Comparison of boundary interpolation methods on the geometrical modeling of viscosity for CaO-Al2O3-SiO2 melts
Source abstract
Abstract
Abstract Double Line (DL) model is an efficient method for predicting the physicochemical properties of systems with limited solubility area, and linear interpolation is always taken for the boundary-property interpolation. In this paper, two nonlinear interpolation methods are introduced to optimize the interpolated results on the calculation boundary, which are used for the viscosity prediction of CaO-Al2O3-SiO2 system by DL model. The predicted results by two nonlinear interpolation methods show better agreements with the experimental data than those by linear interpolation. Besides, whatever the interpolation method is, the predicted mean deviations by DL model are always much smaller than those by empirical models (Ray model and Urbain model). It is anticipated that the introduction of nonlinear interpolation methods will improve the calculation accuracy of ternary melts by DL model.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Metallurgical Processes and Thermodynamics · Materials Engineering and Processing · Recycling and utilization of industrial and municipal waste in materials production
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (47)
Show source-provided references
1. Boron removal from metallurgical grade silicon using a CaO-Li2O-SiO2 molten slag refining technique10.1016/j.jnoncrysol.2012.09.004 ↗
2. Recent advances in understanding physical properties of metallurgical slags10.1007/s12540-017-6750-5 ↗
3. First principles study of the structural, electronic, and optical properties of Sn2+-doped ZnO–P2O5 glasses10.1016/j.jnoncrysol.2018.04.016 ↗
4. Electronic, optical, vibrational and thermodynamic properties of phaBN structure: a first principles study10.1016/j.commatsci.2020.110210 ↗
5. First-principles calculation of the electronic and topological properties of crystalline and amorphous AlxGa1−xN10.1016/j.jnoncrysol.2015.03.037 ↗
6. First-principles study of structural and optical properties contrast for liquid (GeTe)x(x = 1,2,3)-Sb2Te3 compounds10.1016/j.jnoncrysol.2020.120051 ↗
7. Estimating the physical properties of slags
8. Heats of mixing in some non-electrolyte solutions10.1021/ja01135a002 ↗
9. Estimation of the thermodynamic data for a ternary system from the corresponding binary systems10.1007/BF00899814 ↗
10. Enthalpies of formation of liquid alloys Bi-Ga-Sn at 723K. Choice of an analytical representation of integral and partial excess functions of mixing10.1051/jcp/1975720083 ↗
11. A new solution model for predicting ternary thermodynamic properties10.1016/0364-5916(87)90048-4 ↗
12. Predicting ternary activities using binary data
13. Empirical methods of predicting and representing thermodynamic properties of ternary solution phases10.1016/0364-5916(80)90016-4 ↗
14. A general solution model for predicting ternary thermodynamic properties10.1016/0364-5916(95)00029-E ↗
15. New insights into ternary geometrical models for material design
16. Computational study on various properties of CaO-Al2O3-SiO2 mold flux10.1016/j.ceramint.2018.12.225 ↗
17. Calculation of physicochemical properties in a ternary system with miscibility gap10.1007/s11663-004-0011-y ↗
18. Calculation of density in a ternary system with a limited homogenous region using a geometric model10.1016/j.calphad.2005.05.003 ↗
19. Comparison of different calculation methods of the new generation geometric model in predicting the density of NaCl–MgCl2–CaCl2 systems10.1007/s10953-014-0147-6 ↗
20. A comparison of traditional geometrical models and mass triangle model in calculating the surface tensions of ternary sulphide melts10.1016/j.calphad.2007.11.006 ↗
21. Estimating ternary surface tension for systems with limited solubility10.3139/146.101124 ↗
22. Estimation of various properties of CaO–FeO–SiO2 system at 1673 K by mass triangle model10.1515/htmp-2015-0276 ↗
23. Estimations of electrical conductivities in molten slag systems
24. A new method for evaluating some thermophysical properties for ternary system10.1515/HTMP.2008.27.2.119 ↗
25. An insight into the viscosity prediction of ternary alloys with limited solubility10.1080/14786435.2019.1630762 ↗
26. Calculation of the physicochemical properties for ternary solution with limited solubility10.1016/j.ceramint.2018.08.099 ↗
27. Estimating the density and molar volume of ferrite-based ternary molten slags by geometrical model10.1016/j.ceramint.2020.08.171 ↗
28. Evaluation of carbide capacity in CaO-based ternary systems at 1773K for refining process10.2298/JMMB190110054Y ↗
29. Algebraic representation of thermodynamic properties and classification of solutions10.1021/ie50458a036 ↗
30. Geometrical modelling of the physicochemical properties of CaO–Al2O3–CaF2 slag at 1873K10.1016/j.ceramint.2019.12.033 ↗
31. Numerical simulation for salinity intrusion measurement models using the MacCormack finite difference method with lagrange interpolation10.1080/09720502.2020.1737379 ↗
32. A simple regularization of the polynomial interpolation for the resolution of the Runge phenomenon10.1007/s10915-010-9397-7 ↗
33. Boyd · 2000
34. Efficient and direct estimation of the variance–covariance matrix in EM algorithm with interpolation method10.1016/j.jspi.2020.06.005 ↗
35. Ahlberg · 1969
36. Neumaier · 2001
37. Liquid immiscibility in silicate melts and related systems10.2138/rmg.2007.65.4 ↗
38. Thermodynamic assessment of the CaO-Al2O3-SiO2 system10.1111/j.1551-2916.2005.00698.x ↗
39. Structure and properties of low-silica calcium aluminosilicate glasses10.1016/S0022-3093(00)00209-X ↗
40. A structurally based viscosity model for oxide melts10.1007/s11663-013-9980-z ↗
41. Effect of slag-steel reaction on the structure and viscosity of CaO-SiO2-based mold flux during high-Al steel casting10.1016/j.jnoncrysol.2016.08.036 ↗
42. The viscosity window of the silicate glass foam production10.1016/j.jnoncrysol.2016.10.041 ↗
43. Simple method for theoretical estimation of viscosity of oxide melts using optical basicity10.1179/030192304225012097 ↗
44. Viscosity estimation of slags10.1002/srin.198701513 ↗
45. Viscosite et elements structuraux des aluminosilicates fondus: laitiers CaO-Al2O3-SiO2 entre 1600 et 2100°C10.1051/metal/196057020149 ↗
46. Viscosity studies of system CaO-MgO-Al2O3-SiO2: II, CaO-Al2O3-SiO210.1111/j.1151-2916.1948.tb14290.x ↗
47. Shear viscosities of CaO-Al2O3-SiO2 and MgO-Al2O3-SiO2 liquids: implications for the structural role of aluminium and the degree of polymerisation of synthetic and natural aluminosilicate melts10.1016/j.gca.2004.05.041 ↗