RT Journal Article
T1 Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds
A1 Morelli, Umberto Emil
A1 Barral, Patricia
A1 Quintela Estévez, Peregrina
A1 Rozza, Gianluigi
A1 Stabile, Giovanni
K1 Boundary condition estimation
K1 Continuous casting
K1 Data assimilation
K1 Heat transfer
K1 Inverse problem
K1 Optimal control
AB In this article, we investigate the estimation of the transient mold-slab heat flux in continuous casting molds given some thermocouples measurements in the mold plates. Mathematically, we can see this problem as the estimation of a Neumann boundary condition given pointwise state observations in the interior of the domain. We formulate it in a deterministic inverse problem setting. After introducing the industrial problem, we present the mold thermal model and related assumptions. Then, we formulate the boundary heat flux estimation problem in a deterministic inverse problem setting using a sequential approach according to the sequentiality of the temperature measurements. We consider different formulations of the inverse problem. For each one, we develop novel direct methodologies exploiting a space parameterization of the heat flux and the linearity of the mold model. We construct these methods to be divided into a computationally expensive offline phase that can be computed before the process starts, and a cheaper online phase to be performed during the casting process. To conclude, we test the performance of the proposed methods in two benchmark cases
PB Wiley
SN 0029-5981
YR 2023
FD 2023
LK http://hdl.handle.net/10347/30766
UL http://hdl.handle.net/10347/30766
LA eng
NO Morelli UE, Barral P, Quintela P, Rozza G, Stabile G. Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds. Int J Numer Methods Eng. 2023;124(6):1344-1380. doi: 10.1002/nme.7167
NO Agencia Estatal de Investigación, Grant/Award Number: PID2019-105615RBI00/AEI; European Research Council, Grant/Award Number:765374; H2020 Marie Skłodowska-Curie Actions, Grant/Award Number: 681447; Ministerio de Economía, Industria y Competitividad, Gobierno de España, Grant/Award Number: MTM2015-68275-R
DS Minerva
RD 23 abr 2026