Stability of dendritic arrays

Journal Article · Sat Sep 15 00:00:00 EDT 1990 · Physical Review, A (General Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevA.42.3518· OSTI ID:6487156

Warren, J A ^[1]; Langer, J S ^[2]

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1. Department of Physics, University of California, Santa Barbara, CA (USA)
2. Institute for Theoretical Physics, University of California, Santa Barbara, CA (USA)

We propose an approximate method for studying steady-state properties and linear stability of the dendritic arrays that are formed in directional solidification of alloys. Our analysis is valid at high growth rates where the primary spacing between dendrites is larger than the velocity-dependent solutal diffusion length. We compute a neutral stability boundary and find that, in the situations where we expect our results to be valid, the experimental data of Somboonsuk, Mason, and Trivedi (Metall. Trans. A 15A, 967 (1984)) lie in the stable region, well away from the boundary.

• DOE Contract Number: FG03-84ER45108
• OSTI ID: 6487156
• Journal Information: Physical Review, A (General Physics); (USA), Journal Name: Physical Review, A (General Physics); (USA) Vol. 42:6; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360102* -- Metals & Alloys-- Structure & Phase Studies
ALLOYS
CRYSTALLIZATION
CRYSTALS
DENDRITES
PHASE TRANSFORMATIONS
STABILITY
STEADY-STATE CONDITIONS