scholarly journals Exact formulas for radiative heat transfer between planar bodies under arbitrary temperature profiles: Modified asymptotics and sign-flip transitions

2016 ◽  
Vol 94 (20) ◽  
Author(s):  
Riccardo Messina ◽  
Weiliang Jin ◽  
Alejandro W. Rodriguez
1967 ◽  
Vol 89 (3) ◽  
pp. 197-203 ◽  
Author(s):  
H. M. Hsia ◽  
T. J. Love

The problem of radiative heat transfer in a nonisothermal medium is considered. The analysis is carried out for a plane parallel atmosphere separated by a cloud of particles which scatters radiant energy in an anisotropic fashion. Linear and isothermal temperature profiles are compared for enclosures with partially reflecting diffuse boundaries. The solutions are obtained by representing the integral term of the radiative transport equation by a quadrature. The resulting set of nonhomogeneous differential equations are solved utilizing the method of idempotents.


2003 ◽  
Vol 2 (2) ◽  
Author(s):  
J. A. Rabi ◽  
M. L. De Souza-Santos

As shown in the first part of this paper, equations and considerations for a preliminary attempt to improve the treatment for radiative heat transfer of a previous comprehensive simulation program were presented. For that, the two-flux radiative heat transfer model was applied. In this second part, the new version of that program was tested against steady-state operations of real equipment. Numerical simulations were carried for two different fluidized-bed reactors: a coal-fed boiler and a wood-fed gasifier. Computational results obtained with that new version were compared with those obtained with the previous simulator version. Then, both sets of results were also compared with real operational data. Special attention was paid to the temperature profiles of each particle species present in the bed section – carbonaceous, limestone and inert – as well as to the radiative heat transfer rates between these solids. Effects on the temperature profiles of the gas phases – emulsion and bubbles – and on the equipment performance parameters were also investigated. Improvements related to the incorporation of two-flux model are assessed and discussed. New developments and extensions of this approach are indicated.


2005 ◽  
Vol 36 (6) ◽  
pp. 475-480 ◽  
Author(s):  
A. V. Stepanov ◽  
N. I. Sulzhik ◽  
V. N. Nikolaenko

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