Phase-field analysis of a ternary two-phase diffusion couple with multiple analytical solutions
β Scribed by J. Heulens; B. Blanpain; N. Moelans
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 890 KB
- Volume
- 59
- Category
- Article
- ISSN
- 1359-6454
No coin nor oath required. For personal study only.
β¦ Synopsis
Under certain conditions, there are multiple analytical solutions for the interface velocity in ternary two-phase diffusion couples. We have tackled this degeneracy problem by employing an isothermal phase-field model for diffusion couples that allows comparison with the analytical solutions. We find that, besides the three analytically predicted single-interface diffusion paths, a triple-interface diffusion path can also form. Furthermore, analysis of the phase-field simulation results shows that the Gibbs energies of both the bulk phases and the interfaces must be considered to determine uniquely the evolution of a diffusion couple, in case whether a single or multiple interfaces form.
π SIMILAR VOLUMES
Three general methods are developed for solving moving-boundary problems which are governed by diffusional processes such as heat and mass transfer. Examples of such problems include melting, evaporation, and ablation. A method based upon a Riemann-Volterra integration of the diffusion equation lead
## Abstract Gas chromatographic procedures are described for the determination of carboxylic acids and chlorinated anilines in water samples. Propionic acid and 2,6βdifluorobenzoic acid in aqueous solution have been simultaneously alkylated and extracted by means of a continuous twoβphase reaction