Abstract
An in-house computer code, METFLO 3D, which can model three-dimensional (3-D) turbulent flow, heat transfer, and inclusion flotation, has been developed for steelmaking tundishes. Also, sensor equipment has been developed for the continuous detection of particles suspended in aqueous systems. The probe, based on the resistive pulse principle, withdraws a continuous sample of the feed water to be monitored. A full-scale (isothermal) water model tundish (Stelco Research Centre, Burlington, Canada) was used to test experimental data on particle separation within the tundish. These experimental data were compared with predictions calculated by the mathematical model developed for tundish flows, and satisfactory agreement was achieved.
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Abbreviations
- C :
-
mass fraction of inclusions ch channel number on multichannel amplifier
- d :
-
inclusion/particle diameter
- G :
-
generation of turbulence kinetic energy
- g :
-
gravity acceleration constant
- k :
-
turbulent kinetic energy
- k(T) :
-
a resistance constant
- L c :
-
distance between inlet and outlet nozzles
- N in :
-
number density of inclusions at the inlet nozzle
- N out :
-
number density of particles at the outlet nozzle
- P :
-
pressure
- Q :
-
volumetric flow rate of fluid
- R :
-
residual ratio of inclusion particles
- R nozzle :
-
radius of inlet nozzle
- T :
-
temperature
- t :
-
time
- u s :
-
Stokes rising velocity of particles/inclusions
- ε:
-
dissipation rate of turbulent kinetic energy
- Θ e :
-
effective diffusivity
- μ :
-
laminar viscosity
- μeff :
-
effective turbulent viscosity
- μ t :
-
turbulent viscosity
- ρ :
-
density of fluid (water/molten steel)
- Δρ:
-
density difference between fluid and particle
- σ C :
-
laminar Schmidt number
- σ T :
-
laminar Prandtl number
- σ t, C :
-
turbulent Schmidt number
- σ t, T :
-
turbulent Prandtl number
References
F. Kemeny, D.J. Harris, A. McLean, T.R. Meadowcroft, and J.D. Young:Fluid Flow Studies in the Tundish of a Slab Caster, Proc. 2nd Process Technology Conf., Chicago, IL, ISS-AIME, Warrendale, PA, 1981, pp. 232–45.
D.J. Harris and J.D. Young:Continuous Casting, ISS-AIME, Warrendale, PA, 1983, vol. 1, pp. 99–112.
M. Hashio, M. Tokuda, M. Kawasaki, and T. Watanabe:Improvement of Cleanliness in Continuously Cast Slabs at Kashima Steel Works, Proc. 2nd Process Technology Conf., Chicago, IL, ISS-AIME, Warrendale, PA, 1981, pp. 65–73.
J. Knoepke and J. Mastervich:Steelmaking Proc, 1986, vol. 69, pp. 777–88.
S. Tanaka and R.I.L. Guthrie:Proc. Japan-Canada Seminar on Secondary Steelmaking, Tokyo, Japan, Dec. 1985, paper no. C3.
H. Nakajima: Ph.D. Thesis, McGill University, Montreal, 1987.
J. Szekely and N. El-Kaddah:Steelmaking Proc, 1986, vol. 69, pp. 761–76.
K.Y.M. Lai, M. Salcudean, S. Tanaka, and R.I.L. Guthrie:Metall. Trans. B, 1986, vol. 17B, pp. 449–59.
Y. He and Y. Sahai:Metall. Trans. B, 1987, vol. 18B, pp. 81–92.
S. Joo and R.I.L. Guthrie:Can. Metall. Q., 1991, vol. 30 (4), pp. 261–69.
K.H. Tacke and J.C. Ludwig:Steel Res., 1987, vol. 58 (6), pp. 262–69.
R.I.L. Guthrie, S. Joo, and H. Nakajima:Mathematical Models and Sensors as an Aid to Steel Quality Assurance for Direct Rolling Operations, Proc. Int. Symp. on Direct Rolling and Hot Charging of Strand Cast Billets, CIM, Montreal, 1988, Pergamon Press, Elmsford, NY, 1988, vol. 10, pp. 193–212.
D.A. Doutre and R.I.L. Guthrie: inProc. Int. Seminar on Refining and Ferroalloys, T.A. Engh, S. Lyng, and H.A. øye, eds., Aluminium-Verlag, Dusseldorf, 1985, pp. 147–61.
F. Sebo, F. Dallaire, S. Joo, and R.I.L. Guthrie:On-Line Sizing and Monitoring of Particles Suspended in Aqueous Solutions, Proc. Int. Symp. on Production and Processing of Fine Particles, CIM, Montreal, 1988, pp. 103–10.
S. Joo: Ph.D. Thesis, McGill University, Montreal, 1989.
W.P. Jones and B.E. Launder:Int. J. Heat Mass Transfer, 1972, vol. 15, pp. 301–03.
B.E. Launder and D.B. Spalding:Comp. Meth. Appl. Mech. Eng., 1974, vol. 3, pp. 269–89.
S.V. Patankar:Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York, NY, 1980.
W.H. Coulter: U.S. Patent No. 112819, Oct. 20, 1953.
R.W. DeBlois, C.P. Bean, and R.K.A. Wesley:J. Colloid Interface Sci., 1977, vol. 61, pp. 323–35.
R.I.L. Guthrie:Engineering in Process Metallurgy, 2nd ed., Oxford University Press, Oxford, United Kingdom, 1992.
Y. Sahai and S. Chakraborty:Importance of Thermal Modelling in Continuous Casting Tundishes, Proc. 10th Process Technology Conf., Toronto, ISS-AIME, Warrendale, PA, 1992, pp. 161–76.
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Formerly Doctoral Candidate, Department of Mining and Metallurgical Engineering, McGill Metals Processing Centre, McGill University.
Macdonald Professor of Metallurgy
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Joo, S., Guthrie, R.I.L. Inclusion behavior and heat-transfer phenomena in steelmaking tundish operations: Part I. Aqueous modeling. Metall Trans B 24, 755–765 (1993). https://doi.org/10.1007/BF02663136
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DOI: https://doi.org/10.1007/BF02663136