Eventos Anais de eventos
ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
A NONLINEAR INVERSE HEAT CONDUCTION TECHNIQUE TO ESTIMATE THERMAL PROPERTIES OF METALS
Submission Author:
Sandro Metrevelle Marcondes de Lima e Silva , MG , Brazil
Co-Authors:
Mariana de Melo Antunes, Rodrigo Gustavo Dourado da Silva, Nícolas Pinheiro Ramos, Sandro Metrevelle Marcondes de Lima e Silva
Presenter: Mariana de Melo Antunes
doi://10.26678/ABCM.ENCIT2020.CIT20-0037
Abstract
This work presents a nonlinear inverse heat conduction problem technique to estimate simultaneously the thermal conductivity, k, and volumetric heat capacity, ρcp, temperature-dependent of an AISI 304 stainless steel sample. The thermal model is based on a transient one-dimensional heat diffusion equation, with constant and uniform heat flux applied on the top surface and an insulation condition on the bottom. The heat flux intensity, duration of the experiment, interval of data acquisition and others were determined through the analysis of the sensitivity coefficients. To estimate the thermal properties, an iterative technique for nonlinear inverse problems, based on the Gauss method of minimization with regularization for future times was applied. The simultaneous estimation depends on the definition of an objective function, determined by the squared difference of the experimentally simulated and numerical temperatures. The solution of the heat diffusion equation by the Finite Difference method with implicit formulation provides the numerical temperature, and the simulated experimental temperature is obtained by the addition of residuals to the numerical data. The estimated properties presented a good agreement when compared with literature.
Keywords
heat conduction, simultaneous estimation, thermal conductivity, volumetric heat capacity, nonlinear problem
DOWNLOAD PDF VIEW PRESENTATION
