A two-dimensional model of the pressing section of a paper machine including dynamic capillary effects

Oleg P. Iliev, Galina Printsypar, Stefan Rief

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Paper production is a problem with significant importance for society; it is also a challenging topic for scientific investigation. This study is concerned with the simulation of the pressing section of a paper machine. A two-dimensional model is developed to account for the water flow within the pressing zone. A Richards-type equation is used to describe the flow in the unsaturated zone. The dynamic capillary pressure-saturation relation is adopted for the paper production process. The mathematical model accounts for the coexistence of saturated and unsaturated zones in a multilayer computational domain. The discretization is performed by the MPFA-O method. Numerical experiments are carried out for parameters that are typical of the production process. The static and dynamic capillary pressure-saturation relations are tested to evaluate the influence of the dynamic capillary effect. © 2013 Springer Science+Business Media Dordrecht.
Original languageEnglish (US)
Pages (from-to)81-107
Number of pages27
JournalJournal of Engineering Mathematics
Volume83
Issue number1
DOIs
StatePublished - May 15 2013

ASJC Scopus subject areas

  • Engineering(all)
  • Mathematics(all)

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