Novel Methodologies for Solving the Inverse Unsteady Heat Transfer Problem of Estimating the Boundary Heat Flux in Continuous Casting Molds

10/05/2022
by   Umberto Emil Morelli, et al.
0

In this work, 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.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
01/28/2021

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

In the present work, we consider the industrial problem of estimating in...
research
07/24/2019

Experimental Estimation of Temporal and Spatial Resolution of Coefficient of Heat Transfer in a Channel Using Inverse Heat Transfer Method

In this research, a novel method to investigation the transient heat tra...
research
11/28/2020

Simultaneous recovery of surface heat flux and thickness of a solid structure by ultrasonic measurements

This paper is concerned with a practical inverse problem of simultaneous...
research
05/31/2023

The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data

The objective of this article is to introduce a novel technique for comp...
research
06/29/2021

Predicting Surface Heat Flux on Complex Systems via Conv-LSTM

Existing algorithms with iterations as the principle for 3D inverse heat...
research
07/01/2022

Implicit adaptation of mesh model of transient heat conduction problem

Considering high-temperature heating, the equations of transient heat co...
research
04/25/2023

Genetically-inspired convective heat transfer enhancement in a turbulent boundary layer

The convective heat transfer in a turbulent boundary layer (TBL) on a fl...

Please sign up or login with your details

Forgot password? Click here to reset