journal article·2016-10

Numerical analysis of effective thermal conductivity of plastic foams

André Chateau Akué Asséko, Benoît Cosson, Clément Duborper, Marie-France Lacrampe, Patricia Krawczak

Journal of Materials Science· Volume 51· Issue 20
Publisher page

Abstract

This study is dedicated to the development of a numerical finite-element solution to determine the effective thermal conductivity of extruded polymeric foam with different levels of open and closed porosity. The implemented numerical method is derived from periodic homogenization techniques used for the simulation of laser welding of composite materials. For a validation purpose, it was applied to the calculation of the effective thermal conductivity of polyethylene extruded foam for which the input data (density, cell size and distribution, porosity ratio, and extinction coefficient) were characterized experimentally. The computed results were compared with experimental data obtained by the transient plane source technique and analytical results derived from the literature. The deviation from the experimental data is five times lower than that of analytical methods. Moreover, the proposed numerical solution allows reaching higher porosity ratio and makes it possible to reduce the computation time while ensuring the same compactness ratio regardless of the calculation.
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Research context

OpenAlex topics: Composite Material Mechanics · Mechanical Behavior of Composites · Cellular and Composite Structures

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References (29)

Show source-provided references
1. Imakoma H, Sang K, Okazaki M (1990) The effective thermal conductivity of fibrous insulations. Int J Chem Eng 30:738–746. doi: 10.1252/kakoronbunshu.15.4410.1252/kakoronbunshu.15.44 ↗
2. Glicksman LR (1994) Heat transfer in foams. Low Density cellular plastics. Springer, Netherlands, pp 104–152. doi: 10.1007/978-94-011-1256-7_510.1007/978-94-011-1256-7_5 ↗
3. Leach AG (1993) The thermal conductivity of foams. I. Models for heat conduction. J Phys D 26:733–739. doi: 10.1088/0022-3727/26/5/00310.1088/0022-3727/26/5/003 ↗
4. Alvarez-Lainez M, Rodriguez-Perez MA, De Saja JA (2008) Thermal conductivity of open-cell polyolefin foams. J Polym Sci B 46:212. doi: 10.1002/polb.2135810.1002/polb.21358 ↗
5. Campo-Arnaiz RA, Rodriguez-Perez MA, Calvo B, De Saja JA (2005) Extinction coefficient of polyolefin foams. J Polym Sci B 43:1608–1617. doi: 10.1002/polb.2043510.1002/polb.20435 ↗
6. Kuhn J, Ebert HP (1992) Thermal transport in polystyrene and polyurethane foam insulations. Int J Heat Mass Transf 35:1795–1801. doi: 10.1016/0017-9310(92)90150-Q10.1016/0017-9310(92)90150-Q ↗
7. Glicksman LR, Torpey M (1987) Radiation in foam insulation. In: ‘Proceedings of Polyurethane World Congress, Aachen, Germany
8. Glicksman R, Marge A, Moreno JD (1997) Radiation heat transfer in cellular foam insulation. In: ‘Proceedings of the 28th National Heat Transfer Conference and Exhibition, vol 203. ASME-Publications-HTD, New York, pp 45–54
9. Tao W-H, Hsu H-C, Chang C-C, Hsu C-L, Lin Y-S (2001) Measurement and prediction of thermal conductivity of open cell rigid polyurethane foam. J Cell Plast 37:310–332. doi: 10.1106/1x25-nv25-lua2-ghr310.1106/1x25-nv25-lua2-ghr3 ↗
10. Moran W, Ning P (2008) Modeling and prediction of the effective thermal conductivity of random open-cell porous foams. Int J Heat Mass Transf 51:1325–1331. doi: 10.1016/j.ijheatmasstransfer.2007.11.03110.1016/j.ijheatmasstransfer.2007.11.031 ↗
11. Ball GW, Hurd R, Walker MG (1970) Thermal conductivity on rigid urethane foams. J Cell Plast 6:66–78. doi: 10.1177/0021955X700060020210.1177/0021955X7000600202 ↗
12. Öchsner A, Murch GE (eds) (2011) Heat transfer in multi-phase materials, vol 2. Springer, Heidelberg. doi: 10.1007/978-3-642-04403-810.1007/978-3-642-04403-8 ↗
13. Cosson B, Deléglise M, Knapp W (2015) Numerical analysis of thermoplastic composites laser welding using ray tracing method. Composites B 68:85–91. doi: 10.1016/j.compositesb.2014.08.02810.1016/j.compositesb.2014.08.028 ↗
14. Henon J (2012) Elaboration de matériaux poreux géopolymères à porosité multi-échelle et contrôlée, PhD Thesis, Université de Limoges, Limoges
15. Druma AM, Alam MK, Druma C (2004) Analysis of thermal conduction in carbon foams. Int J Therm Sci 43:689–695. doi: 10.1016/j.ijthermalsci.2003.12.00410.1016/j.ijthermalsci.2003.12.004 ↗
16. Kou XY, Tan ST (2010) A simple and effective geometric representation for irregular porous structure modeling. Comput Aided Des 42:930–941. doi: 10.1016/j.cad.2010.06.00610.1016/j.cad.2010.06.006 ↗
17. Coquart R, Baillis D (2009) Numerical investigation of conductive heat transfer in high-porosity foams. Acta Mater 52:5466–5479. doi: 10.1016/j.actamat.2009.07.04410.1016/j.actamat.2009.07.044 ↗
18. She W, Yunsheng Z, Jones R (2014) Three-dimensional numerical modeling and simulation of the thermal properties of foamed concrete. Constr Build Mater 50:421–431. doi: 10.1016/j.conbuildmat.2013.09.02710.1016/j.conbuildmat.2013.09.027 ↗
19. Ogierman W, Kokot G (2013) Mean field homogenization in multiscale modelling of composite materials. J Achiev Mater Manuf Eng 62:343–348
20. Burczynski T, KuĞ W (2009) Microstructure Optimization and identification in multi-scale modelling. In: Eberhardsteiner J, Hellmich C, Mang HA, Périaux J (eds) Eccomas multidisciplinary jubilee symposium 14’, vol 1. Springer, Netherlands, pp 169–18110.1007/978-1-4020-9231-2_12 ↗
21. Kouznetsova VG (2002) Computational homogenization for the multi-scale analysis of multi-phase materials, PhD. Thesis, Technische Universiteit, Eindhoven
22. Sab K, Nedjar B (2005) Periodization of random media and representative volume element size for linear composites. Comptes Rendus Mécanique 333:187–195. doi: 10.1016/j.crme.2004.10.00310.1016/j.crme.2004.10.003 ↗
23. Voronoï G (1908) Nouvelles applications des paramètres continus à la théorie des formes quadratiques Deuxième mémoire, Recherches sur les parallélloèdres primitifs. J für die reine und angewandte Mathematik (Crelle’s Journal) 134:198–287. doi: 10.1515/crll.1908.134.19810.1515/crll.1908.134.198 ↗
24. Delaunay B (1934) Sur la sphère vide. A la mémoire de Georges Voronoï. Bull Acad Sci URSS Cl Sci Math 6:793–800
25. Schuetz MA, Glicksman LR (1984) A basic study of heat transfer through foam insulation. J Cell Plast 20:114–121. doi: 10.1177/0021955X840200020310.1177/0021955X8402000203 ↗
26. Ozisik MN (1982) Heat transfer in foam insulation, M.S. Thesis, Massachusetts Institute of Technology, Cambrigde
27. Fend T, Reutter O, Sauerhering J, Do Couto Aktay KS, Pitz-Paal RS, Angel S (2005) Effective thermal conductivity of metallic foams determined with the transient plane source technique. In: Proceedings of the Seventeenth European Conference on Thermo physical Properties, Bratislava, Slovak Republic
28. Almanza O, Rodrıguez-Perez MA, De Saja JA (2004) Measurement of the thermal diffusivity and specific heat capacity of polyethylene foams using the transient plane source technique. Polym Int 53:2038–2044. doi: 10.1002/pi.162410.1002/pi.1624 ↗
29. Cuevas FG, Montes JM, Cintas J, Urban P (2009) Electrical conductivity and porosity relationship in metal foams. J Porous Mater 16:675. doi: 10.1007/S10934-008-9248-110.1007/S10934-008-9248-1 ↗