A three-scale homogenization algorithm for coupled conduction-radiation problems in porous materials with multiple configurations

doi:10.1016/j.ijheatmasstransfer.2018.05.024

	A three-scale homogenization algorithm for coupled conduction-radiation problems in porous materials with multiple configurations
	Yang, Zhiqiang 1; Sun, Yi 1; Cui, Junzhi2 ; Yang, Zihao 1,3; Guan, Tianyu 1
	2018-10-01
发表期刊	INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
ISSN	0017-9310
卷号	125 页码:1196-1211
摘要	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.
关键词	Three-scale homogenization algorithms Conduction-radiation problems Micro-meso-macro formulations Porous materials
DOI	10.1016/j.ijheatmasstransfer.2018.05.024
语种	英语
资助项目	Fundamental Research Funds for the Central Universities ; National Natural Science Foundation of China[11701123]
WOS研究方向	Thermodynamics ; Engineering ; Mechanics
WOS类目	Thermodynamics ; Engineering, Mechanical ; Mechanics
WOS记录号	WOS:000440118600103
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30807
专题	计算数学与科学工程计算研究所
通讯作者	Yang, Zhiqiang; Yang, Zihao
作者单位	1.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
推荐引用方式 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.