Transient convective instabilities in directional solidification
Fluid Dynamics
2010-11-29 v2
Abstract
We study the convective instability of the melt during the initial transient in a directional solidification experiment in a vertical configuration. We obtain analytically the dispersion relation, and perform an additional asymptotic expansion for large Rayleigh number that permits a simpler analytical analysis and a better numerical behavior. We find a transient instability, i.e. a regime in which the system destabilizes during the transient whereas the final unperturbed steady state is stable. This could be relevant to growth mode predictions in solidification.
Cite
@article{arxiv.1005.5261,
title = {Transient convective instabilities in directional solidification},
author = {Esteban Meca and Laureano Ramirez-Piscina},
journal= {arXiv preprint arXiv:1005.5261},
year = {2010}
}
Comments
28 pages, 5 figures. The following article has been accepted for publication in Physics of Fluids. After it is published, it will be found at http://pof.aip.org