caa a22 4500 463163397 CHVBK 20180406164754.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s11242-006-9002-6 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9002-6 Analysis of wet pressing of paper: the three-phase model. Part I: constant air density [Elektronische Daten] [D. Bežanović, C. van Duijn, E. Kaasschieter] In this study, we consider a one-dimensional three-phase model describing wet pressing of paper. Part I is devoted to the simplified case in which air is assumed incompressible. In Part II we drop this assumption. The model is formulated in terms of water saturation and void ratio and it uses a material coordinate to describe spatial dependence. It also involves cross or matching conditions between the wet paper and the felt. In mathematical terms, we end up with a coupled system of equations: a nonlinear diffusion equation and a first order hyperbolic equation. We present some analytical observations to explain the essential behaviour of the model and we carry out numerical experiments using an upwind and a front tracking method. Springer Science+Business Media B.V., 2006 Paper pressing nationallicence Parabolic-hyperbolic system nationallicence Cross conditions nationallicence Upwind and front tracking method nationallicence Bežanović D. Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600, Eindhoven, MB, The Netherlands aut van Duijn C. Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600, Eindhoven, MB, The Netherlands aut Kaasschieter E. Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600, Eindhoven, MB, The Netherlands aut Transport in Porous Media Kluwer Academic Publishers 67/1(2007-03-01), 93-113 0169-3913 67:1<93 2007 67 11242 https://doi.org/10.1007/s11242-006-9002-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9002-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bežanović D. Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600, Eindhoven, MB, The Netherlands aut NATIONALLICENCE 700 1- van Duijn C. Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600, Eindhoven, MB, The Netherlands aut NATIONALLICENCE 700 1- Kaasschieter E. Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600, Eindhoven, MB, The Netherlands aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 67/1(2007-03-01), 93-113 0169-3913 67:1<93 2007 67 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 463163397 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer