Journal
PHILOSOPHICAL MAGAZINE
Volume 94, Issue 14, Pages 1552-1577Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/14786435.2014.890755
Keywords
diffusion; Sutherland equation; liquids; transport properties
Categories
Funding
- National Natural Science Foundation for Youth of China [51301208]
- Sino-German Center for Promotion of Science [GZ 755]
- National Basic Research Program of China [2011CB610401]
- Zhuzhou Cemented Carbide Cutting Tools Co. Ltd. of China
- Shenghua Scholar Program of Central South University, Changsha, P.R. China
- Hunan Provincial Innovation Foundation for Postgraduate, P.R. China
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Viscosity and diffusivity, two important transport coefficients, are systematically investigated from unary melt to binary to multicomponent melts in the present work. By coupling with Kaptay's viscosity equation of pure liquid metals and effective radii of diffusion species, the Sutherland equation is modified by taking the size effect into account, and further derived into an Arrhenius formula for the convenient usage. Its reliability for predicting self-diffusivity and impurity diffusivity in unary liquids is then validated by comparing the calculated self-diffusivities and impurity diffusivities in liquid Al- and Fe-based alloys with the experimental and the assessed data. Moreover, the Kozlov model was chosen among various viscosity models as the most reliable one to reproduce the experimental viscosities in binary and multicomponent melts. Based on the reliable viscosities calculated from the Kozlov model, the modified Sutherland equation is utilized to predict the tracer diffusivities in binary and multicomponent melts, and validated in Al-Cu, Al-Ni and Al-Ce-Ni melts. Comprehensive comparisons between the calculated results and the literature data indicate that the experimental tracer diffusivities and the theoretical ones can be well reproduced by the present calculations. In addition, the vacancy-wind factor in binary liquid Al-Ni alloys with the increasing temperature is also discussed. What's more, the calculated inter-diffusivities in liquid Al-Cu, Al-Ni and Al-Ag-Cu alloys are also in excellent agreement with the measured and theoretical data. Comparisons between the simulated concentration profiles and the measured ones in Al-Cu, Al-Ce-Ni and Al-Ag-Cu melts are further used to validate the present calculation method.
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