V. P. Solovjov,
V. P. Solovjov
Department of Mechanical Engineering,
Brigham Young University
, Provo, UT 84602
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B. W. Webb
B. W. Webb
Department of Mechanical Engineering,
Brigham Young University
, Provo, UT 84602
Search for other works by this author on:
V. P. Solovjov
Department of Mechanical Engineering,
Brigham Young University
, Provo, UT 84602
B. W. Webb
Department of Mechanical Engineering,
Brigham Young University
, Provo, UT 84602J. Heat Transfer. Apr 2011, 133(4): 042701 (9 pages)
Published Online: January 10, 2011
Article history
Received:
February 5, 2010
Revised:
September 28, 2010
Online:
January 10, 2011
Published:
January 10, 2011
Citation
Solovjov, V. P., and Webb, B. W. (January 10, 2011). "Global Spectral Methods in Gas Radiation: The Exact Limit of the SLW Model and Its Relationship to the ADF and FSK Methods." ASME. J. Heat Transfer. April 2011; 133(4): 042701. https://doi.org/10.1115/1.4002775
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