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

Abstract

For the case of large Prandtl number Pr ≫ 1 with ${\overline U _\infty } = \frac{{{U_\infty }}}{U} = O(1)$, we adopt

$${\varepsilon _2} = \frac{1}{{\Pr }} \ll 1$$

((6.1))

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.