在热脉冲实验中观察到的弹道热传导的解析和数值模拟
Analytical and numerical modelling of ballistic heat conduction observed in heat pulse experiments
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，我们讨论了它的物理解释，并显示不同的替代方案，其建模。我们强调其中两个：一种热机械模型，其中广义热方程-所谓的麦克斯韦-卡塔内奥-韦尔诺特方程-耦合到热膨胀。另一种是使用内部变量。对于第一个问题，我们发展了一个数值解，并在McNelly等人的热脉冲实验上进行了检验。NaF样品。对于第二个问题，我们找到了一个强调边界条件作用的解析解。这种分析方法被用来验证早期开发的数值代码。
英文摘要：
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.
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