TY - JOUR
T1 - A two-dimensional model of the pressing section of a paper machine including dynamic capillary effects
AU - Iliev, Oleg P.
AU - Printsypar, Galina
AU - Rief, Stefan
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2013/5/15
Y1 - 2013/5/15
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/562764
UR - http://link.springer.com/10.1007/s10665-012-9619-0
UR - http://www.scopus.com/inward/record.url?scp=84888438319&partnerID=8YFLogxK
U2 - 10.1007/s10665-012-9619-0
DO - 10.1007/s10665-012-9619-0
M3 - Article
VL - 83
SP - 81
EP - 107
JO - Journal of Engineering Mathematics
JF - Journal of Engineering Mathematics
SN - 0022-0833
IS - 1
ER -