Simulation of liquid penetration in paper

J. Hyväluoma, Pasi Raiskinmäki, Ari Jäsberg, Antti Koponen, Markku Kataja, J. Timonen

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Abstract

Capillary penetration of a wetting liquid in a microtomographic image of paper board, whose linear dimension was close to the average length of wood fibers, was simulated by the lattice-Boltzmann method. In spite of the size of the system not being large with respect to the size of structural inhomogeneities in the sample, for unidirectional penetration the simulated behavior was described well by that of the Lucas-Washburn equation, while for radial penetration a radial capillary equation described the behavior. In both cases the average penetration depth of the liquid front as a function of time followed a power law over many orders of magnitude. Capillary penetration of small droplets of liquid was also simulated in the same three-dimensional image of paper. In this case the simulation results could be described by a generalized form of the radial-penetration equation.
Original languageEnglish
Number of pages8
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume73
Issue number3
DOIs
Publication statusPublished - 2006
MoE publication typeA1 Journal article-refereed

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Penetration
penetration
Liquid
liquids
Simulation
simulation
Lattice Boltzmann Method
Wetting
Inhomogeneity
wetting
Power Law
inhomogeneity
Fiber
Three-dimensional
fibers

Cite this

Hyväluoma, J. ; Raiskinmäki, Pasi ; Jäsberg, Ari ; Koponen, Antti ; Kataja, Markku ; Timonen, J. / Simulation of liquid penetration in paper. In: Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2006 ; Vol. 73, No. 3.
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abstract = "Capillary penetration of a wetting liquid in a microtomographic image of paper board, whose linear dimension was close to the average length of wood fibers, was simulated by the lattice-Boltzmann method. In spite of the size of the system not being large with respect to the size of structural inhomogeneities in the sample, for unidirectional penetration the simulated behavior was described well by that of the Lucas-Washburn equation, while for radial penetration a radial capillary equation described the behavior. In both cases the average penetration depth of the liquid front as a function of time followed a power law over many orders of magnitude. Capillary penetration of small droplets of liquid was also simulated in the same three-dimensional image of paper. In this case the simulation results could be described by a generalized form of the radial-penetration equation.",
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Simulation of liquid penetration in paper. / Hyväluoma, J.; Raiskinmäki, Pasi; Jäsberg, Ari; Koponen, Antti; Kataja, Markku; Timonen, J.

In: Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, Vol. 73, No. 3, 2006.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Simulation of liquid penetration in paper

AU - Hyväluoma, J.

AU - Raiskinmäki, Pasi

AU - Jäsberg, Ari

AU - Koponen, Antti

AU - Kataja, Markku

AU - Timonen, J.

PY - 2006

Y1 - 2006

N2 - Capillary penetration of a wetting liquid in a microtomographic image of paper board, whose linear dimension was close to the average length of wood fibers, was simulated by the lattice-Boltzmann method. In spite of the size of the system not being large with respect to the size of structural inhomogeneities in the sample, for unidirectional penetration the simulated behavior was described well by that of the Lucas-Washburn equation, while for radial penetration a radial capillary equation described the behavior. In both cases the average penetration depth of the liquid front as a function of time followed a power law over many orders of magnitude. Capillary penetration of small droplets of liquid was also simulated in the same three-dimensional image of paper. In this case the simulation results could be described by a generalized form of the radial-penetration equation.

AB - Capillary penetration of a wetting liquid in a microtomographic image of paper board, whose linear dimension was close to the average length of wood fibers, was simulated by the lattice-Boltzmann method. In spite of the size of the system not being large with respect to the size of structural inhomogeneities in the sample, for unidirectional penetration the simulated behavior was described well by that of the Lucas-Washburn equation, while for radial penetration a radial capillary equation described the behavior. In both cases the average penetration depth of the liquid front as a function of time followed a power law over many orders of magnitude. Capillary penetration of small droplets of liquid was also simulated in the same three-dimensional image of paper. In this case the simulation results could be described by a generalized form of the radial-penetration equation.

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DO - 10.1103/PhysRevE.73.036705

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