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Multi‐Scale Analysis Method for Thermal Conductivity of Porous Material with Radiation

Shutian Liu (State Key Laboratory of Structural Analysis for Industrial Equipment, Dept. of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China)
Yongcun Zhang (State Key Laboratory of Structural Analysis for Industrial Equipment, Dept. of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 1 March 2006

366

Abstract

In this paper, a homogenization‐based multi‐scale method for predicting the effective thermal conductivity of porous materials with radiation is presented, which considers the effect of geometry and distribution of pores. Using homogenization method to solve the pure conductive problem of porous materials with periodic structure, the effective thermal conductivity without considering radiation is predicted, and a temperature field in a local domain of a unit cell is obtained. This temperature field is taken as the good approximation of the real temperature distribution, and the radiative thermal conductivity is obtained. The effect of the microstructure, the distribution and geometry of pores on heat transfer of porous materials is discussed. It is concluded that the dimension of the pores is an important influence factor on the thermal transfer property of porous materials if radiation is considered. Increasing the pore’s dimension enhances the contribution of radiation to the heat transfer property of porous materials. For porous materials with cylindrical and spherical pores, the radiative thermal conductivity is proportional to pore’s diameter.

Keywords

Citation

Liu, S. and Zhang, Y. (2006), "Multi‐Scale Analysis Method for Thermal Conductivity of Porous Material with Radiation", Multidiscipline Modeling in Materials and Structures, Vol. 2 No. 3, pp. 327-344. https://doi.org/10.1163/157361106777641332

Publisher

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Emerald Group Publishing Limited

Copyright © 2006, Emerald Group Publishing Limited

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