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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Journal of Porous Media
Импакт фактор: 1.49 5-летний Импакт фактор: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508

Выпуски:
Том 22, 2019 Том 21, 2018 Том 20, 2017 Том 19, 2016 Том 18, 2015 Том 17, 2014 Том 16, 2013 Том 15, 2012 Том 14, 2011 Том 13, 2010 Том 12, 2009 Том 11, 2008 Том 10, 2007 Том 9, 2006 Том 8, 2005 Том 7, 2004 Том 6, 2003 Том 5, 2002 Том 4, 2001 Том 3, 2000 Том 2, 1999 Том 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i5.30
pages 411-426

MICROSCALE DIRECT CALCULATION OF SOLID PHASE CONDUCTIVITY OF VORONOI'S FOAMS

Jaona Harifidy Randrianalisoa
Centre de Thermique de Lyon, Institut National des Sciences Appliqués, Lyon; GRESPI - EA 4694, University of Reims Champagne-Ardenne, F-51687 Reims, France
Remi Coquard
Société "Etude Conseils Calcul Modélisation" (EC2-MODELISATION), 66 Boulevard Niels Bohr, F69603 Villeurbanne, France
Dominique Baillis
LaMCoS, INSA-Lyon, CNRS UMR 5259,18-20 Rue des Sciences, F69621 Villeurbanne, France

Краткое описание

The effects of cell randomness and sample size on thermal conductivity of cellular foams were investigated through the finite-element method (FEM) applied to numerical samples generated by the perturbed Voronoi tessellation method. The three-dimensional aspect of cellular materials, the nature of cells (opened or closed), the distribution of cell volume, and the randomness of the cell shape and location were taken into account. For the model validation, a comparative study with experimental and existing numerical results of open-cell (metallic and ceramic) foams and closed-cell (polymer) foams was carried out. The smallness of the sample size leads to an under- or overprediction, depending on the cell nature, of their thermal conductivities. This size effect comes mainly from the dependence of the sample porosity on its size for a fixed cell wall thickness or strut cross-section area. The size effect becomes negligible when samples, the representative elementary volume (REV), contain tens of cells along each volume side. The cell randomness (in terms of shape and location), captured here through the cell size standard deviation of the Gaussian-normal distribution, leads to a cell volume dispersion, and more particularly, the apparition of small cell volume. These last are characterized by small cell faces and short face edges, which provoke a decrease of the foam thermal conductivities. The cell randomness effects are more important for open-cell structures than for closed-cell structures. The proposed approach predicts perfectly the numerical results of the volume-finite method applied to numerical foams generated from the X-ray computed tomography technique. The suitability of the current approach for predicting thermal conductivity of both open- and closed-cell foams is confirmed by the satisfactory agreement between calculations and measurements in wide temperature and porosity ranges.


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