Numerical simulation of two-fluid flow and meniscus      interface movement in the electromagnetic continuous steel casting process

B. Wiwatanapataphee; Theeradech Mookum; Yong Hong Wu

doi:10.3934/dcdsb.2011.16.1171

Article Contents

2011, Volume 16, Issue 4: 1171-1183. Doi: 10.3934/dcdsb.2011.16.1171

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Numerical simulation of two-fluid flow and meniscus interface movement in the electromagnetic continuous steel casting process

1.
Department of Mathematics, Faculty of Science, Mahidol University, 272 Rama 6 Road, Bangkok, ZIP 10400
2.
Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, 10400
3.
Department of Mathematics and Statistics, Curtin University of Technology, GOP Box U1987, Perth, WA 6845

Received: September 30, 2010

Revised: April 30, 2011

Published: May 2011

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Abstract

This paper presents a mathematical model and numerical technique for simulating the two-fluid flow and the meniscus interface movement in the electromagnetic continuous steel casting process. The governing equations include the continuity equation, the momentum equations, the energy equation, the level set equation and two transport equations for the electromagnetic field derived from the Maxwell's equations. The level set finite element method is applied to trace the movement of the interface between different fluids. In an attempt to optimize the casting process, the technique is then applied to study the influences of the imposed electromagnetic field and the mould oscillation pattern on the fluid flow, the meniscus shape and temperature distribution.

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Mathematics Subject Classification: Primary: 74A50; Secondary: 74S05.

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