### 导热-辐射耦合传热的多尺度分析和数值模型

1. 1. 西安交通大学 人居环境与建筑工程学院, 西安 710049;
2. 西安交通大学 能源与动力工程学院 热流科学与工程教育部重点实验室, 西安 710049
• 收稿日期:2021-03-30 修回日期:2021-04-27 发布日期:2021-05-21
• 通讯作者: 李明佳 E-mail:mjli1990@mail.xjtu.edu.cn
• 基金资助:
国家数值风洞工程；国家自然科学基金（51906186）

### Multiscale analysis and numerical model for coupled conduction-radiation heat transfer

TONG Zixiang1, LI Mingjia2, LI Dong2

1. 1. School of Human Settlements and Civil Engineering, Xi'an Jiaotong University, Xi'an 710049, China;
2. Key Laboratory of Thermo-Fluid Science and Engineering of Ministry of Education, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China
• Received:2021-03-30 Revised:2021-04-27 Published:2021-05-21
• Supported by:
National Numerical Windtunnel Project; National Natural Science Foundation of China (51906186)

Abstract: Predictions of the heat transfer processes in composite materials are important for designs of thermal protection structures of hypersonic vehicles. The corresponding model is also an essential part of the multiphase-multicomponent sub-model of the National Numerical Windtunnel Project. In this work, a multiscale asymptotic analysis method is used to study the problem of coupled conduction-radiation heat transfer for high temperature composite materials with periodic structures. Both the conduction equation and radiative transfer equation are analyzed. The cell problem and homogenized macroscopic conduction and radiation equations are established. The relation between effective thermal conductivity and the results of the cell problem is obtained. It is also found that the radiative absorption and scattering coefficients can be calculated from the volumetric averages in a representative element. A multiscale numerical model for conduction-radiation heat transfer in composite materials is built based on the finite volume method and the lattice Boltzmann method. The multiscale model is validated by the simulation of heat transfer in 2D materials with constant thermal properties. It is shown that the temperature fields can be effectively and accurately calculated by the multiscale model proposed. The model can be further used in the prediction of high-temperature heat transfer processes in composite materials.