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Interface-Resolved Simulation of Bubbles–Metal–Slag Multiphase System in a Gas-Stirred Ladle

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Abstract

A grid-filtered scale interface-resolved volume of fluid (VoF) model coupling a sub-grid scale large eddy simulation (LES) was used to directly simulate bubble behavior and the evolution of multiphase interfaces and free surfaces in a bubble–metal–slag multiphase system. The model has been applied to an industrial 150-ton gas-stirred ladle. The results show transient behavior of the slag eye, with large variations over time of the eye size. Bubble detachment frequency and rise characteristics (including coalescence and breakup) directly affect the size, position and variation of the slag eye. The effects of the argon flow rate, slag thickness, slag viscosity, and slag–steel interfacial energy were investigated; the latter two have little effect. The calculated average slag eye size agrees with previously reported results for industrial ladles. A new correlation for the time-averaged slag eye area, based on the modified Froude number, is proposed for industrial ladles.

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References

  1. D. Mazumdar, J.W. Evans, Modelling of Steelmaking Process (CRC Press, Boca Raton, 2009).

    Book  Google Scholar 

  2. D. Sichen, Steel Res. Int. 83, 825–841 (2012)

    Article  Google Scholar 

  3. G. Irons, A. Senguttuvan, K. Krishnapisharody, ISIJ Int. 55, 1–6 (2015)

    Article  CAS  Google Scholar 

  4. D. Mazumdar, R.I.L. Guthrie, ISIJ Int. 35, 1–20 (1995)

    Article  CAS  Google Scholar 

  5. D. Mazumdar, J.W. Evans, ISIJ Int. 44, 447–461 (2004)

    Article  CAS  Google Scholar 

  6. L.F. Zhang, S. Taniguchi, Int. Mater. Rev. 45, 59–82 (2000)

    Article  CAS  Google Scholar 

  7. Y. Liu, M. Ersson, H. Liu, P.G. Jonsson, Y. Gan, Metall. Trans. B 50B, 555–577 (2019)

    Article  Google Scholar 

  8. K. Yonezawa, K. Schwerdtfeger, Metall. Mater. Trans. B 30B, 411–418 (1999)

    Article  CAS  Google Scholar 

  9. S. Kim, R. Fruehan, Metall. Trans. B 18B, 381–390 (1987)

    Article  CAS  Google Scholar 

  10. Y. Xie, F. Oeters, Steel Res. Int. 63, 93–104 (1992)

    Article  CAS  Google Scholar 

  11. Y. Xie, S. Orsten, F. Oeters, ISIJ Int. 32, 66–75 (1992)

    Article  CAS  Google Scholar 

  12. A. Conejo, S. Kitamura, N. Maruoka, S. Kim, Metall. Mater. Trans. B 44B, 914–923 (2013)

    Article  Google Scholar 

  13. D. Mazumdar, D. Steingard, C. Seybert, J.W. Evans, ISIJ Int. 43, 132–138 (2003)

    Article  CAS  Google Scholar 

  14. K. Krishnapisharody, G.A. Irons, Metall. Mater. Trans. B 37B, 763–772 (2006)

    Article  CAS  Google Scholar 

  15. D. Guo, G.A. Irons, Metall. Mater. Trans. B 33B, 377–384 (2002)

    Article  CAS  Google Scholar 

  16. L. Wu, P. Valentin, D. Sichen, Steel Res. Int. 81, 508–515 (2010)

    Article  CAS  Google Scholar 

  17. M. Iguchi, K. Miyamoto, S. Yamashita, D. Iguchi, M. Zeze, ISIJ Int. 44, 636–638 (2004)

    Article  CAS  Google Scholar 

  18. D. Mazumdar, P. Dhandapani, R. Sarvanakumar, ISIJ Int. 57, 286–295 (2017)

    Article  CAS  Google Scholar 

  19. M. Peranandhanthan, D. Mazumdar, ISIJ Int. 50, 1622–1631 (2010)

    Article  CAS  Google Scholar 

  20. M. Zhu, T. Inomoto, I. Sawada, T. Hsiao, ISIJ Int. 35, 472–479 (1995)

    Article  CAS  Google Scholar 

  21. M. Zhu, I. Sawada, N. Yamasaki, ISIJ Int. 36, 503–511 (1996)

    Article  CAS  Google Scholar 

  22. M. Madan, D. Satish, D. Mazumdar, ISIJ Int. 45, 677–685 (2005)

    Article  CAS  Google Scholar 

  23. A. Castillejos, M. Salcudean, J. Brimacombe, Metall. Trans. B 20B, 603–611 (1989)

    Article  Google Scholar 

  24. J. Woo, J. Szekely, A. Castillejos, J. Brimacombe, Metall. Trans. B 21B, 269–277 (1990)

    Article  CAS  Google Scholar 

  25. S. Joo, R.I.L. Guthrie, Metall. Trans. B 23B, 765–778 (1992)

    Article  CAS  Google Scholar 

  26. M.B. Goldschmit, A.H.C. Owen, Ironmak. Steelmak. 28, 337–341 (2001)

    Article  CAS  Google Scholar 

  27. S. Ganguly, S. Chakraborty, Ironmak. Steelmak. 35, 524–530 (2008)

    Article  CAS  Google Scholar 

  28. J.L. Xia, T. Ahokainen, L. Holappa, Scand. J. Metall. 30, 69–76 (2001)

    Article  CAS  Google Scholar 

  29. G. Venturini, M. Goldschmit, Metall. Mater. Trans. B 38B, 461–475 (2007)

    Article  CAS  Google Scholar 

  30. B.K. Li, H.B. Yin, C.Q. Zhou, F. Tsukihashi, ISIJ Int. 48, 1704–1711 (2008)

    Article  CAS  Google Scholar 

  31. F.P. Maldonado, M.A. Ramirez, A. Conejo, C. Gonzalez, ISIJ Int. 51, 1110–1118 (2011)

    Article  Google Scholar 

  32. W.T. Lou, M. Zhu, Metall. Mater. Trans. B 44B, 1251–1263 (2013)

    Article  Google Scholar 

  33. W.T. Lou, M. Zhu, ISIJ Int. 54, 9–18 (2014)

    Article  CAS  Google Scholar 

  34. V. De Felice, I.L.A. Daoud, B. Dussoubs, A. Jardy, J.P. Bellot, ISIJ Int. 52, 1273–1280 (2012)

    Article  Google Scholar 

  35. J.P. Bellot, V. De Felice, B. Dussoubs, A. Jardy, S. Hans, Metall. Mater. Trans. B 45B, 13–21 (2014)

    Article  Google Scholar 

  36. L. Jonsson, P. Jönsson, ISIJ Int. 36, 1127–1134 (1996)

    Article  CAS  Google Scholar 

  37. L.M. Li, Z.Q. Liu, B.K. Li, H. Matsuura, F. Tsukihashi, ISIJ Int. 55, 1337–1346 (2015)

    Article  CAS  Google Scholar 

  38. L. Jonsson, D. Sichen, P. Jönsson, ISIJ Int. 38, 260–267 (1998)

    Article  CAS  Google Scholar 

  39. S. Johansen, F. Boysan, Metall. Trans. B 19B, 755–764 (1988)

    Article  CAS  Google Scholar 

  40. Y. Sheng, G.A. Irons, Metall. Mater. Trans. B 24B, 695–705 (1993)

    Article  CAS  Google Scholar 

  41. D. Mazumdar, R.I.L. Guthrie, ISIJ Int. 34, 384–392 (1994)

    Article  CAS  Google Scholar 

  42. Y. Sheng, G.A. Irons, Metall. Mater. Trans. B 26B, 625–635 (1995)

    Article  CAS  Google Scholar 

  43. H.P. Liu, Z.Y. Qi, M.G. Xu, Steel Res. Int. 82, 440–458 (2011)

    Article  CAS  Google Scholar 

  44. Q. Cao, L. Nastac, Metall. Mater. Trans. B 49B, 1388–1404 (2018)

    Article  Google Scholar 

  45. R. Singh, D. Mazumdar, A.K. Ray, ISIJ Int. 48, 1033–1035 (2008)

    Article  CAS  Google Scholar 

  46. L.M. Li, Z.Q. Liu, M.X. Cao, B.K. Li, JOM 67, 1459–1467 (2015)

    Article  CAS  Google Scholar 

  47. L.M. Li, B.K. Li, Z.Q. Liu, ISIJ Int. 57, 1–10 (2017)

    Article  Google Scholar 

  48. Q. Cao, L. Nastac, Ironmak. Steelmak. 45, 984–991 (2018)

    Article  CAS  Google Scholar 

  49. Q. Cao, A. Pitts, L. Nastac, Ironmak. Steelmak. 45, 280–287 (2018)

    Article  CAS  Google Scholar 

  50. S. Cloete, J.E. Olsen, P. Skjetne, Appl. Ocean Res. 31, 220–225 (2009)

    Article  Google Scholar 

  51. S. Cloete, J.J. Eksteen, S.M. Bradshaw, Miner. Eng. 46, 16–24 (2013)

    Article  Google Scholar 

  52. E.K. Ramasetti, V.V. Visuri, P. Sulasalmi, R. Mattila, T. Fabritius, Steel Res. Int. 90, 1800365 (2019)

    Article  Google Scholar 

  53. E.K. Ramasetti, V.V. Visuri, P. Sulasalmi, T. Palovaara, A.K. Kumar Gupta, T. Fabritius, Steel Res. Int. 90, 1900088 (2019)

    Article  Google Scholar 

  54. V.T. Mantripragada, S. Sarkar, Can. Metall. Q. 59, 159–168 (2020)

    Article  CAS  Google Scholar 

  55. Y. Liu, M. Ersson, H.P. Liu, P. Jonsson, Y. Gan, Steel Res. Int. 90, 1–13 (2019)

    Google Scholar 

  56. B.H. Zhu, B. Zhang, K. Chattopadhyay, Metall. Trans. B 51, 898–905 (2020)

    Article  CAS  Google Scholar 

  57. R.D. Morales, F.A. Calderón-Hurtado, K. Chattopadhyay, Metall. Trans. B 51, 628–648 (2020)

    Article  CAS  Google Scholar 

  58. R.D. Morales, F.A. Calderón-Hurtado, K. Chattopadhyay, ISIJ Int. 59, 1224–1233 (2019)

    Article  CAS  Google Scholar 

  59. D. Guo, G. Irons, Metall. Mater. Trans. B 31B, 1457–1464 (2000)

    Article  CAS  Google Scholar 

  60. Y.G. Xu, M. Ersson, P. Jonsson, Steel Res. Int. 86, 1289–1297 (2015)

    Article  CAS  Google Scholar 

  61. C.W. Hirt, B.D. Nichols, J. Comput. Phys. 39, 201–225 (1981)

    Article  Google Scholar 

  62. J.U. Brackbill, D.B. Kothe, C. Zemach, J. Comput. Phys. 100, 335–354 (1992)

    Article  CAS  Google Scholar 

  63. O. Ubbink, R.I. Isssa, J. Comput. Phys. 153, 26–50 (1999)

    Article  Google Scholar 

  64. J. Smagorinsky, Mon. Weather Rev. 91, 99–164 (1963)

    Article  Google Scholar 

  65. D.K. Lilly, Phys. Fluids A 105, 633–635 (1992)

    Article  Google Scholar 

  66. C. Meneveau, T.S. Lund, Phys. Fluids A 110, 3932–3934 (1997)

    Article  Google Scholar 

  67. P.E. Anagbo, J.K. Brimacombe, A.H. Castillejos, Can. Metall. Q. 28, 323–330 (1989)

    Article  CAS  Google Scholar 

  68. P.E. Anagbo, J.K. Brimacombe, Metall. Trans. B 21, 637–648 (1990)

    Article  Google Scholar 

  69. J. Mietz, F. Oeters, Steel Res. Int. 60, 387–394 (1989)

    Article  CAS  Google Scholar 

  70. W. Liu, H. Tang, S. Yang, M. Wang, J. Li, Q. Liu, J. Liu, Metall. Mater. Trans. B 49B, 2681–2691 (2018)

    Article  Google Scholar 

  71. Subagyo, G.A. Brooks, G.A. Irons, ISIJ Int. 43, 262–265 (2003)

    Article  CAS  Google Scholar 

  72. K. Yonezawa, K. Schwerdtferger, ISIJ Int. 44, 217–219 (2004)

    Article  CAS  Google Scholar 

  73. M. Castello-Branco, K. Schwerdtfeger, Metall. Trans. B 25, 359–371 (1994)

    Article  Google Scholar 

Download references

Acknowledgments

Qiang Li acknowledges the financial support from the National Natural Science Foundation of China under Grant No. 52074079 and the China Scholarship Council (No. 201706085028) as a Visiting Scholar in Carnegie Mellon University, USA.

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Correspondence to Qiang Li.

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Manuscript submitted August 13, 2020; accepted February 12, 2021.

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Li, Q., Pistorius, P.C. Interface-Resolved Simulation of Bubbles–Metal–Slag Multiphase System in a Gas-Stirred Ladle. Metall Mater Trans B 52, 1532–1549 (2021). https://doi.org/10.1007/s11663-021-02121-w

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