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1 Bulletin of the Polish Academy of Sciences. Technical Sciences

1 1998

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Solute redistribution after back-diffusion in cellular and dendritic growth of binary alloys

Wołczyński W., Kloch J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1998

Vol. 46, nr 3

277-288

A modification of the Brody-Flemings model for microsegregation is worked out to describe a solute redistribution for oriented cells and dendrites. An improved equation for the liquid concentration is introduced into the presented model. The solute redistribution satisfies mass balance at each stage of directional growth of binary alloys. The back-diffusion into the solid is also included to analysis of the behaviour of the solute concentration in both liquid and solid. The limitation and physical justification for the alfa-back diffusion parameter are considered. The limitation determines both extremal values of alfa-back diffusion parameter; 0 <=alfa<=1. The alfa-parameter is defined as the ratio of solidification time to diffusion time. The presented model is reducible to the Scheil model for alfa = 0 and to the equilibrium solidification for alfa = 1.