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Rapid solidification under local nonequilibrium conditions

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN: 1063-651X, Vol: 55, Issue: 6, Page: 6845-6854
1997
  • 109
    Citations
  • 0
    Usage
  • 32
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    109
    • Citation Indexes
      109
  • Captures
    32

Article Description

The effects of local nonequilibrium solute diffusion on a solute concentration field, solute partitioning, interface temperature, and absolute stability limit have been considered. The model incorporates two diffusive speeds, [Formula Presented], the bulk-liquid diffusive speed, and [Formula Presented], the interface diffusive speed, as the most important parameters governing the solute concentration in the liquid phase and solute partitioning. The analysis of the model predicts a transition from diffusion-controlled solidification to purely thermally controlled regimes, which occurs abruptly when the interface velocity V equals the bulk liquid diffusive speed [Formula Presented]. The abrupt change in the solidification mechanism is described by the velocity-dependent effective diffusion coefficient [Formula Presented]=D(1-[Formula Presented]/[Formula Presented]) and the generalized partition coefficient [Formula Presented]. If V>[Formula Presented], then [Formula Presented]=0 and [Formula Presented]=1. This implies an undistributed diffusion field in the liquid (diffusionless solidification) and complete solute trapping at V>[Formula Presented]. © 1997 The American Physical Society.

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