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A diffuse-interface model of reactive wetting with intermetallic formation
Authors:W Villanueva  WJ Boettinger  GB McFadden  JA Warren
Affiliation:1. Physics Department, Royal Institute of Technology, Stockholm SE-10691, Sweden;2. Metallurgy Division, National Institute of Standards and Technology, Gaithersburg, MD 20899-8555, USA;3. Applied and Computational Mathematics Division, National Institute of Standards and Technology, Gaithersburg, MD 20899-8910, USA
Abstract:A diffuse-interface model of reactive wetting with intermetallic formation is developed that incorporates fluid flow, phase change and solute diffusion. The model is based on the total molar Gibbs energy of a ternary system with four phases. Numerical simulations were performed using a mesh-adaptive finite element method, revealing the complex behavior of the reactive wetting process. The model was verified against equilibrium states derived from the classical phase diagram and from interface energy considerations. Dynamic results show that the intermetallic can either precede or follow the spreading liquid droplet, depending on the time and the choice of interface energy and kinetic coefficients. Despite this difference, the spreading rate was not affected for the cases considered.
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