Comments over homogenisation scales for interfacial emission and scattering by a divided medium: Beerian and non Beerian behaviours

Yann Dauvois 1 Marie Zarrouati 1 Denis Rochais 2 Franck Enguehard 1 Jean Taine 1
1 EM2C - Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion
2 CEA Le Ripault - CEA Le Ripault
Abstract : In statistical methods of characterisation of porous media radiative properties, inter-facial extinction cumulative distribution functions, scattering or absorption cumulative probabilities and general phase functions are generally determined from shots issued from random volume points instead of random interfacial points. Indeed, the first method is numerically much simpler and accurate than the second one. The validity of this approach is discussed and its limitations enhanced for both Beerian and non Beerian homogenised phases, and in the case of a diffuse reflection law or a general one. The explanation of the identity or difference between the results of the two previous types of extinction cumulative distribution functions comes from the comparison between the spatial scale at which these functions are determined and the own scales of the divided medium. The conditions for which a medium follows the Beer's law are then defined in terms of spatial scales. Moreover, the modeling of interfacial emission for a non Beerian homogenised phase is in principle based on the reciprocity theorem and an integral formulation of the Generalised Radiative Transfer Equation. The validity of a simpler approach based on an effective absorption coefficient is also discussed, from the previous analysis. The validity of results of recent works published in IJHMT are finally discussed.
Type de document :
Article dans une revue
International Journal of Heat and Mass Transfer, Elsevier, 2016, 103, pp.468 - 477. 〈10.1016/j.ijheatmasstransfer.2016.07.054〉
Liste complète des métadonnées

Littérature citée [14 références]  Voir  Masquer  Télécharger
https://hal-centralesupelec.archives-ouvertes.fr/hal-01513607
Contributeur : Franck Enguehard <>
Soumis le : mardi 25 avril 2017 - 12:11:08
Dernière modification le : lundi 15 octobre 2018 - 16:00:03
Document(s) archivé(s) le : mercredi 26 juillet 2017 - 13:38:28

Fichier

Article Dauvois et al IJHMT 20...
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

CENTRALESUPELEC | EM2C | CEA | UNIV-PARIS-SACLAY | EM2C-TRANSFERTS | CEA-UPSAY | DAM

Citation

Yann Dauvois, Marie Zarrouati, Denis Rochais, Franck Enguehard, Jean Taine. Comments over homogenisation scales for interfacial emission and scattering by a divided medium: Beerian and non Beerian behaviours. International Journal of Heat and Mass Transfer, Elsevier, 2016, 103, pp.468 - 477. 〈10.1016/j.ijheatmasstransfer.2016.07.054〉. 〈hal-01513607〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

110

Téléchargements de fichiers

73

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD