title: Phase-field modeling of two-dimensional solute precipitation∕dissolution: solid fingers and diffusion-limited precipitation.
abstract: Two-dimensional dendritic growth due to solute precipitation was simulated using a phase-field model reported earlier [Z. Xu and P. Meakin, J. Chem. Phys. 129, 014705 (2008)]. It was shown that diffusion-limited precipitation due to the chemical reaction at the solid-liquid interface has similarities with diffusion-limited aggregation (DLA). The diffusion-limited precipitation is attained by setting the chemical reaction rate much larger compared to the solute diffusion to eliminate the effect of the interface growth kinetics. The phase-field simulation results were in reasonable agreement with the analytical solutions. The fractal solid fingers can be formed in the diffusion-limited precipitation and have a fractal dimension measured d(f)=1.68, close to 1.64, the fractal dimensionality of large square lattice DLA clusters.
authors.affiliation: Computational Mathematics Group, Fundamental and Computational Sciences Directorate, Pacific Northwest National Laboratory, Richland, Washington 99352, USA. zhijie.xu@pnl.gov
authors.forename: Zhijie
authors.initials: Z
authors.lastname: Xu
authors.forename: Paul
authors.initials: P
authors.lastname: Meakin
mesh_terms: D055592:Biophysical Phenomena; D011232:Chemical Precipitation; D003712:Dendrites / Q000737:chemistry* / Q000502:physiology; D004058:Diffusion; D008954:Models, Biological; D012996:Solutions / Q000737:chemistry
chemical_list: D012996:Solutions