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Quantifying uncertainty in auto-compensating laser-induced incandescence parameters due to multiple nuisance parameters

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Abstract

Auto-compensating laser-induced incandescence (AC-LII) can be used to infer the particle volume fraction of a soot-laden aerosol. This estimate requires detailed knowledge of multiple model parameters (nuisance parameters), such as the absorption function of soot, calibration coefficients, and laser sheet thickness, which are imperfectly known. This work considers how uncertainties in the nuisance parameters propagate into uncertainties present in soot volume fraction (SVF) and peak particle temperature estimates derived from LII data. The uncertainty of the nuisance parameters is examined and modeled using maximum entropy prior distributions. This uncertainty is then incorporated into the estimates of SVF and peak temperature through a rigorous marginalization technique. Marginalization is carried out using a Gaussian approximation, which is a fast alternative to techniques previously employed to compute uncertainties of AC-LII-derived quantities.

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Acknowledgements

This work was partially supported by the Natural Sciences and Engineering Research Council Discovery Grant (NSERC-DG) program.

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Authors and Affiliations

  1. Department of Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Ave. W, Waterloo, ON, N2L 3G1, Canada

    Paul J. Hadwin, T. A. Sipkens & K. J. Daun

  2. Black Carbon Metrology, Measurement Science and Standards, National Research Council of Canada, 1200 Montreal Road, Ottawa, ON, K1A 0R6, Canada

    K. A. Thomson & F. Liu

Authors
  1. Paul J. Hadwin
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  2. T. A. Sipkens
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  3. K. A. Thomson
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  4. F. Liu
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  5. K. J. Daun
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Correspondence to Paul J. Hadwin.

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Hadwin, P.J., Sipkens, T.A., Thomson, K.A. et al. Quantifying uncertainty in auto-compensating laser-induced incandescence parameters due to multiple nuisance parameters. Appl. Phys. B 123, 114 (2017). https://doi.org/10.1007/s00340-017-6693-z

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  • DOI: https://doi.org/10.1007/s00340-017-6693-z

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