Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations
Štvrtok 13.11.2014 o 14:00, poslucháreň M-223
Peter Guba (KAMŠ):
Convective instability of a ternary mushy layer
Abstrakt:
We describe a model for convection and solidification of ternary alloys in mushy layers.
We perform a linear stability analysis to explore the influence of phase change effects
due to latent heat release, solute rejection and background solidification.
Novel modes of instability, both direct and oscillatory, that exist under statically stable conditions are identified.
We identify these instabilities asymptotically in the limit of a thin mushy layer and confirm these predictions
numerically using a pseudospectral Chebyshev collocation method.
[This is a joint work with D. M. Anderson (George Mason University and NIST).]