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

[+] Author and Article Information
J. D. Felske

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass.

C. L. Tien

University of California, Berkeley, Calif.

J. Heat Transfer 99(3), 458-465 (Aug 01, 1977) (8 pages) doi:10.1115/1.3450718 History: Received September 07, 1976; Online August 11, 2010


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.

Copyright © 1977 by ASME
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