Nongray gas radiation in a plane parallel slab bounded by gray, diffusely reflecting walls is studied using the discrete ordinates method. The spectral equation of transfer is averaged over a narrow wavenumber interval preserving the spectral correlation effect. The governing equations are derived by considering the history of multiple reflections between two reflecting walls. A closure approximation is applied so that only a finite number of reflections have to be explicitly included. The closure solutions express the physics of the problem to a very high degree and show relatively little error. Numerical solutions are obtained by applying a statistical narrow-band model for gas properties and a discrete ordinates code. The net radiative wall heat fluxes and the radiative source distributions are obtained for different temperature profiles. A zeroth-degree formulation, where no wall reflection is handled explicitly, is sufficient to predict the radiative transfer accurately for most cases considered, when compared with increasingly accurate solutions based on explicitly tracing a larger number of wall reflections without any closure approximation applied.
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Discrete Ordinates Solutions of Nongray Radiative Transfer With Diffusely Reflecting Walls
J. A. Menart,
J. A. Menart
Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455
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HaeOk Skarda Lee,
HaeOk Skarda Lee
NASA Lewis Research Center, Cleveland, OH 44135
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Tae-Kuk Kim
Tae-Kuk Kim
Department of Mechanical Engineering, Chung-Ang University, Seoul, South Korea
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J. A. Menart
Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455
HaeOk Skarda Lee
NASA Lewis Research Center, Cleveland, OH 44135
Tae-Kuk Kim
Department of Mechanical Engineering, Chung-Ang University, Seoul, South Korea
J. Heat Transfer. Feb 1993, 115(1): 184-193 (10 pages)
Published Online: February 1, 1993
Article history
Received:
November 20, 1991
Revised:
June 8, 1992
Online:
May 23, 2008
Citation
Menart, J. A., Lee, H. S., and Kim, T. (February 1, 1993). "Discrete Ordinates Solutions of Nongray Radiative Transfer With Diffusely Reflecting Walls." ASME. J. Heat Transfer. February 1993; 115(1): 184–193. https://doi.org/10.1115/1.2910647
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