Transient convective instabilities in directional solidification

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 solutal Rayleigh number that permits a simpler...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 22; no. 11; pp. 114110 - 114110-12
Main Authors Meca, E., Ramírez-Piscina, L.
Format Journal Article
LanguageEnglish
Published Melville, NY American Institute of Physics 01.11.2010
Subjects
Buoyancy-driven instability
Cross-disciplinary physics: materials science; rheology
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Growth from melts; zone melting and refining
Hydrodynamic stability
Materials science
Methods of crystal growth; physics of crystal growth
Physics
Convective instabilities
Liquid solid interface
Directional solidification
Digital simulation
Growth interface
Modelling
Crystal growth from melts
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Summary: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 solutal 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.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.3511520