Challenges in the thermal modeling of highly porous carbon foams

Abstract

The heat pulse experiment is a well-known method for determining thermal diffusivity. However, neither the measurement nor the evaluation methodologies are straightforward for heterogeneous, highly porous materials. In the present paper, we focus on two open-cell carbon foam types, differing in their porosity but having the same size. Recent experiments showed that a non-Fourier behaviour, called 'over-diffusive' propagation, is probably present for such a complex structure. The (continuum) Guyer-Krumhansl equation stands as a promising candidate to model such transient thermal behaviour. In order to obtain a reliable evaluation and thus reliable thermal parameters, we utilize a novel, state-of-the-art evaluation procedure developed recently using an analytical solution of the Guyer-Krumhansl equation. Based on our observations, it turned out that the presence of high porosity alone is necessary but not satisfactory for non-Fourier behaviour. Additionally, the mentioned non-Fourier effects are porosity-dependent. However, porous samples can also follow the Fourier law. These data serve as a basis to correctly identify the characteristic heat transfer mechanisms and their corresponding time scales, which altogether result in the present non-Fourier behaviour. Keywords: flash experiments, non-Fourier heat conduction, highly porous carbon foams