Non-grey gas radiative transfer analyses using the statistical narrow-band model

Liu, F.; Gülder, Ömer L.; Smallwood, Gregory J.; Ju, Yiguang

doi:10.1016/s0017-9310(97)00267-6

Cited by 58 publications

(35 citation statements)

References 20 publications

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“…Numerical calculations were conducted using 20 uniform control volumes and the T 3 angular quadrature set with 72 directions in the entire 4p solid angle. Further refinement in either the spatial or angular refinement has negligible influence on the results, in agreement with the findings of Liu et al [49] with regard to the effect of grid size.…”

Section: Resultssupporting

confidence: 91%

“…1 under both air combustion and oxy-fuel combustion scenarios. The distributions of CO 2 and H 2 O mole fraction and temperature in the air combustion scenario were given in detail by Liu et al [49]. Under the scenario of oxyfuel combustion with flue gas recirculation, the CO 2 mole fraction is increased everywhere by 0.6 relative to the distribution under air combustion scenario, while the distributions of H 2 O mole fraction and temperature are unchanged.…”

Section: Resultsmentioning

confidence: 99%

“…The ray-tracing method described in Refs. [49,50] was used to solve the integral RTE. For a non-isothermal and/or inhomogeneous path, the Curtis-Godson approximation [51] was employed.…”

Section: The Statistical Narrow Band (Snb) Modelmentioning

confidence: 99%

“…This case was first considered by Liu et al [49] to evaluate the performance of a simplified SNB implementation and gray gas models. In this case the medium consists of a nonisothermal and inhomogeneous mixture of CO 2 /H 2 O/N 2 as shown in Fig.…”

Section: One-dimensional Air Combustion (Case 5)mentioning

confidence: 99%

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Calculations of gas thermal radiation transfer in one-dimensional planar enclosure using LBL and SNB models

Chu

Liu

Zhou

2011

International Journal of Heat and Mass Transfer

113

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Section: Resultssupporting

confidence: 91%

Section: Resultsmentioning

confidence: 99%

“…The ray-tracing method described in Refs. [49,50] was used to solve the integral RTE. For a non-isothermal and/or inhomogeneous path, the Curtis-Godson approximation [51] was employed.…”

Section: The Statistical Narrow Band (Snb) Modelmentioning

confidence: 99%

Section: One-dimensional Air Combustion (Case 5)mentioning

confidence: 99%

See 2 more Smart Citations

Calculations of gas thermal radiation transfer in one-dimensional planar enclosure using LBL and SNB models

Chu

Liu

Zhou

2011

International Journal of Heat and Mass Transfer

113

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“…Although the correlated-k ®ctitious gas (CKFG) method is more accurate than the SNB model, it suers the same diculties as the SNB model for implementation into RTE in multidimensions [6]. While the over-simpli®ed grey-band model developed by Liu et al [7] yields reasonably good accuracy for non-grey gas radiation in a one-dimensional parallelplates geometry, it produces signi®cant errors for nongrey gas radiation in multidimensions [4,8]. A systematic evaluation study of various narrow-band models, such as SNB, CK, CKFG, and global radiative property models in CO 2 ±H 2 O±N 2 mixtures has been recently conducted by Pierrot et al [9] using LBL results as the reference solution.…”

Section: Introductionmentioning

confidence: 99%

Application of the statistical narrow-band correlated-k method to low-resolution spectral intensity and radiative heat transfer calculations — effects of the quadrature scheme

Liu¹,

Smallwood²,

Gülder³

2000

International Journal of Heat and Mass Transfer

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The statistical narrow-band correlated-k method was employed to calculate low-resolution spectral intensity along a line-of-sight, and radiative heat transfer in both, a one-dimensional parallel-plates enclosure and a threedimensional rectangular enclosure containing CO 2 ±H 2 O±N 2 mixtures under various conditions. Numerical calculations were conducted using six quadrature schemes: the commonly used``7-point Gauss±Lobatto'' quadrature, the 4-point, 2-point, and 1-point Gauss±Legendre quadratures, and the 4-point and 5-point Gauss± Lobatto quadratures. The``7-point Gauss±Lobatto'' quadrature yields very accurate results compared to the results of the statistical narrow-band model. Results of the 4-point Gauss±Legendre quadrature are only slightly less accurate than those of the``7-point Gauss±Lobatto'' quadrature. The 2-point Gauss±Legendre quadrature oers acceptably good accuracy with much less computing eorts, especially for calculations of spectrally integrated quantities. Results of the 1-point Gauss±Legendre are in serious error. The overall performance of the 4-point and 5-point Gauss±Lobatto quadratures is even worse than that of the 2-point Gauss±Legendre quadrature. Crown

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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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Non-grey gas radiative transfer analyses using the statistical narrow-band model

Cited by 58 publications

References 20 publications

Calculations of gas thermal radiation transfer in one-dimensional planar enclosure using LBL and SNB models

Calculations of gas thermal radiation transfer in one-dimensional planar enclosure using LBL and SNB models

Application of the statistical narrow-band correlated-k method to low-resolution spectral intensity and radiative heat transfer calculations — effects of the quadrature scheme

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

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