- Abstract:
-
We model buoyancy-driven convection with chimneys -- channels of zero solid fraction -- in a mushy layer formed during directional solidification of a binary alloy in two-dimensions. A large suite of numerical simulations is combined with scaling analysis in order to study the parametric dependence of the flow. Stability boundaries are calculated for states of finite-amplitude convection with chimneys, which for a narrow domain can be interpreted in terms of a modified Rayleigh number criteri...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1017/jfm.2012.541
-
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- Journal:
- JOURNAL OF FLUID MECHANICS
- Volume:
- 716
- Pages:
- 203-227
- Publication date:
- 2012-05-04
- DOI:
- EISSN:
-
1469-7645
- ISSN:
-
0022-1120
- URN:
-
uuid:25087404-0405-4c7e-8013-1446f310de17
- Source identifiers:
-
389848
- Local pid:
- pubs:389848
- Language:
- English
- Keywords:
- Copyright date:
- 2012
- Notes:
-
20 pages, 10 figures. Changes from previous version correct typos,
expand on discussion of the method including new appendix A, and minor
changes to the discussion. A modified final version has been accepted for
publication in the Journal of Fluid Mechanics
Journal article
Nonlinear mushy-layer convection with chimneys: stability and optimal solute fluxes
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