Transient heat conduction problem with radiation boundary condition of statistically inhomogeneous materials by second-order two-scale method
文献类型：期刊论文
| 作者 | Yang, Zhiqiang1; Cui, Junzhi2 ; Sun, Yi1
|
| 刊名 | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
 |
| 出版日期 | 2016-09-01 |
| 卷号 | 100页码:362-377 |
| 关键词 | SSOTS method Radiation boundary condition Heat transfer Inhomogeneous porous materials Random distribution |
| ISSN号 | 0017-9310 |
| DOI | 10.1016/j.ijheatmasstransfer.2016.04.093 |
| 英文摘要 | This paper develops a statistical second-order two-scale (SSOTS) method for predicting transient heat transfer performance of statistically inhomogeneous porous materials. In these materials, the complicated microscopic information of inclusions, including their shape, size, orientation, spatial distribution, volume fraction and so on, leads to changes of the macroscopic thermal properties. Also, heat radiation effect at microscale has an important impact on the macroscopic temperature field. A novel unified homogenization procedure, based on two-scale asymptotic expressions depending on the position variables, has been established. The second-order two-scale formulations for computing the transient heat transfer problem are given successively. Then, the statistical prediction algorithm based on the proposed two-scale model is described in details. Finally, numerical examples for porous materials with varying probability distribution models are calculated by the algorithm given, and compared with the data by the theoretical results. The comparison shows that the statistical two-scale computational method developed is useful for determination of the heat transfer properties of porous materials and demonstrates its potential applications in actual engineering computation. (C) 2016 Elsevier Ltd. All rights reserved. |
| 资助项目 | Special Funds for National Basic Research Program of China (973 Program)[2010CB832702] ; National Natural Science Foundation of China[90916027] ; China Postdoctoral Science Foundation[2015M580256] |
| WOS研究方向 | Thermodynamics ; Engineering ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000378361700036 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22931]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Yang, Zhiqiang |
| 作者单位 | 1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Zhiqiang,Cui, Junzhi,Sun, Yi. Transient heat conduction problem with radiation boundary condition of statistically inhomogeneous materials by second-order two-scale method[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,2016,100:362-377. |
| APA | Yang, Zhiqiang,Cui, Junzhi,&Sun, Yi.(2016).Transient heat conduction problem with radiation boundary condition of statistically inhomogeneous materials by second-order two-scale method.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,100,362-377. |
| MLA | Yang, Zhiqiang,et al."Transient heat conduction problem with radiation boundary condition of statistically inhomogeneous materials by second-order two-scale method".INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 100(2016):362-377. |
入库方式： OAI收割
来源：数学与系统科学研究院
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