Analysis of Wet Pressing of Paper: The Three-Phase Model. Part II: Compressible Air Case

Transport in Porous Media - Tập 67 Số 2 - Trang 171-187 - 2007
Bežanović, D.1, Van Duijn, C. J.1, Kaasschieter, E. F.1
1Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands

Tóm tắt

In this study we consider a model of wet pressing of paper. We use the techniques and results from the first part of this paper, where a simplified model is studied in details. The model is, using suitable transformation, rewritten in the standard parabolic-hyperbolic form. Numerical solution for typical example is given and the effects of plastic deformations of paper are investigated. Finally, the model is employed to adres the problem of choosing an optimal pressing regime.

Tài liệu tham khảo

citation_title=Dynamics of Fluids in Porous Media; citation_publication_date=1972; citation_id=CR1; citation_author=J. Bear; citation_publisher=Elsevier citation_journal_title=Appita; citation_title=Steam boxes in press sections-possibilities and limitations; citation_author=E.L. Back; citation_volume=41; citation_issue=3; citation_publication_date=1998; citation_pages=217-223; citation_id=CR2 Bežanović, D.: 2005, Mathematical Modelling of Wet Paper Pressing. PhD thesis, Eindhoven University of Technology, 2005. citation_journal_title=J. Appl. Math. Mech.; citation_title=Analysis of paper pressing: the saturated one-dimensional case; citation_author=D. Bežanović, C. J. Duijn, E.F. Kaasschieter; citation_volume=86; citation_issue=1; citation_publication_date=2006; citation_pages=18-36; citation_id=CR4 Bežanović, D., van Duijn, C. J. and Kaasschieter, E. F.: 2007, Analysis of wet pressing of paper: the three-phase model. Part I: constant air density, Report CASA 05-16 of the Department of Mathematics and Computer Science, Eindhoven, University of Technology. In press. Coddington, E. A. and Levinson, N.: 1955, Theory of Ordinary Differential Equations, McGraw Hill. El-Hosseiny, F.: 1990, Nordic Pulp and Paper Research Journal 1, 28. Hall, C. A. and Porsching, T. A.: 1990, Numerical Analysis of Partial Differential Equations, Englewood Cliffs. citation_title=Multiphase Flow and Transport Processes in the Subsurface; citation_publication_date=1997; citation_id=CR9; citation_author=R. Helmig; citation_publisher=Springer Verlag citation_journal_title=J. Phys. D: Appl. Phys.; citation_title=Flow of water and air in a compressible porous medium. A model of wet pressing of paper; citation_author=M. Kataja, K. Hiltunen, J. Timonen; citation_volume=25; citation_publication_date=1992; citation_pages=1053-1063; citation_doi=10.1088/0022-3727/25/7/004; citation_id=CR10 Leveque, R. J.: 2002, Finite Volume Methods for Hyperbolic Problems, Cambridge university press. citation_journal_title=Nordic Pulp Paper Res. J.; citation_title=An elastic-viscoplastic model of the fibre network stress in wet pressing: Part I; citation_author=V. Lobosco, V. Kaul; citation_volume=16; citation_issue=1; citation_publication_date=2001; citation_pages=12-17; citation_id=CR12 Nilson, P and Larson, K. O.: 1968, Paper web performance in a press nip, Pulp Paper Mag. Canada December 20, 66–73. Paulapuro, H.: 2001, Wet pressing-present understanding and future challenges, 12th Fundamental Research Symposium, Oxford.