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Study of Various Approximations Used in Modeling Radiative Heat Transfer Problems

Authors
  • Shestakov, A. A.1
  • 1 Russian Federal Nuclear Center–Zababakhin All-Russian Research Institute of Technical Physics, Snezhinsk, Russia , Snezhinsk (Russia)
Type
Published Article
Journal
Mathematical Models and Computer Simulations
Publisher
Pleiades Publishing
Publication Date
Mar 01, 2021
Volume
13
Issue
2
Pages
231–243
Identifiers
DOI: 10.1134/S2070048221020137
Source
Springer Nature
Keywords
License
Yellow

Abstract

Abstract—The aim of this work is to study and compare various approximations for the system of radiative heat transfer equations (TEs) in optically dense and transparent media. For this purpose, in optically dense media, asymptotic analysis is used; and in optically transparent media, an approach that allows reducing the solution of diffusion equations to solve a kinetic equation. The performed studies enable us to conclude that in optically dense media the solutions in the considered approximations tend to the solution of the kinetic equation with increasing optical thickness. This follows from the asymptotic analysis. In optically transparent media, coincidence with the solution of the kinetic equation is only possible in the quasi-transfer and quasi-diffusion approximations.

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