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Droplet Imbibition into Paper Coating Layer: Pore-Network Modeling Simulation.

X Yin¹, H Aslannejad¹, E T de Vries¹

¹Department of Earth Sciences, Utrecht University, Utrecht, The Netherlands.

Transport in Porous Media

|November 6, 2018

Summary

Liquid penetration in paper coatings deviates from Darcy's law predictions. A dynamic pore-network model reveals a linear volume decrease and no sharp invasion front, suggesting Richards equation is more suitable.

Keywords:

Droplet penetration Imbibition Paper coating layer Pore-network model

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Area of Science:

Porous media physics
Fluid dynamics
Materials science

Background:

Liquid penetration in porous materials like paper is crucial for applications such as inkjet printing.
Current simulations often rely on continuum-scale single-phase Darcy's law, assuming a sharp invasion front.

Purpose of the Study:

To investigate the pore-scale mechanisms of liquid imbibition into paper coatings.
To challenge the assumption of a sharp invasion front in Darcy's law simulations.
To determine a more appropriate model for liquid penetration in thin porous media.

Main Methods:

Developed a dynamic pore-network model for simulating wetting phase imbibition from a droplet.
Utilized FIB-SEM imaging to obtain realistic pore structures of paper coating material (3.5 nm resolution).
Extracted and statistically generated pore networks using Avizo software for droplet penetration simulations.

Main Results:

Simulations revealed no sharp invasion front and the presence of residual non-wetting phase.
Observed an approximately linear decrease in droplet volume over time, contradicting Darcy's law predictions.
Increasing flow rate shifted the invasion front from percolation-like to sharper, reducing non-wetting phase trapping.

Conclusions:

Single-phase Darcy's law is inadequate for describing liquid penetration in paper coating layers.
Richards equation is proposed as a more suitable model for these phenomena.
Pore-scale dynamics significantly influence macroscopic liquid penetration behavior.