Mathematical modeling of coupled turbulent flow and solidification in a single belt caster with electromagnetic brake

A mathematical model has been developed to simulate turbulent fluid flow and solidification in the presence of a DC magnetic field in an extended nozzle for metal delivery to a single belt caster. This paper reports on predicted effects of DC magnetic field conditions in modifying flows and solidifi...

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Published in:	Applied mathematical modelling Vol. 31; no. 8; pp. 1671 - 1689
Main Authors:	Reza Aboutalebi, M., Guthrie, R.I.L., Seyedein, S.H.
Format:	Journal Article
Language:	English
Published:	New York, NY Elsevier Inc 01-08-2007 Elsevier Science
Subjects:	Applied sciences Electromagnetic brake Exact sciences and technology Foundry engineering Metal delivery system Metals. Metallurgy Modeling Other casting methods. Solidification Production techniques Single belt caster Solidification Turbulent flow Turbulent flow Modeling Metal delivery system Electromagnetic brake Solidification Single belt caster Transport equation Turbulence Darcy law Continuous casting Finite volume method Coupled transport Cast steel Magnetic field effect Shell Porous medium flow Flow(fluid) Magnetic control Flow control Carbon steel Porosity Magnetic device
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Abstract	A mathematical model has been developed to simulate turbulent fluid flow and solidification in the presence of a DC magnetic field in an extended nozzle for metal delivery to a single belt caster. This paper reports on predicted effects of DC magnetic field conditions in modifying flows and solidification behavior in the metal delivery system. It is shown that the application of a DC magnetic brake to the proposed system can result in a reasonably uniform feeding of melt onto the cooled moving belt. This, in turn, optimises the rate of even shell growth along the chilled substrate. In order to account for the effects of turbulence, a revised low-Reynolds k– ε turbulent model was employed. A Darcy-porosity approach was used to simulate fluid flow within the mushy solidification region. Simulations were carried out for plain carbon steel strip casting. The fully coupled transport equations were numerically solved using the finite volume method. The computed flow patterns were compared with those reported in the literature. The performance of the magnetic flow control device proposed in this work is evaluated and compared with flow modifications obtained by inserting a ceramic filter within the reservoir.
AbstractList	A mathematical model has been developed to simulate turbulent fluid flow and solidification in the presence of a DC magnetic field in an extended nozzle for metal delivery to a single belt caster. This paper reports on predicted effects of DC magnetic field conditions in modifying flows and solidification behavior in the metal delivery system. It is shown that the application of a DC magnetic brake to the proposed system can result in a reasonably uniform feeding of melt onto the cooled moving belt. This, in turn, optimises the rate of even shell growth along the chilled substrate. In order to account for the effects of turbulence, a revised low-Reynolds k– ε turbulent model was employed. A Darcy-porosity approach was used to simulate fluid flow within the mushy solidification region. Simulations were carried out for plain carbon steel strip casting. The fully coupled transport equations were numerically solved using the finite volume method. The computed flow patterns were compared with those reported in the literature. The performance of the magnetic flow control device proposed in this work is evaluated and compared with flow modifications obtained by inserting a ceramic filter within the reservoir. A mathematical model has been developed to simulate turbulent fluid flow and solidification in the presence of a DC magnetic field in an extended nozzle for metal delivery to a single belt caster. This paper reports on predicted effects of DC magnetic field conditions in modifying flows and solidification behavior in the metal delivery system. It is shown that the application of a DC magnetic brake to the proposed system can result in a reasonably uniform feeding of melt onto the cooled moving belt. This, in turn, optimises the rate of even shell growth along the chilled substrate. In order to account for the effects of turbulence, a revised low-Reynolds k-epsilon turbulent model was employed. A Darcy-porosity approach was used to simulate fluid flow within the mushy solidification region. Simulations were carried out for plain carbon steel strip casting. The fully coupled transport equations were numerically solved using the finite volume method. The computed flow patterns were compared with those reported in the literature. The performance of the magnetic flow control device proposed in this work is evaluated and compared with flow modifications obtained by inserting a ceramic filter within the reservoir.
Author	Guthrie, R.I.L. Reza Aboutalebi, M. Seyedein, S.H.
Author_xml	– sequence: 1 givenname: M. surname: Reza Aboutalebi fullname: Reza Aboutalebi, M. organization: Department of Materials and Metallurgical Engineering, Iran University of Science and Technology, Tehran, Iran – sequence: 2 givenname: R.I.L. surname: Guthrie fullname: Guthrie, R.I.L. email: rod@mmpc.mcgill.ca organization: McGill Metals Processing Centre, Department of Metals and Materials Engineering, McGill University, 3610 University Street, M.H. Wong Building, Montreal, Que., Canada H3A 2A7 – sequence: 3 givenname: S.H. surname: Seyedein fullname: Seyedein, S.H. organization: Department of Materials and Metallurgical Engineering, Iran University of Science and Technology, Tehran, Iran
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Keywords	Turbulent flow Modeling Metal delivery system Electromagnetic brake Solidification Single belt caster Transport equation Turbulence Darcy law Continuous casting Finite volume method Coupled transport Cast steel Magnetic field effect Shell Porous medium flow Flow(fluid) Magnetic control Flow control Carbon steel Porosity Magnetic device
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SubjectTerms	Applied sciences Electromagnetic brake Exact sciences and technology Foundry engineering Metal delivery system Metals. Metallurgy Modeling Other casting methods. Solidification Production techniques Single belt caster Solidification Turbulent flow
Title	Mathematical modeling of coupled turbulent flow and solidification in a single belt caster with electromagnetic brake
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