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 |
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| URN: | urn:nbn:de:hbz:386-kluedo-16986 |
| Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (206) |
| Document Type: | Report |
| Language of publication: | English |
| Year of Completion: | 2011 |
| Year of first Publication: | 2011 |
| Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
| Date of the Publication (Server): | 2011/05/12 |
| GND Keyword: | steady modified Richards’ equation; finite volume method; dynamic capillary pressure; pressing section of a paper machine |
| Faculties / Organisational entities: | Fraunhofer (ITWM) |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |