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Prediction of effective stagnant thermal conductivities of porous materials at high temperature by the generalized self-consistent method
Jiang CP; Chen F L; Yan P; Song F(宋凡)
Source PublicationPhilosophical Magazine
2012
Volume92Issue:16Pages:2032-2047
ISSN1478-6435
Abstract

The generalized self-consistent method is developed to deal with porous materials at high temperature, accounting for thermal radiation. An exact closed form formula of the local effective thermal conductivity is obtained by solving Laplace's equation, and a good approximate formula with uncoupled conductive and radiative effects is given. A comparison with available experimental data and theoretical predictions demonstrates the accuracy and efficiency of the present formula. Numerical examples provide a better understanding of interesting interaction phenomena of pores in heat transfer. It is found that the local effective thermal conductivity divides into two parts. One, attributed to conduction, is independent of pore radius for a fixed porosity and, furthermore, is independent of temperature (actually, it is approximately independent of the temperature) if it is non-dimensionalized by the thermal conductivity of the matrix. The other is due to thermal radiation in pores and strongly depends on the temperature and pore radius. The radiation effect can not be neglected at high temperature and in the case of relatively large pores.

KeywordComposite-materials Fiber Composites Cylinder Model Metal Foams Radiation Media Cell Porous Material Effective Thermal Conductivity Generalized Self-consistent Method Thermal Radiation High Temperature
Subject Area新型材料的力学问题
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000304462800003
DepartmentLNM生物材料微结构和力学性能
Classification一类
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/45752
Collection非线性力学国家重点实验室
Recommended Citation
GB/T 7714
Jiang CP,Chen F L,Yan P,et al. Prediction of effective stagnant thermal conductivities of porous materials at high temperature by the generalized self-consistent method[J]. Philosophical Magazine,2012,92(16):2032-2047.
APA Jiang CP,Chen F L,Yan P,&宋凡.(2012).Prediction of effective stagnant thermal conductivities of porous materials at high temperature by the generalized self-consistent method.Philosophical Magazine,92(16),2032-2047.
MLA Jiang CP,et al."Prediction of effective stagnant thermal conductivities of porous materials at high temperature by the generalized self-consistent method".Philosophical Magazine 92.16(2012):2032-2047.
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