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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
ANALYSIS OF LINEAR AND NONLINEAR INVERSE PROBLEM TECHNIQUES FOR SOLVING A THREE-DIMENSIONAL HEAT CONDUCTION PROBLEM
Submission Author:
Sandro Metrevelle Marcondes de Lima e Silva , MG , Brazil
Co-Authors:
Lucca Roque Caires, Rodrigo Gustavo Dourado da Silva, Sandro Metrevelle Marcondes de Lima e Silva
Presenter: Lucca Roque Caires
doi://10.26678/ABCM.ENCIT2020.CIT20-0081
Abstract
Inverse Heat Conduction Problems are those in which an unknown parameter in the heat diffusion equation needs to be estimated using measured temperature data. The possible approaches for those problems become even more difficult when those measured temperatures vary widely, turning the problem non-linear. In this work, a comparison between two techniques for the heat flux estimation in a three-dimensional heat conduction inverse problem is perfomed. To solve de direct problem the three-dimensional heat diffusion equation is discretized by the Finite Difference method. The inverse problem is solved first using the linear Sequential Function Specification Method and secondly the iterative non-linear Sequential Function Specification Method. The validation of the methods is done simulating a non-linear experiment with a Tungsten Carbide sample, while a real experiment is expected to be done. The estimated heat fluxes are showed and compared each other, being also compared with the simulated one.
Keywords
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