Estimation of Heat Flux Distribution in a Continuous Casting Mould by Inverse Heat Transfer Algorithms

Ranut, Paola; Persi, C.; Spagnul, Stefano

doi:10.1115/detc2011-47435

Cited by 8 publications

(3 citation statements)

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“…Finally, they used Tikhonov's regularization for solving the inverse problem and validated the results with experimental measurements. A similar approach was used by Rauter et al 36 Ranut et al 26,37 estimated the heat flux transferred from the solidifying steel to the mold wall both in a 2D and 3D domain. They used a steady‐state heat conduction model for the mold and parameterized the heat flux with a piecewise linear profile in 2D and symmetric cosine profile in 3D.…”

Section: Inverse Problemmentioning

confidence: 99%

A numerical approach for heat flux estimation in thin slabs continuous casting molds using data assimilation

Morelli

Barral

Quintela

et al. 2021

Numerical Meth Engineering

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In the present work, we consider the industrial problem of estimating in real‐time the mold‐steel heat flux in continuous casting mold. We approach this problem by first considering the mold modeling problem (direct problem). Then, we plant the heat flux estimation problem as the inverse problem of estimating a Neumann boundary condition having as data pointwise temperature measurements in the interior of the mold domain. We also consider the case of having a total heat flux measurement together with the temperature measurements. We develop two methodologies for solving this inverse problem. The first one is the traditional Alifanov's regularization, the second one exploits the parameterization of the heat flux. We develop the latter method to have an offline–online decomposition with a computationally efficient online part to be performed in real‐time. In the last part of this work, we test these methods on academic and industrial benchmarks. The results show that the parameterization method outclasses Alifanov's regularization both in performance and computational cost. Moreover, it proves to be robust with respect to the measurements noise. Finally, the tests confirm that the computational cost is suitable for real‐time estimation of the heat flux.

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Section: Inverse Problemmentioning

confidence: 99%

A numerical approach for heat flux estimation in thin slabs continuous casting molds using data assimilation

Morelli

Barral

Quintela

et al. 2021

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…Finally, they used Tikhonov's regularization for solving the inverse problem and validated the results with experimental measurements. A similar approach was used more recently by Rauter et al 15 , 27 , 28 They estimated the heat flux transferred from the solidifying steel to the mold wall both in a 2D and 3D domain. They used a steady‐state heat conduction model for the mold and parameterized the heat flux with a piecewise linear profile in 2D and symmetric cosine profile in 3D.…”

Section: Inverse Problemmentioning

confidence: 99%

Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds

Morelli

Barral

Quintela

et al. 2022

Numerical Meth Engineering

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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.

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“…Finally, they used Tikhonov's regularization for solving the inverse problem and validated the results with experimental measurements. A similar approach was used by Rauter et al 36 Ranut et al 25,37 estimated the heat flux transferred from the solidifying steel to the mold wall both in a 2D and 3D domain. They used a steady-state heat conduction model for the mold and parameterized the heat flux with a piecewise linear profile in 2D and symmetric cosine profile in 3D.…”

Section: Inverse Problemmentioning

confidence: 99%

A numerical approach for heat flux estimation in thin slabs continuous casting molds using data assimilation

Morelli¹,

Barral²,

Quintela³

et al. 2021

Preprint

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In the present work, we consider the industrial problem of estimating in real-time the mold-steel heat flux in continuous casting mold. We approach this problem by first considering the mold modeling problem (direct problem). Then, we plant the heat flux estimation problem as the inverse problem of estimating a Neumann boundary condition having as data pointwise temperature measurements in the interior of the mold domain. We also consider the case of having a total heat flux measurement together with the temperature measurements. We develop two methodologies for solving this inverse problem. The first one is the traditional Alifanov's regularization, the second one exploits the parameterization of the heat flux. We develop the latter method to have an offlineonline decomposition with a computationally efficient online part to be performed in real-time. In the last part of this work, we test these methods on academic and industrial benchmarks. The results show that the parameterization method outclasses Alifanov's regularization both in performance and computational cost. Moreover, it proves to be robust with respect to the measurements noise. Finally, the tests confirm that the computational cost is suitable for real-time estimation of the heat flux.

show abstract

Estimation of Heat Flux Distribution in a Continuous Casting Mould by Inverse Heat Transfer Algorithms

Cited by 8 publications

References 0 publications

A numerical approach for heat flux estimation in thin slabs continuous casting molds using data assimilation

A numerical approach for heat flux estimation in thin slabs continuous casting molds using data assimilation

Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds

A numerical approach for heat flux estimation in thin slabs continuous casting molds using data assimilation

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