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| VOLUME 61 (1995) | ISSUE 4 |
PAGE 285
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Growth of an acicular crystal near a wall
Brener E. A. , Saito Y. , Muller-Krumbhaar H. , Temkin D. E.
The growth of a 2D needle in a supercooled melt near a heat-insulating wall is analyzed. The capillary length d0 is assumed to be isotropic. A model in which the system is divided into a "free" part, away from the wall, and a part at the wall is proposed. The first part is described in a boundary-layer model, while the second is described in the approximation of a constant thickness of the gap between the wall and the crystal. Conditions for joining the diffusion fields and the two parts of the crystallization front are formulated. These conditions determine the growth velocity ν and the gap thickness «5 as a function of the supercooling Δ: v^0A(D/d0)A5, υδ/D-O.S.© 1995 American Institute of Physics.
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![](/ps/1201/article_18144_800_head.png "The growth of a 2D needle in a supercooled melt near a heat-insulating wall is analyzed. The capillary length <i>d<sub>0</sub> </i>is assumed to be isotropic. A model in which the system is divided into a "free" part, away from the wall, and a part at the wall is proposed. The first part is described in a boundary-layer model, while the second is described in the approximation of a constant thickness of the gap between the wall and the crystal. Conditions for joining the diffusion fields and the two parts of the crystallization front are formulated. These conditions determine the growth velocity <i>ν </i>and the gap thickness «5 as a function of the supercooling Δ: <i>v^0A(D/d<sub>0</sub>)A<sup>5</sup>, υδ/D-O.S.© 1995 American Institute of Physics.</i>")