# American Institute of Mathematical Sciences

October  2007, 8(3): 695-706. doi: 10.3934/dcdsb.2007.8.695

## Modelling of turbulent flow and multi-phase heat transfer under electromagnetic force

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

Received  August 2006 Revised  May 2007 Published  July 2007

In this paper, we develop a mathematical model and a numerical technique to study the coupled turbulent flow and heat transfer process in continuous steel casting under an electromagnetic force. The complete set of field equations are established and solved numerically. The influences of the electromagnetic field on a flow pattern of molten steel and the temperature field as well as steel solidification are presented in the paper.
Citation: Yong Hong Wu, B. Wiwatanapataphee. Modelling of turbulent flow and multi-phase heat transfer under electromagnetic force. Discrete and Continuous Dynamical Systems - B, 2007, 8 (3) : 695-706. doi: 10.3934/dcdsb.2007.8.695
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