Thermal Parameter Identification in Remote Heating

ELIÇABE, G.; HOPPE, C.E.; ALTUNA F.I.; OTERO, F.; PUIG, J.; FRONTINI, G.

Simposio; New Trends in Parameter Identification for Mathematical Model IMPA - Symposium on Inverse Problems in Science and Engineering; 2017

This presentation addressesthe estimation of the thermal parameters of a polymer matrix embedded with plasmonicnanoparticles using reduced models. The proposed problem corresponds to aremote heating based on the Photothermal Effect (PE) of a polymer by means of alaser beam. A 1D reduced model has been used to solve the forward radiativetransfer problem involved, to achieve the equivalent thermal source. Time-varyingand space-varying temperature measurements are simulated for a 3D-real geometrywith additive Gaussian noise considering partial and total illumination fromthe beam. The corresponding solution for the thermal conductivity k and theheat capacity Cp is calculated using the Levenberg-Marquardt algorithm for 1Dand 2D reduced geometries by the inversion of thermocouple temperaturemeasurements at the center of the irradiated specimen. As a result, the scopesof the geometrically reduced models are evaluated in terms of the determinationof these thermal parameters.