Analytic solution of Guyer-Krumhansl equation for laser flash experiments
Statistical Mechanics
2018-04-17 v1
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.
Cite
@article{arxiv.1804.05225,
title = {Analytic solution of Guyer-Krumhansl equation for laser flash experiments},
author = {Róbert Kovács},
journal= {arXiv preprint arXiv:1804.05225},
year = {2018}
}