Analysis of wet pressing of paper : the three-phase model. Part I : constant air density

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Abstract

In this study, we consider a one-dimensional three-phase model describing wet pressing of paper. Part I is devoted to the simplified case in which air is assumed incompressible. In Part II we drop this assumption. The model is formulated in terms of water saturation and void ratio and it uses a material coordinate to describe spatial dependence. It also involves cross or matching conditions between the wet paper and the felt. In mathematical terms, we end up with a coupled system of equations: a nonlinear diffusion equation and a first order hyperbolic equation. We present some analytical observations to explain the essential behaviour of the model and we carry out numerical experiments using an upwind and a front tracking method.
Original languageEnglish
Pages (from-to)93-113
JournalTransport in Porous Media
Volume67
Issue number1
DOIs
Publication statusPublished - 2007

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title = "Analysis of wet pressing of paper : the three-phase model. Part I : constant air density",
abstract = "In this study, we consider a one-dimensional three-phase model describing wet pressing of paper. Part I is devoted to the simplified case in which air is assumed incompressible. In Part II we drop this assumption. The model is formulated in terms of water saturation and void ratio and it uses a material coordinate to describe spatial dependence. It also involves cross or matching conditions between the wet paper and the felt. In mathematical terms, we end up with a coupled system of equations: a nonlinear diffusion equation and a first order hyperbolic equation. We present some analytical observations to explain the essential behaviour of the model and we carry out numerical experiments using an upwind and a front tracking method.",
author = "D. Bežanovic and {Duijn, van}, C.J. and E.F. Kaasschieter",
year = "2007",
doi = "10.1007/s11242-006-9002-6",
language = "English",
volume = "67",
pages = "93--113",
journal = "Transport in Porous Media",
issn = "0169-3913",
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Analysis of wet pressing of paper : the three-phase model. Part I : constant air density. / Bežanovic, D.; Duijn, van, C.J.; Kaasschieter, E.F.

In: Transport in Porous Media, Vol. 67, No. 1, 2007, p. 93-113.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Analysis of wet pressing of paper : the three-phase model. Part I : constant air density

AU - Bežanovic, D.

AU - Duijn, van, C.J.

AU - Kaasschieter, E.F.

PY - 2007

Y1 - 2007

N2 - In this study, we consider a one-dimensional three-phase model describing wet pressing of paper. Part I is devoted to the simplified case in which air is assumed incompressible. In Part II we drop this assumption. The model is formulated in terms of water saturation and void ratio and it uses a material coordinate to describe spatial dependence. It also involves cross or matching conditions between the wet paper and the felt. In mathematical terms, we end up with a coupled system of equations: a nonlinear diffusion equation and a first order hyperbolic equation. We present some analytical observations to explain the essential behaviour of the model and we carry out numerical experiments using an upwind and a front tracking method.

AB - In this study, we consider a one-dimensional three-phase model describing wet pressing of paper. Part I is devoted to the simplified case in which air is assumed incompressible. In Part II we drop this assumption. The model is formulated in terms of water saturation and void ratio and it uses a material coordinate to describe spatial dependence. It also involves cross or matching conditions between the wet paper and the felt. In mathematical terms, we end up with a coupled system of equations: a nonlinear diffusion equation and a first order hyperbolic equation. We present some analytical observations to explain the essential behaviour of the model and we carry out numerical experiments using an upwind and a front tracking method.

U2 - 10.1007/s11242-006-9002-6

DO - 10.1007/s11242-006-9002-6

M3 - Article

VL - 67

SP - 93

EP - 113

JO - Transport in Porous Media

JF - Transport in Porous Media

SN - 0169-3913

IS - 1

ER -