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- W3023346722 abstract "The growth model of a spherical crystal in the undercooled melt including the sur- face energy, interfacial kinetics and convective flow is established. The effect of the convective flow induced by a small far field flow on the evolution and morphologi- cal stability of the interface of the spherical crystal is studied. The interface shape of the spherical crystal, which is affected by the far field flow, and the dispersion relation of the growth rate of amplitude of the perturbed interface are derived. It is shown that the convection induced by the far field flow makes the interface of the growing spherical crystal further grow in the upstream direction of the far field flow and inhibit growth in the downstream direction; the interface of the decaying spherical crystal further decays in the upstream direction and inhibits decay in the downstream direction. The theoretical result suggests that both the growth of the sphere in the upstream direction and the decay of the sphere in the downstream direction make the spherical crystal tend to evolve into an oval; the morphological stability of the interface depends on a certain radius Rc such that the spherical crystal is unstable when its radius is greater than Rc and stable when its radius is less than Rc. The surface energy and interfacial kinetics have strong stabilizing effects on the growth of the spherical crystal. In the meantime interfacial kinetics is a stable factor of the interface when the interface of the sphere is growing; it is an unstable factor of the interface when the interface is decaying." @default.
- W3023346722 created "2020-05-13" @default.
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- W3023346722 date "2008-01-01" @default.
- W3023346722 modified "2023-10-17" @default.
- W3023346722 title "The evolution and morphological stability of a spherical crystal" @default.
- W3023346722 hasPublicationYear "2008" @default.
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