IJPAM: Volume 26, No. 3 (2006)

FINITE ELEMENT ANALYSIS OF TURBULENT FLOW
OF MOLTEN STEEL IN TUNDISH VESSELS

B. Wiwatanapataphee$^1$, S. Kongnual$^2$, Y.H. Wu$^3$
$^{1,2}$Department of Mathematics
Faculty of Science
Mahidol University
Bangkok, 10400, THAILAND
$^1$e-mails: scbww@mahidol.ac.th
$^2$e-mail: suputchara@yahoo.com
$^{3}$Department of Mathematics and Statistics
Curtin University of Technology
GPO Box U 1987, Perth, WA6845, AUSTRALIA
e-mail: yhwu@maths.curtin.edu.au


Abstract.In this paper, a three-dimensional mathematical model is developed to simulate the flow pattern of molten steel in tundish vessels. The flow in tundish is turbulent and the $k-\epsilon$ model is used to describe the turbulence of the flow. The governing equations include the continuity equation, the Navier-Stokes equations and two transport equations for the turbulence kinetic energy and turbulence dissipation rate. These equations are solved for the case of a large scale industrial tundish using a numerical algorithm based on the Galerkin finite element method. The effect of various system parameters and conditions on flow behaviour is investigated.

Received: January 23, 2006

AMS Subject Classification: 65N30

Key Words and Phrases: continuous casting, tundish, finite element method, turbulent flow

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 26
Issue: 3