论文标题
在热脉冲实验中观察到的弹道热传导的分析和数值建模
Analytical and numerical modelling of ballistic heat conduction observed in heat pulse experiments
论文作者
论文摘要
在三种热传导模式中，弹道传播是最难建模的。在本文中，我们讨论了其物理解释，并显示了其建模的不同替代方法。我们重点介绍了其中的两个：一种热机械模型，其中广义热方程（所谓的麦克斯韦 - 卡塔内诺方程）与热膨胀耦合。同时，另一个使用内部变量。对于第一个，我们开发了一种数值溶液，并在McNelly等人对NAF样品上进行的热脉冲实验进行了测试。对于第二个，我们找到了一个分析解决方案，该解决方案强调边界条件的作用。这种分析方法用于验证早期开发的数值代码。
Among the three heat conduction modes, the ballistic propagation is the most difficult to model. In the present paper, we discuss its physical interpretations and showing different alternatives to its modeling. We highlight two of them: a thermo-mechanical model in which the generalized heat equation - the so-called Maxwell-Cattaneo-Vernotte equation - is coupled to thermal expansion. At the same time, the other one uses internal variables. For the first one, we developed a numerical solution and tested on the heat pulse experiment performed by McNelly et al.~on NaF samples. For the second one, we found an analytical solution that emphasizes the role of boundary conditions. This analytical method is used to validate the earlier developed numerical code.
