Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
TOTAL VARIATION PRIOR AND INFRARED THERMOGRAPHY APPLIED TO THE INVERSE PROBLEM OF TWO-DIMENSIONAL AND TIME DEPENDENT HEAT FLUX ESTIMATION
Submission Author:
Gabriel Neves , RJ
Co-Authors:
Gabriel Neves, Eiji Watanabe , Luiz A. S. Abreu, Diego Knupp, Antônio Silva Neto
Presenter: Gabriel Neves
doi://10.26678/ABCM.COBEM2019.COB2019-1632
Abstract
In this work the problem of heat flux estimation with two-dimensional and temporal variations applied to one of the surfaces of a thermally thin aluminium plate is addressed. The direct problem, that in this work consists in the identification of the temperature field on a thermally thin plate, was solved by using the finite difference method and a lumped formulation. The solution of the inverse problem is obtained using the Markov chains Monte Carlo Method, a Bayesian approach. The experimental data was collected through the use of infrared thermography. For the regularization of the inverse problem it is proposed the application of the Total Variation prior information, a Markov Random Fields formulation. The results, using real measurements, show that the method is able to accurately estimate the heat flux.
Keywords
Heat Flux Estimate, Bayesian inference, Inverse problems, Markov Random Fields, Infrared Termography
