Research Papers: Heat Exchangers

The Treatment of Nongray Properties in Radiative Heat Transfer: From Past to Present

[+] Author and Article Information
Michael F. Modest

Life Fellow ASME
University of California at Merced,
Merced, CA 95343
e-mail: MModest@ucmerced.edu

Manuscript received October 19, 2012; final manuscript received December 17, 2012; published online May 16, 2013. Assoc. Editor: Leslie Phinney.

J. Heat Transfer 135(6), 061801 (May 16, 2013) (12 pages) Paper No: HT-12-1582; doi: 10.1115/1.4023596 History: Received October 19, 2012; Revised December 17, 2012

Radiative heat transfer in high-temperature participating media displays very strong spectral, or “nongray,” behavior, which is both very difficult to characterize and to evaluate. This has led to very gradual development of nongray models, starting with primitive semigray and box models based on old experimental property data, to today's state-of-the-art k-distribution approaches with properties obtained from high-resolution spectroscopic databases. In this paper a brief review of the historical development of nongray models and property databases is given, culminating with a more detailed description of the most modern spectral tools.

Copyright © 2013 by ASME
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Fig. 1

Absorption coefficient of water vapor at 1000 K, 1 bar, and a mole fraction of 25% in nitrogen

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Fig. 2

Nondimensional heat loss from an isothermal N2, H2O, CO2 mixture with and without soot [3]

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Fig. 3

Extraction of k-distributions from spectral absorption coefficient data: (a) simplified absorption coefficient across a small portion of the CO2 15 μm band (p = 1.0 bar, T = 296 K); (b) corresponding k-distribution f (k) and cumulative k-distribution k (g) [3]

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Fig. 4

Planck function weighted cumulative k-distributions for 10% CO2 in nitrogen for gas and Planck function temperatures of 1000 K, as evaluated from the HITEMP database and the correlation by Modest [3]

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Fig. 5

Heat loss from an isothermal slab of 10% CO2 in nitrogen at T=1000 K, as evaluated from the LBL, FSK, and SLW models [3]

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Fig. 6

Relative errors of the FSCK, FSSK, MSFSKdir, and MSFSKnb calculations for heat fluxes leaving from the right side of a two-layer slab with step changes in temperature and mole fraction. Left layer (50 cm width): 1500 K, 2% CO2 and 20% H2O; right layer (varying width): 500 K, 20% CO2 and 2% H2O [87].

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Fig. 7

(a) Local radiative heat source using LBL method and relative error (compared to LBL) for heat source calculations using (b) the single-scale FSK method; (c) the MSFSK method; and (d) the 2 group MSMGFSK method [90]




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