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# SLW-1 Modeling of Radiative Heat Transfer in Nonisothermal Nonhomogeneous Gas Mixtures With Soot

[+] Author and Article Information

Department of Mechanical Engineering,  Brigham Young University, Provo, UT 84604-4201

Denis Lemonnier

Institut Pprime,  CNRS-ENSMA-University of Poitiers, UPR 3346, 86961 Futuroscope, France

Brent W. Webb1

Department of Mechanical Engineering,  Brigham Young University, Provo, UT 84604-4201 e-mail: webb@byu.edu

1

Corresponding author.

J. Heat Transfer 133(10), 102701 (Aug 23, 2011) (9 pages) doi:10.1115/1.4003903 History: Received August 27, 2010; Revised March 10, 2011; Published August 23, 2011; Online August 23, 2011

## Abstract

The spectral line weighted-sum-of-gray-gases (SLW) model consisting only of a single gray gas and of one clear gas is developed as an efficient spectral method for modeling radiation transfer in gaseous medium. The model is applied here in prediction of radiative transfer in nonisothermal and nonhomogeneous gas mixtures with nongray soot. The absorption spectrum of the gas mixture and soot particles is treated as a spectrum of a single effective gas, reducing the problem to the simplest case of the SLW model with a single gray gas and a clear gas. Good accuracy can be achieved by the optimal choice of the model’s gray gas absorption coefficient and its weight by application of the absorption-line blackbody distribution functions of individual species in the mixture calculated with a high-resolution spectral database. The SLW-1 model is validated by comparison with benchmark solutions using the line-by-line method, the SLW method with a large number of gray gases, and the SNB model.

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## Figures

Figure 1

The SLW-1 spectral model

Figure 2

The total net radiative flux F(x) and the total divergence of the net radiative flux Q(x) for Example 1

Figure 3

Definition of the soot ALBDF, Fsoot(C,Tg,Tb,fv)

Figure 4

The SLW spectral model of soot and the SLW-1 spectral model of soot

Figure 5

Soot ALBDF Fsoot(C) at 1000 K for different soot volume fractions, and the total forward radiative flux F+(x) for Example 2

Figure 6

The SLW-1 model reference approach in nonisothermal and nonhomogeneous medium

Figure 7

Total divergence of the net radiative flux for Example 3

Figure 8

Total divergence of the net radiative flux for Example 4

Figure 9

Total divergence of the net radiative flux from Example 5

Figure 10

Total divergence of the net radiative flux from Example 6

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