Numerical study of the shape and integral parameters of a dendrite

Details Numerical study of the shape and integral parameters of a dendrite Numerical study of the shape and integral parameters of a dendrite

2004-09-23

arxiv.org/abs/cond-mat/0409617v1

Physics

Condensed Matter

Materials Science

10 pages, 7 figures, Accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.70.051612

We present a numerical study of sidebranching of a solidifying dendrite by means of a phase--field model. Special attention is paid to the regions far from the tip of the dendrite, where linear theories are no longer valid. Two regions have been distinguished outside the linear region: a first one in which sidebranching is in a competition process and a second one further down where branches behave as independent of each other. The shape of the dendrite and integral parameters characterizing the whole dendrite (contour length and area of the dendrite) have been computed and related to the characteristic tip radius for both surface tension and kinetic dominated dendrites. Conclusions about the different behaviors observed and comparison with available experiments and theoretical predictions are presented.

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