A MATHEMATICAL-MODEL FOR DIFFUSION AND EXCHANGE PHENOMENA IN ULTRA NAPKINS

被引：1
|
作者：
WEICKERT, J
机构：
[1] University of Kaiserslautern, Laboratory of Technomathematics, Kaiserslautern, D-W-6750
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1993年 / 16卷 / 11期
关键词：
D O I：
10.1002/mma.1670161102
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The performance of napkins is nowadays improved substantially by embedding granules of a superabsorbent into the cellulose matrix. In this paper a continuous model for the liquid transport in such an 'ultra napkin' is proposed. Its mean feature is a non-linear diffusion equation strongly coupled with an ODE describing a reversible absorption process. An efficient numerical method based on a symmetrical time splitting and a finite difference scheme of ADI-predictor-corrector type has been developed to solve these equations in a three-dimensional setting. Numerical results are presented that can be used to optimize the granule distribution.
引用
收藏
页码：759 / 777
页数：19
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