{"title":"基于指数温度依赖相互作用能参数的Cu-Fe-Ti合金液相热力学、表面和粘滞性能","authors":"U. Mehta, D. R. Yadav, S. K. Yadav, D. Adhikari","doi":"10.1007/s11669-025-01186-3","DOIUrl":null,"url":null,"abstract":"<div><p>The experimental data of the enthalpy of mixing and excess entropy of mixing of binary subsystems Cu-Fe, Fe-Ti, and Cu-Ti of Cu-Fe-Ti ternary liquid alloy were utilized to compute the exponential temperature-dependent interaction energy parameters for excess Gibbs energy of mixing using the Redlich-Kister (R-K) polynomial. The optimized parameters were utilized to calculate the excess Gibbs energy of mixing, enthalpy of mixing, and activity of components in the binary and ternary alloys at temperatures of 1873, 1973, 2073, and 2173 K. The Butler equation was utilized to analyze surface properties, while the Kaptay equation was employed to calculate the viscosity of ternary liquid alloys. The computed values of excess Gibbs energy of mixing, enthalpy of mixing, and activity of components in the binary liquid alloys are in good agreement with the experimental data. The surface tension and viscosity of the ternary alloys are highly influenced by the fluctuations in the bulk amount of Cu. As temperature increases, the surface tension of the ternary alloy decreases in a linear manner, while the viscosity decreases in a non-linear way.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"46 2","pages":"267 - 278"},"PeriodicalIF":1.5000,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Thermodynamic, Surface and Viscous Properties of Cu-Fe-Ti Alloys in Liquid State Based on Exponential Temperature-Dependent Interaction Energy Parameters\",\"authors\":\"U. Mehta, D. R. Yadav, S. K. Yadav, D. Adhikari\",\"doi\":\"10.1007/s11669-025-01186-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The experimental data of the enthalpy of mixing and excess entropy of mixing of binary subsystems Cu-Fe, Fe-Ti, and Cu-Ti of Cu-Fe-Ti ternary liquid alloy were utilized to compute the exponential temperature-dependent interaction energy parameters for excess Gibbs energy of mixing using the Redlich-Kister (R-K) polynomial. The optimized parameters were utilized to calculate the excess Gibbs energy of mixing, enthalpy of mixing, and activity of components in the binary and ternary alloys at temperatures of 1873, 1973, 2073, and 2173 K. The Butler equation was utilized to analyze surface properties, while the Kaptay equation was employed to calculate the viscosity of ternary liquid alloys. The computed values of excess Gibbs energy of mixing, enthalpy of mixing, and activity of components in the binary liquid alloys are in good agreement with the experimental data. The surface tension and viscosity of the ternary alloys are highly influenced by the fluctuations in the bulk amount of Cu. As temperature increases, the surface tension of the ternary alloy decreases in a linear manner, while the viscosity decreases in a non-linear way.</p></div>\",\"PeriodicalId\":657,\"journal\":{\"name\":\"Journal of Phase Equilibria and Diffusion\",\"volume\":\"46 2\",\"pages\":\"267 - 278\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2025-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Phase Equilibria and Diffusion\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11669-025-01186-3\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"CHEMISTRY, PHYSICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Phase Equilibria and Diffusion","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s11669-025-01186-3","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
Thermodynamic, Surface and Viscous Properties of Cu-Fe-Ti Alloys in Liquid State Based on Exponential Temperature-Dependent Interaction Energy Parameters
The experimental data of the enthalpy of mixing and excess entropy of mixing of binary subsystems Cu-Fe, Fe-Ti, and Cu-Ti of Cu-Fe-Ti ternary liquid alloy were utilized to compute the exponential temperature-dependent interaction energy parameters for excess Gibbs energy of mixing using the Redlich-Kister (R-K) polynomial. The optimized parameters were utilized to calculate the excess Gibbs energy of mixing, enthalpy of mixing, and activity of components in the binary and ternary alloys at temperatures of 1873, 1973, 2073, and 2173 K. The Butler equation was utilized to analyze surface properties, while the Kaptay equation was employed to calculate the viscosity of ternary liquid alloys. The computed values of excess Gibbs energy of mixing, enthalpy of mixing, and activity of components in the binary liquid alloys are in good agreement with the experimental data. The surface tension and viscosity of the ternary alloys are highly influenced by the fluctuations in the bulk amount of Cu. As temperature increases, the surface tension of the ternary alloy decreases in a linear manner, while the viscosity decreases in a non-linear way.
期刊介绍:
The most trusted journal for phase equilibria and thermodynamic research, ASM International''s Journal of Phase Equilibria and Diffusion features critical phase diagram evaluations on scientifically and industrially important alloy systems, authored by international experts.
The Journal of Phase Equilibria and Diffusion is critically reviewed and contains basic and applied research results, a survey of current literature and other pertinent articles. The journal covers the significance of diagrams as well as new research techniques, equipment, data evaluation, nomenclature, presentation and other aspects of phase diagram preparation and use.
Content includes information on phenomena such as kinetic control of equilibrium, coherency effects, impurity effects, and thermodynamic and crystallographic characteristics. The journal updates systems previously published in the Bulletin of Alloy Phase Diagrams as new data are discovered.