Optimal experiment design for the identification of thermo-physical properties of orthotropic solids

This numerical study deals with the identification of several thermal properties of orthotropic solids by using an optimal experimental design. The system under investigation is a cylindrical vertical sample, which is submitted to an irradiation flux on the upper face on a central circular area. The temperature response, during and after the irradiation, is measured at the opposite face. In this article, the system is particularly developed to the identification of the Fourier number including the axial diffusivity, the ratio of radial to axial conductivities, a Biot number and a heat flux term from one temperature evolution versus time. The temperature sensor position is adjusted simultaneously with the identification of the above four parameters.