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Titlebook: Structure and Dynamics of Partially Solidified Systems; David E. Loper (Professor of Mathematics) Book 1987 Martinus Nijhoff Publishers, D

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楼主: choleric
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Global Asymptotic Solution for Axisymmetric Dendrite Growth with Small Undercooling as long as the surface tension parameter is small enough there always exists a smooth needle like solution for a given undercooling temperature. This non-isothermal needle is close to the Ivantsov parabaloid.
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Local Convective Flows in Partly Solidified Alloysw melting point metallic system, Pb-Sn. Such channels are a few (<10) interdendritic spacings wide and several orders of magnitude longer, running approximately vertically; they arise from compositional-density-variations within the interdendritic and bulk liquid regions. The problems of channel nuc
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Nonlinear Analyses of Phase Change and Crystal Growth Phenomenaroad class of physical phenomena. The controlled unidirectional solidification of a pure substance or binary mixture under the influence of imposed temperature and/or solute gradients is an example of a phenomena of this sort. For the last twenty years, the morphological stability of freely growing
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Global Asymptotic Solution for Axisymmetric Dendrite Growth with Small Undercoolingender. Hence slender body theory is applicable. We obtain a self consistent uniformly valid asymptotic solution to the problems. Our results show that as long as the surface tension parameter is small enough there always exists a smooth needle like solution for a given undercooling temperature. This
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Phase Field Models of Free Boundary Problems: Exterior Boundaries Higher Order Equations and Anisotr dynamic problems is considered. A review is presented of recent results which lead to an extension of a Gibbs-Thompson relation. The issue of the intersection of the interface with external (container) boundaries is also discussed.
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