Abstract
In this study the modified weighted sum of gray gases model (WSGGM) using the gray gas regrouping technique and the discrete ordinates interpolation method (DOIM) are applied to analyze the radiative transfer within an irregular 3-D enclosure filled with non-gray gas mixture of CO2, H2O and N2. The computer code developed in this study is successfully applied for solving the non-gray gas radiation within a 3-D rectangular enclosure and the gray gas radiation within an irregular 3-D enclosure by showing fairly good agreements with the existing results. In this paper the radiative transfer within an irregular 3-D enclosure filled with non-isothermal non-gray gases with uniform mixtures of CO2, H2O and N2 is studied to demonstrate the applicability of the modified sum of gray gases model for irregular systems and to examine the effect of the concentrations of CO2 and H2O on the radiative transfer within modern combustors. Results show that the wall heat fluxes and the radiative heat source terms are increased as the concentrations of CO2 and H2O are increased. Results also show that the radiative fluxes caused by the mixture gases with high concentrations CO2 and H2O which can be observed in oxy-fuel combustion systems can reach up to nearly twice of those found in ordinary air-fuel combustion systems.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. C. Hottel and A. F. Sarofim, Radiative Transfer, McGraw-Hill, New York (1967).
M. F. Modest, The weighted-sum-of-gray-gases model for arbitrary solution methods in radiative transfer, ASME Journal of Heat Transfer, 113(3) (1993) 650–656.
T. F. Smith, Z. F. Shen, J. N. Friedman, Evaluation of coefficients for the weighted sum of gray gases model, ASME Journal of Heat and Mass Transfer, 104 (1993) 602–608.
O. J. Kim, T. H. Song, Implementation of the weighted sum of gray gases model to a narrow band: application and validity, Numerical Heat Transfer Part B: Fundamentals, 30(4) (1996) 453–468.
O. J. Kim, T. H. Song, Data base of WSGGM-based spectral method for radiation of combustion products, Journal of Quantitative Spectroscopy and Radiative Transfer, 64(4) (2000) 379–394.
W. H. Park and T. K Kim, Application of the WSGGM for arbitrary gas mixtures of water vapor and carbon dioxide, Journal of Korean Society for Aeronautical & Space Sciences, 32(6) (2003) 88–95.
W.-H. Park and T.-K. Kim, Development of the WSGGM Using a Gray Gas Regrouping Technique for the Radiative Solution within a 3-D Enclosure Filled with Nonuniform Gas Mixtures, JSME International Journal Series B, 48(2) (2005) 310–315.
E. H. Chui and G. D. Raithby, Computation of radiant heat transfer on a nonorthogonal mesh using the finite-volume method, Numerical Heat Transfer, Part B, 23 (1993) 269–288.
M. Y. Kim and S. W. Baek, Prediction of radiative heat transfer in a three-dimensional gas turbine combustor with the finite-volume method, Proc.’ 96 KSME Spring annual Meeting, Part B, (1996) 610–615.
K. B. Cheong and T. H. Song, Discrete ordinates interpolation method for numerical solution of two-dimensional radiative transfer problems, Numerical Heat Transfer, Part B (1996) (submitted for review).
S. H. Seo and T. K. Kim, Study on interpolation schemes of the discrete ordinates interpolation method for 3-D Radiative Transfer with Nonorthogonal Grids, Journal of Heat Transfer, 120(4) (1998) 1091–1094.
H. Cha and T. H. Song, Discrete ordinates interpolation method applied to irregular three-dimensional geometries, J. of Heat Transfer, 122 (2000) 823–827.
Kihwan Kim, Euntaek Lee and T.-H. Song, Discrete ordinates interpolation method for radiative heat transfer problems in three-dimensional enclosures filled with non-gray or scattering medium, JQSRT, 109 (2008) 2579–2589.
F. Liu, Numerical solutions of three-dimensional non-grey gas radiative transfer using statistical narrow-band model,” Journal of Heat Transfer, 121(22) (1999) 200–203.
R. M. Goody, R. West, L. Chen and D. Chrisp, The correlated-k method for radiation calculations in non-homogeneous atmospheres, JQSRT, 42(6) (1989) 539–550.
A. A. Lacis and V. Oinas, A description of the correlated k-distribution method for modeling non-gray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres, J. of Geophysical Research, 96(D5) (1991) 9027–9063.
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper was recommended for publication in revised form by Associate Editor Ohchae Kwon
Kyung-Beom Yoon received his B.S. and M.S. in the school of Mechanical Engineering from Chung Ang University, Korea, in 2006 and 2008, respectively. His current research interest is a numerical analysis of combined heat transfer.
Tae-Kuk Kim received his M.S. in the school of Mechanical Engineering from Korea Advanced Institute of Science and Technology, Korea, in 1979. He received M.S. and Ph.D. in Mechanical Engineering from University of Minnesota, United States of America in 1986 and 1990, respectively. His current research interests are combined heat transfer and radiative energy transmission.
Rights and permissions
About this article
Cite this article
Yoon, KB., Chang, HC. & Kim, TK. Study on the radiative transfer through non-gray gas mixtures within an irregular 3-D enclosure by using the modified weighted sum of gray gas method. J Mech Sci Technol 24, 1531–1536 (2010). https://doi.org/10.1007/s12206-010-0405-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-010-0405-5