Application of the Gauss–Seidel Iteration Process in the Diagonal Element Isolation Method for Thermal Radiation Transfer Problems

Atomic Energy ◽  
2014 ◽  
Vol 117 (3) ◽  
pp. 156-160
Author(s):  
V. V. Zav’yalov
Keyword(s):  
Thermal Radiation ◽  
Radiation Transfer ◽  
Iteration Process ◽  
Diagonal Element ◽  
Isolation Method ◽  
Transfer Problems

scholarly journals Invariant Imbedding and the Radiation Transfer in a Plane-Parallel Inhomogeneous Atmosphere

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Arthur G. Nikoghossian
Keyword(s):  
High Speed ◽  
Radiation Transfer ◽  
Energy Sources ◽  
Invariant Imbedding ◽  
Distributed Energy ◽  
Initial Value ◽  
Radiation Diffusion ◽  
Inhomogeneous Atmosphere ◽  
Plane Parallel ◽  
Transfer Problems

The invariant imbedding technique is applied to the problems of radiation transfer in a plane-parallel inhomogeneous atmosphere. All the parameters which describe the elementary event of scattering and the distribution of the energy sources are allowed to vary with depth. Mathematically, the considered standard problems of the theory are reduced to initial-value problems which are better adapted to capabilities of the modern high speed computers. The reflectance of an atmosphere is shown to play a prominent role in describing the diffusion process since all the other characteristics of the radiation field are expressed through it. Three transfer problems frequently encountered in astrophysical applications are discussed: the radiation diffusion in the source-free medium, in a medium with arbitrarily distributed energy sources, as well as the problem of finding the statistical mean quantities, characteristics of the multiple scattering in the atmosphere.

Heat Transfer by Simultaneous Conduction and Radiation in an Absorbing Medium

1962 ◽  
Vol 84 (1) ◽  
pp. 63-72 ◽  
Author(s):  
R. Viskanta ◽  
R. J. Grosh
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Radiant Heat ◽  
Radiant Heat Transfer ◽  
Dimensional System ◽  
Parallel Plates ◽  
Approximate Methods ◽  
One Dimensional ◽  
Finite Distance ◽  
Transfer Problems

Heat transfer by simultaneous conduction and radiation in a thermal radiation absorbing and emitting medium is considered. Consideration is given to a one-dimensional system consisting of two, diffuse, nonblack, infinite, isothermal, parallel plates separated by a finite distance. The space between the plates is filled with a thermal radiation absorbing and emitting medium. The problem is formulated in terms of a nonlinear integro-differential equation and the solution is obtained by reducing it to a nonlinear integral equation. The numerical results are obtained by an iterative method. The temperature distributions and heat transfer are calculated. Two approximate methods for formulating radiant heat-transfer problems are presented and comparisons of the results are made with the most exact solution.

Light scattering matrix for quasi-horizontally oriented atmospheric ice crystals for radiation transfer problems

2020 ◽  
Author(s):  
Alexander V. Konoshonkin ◽  
Tatiana B. Zhuravleva ◽  
Anatoli G. Borovoi ◽  
Natalia V. Kustova ◽  
Ilmir M. Nasrtdinov ◽  
...  
Keyword(s):  
Light Scattering ◽  
Radiation Transfer ◽  
Scattering Matrix ◽  
Ice Crystals ◽  
Transfer Problems

The P-1 model for thermal radiation transfer: advantages and limitations

Fuel ◽  
1996 ◽  
Vol 75 (3) ◽  
pp. 289-294 ◽  
Author(s):  
S.S. Sazhin ◽  
E.M. Sazhina ◽  
O. Faltsi-Saravelou ◽  
P. Wild
Keyword(s):  
Thermal Radiation ◽  
Radiation Transfer
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