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Side-branch growth in two-dimensional dendrits. Part II: Phase-field model
Couder, Yves; González Cinca, Ricard; Hernández Machado, Aurora
Universitat de Barcelona
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.
Dinàmica de fluids
Equacions en derivades parcials
Fluid dynamics
Partial differential equations
(c) The American Physical Society, 2005
The American Physical Society

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