A Mathematical Model for Diffusion and Exchange Phenomena in Ultra Napkins
- 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 nonlinear diffusion equation strongly coupled with an ODE describing a reversible absorbtion 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.
Author: | Joachim Weickert |
---|---|
URN: | urn:nbn:de:hbz:386-kluedo-6788 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (72) |
Document Type: | Article |
Language of publication: | English |
Year of Completion: | 1992 |
Year of first Publication: | 1992 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/10/17 |
Tag: | mathematical modeling; nonlinear diffusion; operator splitting |
Source: | Math. Meth. Appl. Sci., Vol 16, 759 - 777, 1993 |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
MSC-Classification (mathematics): | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] / 35K57 Reaction-diffusion equations |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |