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Relationship between the spectral line based weight-sum-of-gray-gases model and the full spectrum k-distribution model

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Affiliation
  1. National Research Council of Canada. Measurement Science and Standards
FormatText, Article
Conference7th International Symposium on Radiative Transfer (RAD-13), June 2-8, 2013, Kusadasi, Turkey
SubjectGas radiation; global models; SLW; FSK
Abstract
The relationship between the spectral line based weighted-sum-of-gray-gases (SLW) model and the full-spectrum k-distribution (FSK) model in isothermal and homogeneous media is investigated in this paper. The SLW transfer equation can be derived from the FSK transfer equation expressed in the k-distribution function without approximation. It confirms that the SLW model is equivalent to the FSK model in the k-distribution function form. The numerical implementation relies on a somewhat arbitrary discretization of the absorption cross section where as the FSK model finds the spectrally integrated intensity by integration over the snoothly-varying cumulative-k distribution function using a Gaussian quadrature scheme. The latter is therefore in general more efficient as a fewer number of gray gases is required to achieve a prescribed accuracy. Sample numerical calculations were conducted to demonstrate the different efficiency of these two methods. The FSK model is found more efficient than the SLW model in ration transfer in H₂); however, the two models perform similarly in CO₂.
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  • Proceedings of the 7th International Symposium on Radiative Transfer (8 June 2013).
LanguageEnglish
Peer reviewedNo
NPARC number21270052
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Record identifier42efcc17-03c8-4dec-bdc3-793859a2504c
Record created2013-12-16
Record modified2020-06-04
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