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Pattern formation in directional solidification under shear flow. I. Linear stability analysis and basic patterns.

Y Marietti1, J M Debierre, T M Bock

  • 1Laboratoire Matériaux et Microélectronique de Provence, Case 151, Faculté des Sciences de St. Jérôme, 13397 Marseille Cédex 20, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 2001
PubMed
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Shear flow destabilizes planar interfaces during directional solidification, altering the morphology diagram. Numerical analysis reveals new stripe patterns and pattern drift, with flow influencing defect elimination and oscillation thresholds.

Area of Science:

  • Materials Science
  • Fluid Dynamics
  • Solidification Physics

Background:

  • Directional solidification is crucial for materials processing.
  • Understanding interface stability is key to controlling microstructure.
  • The Mullins-Sekerka instability governs pattern formation.

Purpose of the Study:

  • To investigate the effect of shear flow on directional solidification.
  • To analyze modifications to the morphology diagram and pattern formation.
  • To explore the resulting pattern dynamics and stability.

Main Methods:

  • Asymptotic interface equation extension with a nonlocal shear flow term.
  • Linear stability analysis near the absolute stability limit.
  • Numerical analysis of bifurcation structure and pattern evolution.

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Main Results:

  • Shear flow destabilizes planar interfaces and modifies the morphology diagram.
  • New stripe patterns emerge alongside hexagonal cells.
  • Flow induces lateral pattern drift and influences defect elimination.
  • Locally oscillating structures appear closer to the instability threshold.

Conclusions:

  • Shear flow significantly alters solidification patterns and dynamics.
  • Flow introduces novel morphologies and pattern behaviors.
  • The study provides insights into controlling microstructure via flow manipulation.