Capillary instabilities in deep cells during directional solidification
- 1 January 1989
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 50 (19) , 2999-3006
- https://doi.org/10.1051/jphys:0198900500190299900
Abstract
Motivated by recent experiments, we discuss a capillary instability that arises in funnel-shaped, deep-cell roots during directional solidification. A linear stability analysis of thin, axisymmetric roots reveals that due to surface energy, the roots are always unstable. The eventual outcome of this instability in experiments is a break-up of the root into droplets. The distance between successive droplet centers is in reasonable agreement with the wavelength of the fastest growing modeKeywords
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