Skip to main content
SpringerLink
Log in

Calculations of narrow-band transimissities and the Planck mean absorption coefficients of real gases using line-by-line and statistical narrow-band models

  • Research Article
  • Published:
Frontiers in Energy Aims and scope Submit manuscript

Abstract

Narrow-band transmissivities in the spectral range of 150 to 9300 cm−1 and at a uniform resolution of 25 cm−1 were calculated using the statistical narrow-band (SNB) model with the band parameters of Soufiani and Taine, the more recent parameters of André and Vaillon, and the line-by-line (LBL) method along with the HITEMP-2010 spectroscopic database. Calculations of narrow-band transmissivity were conducted for gas columns of different lengths and containing different isothermal and non-isothermal CO2-H2O-N2 mixtures at 1 atm. Narrow-band transmissivities calculated by the SNB model are in large relative error at many bands. The more recent SNB model parameters of André and Vaillon are more accurate than the earlier parameters of Soufiani and Taine. The Planck mean absorption coefficients of CO2, H2O, CO, and CH4 in the temperature range of 300 to 2500 K were calculated using the LBL method and different versions of the high resolution transmission (HITRAN) and high-temperature spectroscopic absorption parameters (HITEMP) spectroscopic databases. The SNB model was also used to calculate the Planck mean absorption coefficients of these four radiating gases. The LBL results of the Planck mean absorption coefficient were compared with the classical results of Tien and those from the SNB model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Google Scholar 

  2. Denison M K, Webb B W. A spectral line-based weighted-sum-of-gray-gases model for arbitrary RTE solvers.Journal of Heat Transfer, 1993, 115(4): 1004–1012

    Article  Google Scholar 

  3. Liu F S, Smallwood G J, Gülder Ö L. Application of the statistical narrow-band correlated-k method to low-resolution spectral intensity and radiative heat transfer calculations—effects of the quadrature scheme. International Journal of Heat and Mass Transfer, 2000, 43(17): 3119–3135

    Article  MATH  Google Scholar 

  4. Modest M F, Zhang H M. The full-spectrum correlated-k distribution for thermal radiation from molecular gas-particulate mixtures. Journal of Heat Transfer, 2002, 124(1): 30–38

    Article  Google Scholar 

  5. André F, Vaillon R. The spectral-line moment-based (SLMB) modeling of the wide band and global blackbody-weighted transmission function and cumulative distribution function of the absorption coefficient in uniform gaseous media. Journal of Quantitative Spectroscopy & Radiative Transfer, 2008, 109(14): 2401–2416

    Article  Google Scholar 

  6. Zhang J Q, Cheng J S. Determination of the temperature profile of axisymmetric combustion-gas flow from infrared spectral measurements. Combustion and Flame, 1986, 65(2): 163–176

    Article  Google Scholar 

  7. 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

    Article  Google Scholar 

  8. Modest M F. Narrow-band and full-spectrum k-distributions for radiative heat transfer correlated-k vs. scaling approximation. Journal of Quantitative Spectroscopy & Radiative Transfer, 2003, 76(1): 69–83

    Article  Google Scholar 

  9. Chu H Q, Liu F S, Zhou H C. Calculations of gas thermal radiation transfer in one-dimensional planar enclosure using LBL and SNB models. International Journal of Heat and Mass Transfer, 2011, 54(21–22): 4736–4745

    Article  MATH  Google Scholar 

  10. Rothman L S. The evolution and impact of the HITRAN molecular spectroscopic database. Journal of Quantitative Spectroscopy & Radiative Transfer, 2010, 111(11): 1565–1567

    Article  MathSciNet  Google Scholar 

  11. Rothman L S, Gordon I E, Barber R J, Dothe H, Gamache R R, Goldman A, Perevalov V I, Tashkun S A, Tennyson J. HITEMP, the high-temperature molecular spectroscopic database. Journal of Quantitative Spectroscopy & Radiative Transfer, 2010, 111(15): 2139–2150

    Article  Google Scholar 

  12. Tashkun S A, Perevalov V I, Teffo J L, Bykov A D, Lavrentieva N N. CDSD-1000, the high-temperature carbon dioxide spectroscopic databank. Journal of Quantitative Spectroscopy & Radiative Transfer, 2003, 82(1–4): 165–196

    Article  Google Scholar 

  13. 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

    Article  Google Scholar 

  14. André F, Vaillon R. A nonuniform narrow band correlated-k approximation using the k-moment method. Journal of Quantitative Spectroscopy & Radiative Transfer, 2010, 111(12-13): 1900–1911

    Article  Google Scholar 

  15. Zhang HM, Modest MF. Evaluation of the Planck-mean absorption coefficients from HITRAN and HITEMP databases. Journal of Quantitative Spectroscopy & Radiative Transfer, 2002, 73(6): 649–653

    Article  Google Scholar 

  16. Taine J. A line by line calculation of low-resolution radiative properties of CO2-CO-transparent nonisothermal gas mixtures up to 3000 K. Journal of Quantitative Spectroscopy & Radiative Transfer, 1983, 30(4): 371–379

    Article  Google Scholar 

  17. Taine J, Soufiani A. Gas IR radiative properties: from spectroscopic data to approximate models. Advances in Heat Transfer, 1999, 33: 295–414

    Article  Google Scholar 

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

    Article  Google Scholar 

  19. 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

    Article  Google Scholar 

  20. Ju Y G, Guo H S, Liu F S, Maruta K. Effects of the Lewis number and radiative heat loss on the bifurcation and extinction of CH4/O2-N2-He flames. Journal of Fluid Mechanics, 1999, 379: 165–190

    Article  MATH  Google Scholar 

  21. Hartmann J M, Levi Di Leon R, Taine J. Line-by-line and narrowband statistical model calculations for H2O. Journal of Quantitative Spectroscopy & Radiative Transfer, 1984, 32(2): 119–127

    Article  Google Scholar 

  22. Perrin M Y, Soufiani A. Approximate radiative properties of methane at high temperature. Journal of Quantitative Spectroscopy & Radiative Transfer, 2007, 103(1): 3–13

    Article  Google Scholar 

  23. Tien C L. Thermal radiation properties of gases. Advances in Heat Transfer, 1968, 5: 253–324

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Energy and Environment, Anhui University of Technology, Ma’anshan, 243002, China

    Huaqiang Chu & Mingyan Gu

  2. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Tsinghua University, Beijing, 100084, China

    Huaichun Zhou

  3. Institute for Chemical Process and Environmental Technology, National Research Council, Montreal Road, Ottawa, Ont., K1A 0R6, Canada

    Fengshan Liu

Authors
  1. Huaqiang Chu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mingyan Gu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Huaichun Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Fengshan Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Huaqiang Chu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chu, H., Gu, M., Zhou, H. et al. Calculations of narrow-band transimissities and the Planck mean absorption coefficients of real gases using line-by-line and statistical narrow-band models. Front. Energy 8, 41–48 (2014). https://doi.org/10.1007/s11708-013-0292-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11708-013-0292-4

Keywords

Search

Navigation