Similarity law for the tilt angle of dendrites in directional solidification of non-axially-oriented crystals

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 4, 1997, Pages 4479-4485

  Akamatsu, Silvère ^a   Ihle, Thomas ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001370328     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.4479     Document Type: Article

References (24)

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15. can be used. Our experiments require much longer samples (7 cm).
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18. This value of (Formula presented) represents an upper bound for the average kinetic coefficient, knowing that the recoil of the front along the temperature gradient due to kinetic effects is not observable experimentally. As the shape of the α vs (Formula presented) master curve is essentially independent of (Formula presented) the determination of its precise value is not central for the present purpose. It is only worth noting that the relatively high value of the ratio (Formula presented) signals that we are well in the kinetic regime.
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21. only the anisotropy of the kinetic coefficient is able to stabilize dendrites tilted at angles higher than 40°.
22. A closely related situation has been investigated in a recent article by R. Kupferman and D. H. Kessler [Phys. Rev. E 51, R20 (1995)]. However, they imposed α to be equal to (Formula presented) Accordingly, they found stable tilted arrays of dendrites only for Péclet numbers higher than about 10 (their definition of (Formula presented) is equal to (Formula presented) times ours), which is compatible with our results.PLEEE8
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