PERTURBATION SOLUTIONS OF DIFFUSION-CONTROLLED MOVING BOUNDARY PROBLEMS

被引:18
作者
DUDA, JL
VRENTAS, JS
机构
[1] Process Fundamentals Research Laboratory, The Dow Chemical Company, Midland, MI
关键词
D O I
10.1016/0009-2509(69)85018-9
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
A perturbation method is developed for the class of diffusion-controlled moving boundary problems for which the velocity of the interface is small compared to the rate of growth of the thickness of the concentration boundary layer. The mathematical formalism of the method is illustrated by applying both surface-volume and volume perturbation schemes to obtain series solutions to an example problem. In addition, the perturbation method is used to analyze the problem of diffusion in a finite region with a moving boundary. © 1969.
引用
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页码:461 / &
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