Nongray radiation from gas and soot mixtures in planar plates based on statistical narrow-band spectral model

Abstract

The nongray behavior of combustion products plays an important role in various areas of engineering. Based on the statistical narrow-band (SNB) spectral model with an exponential-tailed inverse intensity distribution and the ray-tracing method, a comprehensive investigation of the influence of soot on nongray radiation from mixtures containing H₂O/N₂+soot, CO₂/N₂+soot, or H₂O/CO₂/N₂+soot was conducted in this paper. In combustion applications, radiation transfer is significantly enhanced by soot due to its spectrally continuous emission. The effect of soot volume fraction up to 1×10^-6 on the source term, the narrow-band radiation intensities along a line-of-sight, and the net wall heat fluxes were investigated for a wide range of temperature. The effect of soot was significant and became increasingly drastic with the increase of soot loading.

Keywords

soot / combustion / SNB model / nongray radiation

References

[1] Modest M F. Radiative Heat Transfer. 2nd ed. San Diego, New York: Academic Press, 2003

[2] Song T H. Comparison of engineering models of non-grey behavior of combustion products. International Journal of Heat Mass Transfer, 1993, 36(16): 3975–3982

[3] Marakis J G. Application of narrow and wide band models for radiative transfer in planar media. International Journal of Heat Mass Transfer, 2001, 44(1): 131–142

[4] Hottel H C, Sarofim A F. Radiative Transfer. 1st ed. New York: McGraw-Hill, 1967

[5] Rothman L S, Gordon I E, Barbe A, Benner D C, Bernath P F, Birk M, Boudon V, Brown L R, Campargue A, Champion J-P, Chance K, Coudert L H, Dana V, Devi V M, Fally S, Flaud J-M, Gamache R R, Goldman A, Jacquemart D, Kleiner I, Lacome N, Lafferty W J, Mandin J-Y, Massie S T, Mikhailenko S N, Miller C E, Moazzen-Ahmadi N, Naumenko O V, Nikitin A V, Orphal J, Perevalov V I, Perrin A, Predoi-Cross A, Rinsland C P, Rotger M, ŠimečkováM, Smith M A H, Sung K, Tashkun S A, Tennyson J, Toth R A, Vandaele A C, Vander Auwera J. The HITRAN 2008 molecular spectroscopic database. Journal of Quantitative Spectroscopy and Radiative Transfer, 2009, 110(9,10): 533–572

[6] Rothman L S, Camy-Peyret C, Flaud J M, Camache R R, Goldman A, Goorvitch D, Hawkins L H, Schroeder J, Selby J E A, Wattson R B. HITEMP, the high-temperature molecular spectroscopic database 2000. Journal of Quantitative Spectroscopy and Radiative Transfer, 2010, 111(15): 2139–2150

[7] Goody R. A statistical model for water vapour absorption. Quarterly Journal of the Royal Meteorological Society, 1952, 78(336): 165–169

[8] Malkmus W. Random Lorentz band model with exponential-tailed S^-1 line intensity distribution function. Journal of the Optical Society of America, 1967, 57(3): 323–329

[9] Marin O, Buckius R O. Wide band correlated-k approach to thermal radiative transport in nonhomogeneous media. ASME Journal of Heat Transfer, 1997, 119(4): 719–729

[10] Chu H, Cheng Q, Zhou H, Liu F. Comparison of two statistical narrow band models for non-gray gas radiation in planar plates. In: Webb B W, Lemonnier D, eds. Proceedings of the 6th International Symposium on Radiative Transfer, Antalya, Turkey, 2010

[11] Cumber P S, Fairweather M, Ledin H S. Application of wide band radiation models to non-homogeneous combustion systems. Int J Heat Mass Transfer, 1998, 41(11): 1573–1584

[12] Bressloff N W. The influence of soot loading on weighted sum of grey gases solutions to the radiative transfer equation across mixtures of gases and soot. International Journal of Heat and Mass Transfer, 1999, 42(18): 3469–3480

[13] Solovjov V P, Webb B W. The influence of carbon monoxide on radiation transfer from a mixture of combustion gases and soot. In: Lemonnier D, Selçuk N, Lybaert P, eds. Proceedings of Eurotherm 78-Computational Thermal Radiation in Participating MdeiaⅡ. Poitiers, France, 2006, 207–214

[14] Liu F, Guo H, Smallwood G J, Gülder Ö L. Effects of gas and soot radiation on soot formation in a coflow laminar ethylene diffusion flame. Journal of Quantitative Spectroscopy and Radiative Transfer, 2002, 73(2–5): 409–421

[15] Liu F, Guo H, Smallwood G J, Hafi M E. Effects of gas and soot radiation on soot formation in counterflow ethylene diffusion flames. Journal of Quantitative Spectroscopy and Radiative Transfer, 2004, 84(4): 501–511

[16] Liu F, Thomson K A, Smallwood G J. Effects of soot absorption and scattering on LII intensities in laminar coflow diffusion flames. Journal of Quantitative Spectroscopy and Radiative Transfer, 2008, 109(2): 337–348

[17] Brookes S J, Moss J B. Predictions of soot and thermal radiation properties in confined turbulent jet diffusion flames. Combustion and Flame, 1999, 116(4): 486–503

[18] Yan Z, Holmstedt G. Fast, narrow-band computer model for radiation caculations. Numerical Heat Transfer, Part B, 1997, 31(1): 61–71

[19] Wang L Y. Detailed chemistry, soot, and radiation calculations in turbulent reacting flows. Dissertation for the Doctoral Degree. University Park: The Pennsylvania State University, 2004

[20] Liu F, Gülder Ö L, Smallwood G J, Ju Y. Non-grey gas radiative transfer analyses using the statistical narrow-band model. International Journal of Heat and Mass Transfer, 1998, 41(14): 2227–2236

[21] Siegel R, Howell J R. Thermal Radiation Heat Transfer. 4th ed. New York: Taylor & Francis, 2002

[22] Kim T K, Menart J A, Lee H S. Non-grey radiative gas analysis using the S-N discrete ordinates method. ASME Journal of Heat Transfer, 1991, 113(4): 946–952

[23] Ludwig D B, Malkmus W, Reardon J E, Thomson J A L. Handbook of Infrared Radiation from Combustion Gases, NASA SP3080. Washington, D C: NASA, 1973

[24] Soufiani A, Hartmann J M, Taine J. Validity of band-model calculations for CO, and H₂O applied to radiative properties and conductive-radiative transfer. Journal of Quantitative Spectroscopy and Radiative Transfer, 1985, 33(3): 243–257

[25] Soufiani A, Taine J. High temperature gas radiative property parameters of statistical narrow band model for H₂O, CO₂ and CO, and correlated k model for H₂O and CO₂. International Journal of Heat and Mass Transfer, 1997, 40(4): 987–991

[26] Godson W L. The evaluation of infra-red radiation fluxes due to atmospheric water vapor. Quarterly Journal of the Royal Meteorological Society, 1953, 79(341): 367–379

[27] Buckius R O, Tien C L. Infrared flame radiation. International Journal of Heat and Mass Transfer, 1977, 20(2): 93–106

[28] Denison M K. A spectral line-based weighted-sum-of-gray-gases model for arbitrary RTE Solvers. Dissertation for the Doctoral Degree. Provo, U T: Brigham Young University, 1994

[29] Solovjov V P. Spectral line-based weighted-sum-of-gray-gases modeling of radiative transfer in multicompon mixtures of hot gases. Dissertation for the Doctoral Degree. Provo, U T: Brigham Young University, 1999