Heat conduction and thermal conductivity of 3D cracked media

Abstract : This study deals with the heat conduction within a medium containing cracks that are assumed to be perfect insulators. Multi-region boundary element approach is employed to obtain a boundary singular integral equation governing the steady state thermal transfer within this medium. This equation presents the temperature field within the whole cracked body as a function of temperature and rate of heat flow on the domain's boundary and temperature discontinuity across the cracks. For the particular case of an infinite domain under far-field condition, the temperature field solution is only a function of the cracks tem-perature's discontinuity. The basic problem of a single crack in an infinite domain is investigated and a closed-form solution is derived for a crack of elliptic plane from this analysis. This solution is the key issue to estimate the effective thermal conductivity of the whole domain by coupling with the classical homogenization schemes. The arbitrary crack form is covered up by using the excluded volume definition. Estimations of effective thermal conductivities stemming from diluted, differential and self-consistent approaches are compared to numerical solution obtained by the finite volume modeling that is available in literature. This comparison shows that the self-consistent scheme is the most appropriate model to estimate the thermal conductivity of materials containing cracks.
Type de document :
Article dans une revue
International Journal of Heat and Mass Transfer, Elsevier, 2015, 89, pp.1119-1126. 〈10.1016/j.ijheatmasstransfer.2015.05.113〉
Liste complète des métadonnées

Littérature citée [45 références]  Voir  Masquer  Télécharger

https://hal-enpc.archives-ouvertes.fr/hal-01271134
Contributeur : Anh Minh Tang <>
Soumis le : jeudi 26 avril 2018 - 09:30:25
Dernière modification le : vendredi 27 avril 2018 - 01:16:04
Document(s) archivé(s) le : mardi 25 septembre 2018 - 04:15:05

Fichiers

Vu et al 2015.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

M.N. Vu, S.T. Nguyen, M.H. Vu, Anh Minh Tang, V.T. To. Heat conduction and thermal conductivity of 3D cracked media. International Journal of Heat and Mass Transfer, Elsevier, 2015, 89, pp.1119-1126. 〈10.1016/j.ijheatmasstransfer.2015.05.113〉. 〈hal-01271134〉

Partager

Métriques

Consultations de la notice

212

Téléchargements de fichiers

30