Abstract
Slag–metal reaction experiments in MoSi2 resistance furnace combined with electroslag remelting (ESR) experiments in ESR furnace are used to study the effect of slag on zirconium distribution in ESR ingot by establishing a new mass transfer model of slag–metal reaction. The mass transfer model consists of Al + Al2O3, Si + SiO2, Zr + ZrO2, and Fe + FeO systems based on the penetration and film theories. Both experimental and simulated results show that the returned slag (CaF2:CaO:Al2O3:MgO:ZrO2 = 57:20:16:3:3) combined with extra 4% Al2O3 added into molten slag in the first slag-temperature-rising period can control the zirconium in ESR ingot ranging from 0.35 to 0.40% and improve the homogeneous distribution of zirconium in ESR ingot. The returned slag of Exp.A containing low silica being used in Exp.C can not only contribute to the recycling of returned slag, but also improve the homogeneous distribution of Zr along the height of ESR ingot.
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Abbreviations
- \(J_{{\text{M}}}^{{}}\) :
-
Mass transfer flux of element M (mol cm−2 s−1)
- \(T_{{{\text{Slag}}}}\) :
-
The slag temperature in ESR furnace (K)
- \(D_{{\text{M}}}^{{}}\) :
-
Diffusion coefficient of M in metal (cm2 s−1)
- \(D_{{{\text{MO}}}}^{{}}\) :
-
Diffusion coefficient of MOn in slag (cm2 s−1)
- \(k_{{{\text{MO}}}}^{{}}\) :
-
Mass transfer coefficients of MOn in slag (cm2 s−1)
- \(k_{{\text{M}}}^{{}}\) :
-
Mass transfer coefficient of M in metal (cm2 s−1)
- \(k_{{\text{M}}}^{\Theta }\) :
-
Comprehensive mass transfer coefficient (cm2 s−1)
- \(\tau\) :
-
Reaction time of fluid particle (s)
- \(\rho_{{\text{m}}}\) :
-
Density of molten steel (g cm−3)
- \(\rho_{{\text{s}}}\) :
-
Density of molten slag (g cm−3)
- \(w_{{\text{[M]}}}^{{}}\) :
-
Average mass fraction of element M in metal (wt%)
- \(w_{{\text{[M]}}}^{*}\) :
-
Mass fraction of element M at interface (wt%)
- \(w_{{{\text{(MO}}_{n} )}}^{{\text{o}}}\) :
-
Initial mass fraction of MOn in slag (wt%)
- \(w_{{\text{[M]}}}^{{\text{o}}}\) :
-
Initial mass fraction of element M in metal (wt%)
- \(w_{{{\text{(MO}}_{n} )}}^{{}}\) :
-
Average mass fraction of MOn in slag (wt%)
- \(w_{{{\text{(MO}}_{n} )}}^{*}\) :
-
Mass fraction of MOn at interface (wt%)
- \(\Delta w_{{\text{[M]}}}^{{}}\) :
-
Mass fraction difference of M during reaction, (wt%)
- \(\Delta w_{{{\text{(MO}}_{{\text{n}}} )}}^{{}}\) :
-
Mass fraction difference of MOn in slag (wt%)
- \({\text{M}}_{{\text{M}}}\) :
-
Molar weight of element M (g mol−1)
- \({\text{M}}_{{{\text{MO}}_{n} }}\) :
-
Molar weight of component MOn (g mol−1)
- \(K_{{\text{M}}}^{{}}\) :
-
Thermodynamic equilibrium constant
- \(\Omega_{{\text{M}}}\) :
-
Apparent equilibrium constant
- \(L_{{\text{S}}}\) :
-
Distribution ratio of sulfur
- \(C\) :
-
Total molar number of 100 g slag (mol)
- \(a_{{\text{[M]}}}^{*}\) :
-
Activity of element M at slag–metal interface
- \(a_{{\text{[O]}}}^{*}\) :
-
Activity of [O] at slag–metal interface
- \(a_{{{\text{(MO}}_{n} )}}^{*}\) :
-
Activity of MOn at slag–metal interface
- \(e_{i}^{j}\) :
-
First interaction coefficient in metal
- \(f_{{\text{[M]}}}^{{}}\) :
-
Activity coefficient of M in metal
- \(\gamma_{{{\text{MO}}_{n} }}^{{}}\) :
-
Activity coefficient of MOn in slag
- \(X_{{{\text{MO}}_{n} }}^{{}}\) :
-
Mole fraction of MOn in slag
- \(t_{{{\text{time}}}}\) :
-
ESR remelting time (s)
- \(A\) :
-
Area of slag–metal interface (cm2)
- \(W_{{\text{m}}}\) :
-
Volume remelting velocity during ESR process (cm3 s−1)
- \(V_{{\text{S}}}\) :
-
Volume of slag in ESR furnace (cm3)
- \(V_{{\text{m}}}\) :
-
Volume of reaction molten metal (cm3)
- \(I_{{{\text{FeO}}}}\) :
-
The increment of iron oxide in ESR furnace (g s−1)
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Acknowledgements
This project is supported by the National Nature Science Foundation of China (Grant Nos. 51804205, U1860205 and 51874203) and Open Foundation of The State Key Laboratory of Refractories and Metallurgy (Grant No. G201607).
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Hou, D., Wang, D., Jiang, Z. et al. The Design of Slag and Electroslag Remelting Production Technology of Steel Containing Zirconium. J. Sustain. Metall. 6, 463–477 (2020). https://doi.org/10.1007/s40831-020-00287-2
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DOI: https://doi.org/10.1007/s40831-020-00287-2