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Assessment of existing and new modeling strategies for the simulation of OH* radiation in high-temperature flames

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Abstract

Four methods to calculate OH* radiation from numerical simulations of flames above 2700 K are presented: (1) A state-of-the-art chemiluminescence model: OH* emission is assumed to be proportional to the concentration of an excited sub-species OH*. OH* is implemented in the detailed chemical reaction mechanism. (2) A spectral model: emission and absorption are computed and integrated on a line-by-line basis from the HITRAN data base. (3) An equilibrium filtered radiation model: it provides a very simple way to compute OH* emissivity in a post-processing step. This is a simplification of the chemiluminescence model suitable for high-temperature flames. (4) An extension of the latter model to approximate the influence of self-absorption. The advantages and limitations of all approaches are discussed from a physics-based perspective. Their performances are assessed in a laminar hydrogen–oxygen jet flame at varying pressure. The importance of self-absorption for OH* radiation is analyzed and emphasized. Recommendations for the model selection are given.

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Notes

  1. The latter assumption was recently justified numerically by Hossain and Nakamura [28].

Abbreviations

\(A_{i\rightarrow j}\) :

Einstein coefficient A (1/s)

c :

Speed of light (m/s)

e :

Emission coefficient (W/sr/m\(^3\))

\(g^\ominus _{\mathrm{m}}\) :

Standard-state molar Gibbs energy (J/kmol)

\(\tilde{g}\) :

Degeneracy (\(-\))

h :

Planck constant (J s)

k :

Absorption coefficient (1/m)

K :

Equilibrium constant (\(-\))

\(k_{\mathrm{B}}\) :

Boltzmann constant (J/K)

\(k_{\mathrm{r}}\) :

Reduced absorption coefficient (1/m/kmol)

L :

Radiance (W/m\(^2\)/sr)

N :

Number of molecules (\(-\))

p :

Pressure (bar)

\(R_m\) :

Gas constant (J/kmol/K)

T :

Temperature (K)

v :

Vibrational quantum number (\(-\))

z :

Coordinate (m)

\(\lambda \) :

Wavelength (m)

\(\nu \) :

Frequency (Hz)

\({\mathrm{[M]}}\) :

Concentration of molecule M (kmol/m\(^3\))

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Acknowledgments

The Deutsche Forschungsgemeinschaft (DFG) in the framework of Sonderforschungsbereich Transregio 40 provided financial support for this project. We thank our project partners M. Oschwald and S. Gröning from DLR Lampoldshausen for helpful discussions.

Conflict of interest

The authors declare that they have no conflict of interest.

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  1. Lehrstuhl für Thermodynamik, Technische Universität München, Boltzmannstr. 15, 85747, Garching, Germany

    Thomas Fiala & Thomas Sattelmayer

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Fiala, T., Sattelmayer, T. Assessment of existing and new modeling strategies for the simulation of OH* radiation in high-temperature flames. CEAS Space J 8, 47–58 (2016). https://doi.org/10.1007/s12567-015-0107-z

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