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A simple approach to non-gray gas modeling

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TLDR
A simple non-gray gas model for use in radiation computations is proposed in this paper, which is based on the idea of k distribution, or reordering the highly irregular variation of absorption coefficient to obtain a smooth function.
Abstract
A simple non-gray gas model for use in radiation computations is proposed. This is based on the idea of k distribution, or reordering the highly irregular variation of absorption coefficient to obtain a smooth function. In the present approach, a methodology to obtain the reordered distribution from a wide-band model is presented, which is simpler than previous methods. Several test problems, including nonisothermal and inhomogeneous media, are solved using the model. The validity of the approach is tested by comparing solutions to radiation problems with previously published results.

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Citations
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Numerical Solutions of Three-Dimensional Non-Grey Gas Radiative Transfer Using the Statistical Narrow-Band Model

TL;DR: In this article, the exact narrow-band averaged radiative transfer equation was solved using a ray-tracing method using a three-dimensional rectangular enclosure containing (i) an isothermal pure water vapor at 1000 K and I atm, (ii) an inhomogeneous H 2 O/N 2 mixture at 1000 k and I k, and (iii) a nonisothermal and homogeneous mixture of CO 2 /H 2 O /N 2 2 at 1 atm.

Numerical Solutions of Three-Dimensional Non-Grey Gas Radiative Transfer Using the Statistical

F. Liu
TL;DR: In this paper, the exact narrow-band averaged radiative transfer equation was solved using a ray-tracing method using a three-dimensional rectangular enclosure containing (i) an isothermal pure water vapor at 1000 K and I atm, (ii) an inhomogeneous H 2 O/N 2 mixture at 1000 k and I k, and (iii) a nonisothermal and homogeneous mixture of CO 2 /H 2 O /N 2 2 at 1 atm.
Journal ArticleDOI

A comprehensive evaluation of different radiation models in a gas turbine combustor under conditions of oxy-fuel combustion with dry recycle

TL;DR: In this article, a 3D model gas turbine combustor under two test cases at 20 ǫ total pressure was calculated by various non-gray gas radiation models, including the statistical narrowband (SNB) model, the SNBCK, the wide-band correlated-k (WBCK), the FSCK, and several weighted sum of gray gases (WSGG) models.
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On the application of the exponential wide band model to the calculation of radiative heat transfer in one- and two-dimensional enclosures

TL;DR: In this paper, various implementations of the exponential wide band model (EWBM) are used to model radiative heat transfer in one and two-dimensional enclosures containing CO 2 and H 2 O. The wide band CKM is found to be the best choice concerning accuracy and computational effort.
References
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Radiative heat transfer

TL;DR: In this article, the Monte Carlo method for thermal radiation was used to estimate the radiative properties of one-dimensional Gray Media, and the method of Spherical Harmonics (PN-Approximation) was used for the same purpose.
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A description of the correlated k distribution method for modeling nongray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres

TL;DR: A radiative transfer method for treating nongray gaseous absorption and thermal emission in vertically inhomogeneous multiple scattering atmospheres is described in this paper, where probability density distributions of absorption coefficient strength are derived from line-by-line calculations to construct line-By-line and band model based k distributions.
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Finite volume method for radiation heat transfer

TL;DR: In this paper, a finite-volume (FV) method for computing radiation heat transfer processes is presented. But the main ingredients of the calculation procedure were presented by Chai et al. The resulting method has been tested, refined and extended to account for various geometrical and physical complexities.
Journal ArticleDOI

THE CORRELATED-k METHOD FOR RADIATION CALCULATIONS IN NONHOMOGENEOUS ATMOSPHERES

TL;DR: In this article, the accuracy of the correlated-k method for radiation calculations with spectrally averaged data in nonhomogeneous atmospheres is investigated, and it is concluded that the errors in correlated-K are generally of order of magnitude 1 percent, much larger errors occur only when a radiative quantity is very much smaller than its average value, and errors do not systematically increase with the order of differencing.