Implementation of a numerical holding furnace model in foundry and construction of a reduced model

7th European Thermal-Sciences Conference

Loussouarn, Thomas^1,2 ; Maillet, Denis^1 ; Remy, Benjamin^1 ; Dan, Diane^2

LEMTA, UMR 7563, CNRS, Vandoeuvre-Les-Nancy

54504, France^1

ITKMM Foundry Modelling, SNECMA Gennevilliers, Colombes

92700, France^2

关键词: Experimental identification;    Heat transfer model;    Internal induction;    Least squares minimization;    Levenberg-Marquardt;    Solidification parameter;    Synthetic temperature;    Transient radiative transfer;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/745/3/032088/pdf
DOI  :  10.1088/1742-6596/745/3/032088

来源: IOP

【 摘 要 】

Vacuum holding induction furnaces are used for the manufacturing of turbine blades by loss wax foundry process. The control of solidification parameters is a key factor for the manufacturing of these parts in according to geometrical and structural expectations. The definition of a reduced heat transfer model with experimental identification through an estimation of its parameters is required here. In a further stage this model will be used to characterize heat exchanges using internal sensors through inverse techniques to optimize the furnace command and the optimization of its design. Here, an axisymmetric furnace and its load have been numerically modelled using FlexPDE, a finite elements code. A detailed model allows the calculation of the internal induction heat source as well as transient radiative transfer inside the furnace. A reduced lumped body model has been defined to represent the numerical furnace. The model reduction and the estimation of the parameters of the lumped body have been made using a Levenberg-Marquardt least squares minimization algorithm with Matlab, using two synthetic temperature signals with a further validation test.