Abstract
In the preceding discussion we have not concerned ourselves with the morphology of the solid/liquid (S/L) interface. For calculation purposes it has been considered to be reasonably smooth. However, this is seldom the case in solidification of castings. It will be demonstrated that the thermal and compositional field ahead of the solidifying interface determines its morphology. If such influences are not considered, there is no reason for the interface to lose its planar morphology and become unstable. To evaluate the evolution of interface morphology, interface stability arguments are used. A perturbation is assumed to form at the interface. Then, if the perturbation is damped out in time, the interface is considered to be stable. If the perturbation is amplified in time, the interface is unstable.
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Stefanescu, D. (2015). Solidification of Single-Phase Alloys; Cells and Dendrites. In: Science and Engineering of Casting Solidification. Springer, Cham. https://doi.org/10.1007/978-3-319-15693-4_9
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