The Calculation of Thermal Conductivities by Three Dimensional Direct Simulation Monte Carlo Method
The Calculation of Thermal Conductivities by Three Dimensional Direct Simulation Monte Carlo Method
复制标题
三维直接模拟蒙特卡罗法计算热导率
DOI：
10.1166/jnn.2015.9679
复制
发表时间：
2015-04-01
影响因子：
--
通讯作者：
Tao, Wen-Quan
中科院分区：
文献类型：
--
作者：
Zhao, Xin-Peng;Li, Zeng-Yao;Tao, Wen-Quan
采用变软球碰撞模型，采用直接模拟蒙特卡罗（DSMC）方法求解Boltzmann方程，得到了平行平板间的热流密度（Fourier流）。根据傅里叶定律，在温度270 ~ 1800 K，压力0.5 ~ 100000 Pa的局部平衡条件下，导出了氮气的气相导热系数，并与实验数据和Chapman和Enskog（CE）理论的Eukken关系式进行了比较。结果表明，本文的计算结果与实验数据基本一致，但远高于Eukken关系式的计算结果，特别是在高温下。随着温度的升高，分子内能对气体热导率的贡献变得显著。
Three dimensional direct simulation Monte Carlo (DSMC) method with the variable soft sphere (VSS) collision model is implemented to solve the Boltzmann equation and to acquire the heat flux between two parallel plates (Fourier Flow). The gaseous thermal conductivity of nitrogen is derived based on the Fourier's law under local equilibrium condition at temperature from 270 to 1800 K and pressure from 0.5 to 100000 Pa and compared with the experimental data and Eucken relation from Chapman and Enskog (CE) theory. It is concluded that the present results are consistent with the experimental data but much higher than those by Eucken relation especially at high temperature. The contribution of internal energy of molecule to the gaseous thermal conductivity becomes significant as increasing the temperature.