Simulation of liquid penetration in paper

Hyväluoma, Jari; Raiskinmäki, P.; Jäsberg, Ari; Koponen, Antti; Kataja, M.; Timonen, J.

doi:10.1103/physreve.73.036705

Cited by 98 publications

(76 citation statements)

References 56 publications

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“…The model assumes a single-phase system with a moving front, and is valid in the limit of small gas pressure and density. This has been both experimentally and theoretically shown to be reasonable for a great number of systems involving liquids moving in porous media 4,6,[13][14][15][16][17][18] including by carefully obtaining the density profile at the front. 19 In the case of two immiscible liquids displacing each, the flow needs to be treated as a two-phase and will depend on both viscosities.…”

Section: Introductionmentioning

confidence: 99%

“…Estimations of the bulk flows in 2D and 3D expanding porous media were offered [13][14][15] suggesting that the time dependence of the flow deviates from the LW one-dimensional (1D) case. The cases of 2D radial flow where the front is represented by a gradually expanding circle was analyzed in detail by Hyväluoma et al 17 The authors compared the capillary driven flow D'Arcy type model to…”

Section: Introductionmentioning

confidence: 99%

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Potential flow in the presence of a sudden expansion: Application to capillary driven transport in porous media

Benner

Petsev

2013

Phys. Rev. E

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We present a theoretical analysis of the capillary driven transport of liquid in porous media that undergoes a sudden expansion. The use of appropriate coordinates allows for exactly and analytically solving different cases in two and three dimensions. The time dependence of liquid front motion in an expanding porous media is shown to be different from the one dimensional Lucas-Washburn (Kolloid Z., 1918 Xiao et al. (Langmuir, 2012. 28: p. 4208). These cases appear as asymptotic limits of our solutions. We also observe that capillary flow in expanding three dimensional porous materials exhibits a steady state solution for the bulk flow rate at the entrance of the expansion.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Potential flow in the presence of a sudden expansion: Application to capillary driven transport in porous media

Benner

Petsev

2013

Phys. Rev. E

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“…Analysis of various roughness parameters and their impact on spreading were done in their work. Hyväluoma et al (2006) studied penetration of a liquid in paperboard using Lattice Boltzmann method. They used reconstructed pore space of a sample imaged by micro tomography.…”

Section: Introductionmentioning

confidence: 99%

Movement of a liquid droplet within a fibrous layer: Direct pore-scale modeling and experimental observations

Aslannejad

Fathi

Hassanizadeh

et al. 2018

Chemical Engineering Science

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h i g h l i g h t sSpreading and penetration of a droplet on paper were simulated using a pore-scale model. The effect of change in contact angle and ink physical properties were studied. Contact angle of zero showed largest penetration and no moving away from jet location. Ink-like liquid moved slower than water droplet and its penetration depth was smaller. a r t i c l e i n f o b s t r a c tIn this study, the spreading of a liquid droplet on the surface of a fibrous paper and its penetration into the paper is studied. The spreading of the droplet was visualized using confocal microscopy and the penetration depth was quantified using Automatic Scanning Absorptiometry (ASA) measurements. The three-dimensional structure of the paper was obtained through micro-tomography imaging with a resolution of 0.9 mm. The obtained images were used to reconstruct the pore space, which was in turn used in direct numerical simulations of penetration of a droplet into paper. Simulations were performed using open source code OpenFOAM, which solves equations of two-phase flow (in our case air and water) in pores based on the Volume of Fluid Method. Simulation results showed a good agreement with the experimental observations. In particular, the dimensions of spreading area of a droplet and the depth of penetration were simulated reasonably well. Then, we used the model to investigate effects of changes in various liquid properties on spreading and penetration of a droplet liquid. We made calculations for three different values of contact angle (CA): 0°, 60°, and 120°. We found the largest penetration depth for CA = 0. For CA = 60 and CA = 120, we found that the liquid droplet moved sideways from the jetted location, which is not favorable in inkjet printing. We also made simulations with larger values for viscosity and density, based on properties of an ink-based liquid used in inkjet printing. The results have shown a slower spreading and penetration compared with water. The model can be used to study effects of changes in either ink physical properties or paper layer microstructure on final spreading/penetration extent.

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“…Hyväluoma et al used the so-called Shan-Chen lattice Boltzmann model to simulate two-phase fluid flow in a random porous medium, which consisted of a 3D reconstruction of a sample of paperboard, based on x-ray microtomography [14]. They found that, in spite of a rather small system size as compared with the heterogeneities in the structure, the simulated behavior was described well by the Lucas-Washburn equation.…”

Section: Introductionmentioning

confidence: 99%

Microfluidics of imbibition in random porous media

Wiklund

Uesaka

2013

Phys. Rev. E

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A free-energy lattice Boltzmann approach has been used to perform simulations of liquid penetration into random porous media. We focus our study on the effects of microstructures, particularly microtopography, on liquid penetration driven by capillary force and external pressure. For this purpose we set up a model structure that consists of a network of interconnected capillaries with varying pore geometries. The results showed that the discontinuities in the solid-surface curvature, as are present as corners on the capillary surfaces, have strong influences on liquid penetration through their pinning effects and interactions with local geometry.

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Simulation of liquid penetration in paper

Cited by 98 publications

References 56 publications

Potential flow in the presence of a sudden expansion: Application to capillary driven transport in porous media

Potential flow in the presence of a sudden expansion: Application to capillary driven transport in porous media

Movement of a liquid droplet within a fibrous layer: Direct pore-scale modeling and experimental observations

Microfluidics of imbibition in random porous media

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