  The heat pulse (flash) experiment is a well-known and widely accepted method
to measure the thermal diffusivity of a material. In recent years, it is
observed that the thermal behavior of heterogeneous materials can show
deviation from the classical Fourier equation, resulting in a different thermal
diffusivity and requiring further thermal parameters to identify. Such
heterogeneity can be inclusions in metal foams, layered structure in
composites, or even cracks and porous parts in rocks. Furthermore, the next
candidate, the so-called Guyer-Krumhansl equation, is tested on these
experiments with success. However, these recent evaluations required a
computationally intensive fitting procedure using countless numerical
solutions, even when a good initial guess for the parameters is found by hand.
This paper presents a Galerkin-type discretization for the Guyer-Krumhansl
equation, which helped us find a reasonably simple analytical solution for
time-dependent boundary conditions. Utilizing this analytical solution, we
developed a new evaluation technique to immediately estimate all the necessary
thermal parameters using the measured temperature history.
