Assembly of full-spectrum k-distributions from a narrow-band database; effects of mixing gases, gases and nongray absorbing particles, and mixtures with nongray scatterers in nongray enclosures

Modest, Michael F.; Riazzi, Robert J.

doi:10.1016/j.jqsrt.2004.03.007

Cited by 156 publications

(65 citation statements)

References 12 publications

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“…As a result of the reordering process, the spectral position information is lost. To find the k-distribution of a mixture from the k-distribution of each component, two mixing models are frequently used, namely the multiplication [12] and the uncorrelated mixture [1,10] models.…”

Section: Correlation Tablesmentioning

confidence: 99%

“…Modest and Riazzi [10] recognized that the transmissivity over a narrow-band of a gas mixture to great accuracy is equal to the product of the transmissivity of each species, implying that the location of spectral lines of different species is uncorrelated. This implies that the Laplace transform of a k-distribution for a gas mixture is the product of each component gas, i.e.,…”

Section: Correlation Tablesmentioning

confidence: 99%

“…The k-distribution spectral models developed from previous research [10,11,17,20,21] were written in Fortran. They are connected to OpenFOAM using C-Fortran interoperation introduced in Fortran 2003 standard [27].…”

Section: -4 / Vol 136 November 2014mentioning

confidence: 99%

“…While the line-by-line (LBL) spectral model [7,8] provides the most accurate results for radiative heat transfer, its large computational demands prevent its use in practical engineering applications. Recently, full-spectrum k-distribution methods have been developed for gases [8][9][10]. A k-distribution is a spectrally reordered absorption coefficient over a narrow-band or the full spectrum.…”

Section: Introductionmentioning

confidence: 99%

“…When more than one species is present, a mixing model is necessary to determine the k-distribution of the mixture from the k-distribution of each composition gas. Common mixing models include the multiplication model [12] and uncorrelated mixture model [10,1].…”

Section: Introductionmentioning

confidence: 99%

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Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k-Distributions

Cai

Marquez

Modest

2014

Journal of Heat Transfer

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A new nongray radiation modeling library for combustion gases has been implemented in OpenFOAM. The spectral models for single species include gray, correlation tables and full spectrum k-distributions (FSK) assembled from a narrow-band database. Mixing models for k-distributions include the multiplication and uncorrelated mixture models. Radiative transfer equation solvers for the library include spherical harmonics such as P 1 , P 3 , SP 3 and SP 5 as well as the optically thin approximation. The performance of the different solution methods is compared for accuracy and speed as a tool for future model strategy selection.

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Section: Correlation Tablesmentioning

confidence: 99%

Section: Correlation Tablesmentioning

confidence: 99%

Section: -4 / Vol 136 November 2014mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k-Distributions

Cai

Marquez

Modest

2014

Journal of Heat Transfer

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A new weighted-sum-of-gray-gases model for oxy-combustion scenarios

Krishnamoorthy

2012

Int. J. Energy Res.

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SUMMARY A new weighted‐sum‐of‐gray gases (WSGG) model that is based on the statistical narrow band model (SNB) RADCAL is proposed for use in computational fluid dynamic (CFD) simulations of air and oxy‐combustion. When employed in conjunction with the discrete ordinates (DO) method, the model predictions compare well against line‐by‐line benchmark data that have been made available recently that are based on the latest spectroscopic databases. Furthermore, the model compares well against the EM2C SNB model calculations that have served as benchmark data in three‐dimensional geometries. Radiative transfer calculations in these prototypical problems therefore confirm recent experimental observations that SNB RADCAL and EM2C SNB serve as good model databases to develop approximate radiative property models. To achieve an optimum balance of speed and accuracy in computationally intensive CFD simulations, non‐gray formulations of the WSGG model are also employed with the P1 model and solutions are compared against those generated by the DO model. While the P1 model gave favorable comparisons when cold, black walls were present, the errors in the surface incident radiative flux predictions increased in the presence of hot, reflecting walls. Finally, in fully coupled simulations of natural gas combustion under air‐firing and oxy‐firing modes, the predicted incident radiative flux profiles were distinctly different between the gray and non‐gray calculations at regions of high temperature gradients, while the centerline temperature predictions were comparatively unaffected. The effects of turbulence radiation interactions were also accounted for through the temperature self‐correlation term. However, the magnitudes of the temperature fluctuations were small and localized within this furnace and did not significantly alter our predictions. Copyright © 2012 John Wiley & Sons, Ltd.

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Radiant energy exchange through participating media composed of arbitrary concentrations of H₂O, CO₂, and CO

Camaraza‐Medina,

Hernandez‐Guerrero,

Luviano‐Ortiz

2024

Heat Trans

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In this work, an approximate analytical solution (AS) is presented to evaluate the radiative thermal exchange through a gaseous participating medium composed of H2O, CO2, and CO, which is valid for the product values of pressure path‐length (PL) from 0.06 to 20 atm m and temperatures (T) from 300 K to 2100 K. The Spence root weighting method is used to approximate the exact solutions. For each set of , the value of exact spectral emissivity and absorptivity and for the gas mixture is calculated using the AS, the Hottel graphical method (HGM) and the proposed approximate solution. The weaker adjustment was achieved in the modeling of the HGM, with a mean deviation obtained of ±15% and ±20% for 43.8% and 56.3% of the data evaluated, respectively, while the best indices were obtained in the estimation of the proposed method, with a mean deviation obtained of ±10% and ±15% for 81.3% and 98.1% of the available data, respectively. In all cases, the agreement of the proposed model with the available experimental data is good enough to be considered satisfactory for practical design.

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Assembly of full-spectrum k-distributions from a narrow-band database; effects of mixing gases, gases and nongray absorbing particles, and mixtures with nongray scatterers in nongray enclosures

Cited by 156 publications

References 12 publications

Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k-Distributions

Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k-Distributions

A new weighted-sum-of-gray-gases model for oxy-combustion scenarios

Radiant energy exchange through participating media composed of arbitrary concentrations of H₂O, CO₂, and CO

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Assembly of full-spectrum k-distributions from a narrow-band database; effects of mixing gases, gases and nongray absorbing particles, and mixtures with nongray scatterers in nongray enclosures

Cited by 156 publications

References 12 publications

Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k-Distributions

Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k-Distributions

A new weighted-sum-of-gray-gases model for oxy-combustion scenarios

Radiant energy exchange through participating media composed of arbitrary concentrations of H2O, CO2, and CO

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Product

Resources

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Radiant energy exchange through participating media composed of arbitrary concentrations of H₂O, CO₂, and CO