Nongray radiation from gas and soot mixtures in planar plates based on statistical narrow-band spectral model

Abstract

The nongray behavior of combustion products plays an important role in various areas of engineering. Based on the statistical narrow-band (SNB) spectral model with an exponential-tailed inverse intensity distribution and the ray-tracing method, a comprehensive investigation of the influence of soot on nongray radiation from mixtures containing H₂O/N₂+soot, CO₂/N₂+soot, or H₂O/CO₂/N₂+soot was conducted in this paper. In combustion applications, radiation transfer is significantly enhanced by soot due to its spectrally continuous emission. The effect of soot volume fraction up to 1×10^-6 on the source term, the narrow-band radiation intensities along a line-of-sight, and the net wall heat fluxes were investigated for a wide range of temperature. The effect of soot was significant and became increasingly drastic with the increase of soot loading.

Key words： soot; combustion; SNB model; nongray radiation

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 50636010, 50906027).

Notations

f	species molar fraction
I	radiation intensity/(W·m-2·sr-1)
I_{\mathrm{v}}	spectral radiation intensity/(W·m-2·sr-1·cm-1)
k_{\mathrm{v}}	mean line-intensity to spacing ratio/(cm-1·atm-1)
{\overline{k}}_{\mathrm{v}}	equivalent mean line-intensity to spacing ratio/(cm-1·atm-1)
L	separation distance between parallel walls/m
p	pressure/atm
q	heat flux density/(kW·m-2)
s,s^{\prime }	position variables/m
x	Cartesian coordinates/m
{\overline{\beta }}_{\mathrm{v}}	mean line-width to spacing ratio
{\overline{\gamma }}_{\mathrm{v}}	mean half-width of an absorption line/cm-1
{\overline{\delta }}_{\mathrm{v}}	equivalent line spacing/cm-1
\mathrm{\Delta }v	wavenumber interval/cm-1
\nu	wavenumber/cm-1
\mu	direction cosines
{\tau }_{\mathrm{\nu }}	spectral transmittance
Subscripts
b	blackbody
i	spatial discretization (along a line-of-sight) index
n	angular discretization index
w	wall

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