CSpace  > 计算数学与科学工程计算研究所
A three-scale homogenization algorithm for coupled conduction-radiation problems in porous materials with multiple configurations
Yang, Zhiqiang1; Sun, Yi1; Cui, Junzhi2; Yang, Zihao1,3; Guan, Tianyu1
2018-10-01
Source PublicationINTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
ISSN0017-9310
Volume125Pages:1196-1211
AbstractThis work establishes a novel three-scale homogenization algorithm to predict heat transfer performance of porous materials with multiple periodic configurations. The heterogeneities of porous structures are considered by periodic distributions of unit cells on the microscale and mesoscale. A new micro-meso-macro formula based on homogenization methods and multiscale asymptotic expansions is given at first. Two types of unit cell solutions in microscale and mesoscale are obtained by solving the distinct multi scale cell functions. Also, two kinds of homogenization coefficients are calculated by up-scaling procedure, and the homogenization equations are defined on global structure. Further, the temperature and heat flux fields are established as three-scale approximate solutions by assembling the various local cell solutions and homogenization solutions. Then, the associated finite element algorithm based on the three-scale homogenization methods is proposed in detail. Finally, some numerical examples are reported to validate the methods. They illustrate that the three-scale homogenization methods presented in this work are effective and accurate for calculating the heat transfer performance of the porous materials with multiple configurations. (C) 2018 Elsevier Ltd. All rights reserved.
KeywordThree-scale homogenization algorithms Conduction-radiation problems Micro-meso-macro formulations Porous materials
DOI10.1016/j.ijheatmasstransfer.2018.05.024
Language英语
Funding ProjectFundamental Research Funds for the Central Universities ; National Natural Science Foundation of China[11701123]
WOS Research AreaThermodynamics ; Engineering ; Mechanics
WOS SubjectThermodynamics ; Engineering, Mechanical ; Mechanics
WOS IDWOS:000440118600103
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30807
Collection计算数学与科学工程计算研究所
Affiliation1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China
2.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China
Recommended Citation
GB/T 7714
Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,et al. A three-scale homogenization algorithm for coupled conduction-radiation problems in porous materials with multiple configurations[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,2018,125:1196-1211.
APA Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,Yang, Zihao,&Guan, Tianyu.(2018).A three-scale homogenization algorithm for coupled conduction-radiation problems in porous materials with multiple configurations.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,125,1196-1211.
MLA Yang, Zhiqiang,et al."A three-scale homogenization algorithm for coupled conduction-radiation problems in porous materials with multiple configurations".INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 125(2018):1196-1211.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Yang, Zhiqiang]'s Articles
[Sun, Yi]'s Articles
[Cui, Junzhi]'s Articles
Baidu academic
Similar articles in Baidu academic
[Yang, Zhiqiang]'s Articles
[Sun, Yi]'s Articles
[Cui, Junzhi]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Yang, Zhiqiang]'s Articles
[Sun, Yi]'s Articles
[Cui, Junzhi]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.