scholarly journals Numerical Calculation of Radiative Heat Transfer in Two-dimensional Rectangular Zone

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.

Author(s):  
Herve´ T. Kamdem Tagne ◽  
Dominique Doermann Baillis

The applicability of the isotropic scaling approximation to heat transfer analysis in fibrous medium is discussed. The isotropic scaling model allows the transformation of an anisotropic scattering problem to an isotropic one. The scaled parameters are derived for general anisotropic scattering and for radiative properties dependent of the incidence direction such as for fibrous medium. The fibers are randomly oriented either in space or parallel to the boundaries of the medium. The radiative transfer equation is solved with the discrete ordinate method and comparisons between the exact and the isotropic scaling problems for several Gauss quadrature are studied.


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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