Analytically Solvable Differential Diffusion Equations Describing the Intermediate Phase Growth
M. V. Yarmolenko
Kyiv National University of Technologies and Design, 2 Nemirovich-Danchenko Str., 01011 Kyiv, Ukraine
Received: 12.03.2018. Download: PDF
Analytical method to solve differential diffusion equations describing the growth of the phase wedge during the intermetallic-compound formation with a narrow concentration range of homogeneity in bicrystals is proposed. A model describing the diffusion phase growth from point source inside the polycrystal grains is regarded. Analytical method to solve differential diffusion equations for such a model is suggested. Parabolic, cubic, and fourth power diffusion regimes for different scales from nanometers to micrometers and millimeters are analysed.
Key words: diffusion, reaction, phase-growth law, intermetallic compounds, grain boundaries.
PACS: 61.72.Cc, 64.75.Op, 66.30.Dn, 66.30.Ny, 66.30.Pa, 68.35.Fx, 68.35.Rh
Citation: M. V. Yarmolenko, Analytically Solvable Differential Diffusion Equations Describing the Intermediate Phase Growth, Metallofiz. Noveishie Tekhnol., 40, No. 9: 1201—1207 (2018)