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Relationship between soot volume fraction and LII signal in AC-LII: effect of primary soot particle diameter polydispersity

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Abstract

Theoretical analysis and numerical calculations were conducted to investigate the relationship between soot volume fraction and laser-induced incandescence (LII) signal within the context of the auto-compensating LII technique. The emphasis of this study lies in the effect of primary soot particle diameter polydispersity. The LII model was solved for a wide range of primary soot particle diameters from 2 to 80 nm. For a log-normally distributed soot particle ensemble encountered in a typical laminar diffusion flame at atmospheric pressure, the LII signals at 400 and 780 nm were calculated. To quantify the effects of sublimation and differential conduction cooling on the determined soot volume fraction in auto-compensating LII, two new quantities were introduced and demonstrated to be useful in LII study: an emission intensity distribution function and a scaled soot volume fraction. When the laser fluence is sufficiently low to avoid soot mass loss due to sublimation, accurate soot volume fraction can be obtained as long as the LII signals are detected within the first 200 ns after the onset of the laser pulse. When the laser fluence is in the high fluence regime to induce significant sublimation, however, the LII signals should be detected as early as possible even before the laser pulse reaches its peak when the laser fluence is sufficiently high. The analysis method is shown to be useful to provide guidance for soot volume fraction measurements using the auto-compensating LII technique.

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Acknowledgments

Financial support by NRCan PERD AFTER Project C23.006 and NRCan PERD P&E Project C11.008 is gratefully acknowledged.

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  1. Black Carbon Metrology, Measurement Science and Standards, National Research Council, Ottawa, ON, K1A 0R6, Canada

    Fengshan Liu & Gregory J. Smallwood

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  1. Fengshan Liu
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  2. Gregory J. Smallwood
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Correspondence to Fengshan Liu.

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Liu, F., Smallwood, G.J. Relationship between soot volume fraction and LII signal in AC-LII: effect of primary soot particle diameter polydispersity. Appl. Phys. B 112, 307–319 (2013). https://doi.org/10.1007/s00340-012-5330-0

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  • DOI: https://doi.org/10.1007/s00340-012-5330-0

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