2007
DOI: 10.1002/ceat.200700130
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Magnetic Field, Flow Field and Inclusion Collision Growth in a Continuous Caster with EMBR

Abstract: A three-dimension mathematical model has been developed to describe the magnetic field, fluid flow and inclusion transport in a continuous caster with electromagnetic brake (EMBR). According to the model, all the governing equations can be expressed as a general differential equation, so a general numerical method was developed to solve these equations. The numerical results agree well with the experimental result. In the continuous caster, the inclusion distributions have 'M' shape under the nozzle and 'W' sh… Show more

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Cited by 9 publications
(4 citation statements)
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References 20 publications
(24 reference statements)
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“…Specifically, the pressure, kinetic energy, kinetic energy dissipation rate, temperature, solute concentration, and electric potential were evaluated at the grid node while the velocity components, magnetic flux components, and current density components were defined at the interface between the grid nodes. The numerical procedure to predict the magnetic field, flow field, temperature field, solute concentration field, and induced current field is a variant of a pressure correction technique called SIMPLE [22,23]. The discretized equations were solved by using the tri-diagonal matrix algorithm coupled with the Gauss-Siedel routine.…”
Section: General Solution Methodsmentioning
confidence: 99%
“…Specifically, the pressure, kinetic energy, kinetic energy dissipation rate, temperature, solute concentration, and electric potential were evaluated at the grid node while the velocity components, magnetic flux components, and current density components were defined at the interface between the grid nodes. The numerical procedure to predict the magnetic field, flow field, temperature field, solute concentration field, and induced current field is a variant of a pressure correction technique called SIMPLE [22,23]. The discretized equations were solved by using the tri-diagonal matrix algorithm coupled with the Gauss-Siedel routine.…”
Section: General Solution Methodsmentioning
confidence: 99%
“…................... (6) where s represents the interfacial free energy between nuclei and molten steel, and the change of the free energy per (8) and S is the supersaturation degree [14][15][16][17][18] ........ (9) Here, the subscripts 'ss' and 'eq' mean a supersaturation state and 'eq' means an equilibrium state, respectively.…”
Section: Thermodynamics Of Homogeneous Nucleationmentioning
confidence: 99%
“…Based on the Smoluchowski's model, Miki et al 5) and Zhang et al 6) simulated inclusion agglomeration and removal in different metallurgical reactors, and Nakaoka et al 7) proposed particle-size-grouping (PSG) method and studied the fractal dimension of agglomeration. On the base of particle's mass-population conservation model and stochastic collision model, Lei et al 8,9) studied spatial distribution of alumina inclusions and its dynamic fractal-growth process in the continuous casting mold. Among previous mathematical models, a general nucleation-growth model is perhaps the most attractive because it can predict the time-dependent particle size distribution of inclusions in molten steel, and usually PSG method is introduced to speed up the solution for population balance equations according to Zhang et al 10,11) However, in the current nucleation-growth model, the diffusion coefficient of a molecule is assigned to take the same value of the diffusion coefficient of oxygen in the molten steel, 10,11) and the predicted number density is far (10 to 100 times) greater than the experimental data.…”
Section: Introductionmentioning
confidence: 99%
“…48 Ö ËÛ ¦ ×, ª Ó ½ [1−7] . , Thomas [8] ¯ Ò µÀAE º Õ Ó AE ±, ¶ Ñ Ç º Ç ± ; Lei [9] ² º ´ ¶Ð Å ÂÔAE Ñ Ç ¿ Å ¢ µ À ³Âª É ; Garcia-Hernandez [10] ÕÓ Ñ Ç Ö ¢ ¾© ¢ Å µÊÖ Û © Ñ Ç ¿ AE Ô . Ǭ [11−19] Ù£ º , Ò ÀAE º Ù Ù .…”
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