Detail publikace

# Numerical Off-line Model of Temperature Field of a Continuously Cast Billet and its Preparation

Originální název

Numerical Off-line Model of Temperature Field of a Continuously Cast Billet and its Preparation

Anglický název

Numerical Off-line Model of Temperature Field of a Continuously Cast Billet and its Preparation

Jazyk

en

Originální abstrakt

The paper is concerned with fundamental analytical and empirical knowledge about the solidification of continuously cast steel billets having a square cross-section. Solidification and cooling of this billet and the heating of the mould is a very complicated problem of transient heat and mass transfer. The solving of such a problem is impossible without a numerical model of the temperature field, not only of the continuous casting itself, while it is being processed through the caster but of the mould as well. An original 3-D numerical off-line model of the temperature field of a billet has been developed and it is presented there. The model is based on an explicit finite difference method and it solves the Fourier-Kirchhoff partial differential equation. The latent heat of phase changes is incorporated into the model by means of the enthalpy method. The pre-processing mainly includes a complicated definition of boundary conditions, especially in the secondary cooling zone, and the determination of thermo-physical steel properties as functions of the temperature. The dependence of input data (thermo-physical properties and boundary conditions) on the temperature in a particular location on the billet makes the problem highly non-linear.

Anglický abstrakt

The paper is concerned with fundamental analytical and empirical knowledge about the solidification of continuously cast steel billets having a square cross-section. Solidification and cooling of this billet and the heating of the mould is a very complicated problem of transient heat and mass transfer. The solving of such a problem is impossible without a numerical model of the temperature field, not only of the continuous casting itself, while it is being processed through the caster but of the mould as well. An original 3-D numerical off-line model of the temperature field of a billet has been developed and it is presented there. The model is based on an explicit finite difference method and it solves the Fourier-Kirchhoff partial differential equation. The latent heat of phase changes is incorporated into the model by means of the enthalpy method. The pre-processing mainly includes a complicated definition of boundary conditions, especially in the secondary cooling zone, and the determination of thermo-physical steel properties as functions of the temperature. The dependence of input data (thermo-physical properties and boundary conditions) on the temperature in a particular location on the billet makes the problem highly non-linear.

BibTex

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@article{BUT137927,
author="Josef {Štětina} and František {Kavička} and Jaroslav {Katolický} and Tomáš {Mauder} and Lubomír {Klimeš}",
title="Numerical Off-line Model of Temperature Field of a Continuously Cast Billet and its Preparation",
annote="The paper is concerned with fundamental analytical and empirical knowledge about the solidification of continuously cast steel billets having a square cross-section. Solidification and cooling of this billet and the heating of the mould is a very complicated problem of transient heat and mass transfer.  The solving of such a problem is impossible without a numerical model of the temperature field, not only of the continuous casting itself, while it is being processed through the caster but of the mould as well. An original 3-D numerical off-line model of the temperature field of a billet has been developed and it is presented there. The model is based on an explicit finite difference method and it solves the Fourier-Kirchhoff partial differential equation. The latent heat of phase changes is incorporated into the model by means of the enthalpy method. The pre-processing mainly includes a complicated definition of boundary conditions, especially in the secondary cooling zone, and the determination of thermo-physical steel properties as functions of the temperature. The dependence of input data (thermo-physical properties and boundary conditions) on the temperature in a particular location on the billet makes the problem highly non-linear.",