室温实验中的尺寸效应和超傅立叶热传导
Size effects and beyond-Fourier heat conduction in room-temperature experiments
摘要：
这是一个长期的任务，以了解热传导现象以外的傅立叶。除了在极纯晶体上进行的低温实验外，最近还发现，具有宏观尺度的非均匀材料也可以显示出傅立叶方程无法模拟的热效应。这被称为过度扩散传播，不同于低温观测，并且在由金属泡沫、岩石和复合材料制成的许多样品中发现。测量的温度历史确实与傅立叶定律预测的相似，但通常的评估不能提供可靠的热参数。本文是我们对几种岩石类型的实验报告，每种类型都有多个不同厚度的样品。我们表明，尺寸相关的热行为可以发生傅立叶和非傅立叶的情况。此外，根据目前的实验数据，我们发现傅立叶和非傅立叶参数之间的经验关系，这可能有助于在以后的实验中开发一个更强大和可靠的评估程序。
英文摘要：
It is a long-lasting task to understand heat conduction phenomena beyond Fourier. Besides the low-temperature experiments on extremely pure crystals, it has turned out recently that heterogeneous materials with macro-scale size can also show thermal effects that cannot be modelled by the Fourier equation. This is called over-diffusive propagation, different from low-temperature observations, and is found in numerous samples made from metal foam, rocks, and composites. The measured temperature history is indeed similar to what Fourier's law predicts but the usual evaluation cannot provide reliable thermal parameters. This paper is a report on our experiments on several rock types, each type having multiple samples with different thicknesses. We show that size-dependent thermal behaviour can occur for both Fourier and non-Fourier situations. Moreover, based on the present experimental data, we find an empirical relation between the Fourier and non-Fourier parameters, which may be helpful in later experiments to develop a more robust and reliable evaluation procedure.
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