Application of multidimensional scheme and the discrete ordinate method to radiative heat transfer in a two-dimensional enclosure with diffusely emitting and reflecting boundary walls

Author(s):  
K ISMAIL
2019 ◽  
Vol 5 (5) ◽  
pp. 13-18
Author(s):  
A. Abdullin

The accuracy of the P1-approximation of the spherical harmonic’s method and the S2-approximation of the discrete ordinate method for calculating heat transfer by radiation are analyzed. The cases of an isotropically scattering homogeneous medium and a homogeneous absorbing medium are considered. The calculation results are compared with the exact solution, the P3-approximation and the zonal method. It is shown that the accuracy of the S2-approximation is higher compared to the P1-approximation at small and intermediate values of the optical thickness of the medium.


AIChE Journal ◽  
2011 ◽  
Vol 58 (8) ◽  
pp. 2545-2556 ◽  
Author(s):  
Cyril Caliot ◽  
Gilles Flamant ◽  
Giorgos Patrianakos ◽  
Margaritis Kostoglou ◽  
Athanasios G. Konstandopoulos

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