Computed emissivity of carbon dioxide, water vapor, and their mixtures for a wide range of temperatures and pressure-pathlengths
Pith reviewed 2026-07-03 02:27 UTC · model grok-4.3
The pith
A dataset tabulates 94500 total emissivity values for CO2-H2O mixtures across 105 temperatures and 90 pressure-pathlengths.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The paper supplies 94500 computed total emissivity values, with each of the ten composition files containing a 90 by 105 grid of results for pressure-pathlength and temperature. Pure CO2, pure H2O, and the eight molar ratios 1:20, 1:8, 1:4, 1:2, 1:1, 2:1, 5:1, and 20:1 are included. All values are obtained from the EM2C implementations of the statistical narrow band model.
What carries the argument
The EM2C implementations of the statistical narrow band (SNB) model, which calculate spectrally integrated emissivity from narrow-band transmission data for each gas composition.
If this is right
- Engineers obtain ready-to-use emissivity numbers for radiative heat-transfer calculations in combustion products without re-running the narrow-band solver.
- The 25 K temperature spacing and nonuniform pressure-pathlength grid allow interpolation across room-temperature to flame conditions.
- The ten discrete compositions support direct lookup or simple interpolation for any H2O:CO2 ratio between the extremes.
- The three-order-of-magnitude pressure-pathlength range covers both optically thin and optically thick regimes relevant to flue-gas ducts.
Where Pith is reading between the lines
- The tabulated values could serve as reference data for validating other radiative-property models or line-by-line calculations.
- Coupling the dataset with CFD codes would enable faster prediction of heat loss in oxy-fuel furnaces without on-the-fly spectral integration.
- Repeating the same grid with an independent narrow-band code would quantify sensitivity to model implementation details.
Load-bearing premise
The statistical narrow band model as implemented in the EM2C code produces emissivity values accurate enough for the intended engineering use.
What would settle it
A laboratory measurement of total emissivity for a specific CO2-H2O mixture at one tabulated temperature and pressure-pathlength that deviates substantially from the listed value would falsify the dataset's reliability.
read the original abstract
This article describes a dataset of total (spectrally-integrated rather than wavelength-dependent) emissivity values pertaining to gaseous media containing carbon dioxide (CO2) and/or water vapor (H2O) with the sum of their partial pressures being near the atmospheric level. These conditions may be particularly relevant to flue gases resulting from oxy-fuel combustion. The emissivities here are computed using the EM2C implementations of the statistical narrow band (SNB), and they are made conveniently available as 10 separate plain text files having a unified layout. Each data file in the dataset corresponds to a specific chemical composition (from pure CO2 to pure H2O), with eight intermediate H2O:CO2 molar ratios being 1:20, 1:8, 1:4, 1:2, 1:1, 2:1, 5:1, and 20:1. In addition, pure CO2 corresponds to the extreme lower-bound for the H2O:CO2 molar (as 0:1), and pure H2O corresponds to the extreme upper-bound for the H2O:CO2 molar ratio (1:0 or infinity). For each chemical composition, the total emissivity values are provided for different pressure-pathlengths and different absolute gas temperatures as two independent variables. The pressure-pathlength range spans about three orders of magnitude, from 0.01 atm.m to 50 atm.m, with 90 nonuniformly-distributed pressure-pathlength values. The absolute gas temperature spans a wide range from 300 K (room temperature) to 2900 K (high-temperature flames) with a uniform step of 25 K separating 105 temperature values. For each data file, there are 90 x 105 (9450) emissivity values; and the entire dataset contains 94500 emissivity values.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript presents a dataset of 94,500 total emissivity values for CO2, H2O, and their mixtures across 10 compositions (pure CO2 to pure H2O with eight intermediate molar ratios). The values are computed using the EM2C statistical narrow band (SNB) implementations for temperatures 300–2900 K (105 values at 25 K steps) and pressure-pathlengths 0.01–50 atm·m (90 nonuniform values), and are provided as 10 plain-text files with a unified layout.
Significance. If the computations accurately reflect the EM2C SNB model outputs, the tabulated dataset supplies a convenient, publicly accessible resource for total emissivity over a broad parameter space relevant to radiative heat transfer in oxy-fuel combustion flue gases, where such wide-range tabulations are not routinely available.
minor comments (2)
- The manuscript would benefit from a reference to the original EM2C code documentation or validation studies so that readers can assess the underlying SNB model details and known limitations.
- [Abstract] Abstract: the pressure-pathlength range is described only as 'about three orders of magnitude'; stating the exact bounds (0.01–50 atm·m) would improve precision and consistency with the body text.
Simulated Author's Rebuttal
We thank the referee for their review and for recommending minor revision. The referee's summary accurately reflects the content and scope of the manuscript.
Circularity Check
No significant circularity: dataset is direct numerical output of external model
full rationale
The paper's central claim is the generation and distribution of 94500 emissivity values obtained by running the external EM2C statistical narrow band (SNB) implementation over a stated (T, pL) grid for ten compositions. No equations, derivations, fitted parameters, or predictions are presented that reduce to inputs defined within the paper itself. The work contains no self-citation load-bearing steps, no ansatz smuggling, and no renaming of known results as new derivations. The output is simply tabulated results from an independent code base, making the derivation chain self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption The statistical narrow band model as implemented in EM2C accurately represents the total emissivity of CO2/H2O mixtures under the given temperature and pressure-pathlength ranges
Reference graph
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discussion (0)
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