Transient heat conduction problem with radiation boundary condition of statistically inhomogeneous materials by second-order two-scale method

doi:10.1016/j.ijheatmasstransfer.2016.04.093

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Transient heat conduction problem with radiation boundary condition of statistically inhomogeneous materials by second-order two-scale method
	Yang, Zhiqiang 1; Cui, Junzhi2 ; Sun, Yi 1
刊名	INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
	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
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000378361700036
内容类型	期刊论文
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.