Asymptotic Solution of Dendritic Growth in External Flow (II): The Case of PR → ∞

  • Jian-Jun Xu
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 7)


For the case of large Prandtl number Pr ≫ 1 with \({\overline U _\infty } = \frac{{{U_\infty }}}{U} = O(1)\), we adopt
$${\varepsilon _2} = \frac{1}{{\Pr }} \ll 1$$
as the basic small parameter and attempt to find a uniformly valid asymptotic expansion solution for the problem in the limit ε 2 → 0. The governing equations and boundary conditions are the same as given in the previous chapter.


Flow Field Stream Function Asymptotic Solution Interface Condition Dendritic Growth 
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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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