On the dynamic thermal conductivity and diffusivity observed in heat pulse experiments
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Anna Fehér
and
Róbert Kovács
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.
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- Thermodynamic costs of temperature stabilization in logically irreversible computation
- Hydrodynamic, electronic and optic analogies with heat transport in extended thermodynamics
- Variations on the models of Carnot irreversible thermomechanical engine
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- On the dynamic thermal conductivity and diffusivity observed in heat pulse experiments
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- Lack-of-fit reduction in non-equilibrium thermodynamics applied to the Kac–Zwanzig model
- Optimized quantum drift diffusion model for a resonant tunneling diode
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Articles in the same Issue
- Frontmatter
- Editorial
- Thermodynamic costs of temperature stabilization in logically irreversible computation
- Hydrodynamic, electronic and optic analogies with heat transport in extended thermodynamics
- Variations on the models of Carnot irreversible thermomechanical engine
- Revisit nonequilibrium thermodynamics based on thermomass theory and its applications in nanosystems
- On the dynamic thermal conductivity and diffusivity observed in heat pulse experiments
- On the influence of the fourth order orientation tensor on the dynamics of the second order one
- Lack-of-fit reduction in non-equilibrium thermodynamics applied to the Kac–Zwanzig model
- Optimized quantum drift diffusion model for a resonant tunneling diode
- The wall effect in a plane counterflow channel
- Buoyancy driven convection with a Cattaneo flux model
- Thermodynamics of micro- and nano-scale flow and heat transfer: a mini-review
- Poroacoustic front propagation under the linearized Eringen–Cattaneo–Christov–Straughan model
