|
Descripción
|
|
|---|---|
| This work presents the application of reduced order models, obtained from information supplied by time consuming numerical simulations, to the fast prediction of steel products heating in industrial furnaces. Two di erent examples are shown. The ?rst one deals with the prediction of the forged steel axle heat- ing process in a heat treatment furnace operating under steady conditions. A ?nite element numerical simulation of a simpli?ed model of the furnace was developed and validated experimentally, using thermo- couples inserted in the axles ([1]). Computational time of the heating prediction for this numerical model in a desktop computer took more than 2 hours. However, the use of higher order singular value decomposition ([2],[3],[4]) based analysis of databases generated with numerical simulations allows to predict almost instantly (in a few milliseconds) (i) axle heating under a particular set of operations conditions (fast direct design, results indicated in ?gure (1)) and also (ii) operation conditions able to minimize a functional involving information about the quality of the workpiece heat treatment and fuel consumption (fast inverse design). The second example is related to the prediction of steel billets heating in a reheating furnace designed to feed a rolling mill and operating under rather variable conditions. Again, information from the numerical simulation of a simpli?ed model of the furnace is then extracted and used in conjunction with proper orthogonal decomposition techniques ([5]) to integrate partial di erential equations. Heating predictions obtained with the reduced order model are then incorporated in the furnace regulation scheme in order to control the furnace operation. To validate the results of the dynamical model, comparison between numerical results and two di erent experiments (with thermocouples inserted in the billets) were implemented (?gure (2)). The computation time of the dynamical model necessary to mimic one minute of furnace heating was less than 1 second. Results are in good agreement with the experiment and deviations are lower than 50 K throughout the whole experiment. Besides, regulation of a furnace using an early implementation of this dynamical model gave a reduction of consumption of natural gas of more that 10%. | |
|
Internacional
|
Si |
|
Nombre congreso
|
Numerical Heat Transfer 2012 ECCOMAS Special Interest Conference http://www.itc.polsl.pl/nht/ |
|
Tipo de participación
|
960 |
|
Lugar del congreso
|
Gliwicw-Wrolaw (Polonia) |
|
Revisores
|
Si |
|
ISBN o ISSN
|
978-83-61506-15-7 |
|
DOI
|
|
|
Fecha inicio congreso
|
04/09/2012 |
|
Fecha fin congreso
|
06/09/2012 |
|
Desde la página
|
159 |
|
Hasta la página
|
160 |
|
Título de las actas
|
Numerical Heat Transfer 2012 ECCOMAS Special Interest Conference. Book of abstracts. |