El ganaoui, Karima (2006) Homogenization of some radiative heat transfer models: Application to gas cooled reactors cores. PhD thesis CMAP, EP - CMAP Centre de Mathématiques Appliquées, EP/X p.165.
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Abstract
In the context of homogenization theory we treat some heat transfer problems involving unusual (according to the homogenization) boundary conditions. These problems are defined in a solid periodic perforated domain where two scales (macroscopic and microsc!
opic) are to be taken into account and describe heat trans!
fer by c onduction in the solid and by radiation on the wall of each hole. Two kinds of radiation are considered: radiation in an infinite medium (non linear problem) and radiation in cavity with grey-diffuse walls (non linear and non local problem). The derived homogenized models are conduction problems with an effective conductivity which depend on the considered radiation. Thus we introduce a framework (homogenization and validation) based on mathematical justification using the two-scale convergence method and numerical validation by simulations using the computer code CAST3M. This study, performed for gaz cooled reactors cores, can be extended to other perforated domains involving the considered heat transfer phenomena.
| Item Type: | PhD Thesis (PhD) |
|---|---|
| PhD Supervisor: | Allaire, Grégoire |
| Date: | September 2006 |
| Board of examiners: | Ammari, Habib and Donato, Patrizia and Goudon, Thierry and Hamdache, Kamel and Jouve, François |
| Ecole Doctorale: | ED 447 ECOLE DOCTORALE DE L'ECOLE POLYTECHNIQUE |
| Discipline: | CMAP |
| Collection (Fonds): | Ecole Polytechnique (EP/X) |
| Institution: | EP/X |
| Department: | EP - CMAP Centre de Mathématiques Appliquées |
| Subjects: | 1. Mathematics and Applications |
| Uncontrolled Keywords: | Homogenization, Asymptotic analysis, Perforated domains, Heat transfer, Radiation, Two-scale convergence, Periodic, Reactor, Cast3m., Homogénéisation, Analyse asymptotique, Domaines perforés, Conduction, Rayonnement, Convergence à deux échelles, Périodique, Réacteur, Cast3m. |
| ID Code: | 2091 |
| Deposited By: | Laurence Vidament |
| Deposited On: | 17 January 2007 |
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