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RESEARCH PAPERS: Radiative Transfer

Discrete Ordinates Solutions of Nongray Radiative Transfer With Diffusely Reflecting Walls

[+] Author and Article Information
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 115(1), 184-193 (Feb 01, 1993) (10 pages) doi:10.1115/1.2910647 History: Received November 20, 1991; Revised June 08, 1992; Online May 23, 2008

Abstract

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.

Copyright © 1993 by The American Society of Mechanical Engineers
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