Abstract
In this paper, a new method for estimating ternary viscosity in terms of an extension of Chou’s thermodynamic geometric model[1,2] has been developed. This new method has been employed to evaluate the viscosity of the Au-Ag-Cu ternary system. Good agreement between the calculated and experimental data in the ternary system indicates that this approach can be successfully used to predict viscosity of ternary and multicomponent systems. Currently, this method requires less information than any other for the calculation of viscosity for a multicomponent system.
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References
K-C. Chou: “General Solution Model for Predicting Ternary Thermodynamic Properties,” Calphad, 1995, 19, pp. 315–25.
K-C. Chou and S-K. Wei: “A New Generation Solution Model for Predicting Thermodynamical Properties of a Multicomponent System From Binaries,” Metall. Mater. Trans., 1997, 28B, pp. 439–45.
K.-C. Chou and Y-A. Chang: “A Study of Ternary Geometrical Models,” Ber. Bunsenges. Phys. Chem., 1989, 93, pp. 735–41.
M. Hillert: “Empirical Methods of Predicting and Representing Thermodynamic Properties or Ternary Solution Phases,” Calphad, 1980, 4(1), pp. 1–12.
I. Ansara: “Comparison of Methods for Thermodynamic Calculation of Phase Diagrams,” Int. Met. Rev., 1979, 24(1), pp. 20–53.
K-C. Chou: “A Study of Relative Stability,” Ber. Bunsenges. Phys. Chem., 1989, 93, pp. 569–74.
F. Kohler: Monatsh. Chem., 1960, 91, pp. 738–40.
Y.M. Muggianu, M. Gambino, and J-P. Bros: J. Chim. Phys. (Paris), 1965, 72, pp. 83–88.
G.W. Toop: “Predicting Ternary Activities Using Binary Data,” Trans. AIME, 1965, 233, p. 850.
K-C. Chou: “A New Solution Model for Predicting Ternary Thermodynamic Properties,” CALPHAD, 1987, 11(1), pp. 293–300.
R-Q. Li: “The Measurement and Calculation of Phase Diagram for Ternary Molten Salt System,” M.S. Thesis, University of Science & Technology, Beijing, China, 1988.
S-L. Chen and K-C. Chou: “General Representation of Geometrical Solution Model for Predicting Ternary Thermodynamic Properties,” Rare Metals, 1989, 18(4), pp. 22–26.
K-C. Chou and R-Q. Li: “New Symmetric Model for Predicting Ternary Thermodynamic Properties From Its Three Binary Systems,” Rare Metals. (China), 1989, 18(4), pp. 12–17.
S-L. Chen and K-C. Chou: “The Application of Rational Function to Predict Ternary Thermodynamic Properties,” Calphad, 1989, 13(1), pp. 79–82.
S-L. Chen, J-Q. Cui, T-K. Chen, and K-C. Chou: “Integration Model Predicting Ternary Thermodynamic Properties From Binary Ones,” Calphad, 1989, 13(3), pp. 225–30.
J-H. Hu, S-L. Chen, W-J. Cai, and K-C. Chou (G. Zhou): “Predicting the Surface Tension of Ternary by Using Geometric Solution Model,” J. Univ. Sci. Technol. Beijing, 1990, 12(6), pp. 558–62.
Y-H. Liu, J-Y Zhang, F-S. Li, W-C. Li, and K-C. Chou: “Predicting Surface Tension of Liquid Multicomponent Systems With a New Geometric Model” in Proceedings of 27th Calphad Meeting, Calphad XXVII, Beijing, China, May 1998.
Y-H. Liu, F-S. Li, K-C. Chou, D. Zivkovic, and Z. Zivkovic: “Predicting Viscosity and Density of Liquid Multicomponent Systems With a New Geometric Model” in Proceedings of 27th Calphad Meeting, Calphad XXVII, Beijing, China, May 1998.
E. Gebhardt and G. Worwag: “Die Innere Reibung Flussiger Legierungen aus Cu-Ag und Au-Cu,” Z. Metallkde., 1951, 42, pp. 358–61.
E. Gebhardt and M. Becker: “Die Innere Reibung Flussiger Legierungen aus Silber-Gold,” Z. Metallkde, 1951, 42, pp. 111–17.
E. Gebhardt and G. Worwag: “Die Innere Reibung Flussiger Legierungen aus Silber-Kupfer-Gold,” Z. Metallkde., 1951, 42, pp. 106–09.
E.A. Moelwyn-Hughes: Physical Chemistry, Pergamon Press, Oxford, U.K., 1961.
X-M. Zhong, K-C. Chou, Y-M. Gao, X-M. Guo, and X-Z. Lan: “Estimating Ternary Viscosity in Terms of Moelwyn-Hughes’s Model,” Calphad, 2001, 25(3), pp. 455–60.
M. Hirai: “Estimation of Viscosities of Liquid Alloys,” Iron Steel Inst. Jpn. Int., 1993, 33(2), pp. 251–58.
Du Sichen, J. Bygden, and S. Seetharaman: “A Model for Estimation of Viscosities of Complex Metallic and Ionic Melts,” Metall. Mater. Trans. B, 1994, 25B, pp. 519–25.
S. Seetharaman and Du Sichen: “Estimation of Viscosities of Binary Metallic Melts Using Gibbs Energy of Mixing,” Metall. Mater. Trans. B, 1994, 25B, pp. 589–95.
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Zhong, X.M., Liu, Y.H., Chou, K.C. et al. Estimating ternary viscosity using the thermodynamic geometric model. JPE 24, 7–11 (2003). https://doi.org/10.1007/s11669-003-0002-8
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DOI: https://doi.org/10.1007/s11669-003-0002-8