A simple closed-form solution for evaluation of radiative heat transfer from a rectangular fin array

1997 ◽  
Vol 20 (2) ◽  
pp. 225-229 ◽  
Author(s):  
B.M. Abramzon
Keyword(s):  
Heat Transfer ◽  
Closed Form ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Closed Form Solution ◽  
Form Solution

Natural Convection in a Vertical Annulus Containing Water Near the Density Maximum

1987 ◽  
Vol 109 (4) ◽  
pp. 899-905 ◽  
Author(s):  
D. S. Lin ◽  
M. W. Nansteel
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Aspect Ratio ◽  
Density Distribution ◽  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
Vertical Flow ◽  
Density Maximum ◽  
Vertical Annulus

Steady natural convection of water near the density extremum in a vertical annulus is studied numerically. Results for flow in annuli with aspect ratio 1≤A≤8 and varying degrees of curvature are given for 103≤Ra≤105. It is shown that both the density distribution parameter R and the annulus curvature K have a strong effect on the steady flow structure and heat transfer in the annulus. A closed-form solution for the vertical flow in a very tall annulus is compared with numerical results for finite-aspect-ratio annuli.

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.

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