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Mathematical and Physical Modeling of Three-Phase Gas-Stirred Ladles

Published online by Cambridge University Press:  01 March 2016

Juan A. López
Affiliation:
National Autonomous University of Mexico, School of Chemistry, Building D, Circuito de los Institutos s/n, Cd. Universitaria, Del. Coyoacán, C.P. 04510, México D.F., México
Marco A. Ramírez-Argáez
Affiliation:
National Autonomous University of Mexico, School of Chemistry, Building D, Circuito de los Institutos s/n, Cd. Universitaria, Del. Coyoacán, C.P. 04510, México D.F., México
Adrián M. Amaro-Villeda
Affiliation:
National Autonomous University of Mexico, School of Chemistry, Building D, Circuito de los Institutos s/n, Cd. Universitaria, Del. Coyoacán, C.P. 04510, México D.F., México
Carlos González
Affiliation:
National Autonomous University of Mexico, School of Chemistry, Building D, Circuito de los Institutos s/n, Cd. Universitaria, Del. Coyoacán, C.P. 04510, México D.F., México
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Abstract

A very realistic 1:17 scale physical model of a 140-ton gas-stirred industrial steel ladle was used to evaluate flow patterns measured by Particle Image Velocimetry (PIV), considering a three-phase system (air-water-oil) to simulate the argon-steel-slag system and to quantify the effect of the slag layer on the flow patterns. The flow patterns were evaluated for a single injector located at the center of the ladle bottom with a gas flow rate of 2.85 l/min, with the presence of a slag phase with a thickness of 0.0066 m. The experimental results obtained in this work are in excellent agreement with the trends reported in the literature for these gas-stirred ladles. Additionally, a mathematical model was developed in a 2D gas-stirred ladle considering the three-phase system built in the physical model. The model was based on the Eulerian approach in which the continuity and the Navier Stokes equations are solved for each phase. Therefore, there were three continuity and six Navier-Stokes equations in the system. Additionally, turbulence in the ladle was computed by using the standard k-epsilon turbulent model. The agreement between numerical simulations and experiments was excellent with respect to velocity fields and turbulent structure, which sets the basis for future works on process analysis with the developed mathematical model, since there are only a few three-phase models reported so far in the literature to predict fluid dynamics in gas-stirred steel ladles.

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Articles
Copyright
Copyright © Materials Research Society 2016 

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References

Mazumdar, D. and Guthrie, R. I. L., ISIJ Int. 35, 120 (1995).CrossRef
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Amaro-Villeda, A.M., Ramírez-Argáez, M.A. and Conejo, A.N., ISIJ Int. 54, 18 (2014).CrossRef
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Launder, B.E. and Spalding, D.B., Comp. Meth. Appl. Mech. Eng. 3, 269289 (1974).CrossRef

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