Optimal experiment design for thermal diffusivity estimation of bi-layered materials
Jihene Faouel, Foued Mzali, Abdelmajid Jemni, and Sassi Ben Nasrallah
This paper presents a novel method for a simultaneous thermal diffusivity estimation of both isotropic layers of a bi-layered composite using a photo-thermal technique. This consists on exposing the bi-layered material on a part of its front face to an irradiation heat flux and recording the temperature rise on the opposite face. The parameter estimation is performed by the minimization of the ordinary least squares objective function comparing the simulated temperature to the response of the mathematical model function of thermo-physical parameters. The used iterative algorithm is based on the Levenberg-Marquardt technique.
Keywords: Bi-layered materials, thermal diffusivity, photo-thermal method, parameter estimation, Levenberg-Marquardt algorithm.