Finite element modelling of turbulent fluid flow and heat transfer in continuous casting

Brian G. Thomas; Fady M. Najjar

doi:10.1016/0307-904X(91)90001-6

Finite element modelling of turbulent fluid flow and heat transfer in continuous casting

Brian G. Thomas, Fady M. Najjar

Research output: Contribution to journal › Article › peer-review

Abstract

A two-dimensional finite element model has been developed to analyze turbulent, steady-state fluid flow and heat transfer within the liquid pool of a continuous steel-slab-casting machine, using the CFD code FIDAP. This high Reynolds number problem is often prone to instability in solving the finite element equations. To help provide guidelines for achieving convergence to a good solution for problems of this type, various solution strategies, relaxation factors, and meshes have been investigated. The effect of various numerical modelling parameters on the flow and temperature solutions are also investigated. These include, in particular, the boundary conditions for K and ε{lunate} inlet conditions and wall laws and the turbulent Prandtl number. Finally, the predicted flow patterns and velocity fields show reasonable agreement with experimental observations and measurements conducted by using a Plexiglas water model, and the predicted heat flux profiles closely match previous measurements.

Original language	English (US)
Pages (from-to)	226-243
Number of pages	18
Journal	Applied Mathematical Modelling
Volume	15
Issue number	5
DOIs	https://doi.org/10.1016/0307-904X(91)90001-6
State	Published - May 1991
Externally published	Yes

Keywords

K-ε{lunate} model
computer simulation methods
continuous casting
convergence
finite element
fluid flow
steel
superheat
turbulence
wall laws

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

Online availability

10.1016/0307-904X(91)90001-6

Library availability

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Cite this

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title = "Finite element modelling of turbulent fluid flow and heat transfer in continuous casting",

abstract = "A two-dimensional finite element model has been developed to analyze turbulent, steady-state fluid flow and heat transfer within the liquid pool of a continuous steel-slab-casting machine, using the CFD code FIDAP. This high Reynolds number problem is often prone to instability in solving the finite element equations. To help provide guidelines for achieving convergence to a good solution for problems of this type, various solution strategies, relaxation factors, and meshes have been investigated. The effect of various numerical modelling parameters on the flow and temperature solutions are also investigated. These include, in particular, the boundary conditions for K and ε{lunate} inlet conditions and wall laws and the turbulent Prandtl number. Finally, the predicted flow patterns and velocity fields show reasonable agreement with experimental observations and measurements conducted by using a Plexiglas water model, and the predicted heat flux profiles closely match previous measurements.",

keywords = "K-ε{lunate} model, computer simulation methods, continuous casting, convergence, finite element, fluid flow, steel, superheat, turbulence, wall laws",

author = "Thomas, {Brian G.} and Najjar, {Fady M.}",

note = "Funding Information: The authors wish to express thanks to Inland Steel Company, ARMCO, Inc., and the National Science Foundation (Grant #MSM-8957195f)o r supporto f this research.A dditionalt hanksa re extendedt o Inland Steel and ARMCO, Inc. for the use of physical water modelling facilities and the provision of relevant industrial data. Acknowledgmenti s given to the National Center for SupercomputingA pplications at the University of Illinois for providing time on the Cray X/MP 48. Finally, the authors are grateful to Larry Mika for im-portante arly contributionst o this project and to Fluid DynamicsI nternationalI nc. and Vahe Haroutunianf or help with the FIDAP program.",

year = "1991",

month = may,

doi = "10.1016/0307-904X(91)90001-6",

language = "English (US)",

volume = "15",

pages = "226--243",

journal = "Applied Mathematical Modelling",

issn = "0307-904X",

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AU - Thomas, Brian G.

AU - Najjar, Fady M.

N1 - Funding Information: The authors wish to express thanks to Inland Steel Company, ARMCO, Inc., and the National Science Foundation (Grant #MSM-8957195f)o r supporto f this research.A dditionalt hanksa re extendedt o Inland Steel and ARMCO, Inc. for the use of physical water modelling facilities and the provision of relevant industrial data. Acknowledgmenti s given to the National Center for SupercomputingA pplications at the University of Illinois for providing time on the Cray X/MP 48. Finally, the authors are grateful to Larry Mika for im-portante arly contributionst o this project and to Fluid DynamicsI nternationalI nc. and Vahe Haroutunianf or help with the FIDAP program.

PY - 1991/5

Y1 - 1991/5

N2 - A two-dimensional finite element model has been developed to analyze turbulent, steady-state fluid flow and heat transfer within the liquid pool of a continuous steel-slab-casting machine, using the CFD code FIDAP. This high Reynolds number problem is often prone to instability in solving the finite element equations. To help provide guidelines for achieving convergence to a good solution for problems of this type, various solution strategies, relaxation factors, and meshes have been investigated. The effect of various numerical modelling parameters on the flow and temperature solutions are also investigated. These include, in particular, the boundary conditions for K and ε{lunate} inlet conditions and wall laws and the turbulent Prandtl number. Finally, the predicted flow patterns and velocity fields show reasonable agreement with experimental observations and measurements conducted by using a Plexiglas water model, and the predicted heat flux profiles closely match previous measurements.

AB - A two-dimensional finite element model has been developed to analyze turbulent, steady-state fluid flow and heat transfer within the liquid pool of a continuous steel-slab-casting machine, using the CFD code FIDAP. This high Reynolds number problem is often prone to instability in solving the finite element equations. To help provide guidelines for achieving convergence to a good solution for problems of this type, various solution strategies, relaxation factors, and meshes have been investigated. The effect of various numerical modelling parameters on the flow and temperature solutions are also investigated. These include, in particular, the boundary conditions for K and ε{lunate} inlet conditions and wall laws and the turbulent Prandtl number. Finally, the predicted flow patterns and velocity fields show reasonable agreement with experimental observations and measurements conducted by using a Plexiglas water model, and the predicted heat flux profiles closely match previous measurements.

KW - K-ε{lunate} model

KW - computer simulation methods

KW - continuous casting

KW - convergence

KW - finite element

KW - fluid flow

KW - steel

KW - superheat

KW - turbulence

KW - wall laws

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Finite element modelling of turbulent fluid flow and heat transfer in continuous casting

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ASJC Scopus subject areas

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