Abstract
Determining the thermal properties of materials with complex structures is still a major engineering challenge today. The well-known heat pulse experiment can be used to determine the thermal diffusivity by measuring the temperature history as a thermal response for a fast excitation. However, the evaluation of the measurements can be challenging, especially when dealing with non-homogeneous samples. The thermal behavior of such heterogeneous materials may exhibit a response including two-time scales. Therefore, the Fourier equation is not necessarily applicable. The simplest possible alternatives are the 2-temperature models the Guyer–Krumhansl and Jeffreys heat equations. In the present paper, we focus on the interpretation of the Jeffreys heat equation; studying its analytical solution, we present a fitting method for determining the unknown parameters. We also discuss its relation with the other two heat equations, and we offer an interpretation of how to characterize the transient response of heterogeneous materials.
Funding source: Sustainable Development and Technologies National Programme of the Hungarian Academy of Sciences (FFT NP FTA)
Funding source: Hungarian Scientific Research Fund
Award Identifier / Grant number: Grant agreements and FK 134277
Acknowledgments
We declare that we did not use AI or Machine Learning Tools for manuscript preparation.
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Research ethics: Not applicable.
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Author contributions: A. Fehér: experiments, evaluation, calculation, writing, R. Kovács: conceptualization, funding, supervision.
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Competing interests: We declare no competing interest.
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Research funding: The research was funded by the Sustainable Development and Technologies National Programme of the Hungarian Academy of Sciences (FFT NP FTA). This work was partially supported in part by the Hungarian Scientific Research Fund under Grant agreements and FK 134277.
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Data availability: Not applicable.
References
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