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A new oscillatory instability in a mushy layer during the solidification of binary alloys
| Content Provider | Semantic Scholar |
|---|---|
| Author | Anderson, D. M. Worster, M. Grae |
| Copyright Year | 1996 |
| Abstract | We consider the solidification of a binary alloy in a mushy layer and analyse the linear stability of a quiescent state with specific interest in identifying an oscillatory convective instability. We employ a near-eutectic approximation and consider the limit of large far-field temperature. These asymptotic limits allow us to examine the dynamics of the mushy layer in the form of small deviations from the classical case of convection in a horizontal porous layer of uniform permeability. We consider also the limit of large Stefan number, which incorporates a key balance necessary for the existence of the oscillatory instability. The model we consider here contains no double-diffusive effects and no region in which a statically stable density gradient exists. The mechanism underlying the oscillatory instability we discover is instead associated with a complex interaction between heat transfer, convection and solidification. |
| Starting Page | 245 |
| Ending Page | 267 |
| Page Count | 23 |
| File Format | PDF HTM / HTML |
| DOI | 10.1017/S0022112096000110 |
| Volume Number | 307 |
| Alternate Webpage(s) | http://math.gmu.edu/~dmanders/WEBDAN/mush_osc.ps |
| Alternate Webpage(s) | https://doi.org/10.1017/S0022112096000110 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
