A two-dimensional model of the pressing section of a paper machine including dynamic capillary effects
Type
ArticleKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionEarth Science and Engineering Program
Date
2013-05-15Online Publication Date
2013-05-15Print Publication Date
2013-12Permanent link to this record
http://hdl.handle.net/10754/562764
Metadata
Show full item recordAbstract
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/s10665-012-9619-0Publisher
Springer Natureae974a485f413a2113503eed53cd6c53
10.1007/s10665-012-9619-0