Statistical second-order two-scale analysis and computation for heat conduction problem with radiation boundary condition in porous materials

doi:10.1088/1674-1056/25/9/090202

中国物理B ›› 2016, Vol. 25 ›› Issue (9): 90202-090202.doi: 10.1088/1674-1056/25/9/090202

Statistical second-order two-scale analysis and computation for heat conduction problem with radiation boundary condition in porous materials

Zhi-Qiang Yang(杨志强), Shi-Wei Liu(刘世伟), Yi Sun(孙毅)

Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin 150001, China

收稿日期:2016-02-21 修回日期:2016-05-15 出版日期:2016-09-05 发布日期:2016-09-05
通讯作者: Zhi-Qiang Yang E-mail:yangzhiqiang@hit.edu.cn
基金资助:
Project supported by the China Postdoctoral Science Foundation (Grant Nos. 2015M580256 and 2016T90276).

Statistical second-order two-scale analysis and computation for heat conduction problem with radiation boundary condition in porous materials

Zhi-Qiang Yang(杨志强), Shi-Wei Liu(刘世伟), Yi Sun(孙毅)

Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin 150001, China

Received:2016-02-21 Revised:2016-05-15 Online:2016-09-05 Published:2016-09-05
Contact: Zhi-Qiang Yang E-mail:yangzhiqiang@hit.edu.cn
Supported by:
Project supported by the China Postdoctoral Science Foundation (Grant Nos. 2015M580256 and 2016T90276).

摘要/Abstract

摘要： 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.

关键词: statistical second-order two-scale method, radiation boundary condition, random porous materials

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.

Key words: statistical second-order two-scale method, radiation boundary condition, random porous materials

中图分类号: (Partial differential equations)

02.30.Jr

44.40.+a (Thermal radiation) 02.60.-x (Numerical approximation and analysis) 02.60.Cb (Numerical simulation; solution of equations)

杨志强, 刘世伟, 孙毅. Statistical second-order two-scale analysis and computation for heat conduction problem with radiation boundary condition in porous materials[J]. 中国物理B, 2016, 25(9): 90202-090202.

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[J]. Chin. Phys. B, 2016, 25(9): 90202-090202.

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Statistical second-order two-scale analysis and computation for heat conduction problem with radiation boundary condition in porous materials

Statistical second-order two-scale analysis and computation for heat conduction problem with radiation boundary condition in porous materials

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