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Shapes, wavelength selection, and the cellular-dendritic transition in directional solidification

Physical Review A, ISSN: 1050-2947, Vol: 42, Issue: 12, Page: 7368-7376
1990
  • 39
    Citations
  • 0
    Usage
  • 8
    Captures
  • 0
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Metrics Details

  • Citations
    39
    • Citation Indexes
      39
  • Captures
    8

Article Description

We have studied cellular shapes in directionally solidified CBr4-Br2 and have shown that they follow a scaling law from the planar-cellular threshold Vc up to about (8-9)Vc: the shapes depend on the relative velocity =(V-Vc)/Vc, and not separately on the absolute velocity V or the temperature gradient G. A comparison with Saffman-Taylor profiles is found to be unsatisfactory. We then examined cellular widths and their variation along a given solidification front from threshold up to the appearance of dendrites. Again up to about (8-9)Vc, the dispersion is comparable to experimental uncertainties but beyond that point the width of some cells begins to increase spectacularly. These abnormally wide cells change shape, and the widest ones become dendrites once the Péclet number reaches 23. © 1990 The American Physical Society.

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