Abstract

Dendritic pattern formation at the interface between liquid and solid is a commonly observed phenomenon in crystal growth and solidification process. Fig. 1.1 shows a snow flake, which describes a typical case of dendrite growth (Kobayashi and Furukawa, 1991, Takahashi et al, 1995).

Keywords

Convective Flow Dendritic Growth Heat Conduction Equation Thermal Diffusion Length Intrinsic Length Scale 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Jian-Jun Xu
    • 1
  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

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