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Sergey Sobolev

Solute trapping; Rapid solidification; Local non-equilibrium diffusion; Hyperbolic diffusion equation

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Local Non-Equilibrium Diffusion Model For Solute Trapping During Rapid Solidification, Sergey Sobolev Jan 2012

Local Non-Equilibrium Diffusion Model For Solute Trapping During Rapid Solidification, Sergey Sobolev

Sergey Sobolev

A local non-equilibrium diffusion model (LNDM) for rapid solidification of binary alloys has been briefly reviewed and used to modify a number of solute trapping models with different solid–liquid interface kinetics. The LNDM takes into account deviation from local equilibrium of a solute diffusion field in bulk liquid on the basis that the exact solutions to hyperbolic diffusion equations govern the solute concentration and solute flux in bulk liquid under local non-equilibrium conditions. The LNDM leads to a velocity-dependent effective diffusion coefficient in bulk liquid ahead of the solid–liquid interface, which goes to zero when the interface velocity goes to …