Uncertainty Quantification to Assess a Reduced Model for the Remote Heating of a Polymer

FERNANDO A. OTERO; GUILLERMO E. ELIÇABE; GLORIA L. FRONTINI

La Plata

Congreso; XXIII Congreso sobre Métodos Numéricos y sus Aplicaciones; 2017

AMCA

This article studies the feasibility of a 1D radiative transfer model to compute the thermalsource for a remote heating problem associated to the physics of the so-called plasmonic resonance(PR) in a synthetic polymeric material. The PR is responsible for converting the optical radiationfrom the incident laser beam into an equivalent thermal source and is achieved by embedding goldnanoparticles during the design of the synthetic polymer. Since the Radiative Transfer Equationcannot be analytically solved for a real experimental case, a two-staged simplified process isconsidered which requires the uncertainty quantification as a prior stage, in order to make anappropriate control of the resulting temperature profile. In this work, we include propagation errorsfor lattices of 1D, 2D and 3D geometries, due to the approximate laser source profile used, as well asthose arisen from uncertainties in the thermal parameters and the ones derived from the variablesinvolved in the design of the polymer. Computational simulations for a suitable experimental polymerare carried out using COMSOL®. Corresponding results show the scope of the reduced model interms of a range of parameter values where it can be effectively used in practice.