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

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    Type
    Article
    Authors
    Iliev, Oleg P.
    Printsypar, Galina cc
    Rief, Stefan
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Earth Science and Engineering Program
    Date
    2013-05-15
    Online Publication Date
    2013-05-15
    Print Publication Date
    2013-12
    Permanent link to this record
    http://hdl.handle.net/10754/562764
    
    Metadata
    Show full item record
    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.
    Citation
    Iliev, O., Printsypar, G., & Rief, S. (2013). A two-dimensional model of the pressing section of a paper machine including dynamic capillary effects. Journal of Engineering Mathematics, 83(1), 81–107. doi:10.1007/s10665-012-9619-0
    Publisher
    Springer Nature
    Journal
    Journal of Engineering Mathematics
    DOI
    10.1007/s10665-012-9619-0
    ae974a485f413a2113503eed53cd6c53
    10.1007/s10665-012-9619-0
    Scopus Count
    Collections
    Articles; Earth Science and Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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