J. Weickert,
The modelling of napkins,
F. Hodnett (Ed.), Proc. Sixth European Conf. on Mathematics in
Industry, Teubner, Stuttgart, 297-300, 1992.
The behaviour of Ultra napkins is investigated by a mathematical
model focusing on liquid transport within the cellulose and liquid
exchange between cellulose and granules of a superabsorbent.
The model ends up with a nonlinear PDE strongly coupled with an ODE.
Numerically this system is treated by means of a symmetric time
splitting, leading to pure diffusion and pure exchange processes.
While the exchange equation can be solved analytically, an
ADI-predictor-corrector method is applied to the diffusion equation.
The resultant computer programme can be used to propose impoved
napkins with inhomogeneous granule distributions.
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.