Solutions of Radiative Heat Transfer in Three-Dimensional Inhomogeneous, Scattering Media

2002 ◽  
Vol 124 (5) ◽  
pp. 985-988 ◽  
Author(s):  
L. M. Ruan ◽  
H. P. Tan
Keyword(s):  
Heat Transfer ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Averaging Method ◽  
Three Dimensional ◽  
Unit Cube ◽  
Radiative Properties ◽  
Random Numbers ◽  
Scattering Media ◽  
Mc Simulation

In the present study, we use the Monte-Carlo (MC) method to simulate radiative heat transfer in three-dimensional inhomogeneous scattering unit cube with black or gray walls. The results show that the averaging method of non-uniform radiative properties in each medium element has influence on the results. One reasonable averaging method has been employed in our model. In mean while, several characters of exchange factor have been employed to estimate the performance of pseudo-random numbers generator and the numerical uncertainty of MC simulation.

A Conservative Formulation of the Discrete Transfer Method

1997 ◽  
Vol 119 (1) ◽  
pp. 118-128 ◽  
Author(s):  
P. J. Coelho ◽  
M. G. Carvalho
Keyword(s):  
Heat Transfer ◽  
Energy Conservation ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Three Dimensional ◽  
Isotropic Scattering ◽  
Two Dimensional ◽  
Scattering Media ◽  
Combustion Chambers ◽  
Transfer Method

The discrete transfer method, often employed to calculate radiative heat transfer in combustion chambers, is not conservative. The reason for this behavior is examined and a conservative formulation is proposed and evaluated. A simple treatment of isotropic scattering media is also presented. The original and the conservative formulation of the method are applied to two-dimensional and three-dimensional enclosures containing a participating medium. It is shown that the accuracy of the original and the conservative formulation is very similar, but the proposed formulation has the advantage of ensuring energy conservation.

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