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Transient heat conduction problem with radiation boundary condition of statistically inhomogeneous materials by second-order two-scale method
Yang, Zhiqiang1; Cui, Junzhi2; Sun, Yi1
2016-09-01
Source PublicationINTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
ISSN0017-9310
Volume100Pages:362-377
AbstractThis 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.
KeywordSSOTS method Radiation boundary condition Heat transfer Inhomogeneous porous materials Random distribution
DOI10.1016/j.ijheatmasstransfer.2016.04.093
Language英语
Funding ProjectSpecial Funds for National Basic Research Program of China (973 Program)[2010CB832702] ; National Natural Science Foundation of China[90916027] ; China Postdoctoral Science Foundation[2015M580256]
WOS Research AreaThermodynamics ; Engineering ; Mechanics
WOS SubjectThermodynamics ; Engineering, Mechanical ; Mechanics
WOS IDWOS:000378361700036
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22932
Collection计算数学与科学工程计算研究所
Corresponding AuthorYang, Zhiqiang
Affiliation1.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
Recommended Citation
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.
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