[Propriétés thermiques conductives et radiatives des mousses solides : Approches de modélisation traditionnelles et avancées]
Cet article présente une vue globale des modèles traditionnels et récents de prédiction des propriétés thermiques et radiatives des mousses solides ayant des cellules ouvertes ou fermées. Leur conductivité thermique effective est déterminée par des modèles empiriques ou analytiques basés sur le réseau de résistances. Les propriétés radiatives nécessaires pour remonter à la conductivité radiative sont déterminées par des modèles analytiques basés sur la théorie de diffusion indépendante. Les approches robustes couplent la modélisation tridimensionnelle (3D) de mousses (par exemple, par la tomographie à rayons X, la mosaïque de Voronoï, etc.) et la résolution numérique des équations de transport. La conductivité thermique due à la phase solide est directement calculée par la méthode des éléments finis (EF), avec un coût de calcul raisonnable. La conductivité thermique effective, quant à elle, peut être déterminée à partir des calculs EF combinés avec la conductivité thermique due à la phase fluide. Cette dernière peut être évaluée de façon précise par des formules simples dans le cas de l'air ou d'un gaz faiblement conducteur thermique. Cependant, la méthode des volumes finis apparaît la mieux appropriée pour résoudre le problème thermique, à la fois dans la phase solide et la phase fluide. La méthode de Monte Carlo et de tracé de rayons constitue une approche solide pour calculer les propriétés radiatives. Enfin, la reconstruction d'image 3D des mousses est essentielle pour déterminer les informations topologiques nécessaires pour alimenter les modèles analytiques de conductivité thermique et de propriétés radiatives.
The current paper presents an overview of traditional and recent models for predicting the thermal properties of solid foams with open- and closed-cells. Their effective thermal conductivity has been determined analytically by empirical or thermal-resistance-network-based models. Radiative properties crucial to obtain the radiative conductivity have been determined analytically by models based on the independent scattering theory. Powerful models combine three-dimensional (3D) foam modelling (by X-ray tomography, Voronoi tessellation method, etc.) and numerical solution of transport equations. The finite-element method (FEM) has been used to compute thermal conductivity due to solid network for which the computation cost remains reasonable. The effective conductivity can be determined from FEM results combined with the conductivity due to the fluid, which can be accurately evaluated by a simple formula for air or weakly conducting gas. The finite volume method seems well appropriate for solving the thermal problem in both the solid and fluid phases. The ray-tracing Monte Carlo method constitutes the powerful model for radiative properties. Finally, 3D image analysis of foams is useful to determine topological information needed to feed analytical thermal and radiative properties models.
Mot clés : Mousses métalliques, Mousses céramiques, Mousses polymères, Matériaux cellulaires, Mosaïque de Voronoï, Mosaïque de Voronoï–Laguerre
@article{CRPHYS_2014__15_8-9_683_0,
author = {Jaona Randrianalisoa and Dominique Baillis},
title = {Thermal conductive and radiative properties of solid foams: {Traditional} and recent advanced modelling approaches},
journal = {Comptes Rendus. Physique},
pages = {683--695},
publisher = {Elsevier},
volume = {15},
number = {8-9},
year = {2014},
doi = {10.1016/j.crhy.2014.09.002},
language = {en},
}
TY - JOUR AU - Jaona Randrianalisoa AU - Dominique Baillis TI - Thermal conductive and radiative properties of solid foams: Traditional and recent advanced modelling approaches JO - Comptes Rendus. Physique PY - 2014 SP - 683 EP - 695 VL - 15 IS - 8-9 PB - Elsevier DO - 10.1016/j.crhy.2014.09.002 LA - en ID - CRPHYS_2014__15_8-9_683_0 ER -
%0 Journal Article %A Jaona Randrianalisoa %A Dominique Baillis %T Thermal conductive and radiative properties of solid foams: Traditional and recent advanced modelling approaches %J Comptes Rendus. Physique %D 2014 %P 683-695 %V 15 %N 8-9 %I Elsevier %R 10.1016/j.crhy.2014.09.002 %G en %F CRPHYS_2014__15_8-9_683_0
Jaona Randrianalisoa; Dominique Baillis. Thermal conductive and radiative properties of solid foams: Traditional and recent advanced modelling approaches. Comptes Rendus. Physique, Volume 15 (2014) no. 8-9, pp. 683-695. doi : 10.1016/j.crhy.2014.09.002. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2014.09.002/
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