Publication detail
Numerical Off-line Model of Temperature Field of a Continuously Cast Billet and its Preparation
ŠTĚTINA, J. KAVIČKA, F. KATOLICKÝ, J. MAUDER, T. KLIMEŠ, L.
English title
Numerical Off-line Model of Temperature Field of a Continuously Cast Billet and its Preparation
Type
journal article - other
Language
en
Original abstract
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.
English abstract
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.
Keywords in English
continuously cast billet; temperature field; discretization; initial and boundary conditions; thermo-physical properties; experimental measurement; simulation; numerical model; off-line and on-line version
Released
01.05.2017
Publisher
OCELOT s.r.o.
Location
Ostrava - Vítkovice
ISSN
0018-8069
Volume
70
Number
3
Pages from–to
4–17
Pages count
14
BIBTEX
@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",
year="2017",
volume="70",
number="3",
month="May",
pages="4--17",
publisher="OCELOT s.r.o.",
address="Ostrava - Vítkovice",
issn="0018-8069"
}