A computer program has been developed for analyzing the three-dimensional, steady conservation equations for transport phenomena in a slab continuous casting process with Electromagnetic Brake (EMBr) to investigate the effect of EMBr on the turbulent melt-flow, temperature fields, and macroscopic solidification of the molten metal. The enthalpy-porosity relation was employed to suppress the velocity within a mushy region. A revised low-Reynolds number k-e turbulence model was used to consider the turbulent effects. The electromagnetic field was described by Maxwell equations. The application of EMBr to the mold region results in the decrease of the transfer of superheat to the narrow face, the increase of temperature in freesurface region and most part of the melt of submold region, and the higher temperature gradients near the solidifying shell. The increasing magnetic flux density has effect mainly on the surface temperature of the solidifying shell at the narrow face, hardly on that at the wide face. It is seen that in the presence of EMBr, a thicker solidifying shell is obtained at the narrow face of slab.KEY WORDS: numerical simulation; turbulent flow; macroscopic solidification; electromagnetic brake (EMBr); continuous casting (CC) process.In the present study, a three-dimensional analysis of the coupled turbulent flow, solidification, and induced electric field in a slab CC process with EMBr system, is performed using a developed computer program. And based on the corresponding results, the velocity and temperature distributions are investigated. The suppression effects of velocity in phase-change zone are considered depending on a porosity-enthalpy relationship. The turbulent characteristics of melt-flow in the liquid region are taken into account using a revised version of low-Reynolds number k-e turbulence model by Launder and Sharma.
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TheoryIn a commercial continuous caster, the melt is fed through a submerged nozzle from tundish into a vibrating, water-cooled mold. The jet-flow of melt is suppressed by an electromagnetic force due to the EMBr system applied to the mold. The melt from which sufficient heat is extracted by the mold, forms a solidified shell, and moves down into secondary cooling zones by water spray. This study is interested in the vertical part only of the continuous caster, composed of the vertical and curved parts. A schematic diagram of slab caster with EMBr system is shown in Fig. 1(a). The computational domain shown in Fig. 1(b) is chosen based on the symmetry of caster shape displayed in Fig. 1(a). A circular shape of nozzle is assumed to be the rectangular cross-sectional flow-area with an equivalent hydraulic diameter.
Mathematical ModelIn a commercial scale of CC process, the melt-flow fed into the caster through a bifurcated SEN has the characteristics of turbulent flow. Standard k-e model of turbulence is especially applicable to the flow regions with high turbulent Reynolds number Re t ϭrk 2 /me and cannot be applied near the solid walls, where the viscous effects bec...