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

• This work presents the dynamic capillary pressure model (Hassanizadeh, Gray, 1990, 1993a) adapted for the needs of paper manufacturing process simulations. The dynamic capillary pressure-saturation relation is included in a one-dimensional simulation model for the pressing section of a paper machine. The one-dimensional model is derived from a two-dimensional model by averaging with respect to the vertical direction. Then, the model is discretized by the finite volume method and solved by Newton’s method. The numerical experiments are carried out for parameters typical for the paper layer. The dynamic capillary pressure-saturation relation shows significant influence on the distribution of water pressure. The behaviour of the solution agrees with laboratory experiments (Beck, 1983).

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Author: O. Iliev, G. Printsypar, S. Rief urn:nbn:de:hbz:386-kluedo-16986 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (206) Report English 2011 2011 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik dynamic capillary pressure ; finite volume method ; pressing section of a paper machine; steady modified Richards’ equation Fraunhofer (ITWM) 510 Mathematik

$Rev: 12793$