Prediction of dendritic spacings in a directional-solidification experiment
- Department of Physics, University of California, Santa Barbara, California 93106-4030 (United States)
- Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030 (United States)
We present a theoretical analysis of the formation of a dendritic array in a directional-solidification experiment. Our calculation contains three sequential ingredients: acceleration of an initially flat interface and the concomitant buildup of a solutal boundary layer in front of it; onset of a morphological instability, triggered by thermal fluctuations, producing a relatively finely spaced array of dendritic tips; coarsening of this array and final selection of a steady-state primary spacing. For sufficiently large growth speeds, where the resulting dendrites interact with each other weakly, we find--with no adjustable parameters--good agreement with the experiments of Trivedi and Somboonsuk [Acta Metall. 33, 1061 (1985)] and Somboonsuk, Mason, and Trivedi [Metall. Trans A 15A, 967 (1984)].
- DOE Contract Number:
- FG03-84ER45108
- OSTI ID:
- 6710860
- Journal Information:
- Physical Review E; (United States), Vol. 47:4; ISSN 1063-651X
- Country of Publication:
- United States
- Language:
- English
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