Analytic solution of Guyer-Krumhansl equation for laser flash experiments

Róbert Kovács

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arXiv · 1804.05225

Analytic solution of Guyer-Krumhansl equation for laser flash experiments

Róbert Kovács

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Abstract

The existence of non-Fourier heat conduction is known for a long time in small and low temperature systems. The deviation from Fourier's law has been found at room temperature in heterogeneous materials like rocks and metal foams \cite{Botetal16, Vanetal17}. These experiments emphasized that the so-called Guyer-Krumhansl equation is adequate for modeling complex materials. In this paper an analytic solution of Guyer-Krumhansl equation is presented considering boundary conditions from laser flash experiment. The solutions are validated with the help of a numerical code \cite{KovVan15} developed for generalized heat equations.

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Róbert Kovács. 2018-04-14. Analytic solution of Guyer-Krumhansl equation for laser flash experiments. https://arxiv.org/abs/1804.05225

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