Volume 4, Issue 2
The Statistical Second-Order Two-Scale Method for Heat Transfer Performances of Random Porous Materi

ZHIQIANG YANG, JUNZHI CUI, AND YIQIANG LI

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 151-166

Published online: 2013-04

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  • Abstract
In this paper, a statistical second-order two-scale (SSOTS) method is presented in a constructive way for predicting heat transfer performances of random porous materials with interior surface radiation. Firstly, the probability distribution model of porous materials with random distribution of a great number of cavities is described. Secondly, the SSOTS formulations for predicting effective heat conduction parameters and the temperature field are given. Then, a statistical prediction algorithm for maximum heat flux density is brought forward. Finally, some numerical results for porous materials with different random distribution models are calculated, and compared with the data by theoretical methods. The results demonstrate that the SSOTS method is valid to predict the heat transfer performances of random porous materials.
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35R35 49J40 60G40

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@Article{IJNAMB-4-151, author = {ZHIQIANG YANG, JUNZHI CUI, AND YIQIANG LI}, title = {The Statistical Second-Order Two-Scale Method for Heat Transfer Performances of Random Porous Materi}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {2}, pages = {151--166}, abstract = {In this paper, a statistical second-order two-scale (SSOTS) method is presented in a constructive way for predicting heat transfer performances of random porous materials with interior surface radiation. Firstly, the probability distribution model of porous materials with random distribution of a great number of cavities is described. Secondly, the SSOTS formulations for predicting effective heat conduction parameters and the temperature field are given. Then, a statistical prediction algorithm for maximum heat flux density is brought forward. Finally, some numerical results for porous materials with different random distribution models are calculated, and compared with the data by theoretical methods. The results demonstrate that the SSOTS method is valid to predict the heat transfer performances of random porous materials.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/250.html} }
TY - JOUR T1 - The Statistical Second-Order Two-Scale Method for Heat Transfer Performances of Random Porous Materi AU - ZHIQIANG YANG, JUNZHI CUI, AND YIQIANG LI JO - International Journal of Numerical Analysis Modeling Series B VL - 2 SP - 151 EP - 166 PY - 2013 DA - 2013/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/250.html KW - Statistical second-order two-scale method KW - Interior surface radiation KW - Random porous materials KW - Maximum heat flux density AB - In this paper, a statistical second-order two-scale (SSOTS) method is presented in a constructive way for predicting heat transfer performances of random porous materials with interior surface radiation. Firstly, the probability distribution model of porous materials with random distribution of a great number of cavities is described. Secondly, the SSOTS formulations for predicting effective heat conduction parameters and the temperature field are given. Then, a statistical prediction algorithm for maximum heat flux density is brought forward. Finally, some numerical results for porous materials with different random distribution models are calculated, and compared with the data by theoretical methods. The results demonstrate that the SSOTS method is valid to predict the heat transfer performances of random porous materials.
ZHIQIANG YANG, JUNZHI CUI, AND YIQIANG LI. (1970). The Statistical Second-Order Two-Scale Method for Heat Transfer Performances of Random Porous Materi. International Journal of Numerical Analysis Modeling Series B. 4 (2). 151-166. doi:
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