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 Publication INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER ISSN 0017-9310 Volume 125Pages:1196-1211 Abstract This 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. Keyword Three-scale homogenization algorithms Conduction-radiation problems Micro-meso-macro formulations Porous materials DOI 10.1016/j.ijheatmasstransfer.2018.05.024 Language 英语 Funding Project Fundamental Research Funds for the Central Universities ; National Natural Science Foundation of China[11701123] WOS Research Area Thermodynamics ; Engineering ; Mechanics WOS Subject Thermodynamics ; Engineering, Mechanical ; Mechanics WOS ID WOS:000440118600103 Publisher PERGAMON-ELSEVIER SCIENCE LTD Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/30807 Collection 计算数学与科学工程计算研究所 Corresponding Author Yang, Zhiqiang; Yang, Zihao Affiliation 1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China2.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China3.Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China Recommended CitationGB/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