Abstract
The quality of continuous-cast steel is greatly affected by the flow pattern in the mold, which depends mainly on the jets flowing from the outlet ports in casting with submerged tundish nozzles. An Eulerian multiphase model using the finite-difference program CFX has been applied to study the three-dimensional (3-D) turbulent flow of liquid steel with argon bubbles in slide-gate tundish nozzles. Part I of this two-part article describes the model formulation, grid refinement, convergence strategies, and validation of this model. Equations to quantify average jet properties at the nozzle exit are presented. Most of the gas exits the upper portion of the nozzle port, while the main downward swirling flow contains very little gas. Particle-image velocimetry (PIV) measurements are performed on a 0.4-scale water model to determine the detailed nature of the swirling velocity profile exiting the nozzle. Predictions with the computational model agree well with the PIV measurements. The computational model is suitable for simulating dispersed bubbly flows, which exist for a wide range of practical gas injection rates. The model is used for extensive parametric studies of the effects of casting operation conditions and nozzle design, which are reported in Part II of this two-part article.
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J. Herbertson, Q.L. He, P.J. Flint, R.B. Mahapatra: Steelmaking Conf. Proceedings, Vol. 74, (Washington, D.C., April 14–17, 1991), ISS, Warrendale, PA, 1991, pp. 171–85.
M. Burty, M. Larrecq, C. Pusse, and Y. Zbaczyniak: 13th PTD Conf., Nashville, TN, April 2–5, 1995, ISS, Warrendale, PA, 1995, vol. pp. 287–92.
Y.H. Wang: 10th Process Technology Conf., Toronto, April 5–8, 1992, ISS, Warrendale, PA, 1992, vol. 75, pp. 271–78.
D. Hershey, B.G. Thomas, and F.M. Najjar: Int. J. Num. Methods Fluids, 1993, vol. 17 (1), pp. 23–47.
B.G. Thomas and F.M. Najjar: Appl. Mathematical Modeling, 1991, vol. 15, pp. 226–43.
F.M. Najjar, B.G. Thomas, and D. Hershey: Metall. Mater. Trans. B, 1995, vol. 26B, pp. 749–66.
M. Yao: Modeling and Control of Casting and Welding Processes IV, TMS, Warrendale, PA, 1988, pp. 893–98.
S. Sivaramakrishnan, H. Bai, B.G. Thomas, P. Vanka, P. Dauby, and M. Assar: Ironmaking Conf. Proc., ISS, Warrendale, PA, 2000, vol. 59, pp. 541–57.
H.T. Tsai: “Water Modeling on Pressure Profile in the Tundish Shroud at Flo-Con”, Report, Inland Steel, East Chicago, IN, 1986.
L.J. Heaslip, I.D. Sommerville, M.A. Swartz, and W.G. Wilson: Trans. ISS (Iron Steelmaker), 1987, Aug., pp. 49–64.
U. Sjöström, M. Burty, A. Gaggioli, and J. Radot: 81st SteelMaking Conf., Toronto, ISS, Warrendale, PA, 1998, vol. 81, pp. 63–71.
D. Mazumdar and R.I.L. Guthrie: Iron Steel Inst. Jpn., 1995, vol. 35 (1), pp. 1–20.
M. Neifer, S. Rödl, and D. Sucker: Steel Res., 1993, vol. 64 (1), pp. 54–62.
N. Bessho, R. Yoda, H. Yamasaki, T. Fujii, T. Nozaki, and S. Takatori: Trans. ISS (Iron Steelmaker), 1991, vol. 18 (4), pp. 39–44.
B.G. Thomas, X. Huang, and R.C. Sussman: Metall. Mater. Trans. B, 1994, vol. 25B, pp. 527–47.
B.G. Thomas, A. Dennisov, and H. Bai: 80th Steelmaking Conf., Chicago, April 14–17, 1991, ISS, Warrendale, PA, 1997, pp. 375–84.
B.G. Thomas and X. Huang: 76th Steelmaking Conf., Dallas, TX, March 28–31, 1993, ISS, Warrendale, PA, 1993, vol. 76, pp. 273–89.
CFX4.2 Users Manual, AEA Technology, Pittsburgh, PA, 1997.
X. Huang and B.G. Thomas: Can. Metall. Q., 1998, vol. 37 (304), pp. 197–212.
C.W. Hirt and B.D. Nichols: J. Comp. Phys., 1981, vol. 39, pp. 201–25.
T. Hong, C. Zhu, and L.-S. Fan: 1996 ASME Fluids Division Conf., 1996, vol. FED 236, pp. 581–88.
D. Creech: Master’s Thesis, University of Illinois at Urbana-Champaign, Urbana, IL, 1999.
B.E. Launder and D.B. Spalding: Comp. Meth. Appl. Mech. Eng., 1974, vol. 13, pp. 269–89.
R. Clift, J.R. Grace, and M.E. Weber: Bubbles, Drops, and Particles, Academic Press Inc., New York, NY, 1978.
K.Y.M. Lai and M. Salcudean: Comp. Fluids, 1987, vol. 15 (3), pp. 281–95.
H. Bai and B.G. Thomas: 83rd Steelmaking Conf., Pittsburgh, PA, March 26–29, 2000, ISS, Warrendale, PA, 2000, vol. 83, pp. 183–97.
H. Bai: Ph.D. Thesis, University of Illinois at Urbana-Champaign, Urbana, IL, 2000.
FlowMap PIV Installation & User’s Guide, V. 2.01, Dantec_Flow_Technology, Mahwah, NJ, 1998.
A.W. Cramb and I. Jimbo: ISS Trans., 1990, vol. 11, pp. 67–79.
Z. Wang, K. Mukai, and D. Izu: Iron Steel Inst. Jpn. Int., 1999, vol. 39 (2), pp. 154–63.
Computational Fluid Dynamics Software—FLUENT User’s Guide, FLUENT Inc., Lebanon, NH, 1995.
K.G. Rackers and B.G. Thomas: 78th Steelmaking Conf., ISS, Warrendale, PA, 1995, pp. 723–34.
C.F. Beaton and G.F. Hewitt: Physical Properties Data for the Chemical and Mechanical Engineer, Hemisphere Publishing Co., New York, NY, 1989.
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Bai, H., Thomas, B.G. Turbulent flow of liquid steel and argon bubbles in slide-gate tundish nozzles: Part I. model development and validation. Metall Mater Trans B 32, 253–267 (2001). https://doi.org/10.1007/s11663-001-0049-z
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DOI: https://doi.org/10.1007/s11663-001-0049-z