A mathematical model for diffusion and exchange phenomena in ultra napkins

摘要

AbstractThe 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 d