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Discrete ordinates solutions of nongray radiative transfer with diffusely reflecting wallsNongray 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 wails. 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 wail 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 wail reflections without any closure approximation applied.
Document ID
Document Type
Reprint (Version printed in journal)
Menart, J. A.
(Minnesota Univ. Minneapolis, United States)
Lee, Haeok S.
(NASA Lewis Research Center Cleveland, OH, United States)
Kim, Tae-Kuk
(Chung-Ang Univ. Seoul, Republic Of Korea)
Date Acquired
August 16, 2013
Publication Date
February 1, 1993
Publication Information
Publication: ASME, Transactions, Journal of Heat Transfer
Volume: 115
Issue: 1
ISSN: 0022-1481
Subject Category
Thermodynamics And Statistical Physics
Accession Number
Funding Number(s)
Distribution Limits

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