Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Comparison of Different Thermal Models to Estimate Thermal Properties
Submission Author:
Sandro Metrevelle Marcondes de Lima e Silva , MG , Brazil
Co-Authors:
Nícolas Pinheiro Ramos, Luís Felipe dos Santos Carollo, Sandro Metrevelle Marcondes de Lima e Silva
Presenter: Nícolas Pinheiro Ramos
doi://10.26678/ABCM.COBEM2017.COB17-1150
Abstract
This work presents two models for the simultaneous estimation of thermal conductivity, λ, and volumetric heat capacity, ρcp, in a AISI 1045 steel sample. The thermal models used are based on a transient one-dimensional heat diffusion equation. Based on the analysis of the sensitivity coefficients, two different intensities of heat flux are used on the top surface. On the bottom surface, each model has a different condition: the first one has an insulation condition and the other one has a constant temperature condition. To estimate these properties, an error function is minimized by applying the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm. The numerical temperature is obtained through the solution of proposed thermal model by using the Finite Difference Method with an implicit formulation. The simulated experimental temperature is obtained by the addition of random errors in the numerical temperature data. For both models, the estimated properties are in good agreement with literature and presented differences around 5 %.
Keywords
thermal conductivity, volumetric heat capacity, simultaneous estimation, heat conduction, Optimization
