The flow patterns prevailing at the free-surface in a water model of a slab continuous casting mold using several water flow rates and entry nozzle submergence depths are experimentally and numerically studied in this work. The experimental study was carried out using an one-third scale cold water model, constructed in accordance with the Froude similarity criterion. Water level measurements were carried out with ultrasonic distance sensors and recorded in a computer. Numerical simulations were made with a commercial computational fluid dynamics software. It was found that free-surface oscillations are composed by several periodic components. There exists a fundamental periodic frequency of 1.2 Hz. Besides, there exist two other frequencies of 1.8 and 2.1 Hz whose contribution to the free surface dynamic behavior depend on the spatial position and on the process parameters, namely, the volumetric flow rate and the submerged entry nozzle (SEN) submergence depth. In accordance with the obtained results, several recommendations about operating policies of actual industrial casters are made.KEY WORDS: free surface velocity; mold flow; power density spectrum; slab continuous casting; submerged entry nozzle.well-known Navier-Stokes equations, which in vectorial form are expressed as follows 8,10) Given that the experiments are carried out isothermally, the energy equation is not considered. The K-e turbulence model was selected for mathematical modeling, which is described by the following expressions: ... (4) In the above equations K is the turbulent kinetic energy, e is dissipation rate of K. s K , s e , C 1 and C 2 are constants whose values are 1.0, 1.3, 1.44 and 1.92 respectively.8) The fluid viscosity must be corrected for turbulence in the Navier-Stoke equations employing an effective viscosity m eff ϭm l ϩm t , where m l is the laminar viscosity and m t is the turbulent viscosity. The latter can be determined as follows: (5) where C m ϭ0.09 is a constant. The boundary conditions in the mathematical model were those recommended by Thomas et al. 8) and are as follows: Inlet turbulence parameters at the inlet were Kϭ0.044 m 2 s Ϫ2 and eϭ1.00 m 2 s
Ϫ3. At the outlet, the boundary condition was fixed in such a way that the mass balance was satisfied.A commercial CFD software was employed for numerical solving of the above mathematical model. A two-dimensional mesh with 32 500 nodes was created with a time step of 0.001 s. A personal computer with 1 GB of RAM memory and 3.0 GHz CPU was utilized for the numerical simulations. A run for 70 s of real time required a CPU time of approximately 5 h. In order to track the free surface profile, two-phase flow was considered and the Volume-of-fluid (VOF) model 10) was chosen for tracking of the air-water interface.
Physical ModelingA plastic one-third scale water model was designed and constructed in accordance with the Froude similarity criterion. Froude criterion guarantees that the water model is similar to the industrial caster mold from the geometrical and dynamical...