Nonlinear Stefan problem with convective boundary condition in Storm's materials

被引：10

作者：

Briozzo, Adriana C. ^{[1
,2
]}

Natale, Maria F. ^{[1
]}

机构：

[1] Univ Austral, FCE, Dept Matemat, Paraguay 1950 S2000FZF, Rosario, Argentina

[2] Consejo Nacl Invest Cient & Tecn, Paraguay 1950 S2000FZF, Rosario, Argentina

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 02期

关键词：

Stefan problem; Free boundary problem; Phase change process; Similarity solution; HEAT-CONDUCTION; TRANSFORMATION;

D O I：

10.1007/s00033-015-0615-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear one-dimensional Stefan problem for a semi-infinite material x > 0, with phase change temperature Tf. We assume that the heat capacity and the thermal conductivity satisfy a Storm's condition, and we assume a convective boundary condition at the fixed face x = 0. A unique explicit solution of similarity type is obtained. Moreover, asymptotic behavior of the solution when h -> +infinity is studied.

引用

页数：11

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