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2005

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18751

Side-branch growth in two-dimensional dendrits. Part II: Phase-field model

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http://dx.doi.org/10.1103/PhysRevE.71.05160

Abstract

The development of side-branching in solidifying dendrites in a regime of large values of the Peclet number is studied by means of a phase-field model. We have compared our numerical results with experiments of the preceding paper and we obtain good qualitative agreement. The growth rate of each side branch shows a power-law behavior from the early stages of its life. From their birth, branches which finally succeed in the competition process of side-branching development have a greater growth exponent than branches which are stopped. Coarsening of branches is entirely defined by their geometrical position relative to their dominant neighbors. The winner branches escape from the diffusive field of the main dendrite and become independent dendrites.

Subject

Dinàmica de fluids, Equacions en derivades parcials, Solidificació

Subject (English)

Fluid dynamics, Partial differential equations

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

COUDER, Yves, GONZÁLEZ CINCA, Ricard and HERNÁNDEZ MACHADO, Aurora. Side-branch growth in two-dimensional dendrits. Part II: Phase-field model. Physical Review E. 2005. Vol. E71, num. 051601-1-051601-7. ISSN 1063-651X. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/18751

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