Shallow cells in directional solidification
- 31 July 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 63 (5) , 573-575
- https://doi.org/10.1103/physrevlett.63.573
Abstract
We present existing theory on two-dimensional transitions (appropriate to thin parallel-plate geometries) in such a way that one can identify easily conditions for the onset of shallow cells. By doing so we can give conditions under which succinonitrile-acetone mixtures should undergo supercritical bifurcation in experimentally accessible ranges. These results suggest a means for the quantitative test of the Mullins and Sekerka model and its weakly nonlinear extensions.Keywords
This publication has 15 references indexed in Scilit:
- Cellular dynamics during directional solidification: Interaction of multiple cellsPhysical Review B, 1989
- Dendritic solidification in binary alloysMetallurgical Transactions A, 1988
- Directional solidification of metallic alloys: The nature of the bifurcation from planar to cellular interfaceJournal of Crystal Growth, 1988
- The planar to cellular transition during the directional solidification of alloysActa Metallurgica, 1987
- The effect of latent heat on weakly non-linear morphological stabilityJournal of Crystal Growth, 1986
- Nature of the transition of the solidification front of a binary mixture from a planar to a cellular morphologyJournal of Crystal Growth, 1985
- The Effect of Rapid Solidification Velocity on the Microstructure of Ag-Cu AlloysMetallurgical Transactions A, 1984
- Instabilities and pattern formation in crystal growthReviews of Modern Physics, 1980
- A nonlinear stability analysis of the freezing of a dilute binary alloyPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1970
- Stability of a Planar Interface During Solidification of a Dilute Binary AlloyJournal of Applied Physics, 1964