Abstract This paper discusses a statistical second-order two-scale (SSOTS) analysis and computation for a heat conduction problem with a radiation boundary condition in random porous materials. Firstly, the microscopic configuration for the structure with random distribution is briefly characterized. Secondly, the SSOTS formulae for computing the heat transfer problem are derived successively by means of the construction way for each cell. Then, the statistical prediction algorithm based on the proposed two-scale model is described in detail. Finally, some numerical experiments are proposed, which show that the SSOTS method developed in this paper is effective for predicting the heat transfer performance of porous materials and demonstrating its significant applications in actual engineering computation.

Fund: Project supported by the China Postdoctoral Science Foundation (Grant Nos. 2015M580256 and 2016T90276).

Corresponding Authors:
Zhi-Qiang Yang
E-mail: yangzhiqiang@hit.edu.cn

Cite this article:

Zhi-Qiang Yang(杨志强), Shi-Wei Liu(刘世伟), Yi Sun(孙毅) Statistical second-order two-scale analysis and computation for heat conduction problem with radiation boundary condition in porous materials 2016 Chin. Phys. B 25 090202

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