Thermal Problems in Material processing of High-Temperature Materials
In this final report axial segregation in unsteady diffusion dominated directional solidification of a binary alloy with a planar solid-liquid interface profile is considered. The analysis is an extension of the work of Smith et al. to account for an arbitrary initial axial concentration profile. This situation is important in the experimental studies of growth of crystals in a microgravity environment in which the growth is from melts formed by re-melting crystals that have a known axial impurity profile. Three situations are discussed. There are the initial transient, a re-solidified crystal, and multipass solidification.