https://doi.org/10.1140/epjst/e2019-900104-6
Regular Article
Morphological stability diagram for slowly and rapidly solidifying binary systems
1
Friedrich-Schiller-Universität-Jena, Faculty of Physics and Astronomy, Otto Schott Institute of Materials Research, 07743 Jena, Germany
2
Ural Federal University, Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, 620000 Ekaterinburg, Russia
3
Udmurt State University, Physical Faculty, 426034 Izhevsk, Russia
a e-mail: peter.galenko@uni-jena.de
Received:
13
June
2019
Received in final form:
28
June
2019
Published online:
11
February
2020
A linear morphological stability of the solid-liquid interface is analyzed for a binary alloy in the limit of low and high crystal growth velocities. Using the result of this analysis, a diagram of morphologies is derived for a whole range of solidification rates with indicating critical growth velocities for the transitions planar front ⇔ cellular/dendritic structure. It is specially noted that the speed of solute diffusion in the bulk liquid limits the absolute chemical stability velocity from the high-rate transition cells/dendrites ⇒ planar front.
© The Author(s) 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Open access funding provided by Projekt DEAL.
