Correlated-k and fictitious gas methods for H2O near 2.7 μm

Rivière, Ph.; Soufiani, Anouar; Taine, Jean

doi:10.1016/0022-4073(92)90088-l

Cited by 95 publications

(26 citation statements)

References 26 publications

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“…These have been well documented and are a result of the use of the "scaling approximation," This is the assumption that the absorption coefficient is a separable function of position and wavelength (6) This assumption has been shown to give good results for atmospheric applications [9,10] but significantly worse results in systems with large temperature ranges [11][12][13], If concentration gradients exist within the system, the assumption of a separable absorption coefficient is almost assuredly a poor one.…”

Section: -4 / Vol 136 June 2014mentioning

confidence: 96%

On Multilayer Modeling of Radiative Transfer for Use With the Multisource k-Distribution Method for Inhomogeneous Media

Tencer

Howell

2014

Journal of Heat Transfer

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A nonisothermal medium is modeled using the multilayer approach in which the continuous temperature distribution in a one-dimensional system as modeled as being piecewise constant. This has been shown to provide accurate results for a surprisingly small number of layers. Analysis is performed on a nonisothermal gray medium to attempt to characterize the ways in which the errors introduced by the multilayer modeling change with various physical parameters namely, the optical thickness and the temperature or emissive power gradient. A demonstration is made of how the multisource k-distribution method is capable of evaluating the heat flux within a one-dimensional system with piecewise constant temperature distribution with line-by-line accuracy with a significant decrease in computational expense. The k-distribution method for treating the spectral properties of an absorbing-emitting medium represents a powerful alternative to line-byline calculations by reducing the number of radiative transfer equation (RTE) evaluations from the order of a million to the order of 10 without any significant loss of accuracy. For problems where an appropriate reference temperature can be defined, the kdistribution method is formally exact. However, when no appropriate reference temperature can be defined, the method results in errors. The multisource k-distribution method extends the k-distribution method to problems with piecewise constant temperature and optical properties.

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Section: -4 / Vol 136 June 2014mentioning

confidence: 96%

On Multilayer Modeling of Radiative Transfer for Use With the Multisource k-Distribution Method for Inhomogeneous Media

Tencer

Howell

2014

Journal of Heat Transfer

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“…Both the correlated and scaled assumptions often break down in cases with large gradients in temperature [30] or relative species concentrations [27]. Under combustion conditions it is expected that there will be significant gradients in temperature at the flame edge, which could also coincide with significant variations in relative species concentrations.…”

Section: Full-spectrum K-distribution Modelsmentioning

confidence: 99%

Evaluation of FSK models for radiative heat transfer under oxyfuel conditions

Clements

Porter

Pranzitelli

et al. 2015

Journal of Quantitative Spectroscopy and Radiative Transfer

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a b s t r a c tOxyfuel is a promising technology for carbon capture and storage (CCS) applied to combustion processes. It would be highly advantageous in the deployment of CCS to be able to model and optimise oxyfuel combustion, however the increased concentrations of CO 2 and H 2 O under oxyfuel conditions modify several fundamental processes of combustion, including radiative heat transfer. This study uses benchmark narrow band radiation models to evaluate the influence of assumptions in global full-spectrum k-distribution (FSK) models, and whether they are suitable for modelling radiation in computational fluid dynamics (CFD) calculations of oxyfuel combustion. The statistical narrow band (SNB) and correlated-k (CK) models are used to calculate benchmark data for the radiative source term and heat flux, which are then compared to the results calculated from FSK models. Both the full-spectrum correlated k (FSCK) and the full-spectrum scaled k (FSSK) models are applied using up-to-date spectral data. The results show that the FSCK and FSSK methods achieve good agreement in the test cases. The FSCK method using a five-point Gauss quadrature scheme is recommended for CFD calculations in oxyfuel conditions, however there are still potential inaccuracies in cases with very wide variations in the ratio between CO 2 and H 2 O concentrations.

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“…While ''line by line (LBL)'' models are useful for providing benchmark solutions, they are not practical in multidimensional applications particularly when the radiative transfer is combined with other transfer modes, since it requires great computational times and storage volumes. Several other models have been introduced to calculate radiative properties of gases like the ''statistical narrow band (SNB)'' [26,27], ''correlated-k (CK)'' [28], ''Correlated-k with fictitious gases (CKFG)'' [29,30], ''exponential wide-band (EWB)'' [31], ''spectral line-based weightedsum-of-grey-gases (WSGG)'' model [32,33] and ''absorption distribution function (ADF)'' [34]. In the absence of LBL results, the SNB model is frequently considered as the most accurate non-grey gas radiation model.…”

Section: Introductionmentioning

confidence: 99%