J. Weickert,
A mathematical model for diffusion and exchange phenomena in
Ultra napkins,
Math. Meth. Appl. Sci., Vol. 16, 759-777, 1993.
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 main feature is a non-linear diffusion equation strongly
coupled with an ODE describing a reverisble 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.
If you would like a hard copy of this article, please e-mail the
name of the publication and your physical mail address to:
Joachim.Weickert@ti.uni-mannheim.de.
Return to
Joachim Weickert's publication list.