Abstract
To develop and validate numerical models for sooty fires, we have established a dataset of the thermal radiation and soot in 15 kW buoyant turbulent ethylene flames. The flames are stabilized on a water-cooled round burner with a 15.2 cm outer diameter (D) and 13.7 cm inner diameter at three oxygen concentrations (OC) of 15.2 %, 16.8 %, and 20.9 %. A two-color optical probe is used to measure the spectral radiative intensities at two wavelengths, from which soot volume fraction and temperature are determined. The overall mean soot volume fractions are consistent with results from laser induced incandescence and laser extinction measurements. For a given OC, the mean soot temperature and volume fraction conditioned on the radiative intensity greater than a threshold value (instrumental detection limit) are relatively independent of spatial location. When OC decreases from 20.9 % to 15.2 %, the conditional mean soot volume fraction decreases by a factor of two. However, the conditional mean soot temperature at different locations and OCs are within a narrow range (with a standard deviation of only 22 K). The effect of detection limit is discussed, and the results show that the correlation between soot volume fraction and temperature is weak with a sufficiently low detection limit. Based on the experimental findings, a simplified model for the turbulence-radiation interaction (TRI) is proposed for application in the numerical modeling of soot radiation. The model approximates the turbulent closure term for radiation by taking advantage of the fact that the soot temperature has a relatively unchanged mean value and a narrow quasi-normal distribution within the buoyant turbulent flame, regardless of the spatial location and oxygen concentration. Therefore, the soot emission power can be directly calculated from the mean soot volume fraction and conditional mean soot temperature in a decoupled manner.
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