Erratum: “The Use of the Milne-Eddington Absorption Coefficient for Radiative Heat Transfer in Combustion Systems” (Journal of Heat Transfer, 1977, 99, pp. 458–465)

1980 ◽  
Vol 102 (2) ◽  
pp. 396-396
Author(s):  
J. D. Felske ◽  
C. L. Tien
Keyword(s):  
Heat Transfer ◽  
Absorption Coefficient ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Combustion Systems

The Use of the Milne-Eddington Absorption Coefficient for Radiative Heat Transfer in Combustion Systems

1977 ◽  
Vol 99 (3) ◽  
pp. 458-465 ◽  
Author(s):  
J. D. Felske ◽  
C. L. Tien
Keyword(s):  
Heat Transfer ◽  
Absorption Coefficient ◽  
Closed Form ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Wide Band ◽  
One Dimensional ◽  
Soot Particles ◽  
Closed Form Solutions ◽  
Combustion Systems

The applicability of the Milne-Eddington absorption coefficient approximation is discussed in relation to the calculation of radiative transport involving the two distinct types of species produced in combustion systems—gases and soot particles. The approximation is found to apply well to hydrocarbon soot particles and as a result analytical closed-form solutions are derived for the radiative heat transfer inside one-dimensional slab shaped soot clouds. (The applicability of the gray approximation to soot is also discussed.) For the calculation of total band radiation from gases, however, the Milne-Eddington approximation is found to be questionable. The meaning of its assumption is discussed in light of an established Curtis-Godson wide band scaling approximation. Its usefulness for real gases is then assessed through the calculation and comparison of slab radiation by both techniques.

Importance of Combined Lorentz-Doppler Broadening in High-Temperature Radiative Heat Transfer Applications

2004 ◽  
Vol 126 (5) ◽  
pp. 858-861 ◽  
Author(s):  
Anquan Wang ◽  
Michael F. Modest
Keyword(s):  
Heat Transfer ◽  
High Temperature ◽  
Critical Temperature ◽  
Absorption Coefficient ◽  
Radiative Heat Transfer ◽  
Total Pressure ◽  
Radiative Heat ◽  
Narrow Band ◽  
Spectral Lines ◽  
Doppler Broadening

The importance of combined Lorentz-Doppler (or Voigt) broadening of spectral lines in high-temperature radiative heat transfer applications is investigated. Employing narrow-band transmissivities as the criterion, the critical total pressure below which, and the critical temperature above which Doppler broadening has a significant effect on the absorption coefficient is established for gaseous H2O and CO2.

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