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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