A model has been developed that enables the viscosities of the fully liquid slag in the multi-component Al
2O
3–CaO–FeO–Fe
2O
3–MgO–SiO
2 system close to and at metallic iron saturation to be predicted within experimental uncertainties over a wide range of compositions and temperatures based on the Eyring equation to express viscosity. The model links both the activation and pre-exponential energy terms to the slag internal structure through the concentrations of various Si
0.5O, Me
n+2/nO and Me
n+1/nSi
0.25O viscous flow structural units, of which the concentrations are derived from a quasi-chemical thermodynamic model of the liquid slag. The model describes a number of slag viscosity features including the charge compensation effect specific for the Al
2O
3-containing systems. The present paper describes application of recent significant improvements in the model formalism to the multi-component system Al
2O
3–CaO–FeO–Fe
2O
3–MgO–SiO
2, where both Fe
2+ and Fe
3+ effects on viscosity are individually evaluated. The present model reproduces viscosities of slags equilibrated with metallic iron, which mainly reflects Fe
2+ effects on viscosity including the charge compensation effect of the Fe
2+ as well as Ca
2+ and Mg
2+ cations on the formation of tetrahedrally-coordinated Al
3+. The model can also reproduce the compositional tendency of viscosity of the SiO
2-free CaO–FeO–Fe
2O
3 slag in air by incorporating the charge compensation effect of Fe
3+ to form tetrahedral coordination by basic cations such as Ca
2+ and Fe
2+ and to indicate viscosity maximum at an intermediate composition. Further analysis of the behaviour of the Fe
3+ cation in the silicate structure to describe corresponding effect on viscosities and to improve viscosity predictions is essential.
View full abstract