Transient convective instabilities in directional solidification

Details Transient convective instabilities in directional solidification Transient convective instabilities in directional solidification

2010-05-28

arxiv.org/abs/1005.5261v2

E. Meca and L. Ram\'irez-Piscina, PHYSICS OF FLUIDS 22, 114110 (2010)

Physics

Fluid Dynamics

28 pages, 5 figures. The following article has been accepted for publication in Physics of Fluids. After it is published, it w

Scientific paper

10.1063/1.3511520

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.

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