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Dendritic growth in a channel

Physical Review A, 1986
We study the growth of dendritic crystals from a supersaturated solution in a channel geometry. This model provides a continuous interpolation between the Saffman-Taylor problem and the (two-dimensional) free-space dendrite. We derive an integral equation for the shape of steady-state propagating fingers, which we treat by discretizing the curve and ...
, Kessler, , Koplik, , Levine
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Dendritic growth of ZnS crystals

Acta Physica Academiae Scientiarum Hungaricae, 1965
The dendritic growth of ZnS crystals in the form of long ribbons, plates and needles was observed when ZnS crystallized from liquid Ga. The cubic ribbons and plates propagated in the directions, the needles were hexagonal and their main propagation was parallel to the c-axis.
I. Bertóti, E. Lendvay, M. Farkas‐Jahnke, M. Hársy, P. Kovács   +4 more
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Origin of sidebranching in dendritic growth

Physical Review A, 1987
We present mechanisms for sidebranch generation in dendritic growth, stressing the importance of nonlinear effects. One such mechanism, which we call solvability-induced sidebranching, relies on the fact that the steady states form a discrete family. In addition, time-dependent simulations of crystal growth in the boundary-layer model are performed. We
, Martin, , Goldenfeld
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Impurity effect on dendritic growth

Physical Review A, 1989
We consider the effects of impurities on the velocity selection of a needle crystal, in the small thermal and solutal Peclet numbers. As in the case of the growth in a pure melt, steady solutions for needle crystals are found only if surface tension is anisotropic.
, Ben Amar M, , Pelcé
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