Boundary interface conditions and solute trapping near the transition to diffusionless solidification
Omsk State University, Physics Department, 644077 Omsk, Russia
2 Ural Federal University, Theoretical and Mathematical Physics Department, Laboratory of Multi-Scale Mathematical Modeling, 620000, Ekaterinburg, Russia
3 Friedrich-Schiller-Universität-Jena, Faculty of Physics and Astronomy, Otto Schott Institute of Materials Research, 07743 Jena, Germany
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Published online: 11 February 2020
The process of rapid solidification of a binary mixture is considered in the framework of local nonequilibrium model (LNM) based on the assumption that there is no local equilibrium in solute diffusion in the bulk liquid and at the solid-liquid interface. According to LNM the transition to complete solute trapping and diffusionless solidification occurs at a finite interface velocity V=VD, where VD is the diffusion speed in bulk liquid. In the present work, the boundary conditions at the phase interface moving with the velocity V close to VD (V ≲ VD) have been derived to find the non-equilibrium solute partition coefficient. In the high-speed region, its comparison with the partition coefficient from the work [P. Galenko, Phys. Rev. E 76, 031606 (2007)] is given.
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