Determination of the soot aggregate size distribution from elastic light scattering through Bayesian inference

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 112, Issue 6, 2011, Pages 1099-1107

  Burr, D W ^a   Daun, K J ^a   Link, O ^b   Thomson, K A ^b   Smallwood, G J ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b NATIONAL RESEARCH COUNCIL CANADA   (Canada)

Author keywords

Elastic light scattering; MAP; Particle sizing; Soot; Tikhonov regularization

Indexed keywords

BAYESIAN INFERENCE; ELASTIC LIGHT SCATTERING; ILL POSED PROBLEM; MAXIMUM A POSTERIORI; MULTI-ANGLE; NON-NEGATIVITY; NUMBER DENSITY; PARTICLE SIZING; PRIOR INFORMATION; SOOT AGGREGATES; TIKHONOV REGULARIZATION;

AGGREGATES; BAYESIAN NETWORKS; DUST; INFERENCE ENGINES; INTEGRAL EQUATIONS; PROBLEM SOLVING; REFRACTION; SCATTERING; SIZE DETERMINATION; SIZE DISTRIBUTION; SOOT;

LIGHT SCATTERING;

AGGREGATE SIZE; BAYESIAN ANALYSIS; ESTIMATION METHOD; LIGHT SCATTERING; LINEARITY; PARTICLE SIZE; SIZE DISTRIBUTION; SOOT;

EID: 79951512090     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2010.12.001     Document Type: Article

References (28)

1. Pope C.A., Dokery D.W. Health effects of fine particulate air pollution: lines that connect. J Air Waste Manage 2006, 56:749-752.
2. Bond T.C., Sun H. Can reducing black carbon emissions counteract global warming?. Environ Sci Technol 2005, 39:5921-5926.
3. Brazil A.M., Farias T.L., Carvalho M.G. A recipe for image characterization of fractal-like aggregates. J Aerosol Sci 1999, 30:1379-1389.
4. Sorensen C.M. Light scattering by fractal aggregates: a review. Aerosol Sci Technol 2001, 35:648-687.
5. Reimann J., Kuhlmann S.A., Will S. 2D Aggregate sizing by combining Laser-Induced Incandescence (LII) and Elastic Light Scattering (ELS). Appl Phys B 2009, 96:583-592.
6. Sorensen C.M., Liu N., Cai J. Fractal cluster size distribution measurement using static light scattering. J Colloid Interface Sci 1995, 174:456-460.
7. Iyer S.S., Litzinger T.A., Lee S.-Y., Santoro R.J. Determination of soot scattering coefficient from extinction and three-angle scattering in a laminar diffusion flame. Combust Flame 2007, 149:206-216.
8. Snelling D.R., Smallwood G.J., Liu F., Gilder L., Bachalo W.D. A calibration-independent laser-induced incandescence technique for soot measurement by detecting absolute light intensity. Appl Opt 2005, 44:6773-6785.
9. Link O, Snelling DR, Thomson KA, Smallwood GJ, Development of absolute intensity multi-angle light scattering for the determination of polydisperse soot aggregate properties. In Proceedings of the 33rd international combustion symposium, Beijing, China, 1-6 August 2010.
10. Twomey S. Comparison of constrained linear inversion and an iterative nonlinear algorithm applied to the indirect estimation of particle size distributions. J Comput Phys 1975, 18:188-200.
11. Markowski G.R. Improving Twomeys algorithm for inversion of aerosol measurement data. Aerosol Sci Technol 1987, 7:127-141.
12. di Satsio S., Mitchell J.B.A., LeGarrec J.L., Biennier L., Wul M. Synchrotron SAXS (in situ) identification of three different size modes for soot nanoparticles in a diffusion flame. Carbon 2006, 44:1267-1279.
13. Tikhonov A.N., Arsenin Y.V. Solutions of ill-posed problems 1977, V. H. Winston and Sons, Washington, DC.
14. Tarantola A. Inverse problem theory and methods for model parameter estimation 2005, SIAM, Philadelphia.
15. Dobbins R.A., Megaridis C.M. Absorption and scattering of light by polydisperse aggregates. Appl Opt 1991, 30:4747-4754.
16. Yang B., Koylu U.O. Soot processes in a strongly radiating turbulent flame from laser scattering/extinction experiments. J Quant Spectrosc Radiat Transfer 2005, 93:289-295.
17. Agarwal J.K., Sem G.J. Continuous flow, single-particle-counting condensation nucleus counter. J Aerosol Sci 1980, 11:343-357.
18. Bond T.C., Bergstrom R.W. Light absorption by carbonaceous particles: an investigative review. Aerosol Sci Technol 2006, 40:27-67.
19. Farias T.L., Köylü U.Ö., Carvalho M.G. Range of validity of the Rayleigh-Debye-Gans theory for optics of fractal aggregates. Appl Opt 1996, 35:6560-6567.
20. Liu F, Snelling DR, Evaluation of the accuracy of the RDG approximation for the absorption and scattering properties of fractal aggregates of flame-generated soot. In: Proceedings of the 40th thermophysics conference, 23-26 June 2008, Seattle, Washington.
21. Xu Y.-L. Electromagnetic scattering by an aggregate of spheres: far field. Appl Opt 1997, 36:9496-9508.
22. Kahnert M. Numerically exact computation of the optical properties of light absorbing carbon aggregates for wavelength of 200nm-12.2γm. Atmos Chem Phys 2010, 10:8319-8329.
23. Liu L., Mishchenko M.I. Scattering and radiative properties of complex soot and soot-containing aggregate particles. J Quant Spectrosc Radiat Transfer 2007, 106:262-273.
24. van Dongen P.G.J., Ernst M.H. Dynamic scaling in the kinetics of clustering. Phys Rev Lett 1985, 54:1396-1399.
25. Johnson V.E.A. Bayesian test for goodness-of-fit. Ann Stat 2004, 32:2361-2384.
26. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical recipes: the art of scientific computing 2007, Cambridge University Press, New York. Third ed.
27. Tian K., Thomson K.A., Liu F., Snelling D.R., Smallwood G.J., Wang D Distribution of the number of primary particles of soot aggregates in a nonpremixed laminar flame. Combust Flame 2004, 138:195-198.
28. Hansen P.C., O'Leary D.P. The use of the L-curve in the regularization of discrete ill-posed problems. SIAM J Sci Comput 1993, 14:1487-1503.