The Laloy & Massard model: improvements and limitations ? How numerics help us in making better and useful experiments

ÉDOUARD CANOT; RENAULT DELANNAY; JOSÉ AGUSTÍN CORDERO; RAMIRO J, MARCH

Beirut

Workshop; Workshop on Numerical Models in the Sciences; 2013

Nabil Nassif and Bernard Phillipe (MODNUM CEDRE Project) and Center for Advanced Mathematical Sciences, AUB.

The talk concerns experimental methods used for the determination of the thermal diffusivity of a material. A first part is focused on the Laloy & Massard model which is based on the one-dimensional analytical solution of the transient heat equation. We introduce an improvement of the mathematical internal approximation that leads to a better estimation of the diffusivity. This new improved method is tested against synthetic data. Lastly, a discussion is made about the uncertainties coming from measurement errors. A second part is dedicated to a slightly different method which uses a periodic boundary temperature. We discuss the advantages of this second method.