VELOCITY EFFECTS IN UNSTABLE SOLIDIFICATION

被引：7

作者：

STRAIN, J ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY LAWRENCE BERKELEY LAB,DIV PHYS,BERKELEY,CA 94720

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1990年 / 50卷 / 01期

关键词：

Heat Transfer--Solidification - Mathematical Techniques--Integral Equations;

D O I：

10.1137/0150001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The supercooled Stefan problem with surface tension is considered as a model of unstable solidification, with a general anisotropic curvature- and velocity-dependent boundary condition on the moving interface. The problem is reformulated in terms of a history-dependent singular integral equation for the velocity of the boundary. Using this equation, a new linear stability analysis of a flat interface is carried out and the smoothing role of velocity-dependence and the destabilizing effect of anisotropy are demonstrated. The results disagree with previous analyses because transient effects due to the initial temperature field are included, and numerical results are presented that confirm the analysis presented here. It is found that velocity effects cannot increase the range of unstable modes beyond that permitted by surface tension.

引用

页码：1 / 15

页数：15

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