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Effect of the wavelength dependence of the emissivity on inferred soot temperatures measured by spectrally resolved laser-induced incandescence

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Abstract

Flame-generated soot was heated using a pulsed laser, and temperatures of the irradiated soot were inferred by fitting the Planck function to spectrally resolved laser-induced incandescence with the temperature as an adjustable parameter. The effect of the wavelength dependence of the emissivity on the inferred temperatures of the irradiated soot was studied using selected expressions for the soot emissivity in the fit. Depending upon the choice of the functional form of the emissivity, the maximum temperature reached by the soot during the laser pulse was calculated to span a range of 341 K (3475–3816 K) at a 1064-nm laser fluence of 0.1 J/cm2 and 456 K (4115–4571 K) at a 1064-nm laser fluence of 0.4 J/cm2 with a 1σ standard deviation about the mean of ∼25 K. Comparison of the present results with temperature measurements from previous studies suggests that the emissivity may depend on flame conditions and that further investigation on the subject is needed. The use of two-color or spectrally resolved LII to infer the soot temperature during or after laser heating requires a careful characterization of the wavelength dependence of the emissivity. The spread in temperature leads to large uncertainties regarding the physico-chemical processes occurring at the surface of the soot during the laser heating.

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References

  1. R.J. Santoro, C.R. Shaddix, in Applied Combustion Diagnostics, ed. by K. Kohse-Höinghaus, J.B. Jeffries (Taylor & Francis, London, 2002), p. 252

    Google Scholar 

  2. D.B. Kittelson, J. Aerosol Sci. 29, 575 (1998)

    Article  Google Scholar 

  3. T. Schittkowski, B. Mewes, D. Brüggemann, Phys. Chem. Chem. Phys. 4, 2063 (2002)

    Article  Google Scholar 

  4. C. Allouis, A. D’Alessio, C. Noviello, F. Beretta, Combust. Sci. Technol. 153, 51 (2000)

    Article  Google Scholar 

  5. B. Axelsson, R. Collin, P.-E. Bengtsson, Appl. Opt. 39, 3683 (2000)

    Article  ADS  Google Scholar 

  6. R.T. Wainner, J.M. Seitzman, Soot diagnostics using laser-induced incandescence in flames and exhaust flows, in 37th AIAA Aerospace Sciences Meeting and Exhibit (AIAA, 1999), AIAA 99

  7. D. Baumgardner, G. Kok, M. Kramer, F. Weidle, Environ. Res. Lett. 3, 025010 (2008)

    Article  ADS  Google Scholar 

  8. J.P. Schwarz, R.S. Gao, D.W. Fahey, D.S. Thomson, L.A. Watts, J.C. Wilson, J.M. Reeves, M. Darbeheshti, D.G. Baumgardner, G.L. Kok, S.H. Chung, M. Schulz, J. Hendricks, A. Lauer, B. Karcher, J.G. Slowik, K.H. Rosenlof, T.L. Thompson, A.O. Langford, M. Loewenstein, K.C. Aikin, J. Geophys. Res. D 111, D16207 (2006)

    Article  ADS  Google Scholar 

  9. J. Delhay, P. Desgroux, E. Therssen, H. Bladh, P.E. Bengtsson, H. Honen, J.D. Black, I. Vallet, Appl. Phys. B 95, 825 (2009)

    Article  ADS  Google Scholar 

  10. N.H. Qamar, Z.T. Alwahabi, Q.N. Chan, G.J. Nathan, D. Roekaerts, K.D. King, Combust. Flame 156, 1339 (2009)

    Article  Google Scholar 

  11. D.R. Snelling, G.J. Smallwood, F. Liu, Ö.L. Gülder, W.D. Bachalo, Appl. Opt. 44, 6773 (2005)

    Article  ADS  Google Scholar 

  12. C. Allouis, F. Beretta, A. D’Alessio, Exp. Therm Fluid Sci. 27, 455 (2003)

    Article  Google Scholar 

  13. A. Boiarciuc, F. Foucher, C. Mounaim-Rousselle, Appl. Phys. B 83, 413 (2006)

    Article  ADS  Google Scholar 

  14. B.F. Kock, T. Eckhardt, P. Roth, Proc. Combust. Inst. 29, 2775 (2002)

    Article  Google Scholar 

  15. V. Krüger, C. Wahl, R. Hadef, K.P. Geigle, W. Stricker, M. Aigner, Meas. Sci. Technol. 16, 1477 (2005)

    Article  ADS  Google Scholar 

  16. S. De Iuliis, F. Migliorini, F. Cignoli, G. Zizak, Appl. Phys. B 83, 397 (2006)

    Article  ADS  Google Scholar 

  17. D.R. Snelling, K.A. Thomson, G.J. Smallwood, Appl. Phys. B 96, 657 (2009)

    Article  ADS  Google Scholar 

  18. T. Lehre, B. Jungfleisch, R. Suntz, H. Bockhorn, Appl. Opt. 42, 2021 (2003)

    Article  ADS  Google Scholar 

  19. T. Lehre, R. Suntz, H. Bockhorn, Proc. Combust. Inst. 30, 2585 (2005)

    Article  Google Scholar 

  20. M. Charwath, R. Suntz, H. Bockhorn, Appl. Phys. B 83, 435 (2006)

    Article  ADS  Google Scholar 

  21. S. Schraml, S. Dankers, K. Bader, S. Will, A. Leipertz, Combust. Flame 120, 439 (2000)

    Article  Google Scholar 

  22. F. Goulay, P.E. Schrader, H.A. Michelsen, In preparation

  23. H.A. Michelsen, J. Chem. Phys. 118, 7012 (2003)

    Article  ADS  Google Scholar 

  24. H.A. Michelsen, F. Liu, B.F. Kock, H. Bladh, A. Boiarciuc, M. Charwath, T. Dreier, R. Hadef, M. Hofmann, J. Reimann, S. Will, P.-E. Bengtsson, H. Bockhorn, F. Foucher, K.P. Geigle, C. Mounaïm-Rousselle, C. Schulz, R. Stirn, B. Tribalet, R. Suntz, Appl. Phys. B 87, 503 (2007)

    Article  ADS  Google Scholar 

  25. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation. Physical Chemistry: A Series of Monographs, vol. 16 (Academic Press, San Diego, 1969)

    Google Scholar 

  26. J.C. Ku, K.-H. Shim, J. Quant. Spectrosc. Radiat. Transfer 47, 201 (1992)

    Article  ADS  Google Scholar 

  27. J.C. Ku, K.-H. Shim, J. Heat Transfer 113, 953 (1991)

    Article  Google Scholar 

  28. K.A. Fuller, W.C. Malm, S.M. Kreidenweis, J. Geophys. Res. 104, 15 (1999)

    Article  Google Scholar 

  29. J. Reimann, S.-A. Kuhlmann, S. Will, Appl. Phys. B 96, 583 (2009)

    Article  ADS  Google Scholar 

  30. B.F. Kock, B. Tribalet, C. Schulz, P. Roth, Combust. Flame 147, 79 (2006)

    Article  Google Scholar 

  31. H. Chang, T.T. Charalampopoulos, Proc. R. Soc. Lond. Ser. A 430, 577 (1990)

    Article  ADS  Google Scholar 

  32. D.R. Snelling, F. Liu, G.J. Smallwood, Ö.L. Gülder, Combust. Flame 136, 180 (2004)

    Article  Google Scholar 

  33. F. Liu, D.R. Snelling, K.A. Thomson, G.J. Smallwood, Appl. Phys. B 96, 623 (2009)

    Article  ADS  Google Scholar 

  34. K.C. Smyth, C.R. Shaddix, Combust. Flame 107, 314 (1996)

    Article  Google Scholar 

  35. A. Borghesi, G. Guizzetti, in Handbook of Optical Constants of Solids II, ed. by E.D. Palik (Academic Press, San Diego, 1998), p. 449

    Google Scholar 

  36. D.L. Greenaway, G. Harbeke, F. Bassani, E. Tosatti, Phys. Rev. 178, 1340 (1969)

    Article  ADS  Google Scholar 

  37. A.M. Malvezzi, M. Romanoni, Int. J. Thermophys. 13, 131 (1992)

    Article  Google Scholar 

  38. B.J. Stagg, T.T. Charalampopoulos, Combust. Flame 94, 381 (1993)

    Article  Google Scholar 

  39. S.S. Krishnan, K.-C. Lin, G.M. Faeth, J. Heat Transfer 123, 331 (2001)

    Article  Google Scholar 

  40. Ü.Ö. Köylü, Combust. Flame 109, 488 (1996)

    Article  Google Scholar 

  41. Ü.Ö. Köylü, G.M. Faeth, J. Heat Transfer 118, 415 (1996)

    Article  Google Scholar 

  42. M. Schnaiter, H. Horvath, O. Mohler, K.H. Naumann, H. Saathoff, O.W. Schock, J. Aerosol Sci. 34, 1421 (2003)

    Article  Google Scholar 

  43. S.S. Krishnan, K.C. Lin, G.M. Faeth, J. Heat Transfer 122, 517 (2000)

    Article  Google Scholar 

  44. R.A. Dobbins, G.W. Mulholland, N.P. Bryner, Atmos. Environ. 28, 889 (1994)

    Article  Google Scholar 

  45. C.W. Bruce, T.F. Stromberg, K.P. Gurton, J.B. Mozer, Appl. Opt. 30, 1537 (1991)

    Article  ADS  Google Scholar 

  46. D.R. Snelling, K.A. Thomson, G.J. Smallwood, O.L. Gulder, E.J. Weckman, R.A. Fraser, AIAA J. 40, 1789 (2002)

    Article  ADS  Google Scholar 

  47. H.A. Michelsen, P.E. Schrader, F. Goulay, Carbon 48, 2175 (2010)

    Article  Google Scholar 

  48. C. Schulz, B.F. Kock, M. Hofmann, H.A. Michelsen, S. Will, B. Bougie, R. Suntz, G.J. Smallwood, Appl. Phys. B 83, 333 (2006)

    Article  ADS  Google Scholar 

  49. F. Goulay, P.E. Schrader, H.A. Michelsen, Appl. Phys. B 96, 613 (2009)

    Article  ADS  Google Scholar 

  50. F. Goulay, P.E. Schrader, L. Nemes, M.A. Dansson, H.A. Michelsen, Proc. Combust. Inst. 32, 963 (2009)

    Article  Google Scholar 

  51. R.J. Santoro, J.H. Miller, Langmuir 3, 244 (1987)

    Article  Google Scholar 

  52. R. Puri, T.F. Richardson, R.J. Santoro, R.A. Dobbins, Combust. Flame 92, 320 (1993)

    Article  Google Scholar 

  53. R.L. Vander Wal, T.M. Ticich, A.B. Stephens, Combust. Flame 116, 291 (1999)

    Article  Google Scholar 

  54. C.M. Megaridis, R.A. Dobbins, Combust. Sci. Technol. 66, 1 (1989)

    Article  Google Scholar 

  55. R.A. Dobbins, C.M. Megaridis, Langmuir 3, 254 (1987)

    Article  Google Scholar 

  56. M.A. Dansson, M. Boisselle, M.A. Linne, H.A. Michelsen, Appl. Opt. 46, 8095 (2007)

    Article  ADS  Google Scholar 

  57. S. Distasio, P. Massoli, Meas. Sci. Technol. 5, 1453 (1994)

    Article  ADS  Google Scholar 

  58. H.R. Leider, O.H. Krikorian, D.A. Young, Carbon 11, 555 (1973)

    Article  Google Scholar 

  59. P.-E. Bengtsson, M. Aldén, Appl. Phys. B 60, 51 (1995)

    Article  ADS  Google Scholar 

  60. F. Goulay, P.E. Schrader, L. Nemes, H.A. Michelsen, Mol. Phys. 108, 1013 (2010)

    Article  Google Scholar 

  61. K. Sasaki, T. Wakabayashi, S. Matsui, K. Kadota, J. Appl. Phys. 91, 4033 (2002)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Combustion Research Facility, Sandia National Laboratories, P.O. Box 969, MS 9055, Livermore, CA, 94551, USA

    F. Goulay, P. E. Schrader & H. A. Michelsen

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  1. F. Goulay
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  2. P. E. Schrader
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  3. H. A. Michelsen
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Correspondence to H. A. Michelsen.

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Goulay, F., Schrader, P.E. & Michelsen, H.A. Effect of the wavelength dependence of the emissivity on inferred soot temperatures measured by spectrally resolved laser-induced incandescence. Appl. Phys. B 100, 655–663 (2010). https://doi.org/10.1007/s00340-010-4119-2

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  • DOI: https://doi.org/10.1007/s00340-010-4119-2

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