This paper presents a methodology for the application of the weighted-sum-of-gray-gases (WSGG) model to systems where the medium is bounded by nongray surfaces. The method relies on the assumption that each gray gas absorption coefficient is randomly spread across the entire wavenumber spectrum. It follows that, in the spectral integration of the radiative transfer equation (RTE), the local emission term can be computed by the joint probability of emission from the subsections of the spectrum related to each gray gas coefficient and from each wall emissivity band. One advantage of the proposed methodology is that it allows the use without any modification of WSGG correlations that are available in the literature. The study presents a few test cases considering a one-dimensional (1D), nonuniform medium slab composed of H2O and CO2, bounded by nongray surfaces. The accuracy of the methodology is assessed by direct comparison with line-by-line (LBL) calculations.
Skip Nav Destination
Article navigation
Research-Article
Application of the WSGG Model to Solve the Radiative Transfer in Gaseous Systems With Nongray Boundaries
Roberta Juliana Collet da Fonseca,
Roberta Juliana Collet da Fonseca
Department of Mechanical Engineering,
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: roberta.fonseca@ufrgs.br
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: roberta.fonseca@ufrgs.br
Search for other works by this author on:
Guilherme Crivelli Fraga,
Guilherme Crivelli Fraga
Department of Mechanical Engineering,
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: guilhermecfraga@ufrgs.br
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: guilhermecfraga@ufrgs.br
Search for other works by this author on:
Rogério Brittes da Silva,
Rogério Brittes da Silva
Academic Coordination of Cachoeira do Sul,
Federal University of Santa Maria,
Ernesto Barros Street, 1345,
Cachoeira do Sul 96506-322, RS, Brazil
e-mail: rogerio.silva@ufsm.br
Federal University of Santa Maria,
Ernesto Barros Street, 1345,
Cachoeira do Sul 96506-322, RS, Brazil
e-mail: rogerio.silva@ufsm.br
Search for other works by this author on:
Francis Henrique Ramos França
Francis Henrique Ramos França
Department of Mechanical Engineering,
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: frfranca@mecanica.ufrgs.br
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: frfranca@mecanica.ufrgs.br
Search for other works by this author on:
Roberta Juliana Collet da Fonseca
Department of Mechanical Engineering,
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: roberta.fonseca@ufrgs.br
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: roberta.fonseca@ufrgs.br
Guilherme Crivelli Fraga
Department of Mechanical Engineering,
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: guilhermecfraga@ufrgs.br
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: guilhermecfraga@ufrgs.br
Rogério Brittes da Silva
Academic Coordination of Cachoeira do Sul,
Federal University of Santa Maria,
Ernesto Barros Street, 1345,
Cachoeira do Sul 96506-322, RS, Brazil
e-mail: rogerio.silva@ufsm.br
Federal University of Santa Maria,
Ernesto Barros Street, 1345,
Cachoeira do Sul 96506-322, RS, Brazil
e-mail: rogerio.silva@ufsm.br
Francis Henrique Ramos França
Department of Mechanical Engineering,
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: frfranca@mecanica.ufrgs.br
Federal University of Rio Grande do Sul,
Sarmento Leite Street, 425,
Porto Alegre 90050-170, RS, Brazil
e-mail: frfranca@mecanica.ufrgs.br
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 11, 2017; final manuscript received October 16, 2017; published online February 21, 2018. Assoc. Editor: Laurent Pilon.
J. Heat Transfer. May 2018, 140(5): 052701 (10 pages)
Published Online: February 21, 2018
Article history
Received:
April 11, 2017
Revised:
October 16, 2017
Citation
da Fonseca, R. J. C., Fraga, G. C., da Silva, R. B., and França, F. H. R. (February 21, 2018). "Application of the WSGG Model to Solve the Radiative Transfer in Gaseous Systems With Nongray Boundaries." ASME. J. Heat Transfer. May 2018; 140(5): 052701. https://doi.org/10.1115/1.4038548
Download citation file:
Get Email Alerts
Cited By
Entropic Analysis of the Maximum Output Power of Thermoradiative Cells
J. Heat Mass Transfer
Molecular Dynamics Simulations in Nanoscale Heat Transfer: A Mini Review
J. Heat Mass Transfer
Related Articles
Radiative Cooling of a Turbulent Flame Front
J. Heat Transfer (November,1973)
Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k -Distributions
J. Heat Transfer (November,2014)
The Influence of Real Gas Radiation on the Stability and Development of Benard Convection in a Two-Dimensional Layer
J. Heat Transfer (October,2021)
WSGG Model Correlations to Compute Nongray Radiation From Carbon Monoxide in Combustion Applications
J. Heat Transfer (April,2017)
Related Proceedings Papers
Related Chapters
Radiation
Thermal Management of Microelectronic Equipment
Short-Pulse Collimated Radiation in a Participating Medium Bounded by Diffusely Reflecting Boundaries
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
The MCRT Method for Participating Media
The Monte Carlo Ray-Trace Method in Radiation Heat Transfer and Applied Optics