Abstract
A linear stability analysis is performed on the interface formed during the directional solidification of a dilute binary alloy in the presence of a weak, time-dependent flow. In one case, the flow is generated by a simple harmonic, lateral oscillation of the crystal, resulting in solidification into a compressed Stokes boundary layer. In a second, more general, case, the crystal also has a mean horizontal velocity. The presence of the flow can either stabilize or destabilize the two-dimensional system relative to the case with no flow, with the result depending on the Schmidt number, segregation coefficient, and the frequency of the oscillations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 317-333 |
| Number of pages | 17 |
| Journal | Journal of Crystal Growth |
| Volume | 143 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - Oct 2 1994 |
| Externally published | Yes |
Funding
The authors are grateful to G.B. McFadden for suggesting the examination of the average concentration gradient in Section 7, A.K. Hobbs for making available detailed notes pertaining to the article by Hobbs and Metzener \[101,and K. Brattkus for a helpful discussion pertaining to microstructures in the presence of flow. This work was supported by grants from the National Aeronautics and Space Administration through the Graduate Student Researchers Program (TPS) and the Program on Microgravity Science and Applications (SHD).
ASJC Scopus subject areas
- Condensed Matter Physics
- Inorganic Chemistry
- Materials Chemistry