Abstract
We examine numerically the time-dependent behaviour of a two-phase system undergoing transient Ostwald ripening. The evolution of selected initial particle-radius- distribution (pro) functions was followed to over three orders of magnitude in time. Although steady-state coarsening behaviour was never fully achieved, the existence of the Lifshitz-Slyozov (LS) attractor prd and scaling laws for 7 and Nv was essentially confirmed for all the initial pros studied in systems with a zero volume fraction of coarsening phase. The transition path to steady-state coarsening was highly dependent upon the initial prd. Phase-plane plots illustrated this dependence and showed the large basin of attraction for the LS prd. In addition, changes in the initial form of a given prd within a fixed class of pros were found to affect strongly the transient coarsening rate; for example, wide log-normal pros evolved more rapidly than did narrow ones. Calculations were also done to examine the effect of a finite volume fraction of coarsening phase on the extent of the transient regime. The results showed that the system evolved to its steady-state form more rapidly at non-zero volume fraction than at zero volume fraction. Finally, we present a comparison of our calculations with other experimental and theoretical studies of transient coarsening behaviour.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 591-612 |
| Number of pages | 22 |
| Journal | Modelling and Simulation in Materials Science and Engineering |
| Volume | 1 |
| Issue number | 5 |
| DOIs | |
| State | Published - Oct 1993 |
ASJC Scopus subject areas
- Modeling and Simulation
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Computer Science Applications