A DERIVATION OF A PHASE FIELD MODEL WITH FLUID PROPERTIES

被引：7

作者：

CAGINALP, G ^{[1
]}

JONES, J ^{[1
]}

机构：

[1] UNIV PITTSBURGH,DEPT MATH,PITTSBURGH,PA 15260

来源：

APPLIED MATHEMATICS LETTERS | 1991年 / 4卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0893-9659(91)90178-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the basic phase field model to physical problems in which fluid properties, such as velocity, pressure and density variations, are incorporated along with heat properties within the context of a unified and consistent derivation. One thereby obtains a system of parabolic differential equations with the variables temperature, phase, fluid velocity, density and pressure. The constants in the equations can be related to a rate constant and to equilibrium values in the pure phases.

引用

页码：97 / 100

页数：4

共 6 条

[1] STEFAN AND HELE-SHAW TYPE MODELS AS ASYMPTOTIC LIMITS OF THE PHASE-FIELD EQUATIONS [J].