Statistical second-order two-scale analysis and computation for heat conduction problem with radiation boundary condition in porous materials  

作　　者：杨志强 刘世伟 孙毅 

机构地区：[1]Department of Astronautic Science and Mechanics,Harbin Institute of Technology

出　　处：《Chinese Physics B》2016年第9期189-197,共9页中国物理B（英文版）

基　　金：Project supported by the China Postdoctoral Science Foundation(Grant Nos.2015M580256 and 2016T90276)

摘　　要：This paper discusses a statistical second-order two-scale（SSOTS） analysis and computation for a heat conduction problem with a radiation boundary condition in random porous materials.Firstly,the microscopic configuration for the structure with random distribution is briefly characterized.Secondly,the SSOTS formulae for computing the heat transfer problem are derived successively by means of the construction way for each cell.Then,the statistical prediction algorithm based on the proposed two-scale model is described in detail.Finally,some numerical experiments are proposed,which show that the SSOTS method developed in this paper is effective for predicting the heat transfer performance of porous materials and demonstrating its significant applications in actual engineering computation.This paper discusses a statistical second-order two-scale（SSOTS） analysis and computation for a heat conduction problem with a radiation boundary condition in random porous materials.Firstly,the microscopic configuration for the structure with random distribution is briefly characterized.Secondly,the SSOTS formulae for computing the heat transfer problem are derived successively by means of the construction way for each cell.Then,the statistical prediction algorithm based on the proposed two-scale model is described in detail.Finally,some numerical experiments are proposed,which show that the SSOTS method developed in this paper is effective for predicting the heat transfer performance of porous materials and demonstrating its significant applications in actual engineering computation.

关 键 词：statistical second-order two-scale method radiation boundary condition random porous materials 

分 类 号：TB383.4[一般工业技术—材料科学与工程] O551.3[理学—热学与物质分子运动论]