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Numerical Modeling of Inclusion Removal in Electromagnetic Stirred Steel Billets
Authors:Leonardo B. Trindade  José Ernesto A. Nadalon  Antǒnio C. F. Vilela  Marco T. M. B. Vilhena  Rodrigo B. Soares
Affiliation:1. Science Technology & Engineering (STE), Av. Bento Gon?alves 9500, Cx. P. 15021, Porto Alegre, RS, Brasil, CEP 91501‐970;2. Laboratório de Siderurgia (LASID), Centro de Tecnologia, Escola de Engenharia, Universidade Federal do Rio Grande do Sul (UFRGS), Av. Bento Gon?alves 9500, Cx. P. 15021, Porto Alegre, RS, Brasil, CEP 91501‐970;3. Instituto de Matemática (IM), Universidade Federal do Rio Grande do Sul (UFRGS), Av. Bento Gon?alves 9500, Porto Alegre, RS, Brasil, CEP 91509‐900;4. Gerdau A?os Especiais Piratini, Av. Getúlio Vargas 3200, Charqueadas, RS, Brasil, CEP 96745‐000
Abstract:To investigate the inclusion removal in billets cast under electromagnetic stirring (EMS) influence, a numerical model has been developed to compute the magnetic field, the Lorentz force, the steel flow velocities, and the particle transport within the liquid pool. The electromagnetic field was described by the Maxwell equations and the finite element method was applied using a commercial package. The turbulent fluid flow was described by the Navier‐Stokes equation and by the Reynolds Stress model and the finite volume method was applied using another numerical package. The time average of the Lorentz force was calculated in each element center and this value was applied as a body force in the Navier‐Stokes equation. The magnetic flux density profile was compared with the data obtained in the stirrer of the steel plant. The particle transport model includes the drag force, the buoyancy force and the random walk model, to include the turbulence effects on the particle trajectory. The inclusion removal was calculated and analysed in function of casting speed and stirring current for one size section of mold. The inclusions considered in the calculations have a fixed density and four values of diameter. The numerical results of the electromagnetic model are in agreement with the experimental measurements. A good relationship between the electromagnetic model and the fluid flow model could be shown. An interesting effect is the break of the rotation motion due to the EMS by the jet from the nozzle. The fraction of inclusions removed by the top surface of the mold was improved due to the EMS.
Keywords:electromagnetic stirring  continuous casting of billets  inclusion behavior and removal  computational fluid dynamics (CFD)  Lagrangian formulation  finite element model applied to electromagnetic phenomena
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