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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.
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.
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.
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