OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 31, Iss. 30 — Oct. 20, 1992
  • pp: 6547–6557

Light-scattering measurements of monomer size, monomers per aggregate, and fractal dimension for soot aggregates in flames

C. M. Sorensen, J. Cai, and N. Lu  »View Author Affiliations


Applied Optics, Vol. 31, Issue 30, pp. 6547-6557 (1992)
http://dx.doi.org/10.1364/AO.31.006547


View Full Text Article

Enhanced HTML    Acrobat PDF (1358 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A new method for the in situ optical determination of the soot-cluster monomer particle radius a, the number of monomers per cluster N, and the fractal dimension D is presented. The method makes use of a comparison of the volume-equivalent sphere radius determined from scattering–extinction measurements RSE and the radius of gyration Rg, which is determined from the optical structure factor. The combination of these data with the measured turbidity permits for a novel measurement of D. The parameters a and N are obtained from a graphical network-analysis scheme that compares RSE and Rg. Corrections for cluster polydispersity are presented. The effects of uncertainty in various input parameters and assumptions are discussed. The method is illustrated by an application to data obtained from a premixed methane–oxygen flame, and reasonable values of a, N, and D are obtained.

© 1992 Optical Society of America

History
Original Manuscript: November 4, 1991
Published: October 20, 1992

Citation
C. M. Sorensen, J. Cai, and N. Lu, "Light-scattering measurements of monomer size, monomers per aggregate, and fractal dimension for soot aggregates in flames," Appl. Opt. 31, 6547-6557 (1992)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-30-6547


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. D’Alessio, A. DiLorenzo, A. F. Sarofim, F. Beretta, S. Masi, C. Venitozzi, “Soot formation in methane-oxygen flames,” in Fifteenth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1975), p. 1427. [CrossRef]
  2. A. D’Alessio, “Laser light scattering and fluorescence diagnostics of rich flames,” in Particulate Carbon, D. C. Siegla, G. W. Smith, eds. (Plenum, New York, 1981), p. 207.
  3. W. Hinds, P. C. Reist, “Aerosol measurement by laser Doppler spectroscopy,” Aerosol Sci. 3, 501–514, 515–529 (1982). [CrossRef]
  4. G. B. King, C. M. Sorensen, T. W. Lester, J. F. Merklin, “Photon correlation spectroscopy used as a particle size diagnostic in sooting flames,” Appl. Opt. 21, 976–978 (1982). [CrossRef] [PubMed]
  5. S. M. Scrivner, T. W. Taylor, C. M. Sorensen, J. F. Merklin, “Soot particles size distribution measurements in a premixed flame using photon correlation spectroscopy,” Appl. Opt. 25, 291–297 (1986). [CrossRef] [PubMed]
  6. W. L. Flower, “Optical measurements of soot formation in flames,” Combust. Sci. Technol. 33, 17–33 (1983). [CrossRef]
  7. M. E. Weill, P. Flament, G. Gousebet, “Diameters and number densities of soot particles in premixed flat flames, propane/oxygen,” Appl. Opt. 22, 2407–2409 (1983). [CrossRef] [PubMed]
  8. M. E. Weill, N. Lhuissier, G. Gouesbet, “Mean diameters and number densities of soot particles in premixed flat flames CH4-O2 by diffusion broadening spectroscopy,” Appl. Opt. 25, 1676–1683 (1986). [CrossRef] [PubMed]
  9. S. R. Forrest, T. A. Witten, “Long-range correlations in smoke-particle aggregates,” J. Phys. A 12, L109–L117 (1979). [CrossRef]
  10. F. Family, D. P. Landau, eds., Kinetics of Aggregation and Gelation (North-Holland, Amsterdam, 1984).
  11. H. E. Stanley, N. Ostrowsky, eds., On Growth and Form (Nijhoff, Boston, Mass., 1986).
  12. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, Calif., 1983).
  13. R. J. Samson, G. W. Mulholland, J. W. Gentry, “Structural analysis of soot agglomerates,” Langmuir 3, 273–281 (1987). [CrossRef]
  14. R. A. Dobbins, C. M. Megaridis, “Morphology of flame-generated soot as determined by thermophoretic sampling,” Langmuir 3, 254–259 (1987). [CrossRef]
  15. T. Freltoft, J. K. Kjems, S. K. Sinha, “Power-law correlations and finite-size effects in silica particle aggregates studied by small-angle neutron scattering,” Phys. Rev. B 33, 269–275 (1986). [CrossRef]
  16. R. D. Mountain, G. W. Mulholland, “Light scattering from simulated smoke agglomerates,” Langmuir 4, 1321–1326 (1988). [CrossRef]
  17. M. V. Berry, I. C. Percival, “Optics of fractal clusters such as smoke,” Opt. Acta 33, 577–591 (1986). [CrossRef]
  18. J. Nelson, “Test of a mean field theory for the optics of fractal clusters,” J. Mod. Opt. 36, 1031–1057 (1989). [CrossRef]
  19. A. J. Hurd, W. L. Flower, “In situ growth and structure of fractal silica aggregates in a flame,” J. Colloid Interface Sci. 122, 178–192 (1988). [CrossRef]
  20. H. X. Zhang, C. M. Sorensen, E. R. Ramer, B. J. Olivier, J. F. Merklin, “In-situ optical structure factor measurements of an aggregating soot aerosol,” Langmuir 4, 867–871 (1988). [CrossRef]
  21. S. Gangopadhyay, I. Elminyawi, C. M. Sorensen, “Optical structure factor measurements of soot particles in a premixed flame,” Appl. Opt. 25, 4859–4864 (1991). [CrossRef]
  22. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  23. G. W. Mulholland, R. J. Samson, R. D. Mountain, M. H. Ernst, “Cluster size distribution for free molecular aggregation,” J. Energy Fuels 2, 481–486 (1988). [CrossRef]
  24. S. J. Harris, A. M. Weiner, “Surface growth of soot particles in premixed ethylene/air flames,” Combust. Sci. Technol. 31, 155–167 (1983). [CrossRef]
  25. S. J. Harris, A. M. Weiner, “Determination of the rate constant for soot surface growth,” Combust. Sci. Technol. 32, 267–276 (1983). [CrossRef]
  26. W. H. Dalzell, A. F. Sarofim, “Optical constants of soot and their application to heat-flux calculations,” J. Heat Transfer 91, 100–104 (1969). [CrossRef]
  27. J. Lahaye, G. Prado, “Morphology and internal structure of carbon blacks and soot,” in Particulate Carbon, D. C. Siegla, G. W. Smith, eds. (Plenum, New York, 1981), p. 33.
  28. P. G. van Dongen, M. H. Ernst, “Dynamic scaling in the kinetics of clustering,” Phys. Rev. Lett. 54, 1396–1394 (1985). [CrossRef] [PubMed]
  29. S. C. Graham, A. Robinson, “A comparison of numerical solutions to the self-preserving size distribution for aerosol coagulation in the free-molecular regime,” J. Aerosol Sci. 7, 261–273 (1976). [CrossRef]
  30. F. S. Lai, S. K. Friedlander, J. Pich, G. M. Hidy, “The self-preserving particle size distribution for Brownian coagulation in the free-molecule regime,” J. Colloid Interface Sci. 39, 395–405 (1972). [CrossRef]
  31. K. W. Lee, “Change of particle size distribution during Brownian coagulation,” J. Colloid Interface Sci. 92, 315–325 (1983). [CrossRef]
  32. C. M. Megaridis, R. A. Dobbins, “Comparison of soot growth and oxidation in smoking and non-smoking ethylene diffusion flames,” Combust. Sci. Technol. 66, 1–16 (1989). [CrossRef]
  33. E. R. Ramer, J. F. Merklin, C. M. Sorensen, “The effect of benzene doping on the sootiness of a premixed methane-oxygen flame,” Combust. Sci. Technol. (to be published).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited