Skip to Main content Skip to Navigation
Theses

Homogénéisation de modèles de transferts thermiques et radiatifs : Application au coeur des réacteurs à caloporteur gaz.

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.
Document type :
Theses
Complete list of metadatas

Cited literature [87 references]  Display  Hide  Download

https://pastel.archives-ouvertes.fr/pastel-00002091
Contributor : Ecole Polytechnique <>
Submitted on : Wednesday, July 28, 2010 - 4:54:27 PM
Last modification on : Wednesday, March 27, 2019 - 4:08:30 PM
Long-term archiving on: : Friday, October 29, 2010 - 10:01:58 AM

Identifiers

  • HAL Id : pastel-00002091, version 1

Collections

Citation

Karima El Ganaoui. Homogénéisation de modèles de transferts thermiques et radiatifs : Application au coeur des réacteurs à caloporteur gaz.. Systèmes dynamiques [math.DS]. Ecole Polytechnique X, 2006. Français. ⟨pastel-00002091⟩

Share

Metrics

Record views

1191

Files downloads

3578