Abstract
A simple and accurate density calculation model for molten slags containing iron oxides in SiO2-Al2O3-CaO-MgO-‘FeO’-‘Fe2O3’ systems is established in the present study, by extending a previous model developed for SiO2-Al2O3-CaO-MgO systems. To quantitate the iron oxides in slags, a new method is proposed to recalculate all the iron oxides as ‘FeO’ and ‘Fe2O3,’ which represent the iron oxides in equilibrium with metallic iron and the air atmosphere, respectively. This method is essentially different from most of the other models that dealt with ferrous (FeO) and ferric (Fe2O3) iron oxides. A total of 860 experimental data points for iron oxide-containing melts are critically collected for the optimization of the model parameters. The model achieves an excellent agreement with literature values with an average error of 1.96 pct and an overall absolute error of 0.092 g/cm3. The compositional dependences from unary to multicomponent systems are discussed using the present model. The results show that the densities always increase with the increasing ‘FeO’ or ‘Fe2O3,’ and the substitution of ‘FeO’ by ‘Fe2O3’ will cause a decrease in density. In the multicomponent systems, SiO2 tends to have a larger impact on the density of ‘Fe2O3’-containing systems compared with ‘FeO’-containing systems.
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Y. Linard, H. Nonnet, and T. Advocat: J. Non-Cryst. Solids, 2008, vol. 354, pp. 4917–26.
J.F. Xu, K. Wan, J.Y. Zhang, Y. Chen, and M.Q. Sheng: J. South. Afr. Inst. Min. Metall., 2015, vol. 115, pp. 767–72.
R. A. Lange: Contrib. Mineral. Petrol., 1977, vol. 130, pp. 1–11
P. Courtial and D.B. Dingwell: Am. Mineral., 1999, vol. 84, pp. 465–76.
K.C. Mills and B.J. Keene: Int. Mater. Rev., 1987, vol. 32, pp. 1–120.
K.C. Mills, S. Karagadde, P.D. Lee, L. Yuan, and F. Shahbazian: ISIJ Int., 2016, vol. 56, pp. 264–73.
J.F. Xu, J.Y. Zhang, J. Chang, T. Lei, and K.C. Chou: J. Iron. Steel. Res. Int., 2012, vol. 19, pp. 26–32.
G.H. Zhang and K.C. Chou: J. Iron. Steel. Res. Int., 2010, vol. 17, pp. 1–4.
G.H. Zhang and K.C. Chou: Fluid Phase Equilibria, 2009, vol. 286, pp. 28–32.
M. Persson, J. Zhang, and S. Seetharaman: Steel. Res. Int., 2007, vol. 78, pp. 290–98.
M. Persson, T. Matsushita, T. Zhang, and S. Seetharaman: Steel. Res. Int., 2007, vol. 78, pp. 102–08.
K.C. Chou, X. Zhong, and K. Xu: Metall. Mater. Trans. B, 2004, vol. 35, pp. 715–20.
P. Courtial and D.B. Dingwell: Geochim. Cosmochim. Acta, 1995, vol. 59, pp. 3685–95.
K. Nakajima: Tetsu- to- Hagane, 1994, vol. 80, pp. 593–98.
R.A. Lange and I.S.E. Carmichael: Geochim. Cosmochim. Acta, 1987, vol. 51, pp. 2931–46.
Y. Bottinga and D.F. Weill: Amer. J. Sci., 1970, vol. 269, pp. 169–82.
Q.F. Shu and K.C. Chou: Ironmaking. Steelmaking, 2013, vol. 40, pp. 571–77.
E. Thibodeau, A.E. Gheribi, and I.H. Jung: Metall. Mater. Trans. B, 2016, vol. 47, pp. 1187–202.
J. Xin, L. Gan, L. Jiao, and C. Lai: ISIJ Int., 2017, vol. 57, pp. 1340–49.
N. Bowen and J. Schairer: Amer. J. Sci., 1932, vol. 24, pp. 177–213.
N.L. Bowen, J.F. Schairer, and E. Posnjak: Amer. J. Sci., 1933, vol. 26, pp. 193–284.
J.F. Schairer: J. Am. Ceram. Soc., 1942, vol. 25, pp. 241–74.
J. Schairer and E. Osborn: J. Am. Ceram. Soc., 1950, vol. 33, pp. 160–67.
A. Muan: J. Am. Ceram. Soc., 1957, vol. 40, pp. 121–33.
B. Phillips and A. Muan: J. Am. Ceram. Soc., 1959, vol. 42, pp. 413–23.
J.M. Bockris, J. Mackenzie, and J. Kitchener: Trans. Faraday Soc., 1955, vol, 51, pp. 1734–48.
Y. Lee and D. Gaskell: Met. Trans., 1974, vol. 5, pp. 853–60.
K. Ogino, M. Hirano, and A. Adachi: Tech. Rep. Osaka. Univ., 1974, vol. 24, pp. 49–55.
Y. Kawai, H. Shiraishi, and N. Yamada: Tetsu-to-Hagané, 1976, vol. 62, pp. 53–61.
Y. Shiraishi, K. Ikeda, A. Tamura, and T. Saito: Tran. JIM, 1978, vol. 19, pp. 264–74.
V.M. Lopatin, Y.P. Nikitin, L.N. Barmin, and V.I. Sokolov: Izv. Vyssh. Uchebn. Zaved., Chern. Met., 1974, vol. 12, pp. 5–8.
D.R. Lide: CRC handbook of chemistry and physics, 84th edn, CRC Press, Boca Raton, Florida, 2012, pp. 4-39.
L. Gan, J. Xin, and Y. Zhou: ISIJ Int., 2017, vol. 57, pp. 1303–12.
S. Sumita, K.J. Morinaga, and T. Yanagase: J. Jpn. Inst. Met., 1983, vol. 47, pp. 127–31.
R.I. Gulyaeva, S.N. Shin, P.A. Kuznetsov, and A.I. Okunev: Rasplavy, 1990, vol. 2, pp. 16–20.
P. Courtial, E. Ohtani, and D.B. Dingwell: Geochim. Cosmochim. Acta, 1997, vol. 61, pp. 3111–19.
X. Mo, I. Carmichael, M. Rivers, and J. Stebbins: Mineral Mag., 1982, vol. 45, pp. 237–45.
K. Mori and K. Suzuki: Tetsu-to-Hagane, 1968, vol. 54, pp. 1123–27.
S. Hara, K. Irie, D. Gaskell, and K. Ogino: Tran. JIM, 1988, vol. 29, pp. 977–89.
J. Henderson, R.G. Hudson, R.G. Ward, and G. Derge: Trans. Met. Soc. AIME, 1961, vol. 221, pp. 807–11.
J. Henderson: Trans. Met. Soc. AIME, 1964, vol. 230, pp. 501–04.
R. Ward and P. Sachdev: Trans. Met. Soc. AIME, 1965, vol. 233, pp. 1496–99.
D. Gaskell and R. Ward: Trans. Met. Soc. AIME, 1967, vol. 239, pp. 249–52.
D. Gaskell, A. McLean, and R. Ward: Trans. Faraday Soc., 1969, vol. 65, pp. 1498–508.
V.I. Sokolov, S.I. Popel: and O.A. Esin, Izv. Vyssh. Ucheb. Zaved., Chern. Met., 1970, vol. 13, pp. 10–15.
J. Holeczy, L. Bodnar, and K. Tomasek: Hutn. listy, 1972, vol. 27, pp. 364–68.
K. Ikeda, A. Tamura, Y. Shiraishi, and T. Saito: Sci. Rep. RITU, 1973, vol. 29, 24–36.
A.S. Abrosimov, E.G. Gavrin, and V.I. Eremeichenkov: Izv. Vyssh. Ucheb. Zaved., Chern. Met., 1975, vol. 8, 14–17.
L. Bodnar, S. Cempa, K. Tomasek, and L. Bobok: Survey of Physical Properties of Slag Systems in Copper Metallurgy. Advances in ExtractiVe Metallurgy, Imperial College of London, Inst. Min. Metall, London, 1977.
A.I. Karakash and P.V. Ternovoi: Izv. Vyssh. Uchebn. Zaved., Chern. Met., 1977, vol. 10, pp. 21–23.
Z. Yu and K. Mukai: J. Jpn. Inst. Met., 1995, vol. 59, pp. 806–13.
C.W. Thomas: Ph.D. thesis, California Institute of Technology, 2013.
P. Vadasz, M. Havlik, and V. Danek: Can. Metall., 2000, vol. 39, pp. 143–52.
P. Vadász, M. Havlík, and V. Daněk: Open Chemistry, 2006, vol. 4, pp. 174–93.
A. Adachi and K. Ogino: Tech. Rep. Osaka. Univ., 1962, vol. 12, pp. 147–52.
T. Wu, A. Vishkarev, and V. Yavoiskii: Izv. Vyssh. Uchebn. Zaved. Chern. Met., 1962, vol. 5, pp. 66–75.
M.A. Sherstobitov, S.I. Popel, and V.I. Sokolov: Izv. Vyssh. Uchebn. Zaved. Chern. Met., 1966, vol. 9, pp. 5–8.
E.L. Murav’eva and L.I. Kaplun: Adgez. Rasp. Paika Mater., 1984, vol. 12, pp. 26-30.
X. Guo, R.A. Lange, and Y. Ai: Geochim. Cosmochim. Acta, 2013, vol. 120, pp. 206–19.
T. Ličko, V. Daněk, and Z. Pánek: Chem. Pap., 1985, vol. 39, pp. 599–605.
D.B. Dingwell and M. Brearley: Geochim. Cosmochim. Acta, 1988, vol. 52, pp. 2815–25.
Arman, A. Okada, and H. Takebe: Fuel, 2016, vol. 182, pp. 304–13.
O.N. Fadeev, L.F. Khudyakov, I.D. Kashcheev, and G.P. Kharitidi: Izv. Vyssh. Uchebn. Zaved., Chern. Met., 1980, vol. 4, pp. 17–20.
B.A. Bryantsev: Zh. Prikl. Khim., 1968, vol. 41, pp. 2156–59.
M. Zielinski and B. Sikora: Prace. IMZ, 1977, vol. 29, pp. 157–65.
T.K. Ishchanov and K.V. Sushkov: Met. i. Metall., 1974, vol. 3, pp. 81-87.
S. Nelson and I. Carmichael: Contrib. Miner. Petrol., 1979, vol. 71, pp. 117–24.
Z. Yuan, M. Sun, and X. Chen: Non-Ferrous Metals, 1988, vol. 40, pp. 58–62.
M.O. Chevrel, D. Giordano, M. Potuzak, P. Courtial, and D.B. Dingwell: Chem. Geol., 2013, vol. 346, pp. 93–105
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Xin, J., Gan, L., Wang, N. et al. Accurate Density Calculation for Molten Slags in SiO2-Al2O3-CaO-MgO-‘FeO’-‘Fe2O3’ Systems. Metall Mater Trans B 50, 2828–2842 (2019). https://doi.org/10.1007/s11663-019-01674-1
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DOI: https://doi.org/10.1007/s11663-019-01674-1