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.