We revisit Cattaneo's derivation of the equation describing heat transfer and bearing his name, finding a more elaborated model equation, that we will compare with the time‐lagged model. This equation does not comply with the second law of thermodynamics, as well as Cattaneo equation. The latter, however, is known to have provided meaningful results in certain experiments conducted in some liquids and solids at very low temperature. These experiments also match the results given by a nonlinear model proposed by A. Morro and T. Ruggeri in 1988, which instead does meet the laws of thermodynamics. A comparison is made with such a model too.

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有关Cattaneo方程的更多内容来描述传热过程

我们重新审视Cattaneo对描述热传递的方程式的推导，并以他的名字命名，找到一个更详尽的模型方程式，并将其与时滞模型进行比较。该方程式不符合热力学第二定律以及Cattaneo方程式。但是，已知后者在某些液体和固体中在非常低的温度下进行的某些实验中提供了有意义的结果。这些实验还与A. Morro和T. Ruggeri在1988年提出的非线性模型给出的结果相匹配，该模型确实符合热力学定律。也与这种模型进行了比较。