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- Title:
Solvability of P-1 approximation of a conductive-radiative heat transfer problem
- Document type:
- Article
- Author(s):
- Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz
- Abstract:
- Conductive-radiative heat transfer in a scattering and absorbing medium bounded by two reflecting and radiating plane surfaces is examined. P-1 approximation (diffusion model) is used for the simplification of the original problem. The existence and uniqueness of solutions of the diffusion model are proved. The convergence of an iterative procedure for finding solutions is proved. Numerical examples are discussed. (C) 2014 Elsevier Inc. All rights reserved.
- Keywords:
- Radiative heat transfer; Conductive heat transfer; Diffusion approximation
- Journal title:
- Appl. Math. Comput.
- Year:
- 2014
- Journal volume:
- 249
- Month:
- DEC 15
- Pages contribution:
- 247-252
- Language:
- English
- Fulltext / DOI:
- doi:10.1016/j.amc.2014.10.054
- Publisher:
- ELSEVIER SCIENCE INC
- Print-ISSN:
- 0096-3003
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