Properties of Absorbing and Emitting Media

2015 ◽  
pp. 475-524
Keyword(s):  
1983 ◽  
Vol 105 (2) ◽  
pp. 333-340 ◽  
Author(s):  
A. C. Ratzel ◽  
J. R. Howell

Radiative energy transfer in a gray absorbing and emitting medium is considered in a two-dimensional rectangular enclosure using the P-N differential approximation. The two-dimensional moment of intensity partial differential equations (PDE’s) are combined to yield a single second-order PDE for the P-1 approximation and four coupled second-order PDE’s for the P-3 approximation. P-1 approximation results are obtained from separation of variables solutions, and P-3 results are obtained numerically using successive-over-relaxation methods. The P-N approximation results are compared with numerical Hottel zone results and with results from an approximation method developed by Modest. The studies show that the P-3 approximation can be used to predict emissive power distributions and heat transfer rates in two-dimensional media with opacities of unity or greater. The P-1 approximation is identical to the diffusion solution and is thus applicable only if the medium is optically dense.


2011 ◽  
Vol 109 (1) ◽  
pp. 013112
Author(s):  
P. Starvaggi ◽  
M. Hoffman ◽  
C. B. Clemons ◽  
G. W. Young

2000 ◽  
Vol 317 (4) ◽  
pp. 922-936 ◽  
Author(s):  
T. G. Robinson ◽  
C. N. Tadhunter ◽  
D. J. Axon ◽  
A. Robinson

1979 ◽  
Vol 101 (1) ◽  
pp. 85-89 ◽  
Author(s):  
D. A. Nelson

An asymptotically exact approximate method of analysis for band radiation has been applied to some simple enclosures. The principal feature of the method is direct utilization of band absorption formulations for absorbing-emitting media. The procedure is shown to be capable of arbitrarily high accuracy and to have very acceptable errors for low order approximations.


2009 ◽  
Vol 132 (2) ◽  
Author(s):  
Xiaojing Sun ◽  
Philip J. Smith

A combined method of reverse Monte-Carlo ray-tracing with full-spectrum k-distribution (FSK) for computing the radiative heat transfer is applied to an extreme nonhomogeneous case (both temperature and gas mixture composition vary with positions) with an absorbing, emitting media. The parameter studies of the scaled FSK (FSSK) and correlated FSK (FSCK) methods for the case, such as g point resolution, mesh resolution, reference states, and integration quadratures, are carried out. The results from the FSSK and FSCK are only affected by the chosen reference states and are not sensitive to other parameters.


2001 ◽  
Author(s):  
Zhixiong Guo ◽  
Sunil Kumar ◽  
Shigenao Maruyama

Abstract In this study transient radiative heat transfer is investigated in scattering, absorbing, and emitting media. The radiation element method is formulated for the first time to solve the transient radiative transfer equation in 3-D geometries. The sensitivity and accuracy of the method are examined. A good agreement of temporal transmittance predicted by the present method and Monte Carlo method is found. The characteristics of transient analysis are investigated via various problems of radiative transfer in inhomogeneous cubes. It is found that the transmitted signals are strongly affected by the inhomogeneous properties of the media through which the radiation has passed. In the position where the radiation travels a larger optical thickness, the broadening of the transmitted pulse width is more obvious and the magnitude of the transmittance is smaller.


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