Mathematical analysis and optimization of infiltration processes

被引：8

作者：

Chang H.-C. ^{[1
]}

Gottlieb D. ^{[2
]}

Marion M. ^{[3
]}

Sheldon B.W. ^{[4
]}

机构：

[1] Norton Co., Worcester, MA

[2] Division of Applied Mathematics, Brown University, Providence

[3] Department of Mathematiques, Ecole Centrale de Lyon

[4] Division of Engineering, Brown University, Providence

来源：

Journal of Scientific Computing | 1998年 / 13卷 / 3期

基金：

美国国家科学基金会;

关键词：

Infiltration processes; Optimization; Partial differential equations;

D O I：

10.1023/A:1023271100371

中图分类号：

学科分类号：

摘要：

A variety of infiltration techniques can be used to fabricate solid materials, particularly composites. In general these processes can be described with at least one time dependent partial differential equation describing the evolution of the solid phase, coupled to one or more partial differential equations describing mass transport through a porous structure. This paper presents a detailed mathematical analysis of a relatively simple set of equations which is used to describe chemical vapor infiltration. The results demonstrate that the process is controlled by only two parameters, a and β. The optimization problem associated with minimizing the infiltration time is also considered. Allowing α and βto vary with time leads to significant reductions in the infiltration time, compared with the conventional case where α and β are treated as constants.

引用

页码：303 / 321

页数：18

共 12 条

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