A numerical model for the transport and drying of solutions in thin porous media: Coffee-stain effect and solute ring formation

S. Wang; A. A. Darhuber

doi:10.1016/j.colsurfa.2023.132839

A numerical model for the transport and drying of solutions in thin porous media: Coffee-stain effect and solute ring formation

S. Wang, A. A. Darhuber

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Abstract

We have developed a comprehensive numerical model for the transport and drying of solutions in thin porous media that consist of permeable fibers such as paper. We explicitly account for the gas-phase transport dynamics. Moreover, we introduce an empirical relation for the concentration- and molecular-weight dependence of the pore-fiber transport rate of the solutes. These two key elements enable us for the first time to realistically model two important phenomena relevant to inkjet printing technology. The first is the equivalent of the coffee-stain effect for dilute solutions in porous media. The second is the formation of solute rings for concentrated aqueous mixtures of compounds with a molecular weight significantly above that of water. Whereas the first is governed by spatially non-uniform solvent evaporation, the second case is dominated by solvent-mediated pore-fiber transport. We achieved a good qualitative agreement with the available experimental data.

Original language	English
Article number	132839
Number of pages	12
Journal	Colloids and Surfaces A: Physicochemical and Engineering Aspects
Volume	682
DOIs	https://doi.org/10.1016/j.colsurfa.2023.132839
Publication status	Published - 5 Feb 2024

Bibliographical note

Publisher Copyright:
© 2023 The Author(s)

Funding

This work is part of an Industrial Partnership Programme (i43-FIP) of the Foundation for Fundamental Research on Matter (FOM), which is part of the Netherlands Organization for Scientific Research (NWO) . This research programme is co-financed by Canon Production Printing , University of Twente , Eindhoven University of Technology , and the “Topconsortia voor Kennis en lnnovatie (TKl)” allowance from the Ministry of Economic Affairs . The authors thank Nicolae Tomozeiu of Canon Production Printing for the fruitful cooperation.

Funders	Funder number
Stichting voor Fundamenteel Onderzoek der Materie
University of Twente
Eindhoven University of Technology
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Ministerie van Economische Zaken en Klimaat

Keywords

Co-solvents
Coffee stain effect
Darcy flow
Inkjet printing
Multi-component flow
Thin porous media

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abstract = "We have developed a comprehensive numerical model for the transport and drying of solutions in thin porous media that consist of permeable fibers such as paper. We explicitly account for the gas-phase transport dynamics. Moreover, we introduce an empirical relation for the concentration- and molecular-weight dependence of the pore-fiber transport rate of the solutes. These two key elements enable us for the first time to realistically model two important phenomena relevant to inkjet printing technology. The first is the equivalent of the coffee-stain effect for dilute solutions in porous media. The second is the formation of solute rings for concentrated aqueous mixtures of compounds with a molecular weight significantly above that of water. Whereas the first is governed by spatially non-uniform solvent evaporation, the second case is dominated by solvent-mediated pore-fiber transport. We achieved a good qualitative agreement with the available experimental data.",

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A numerical model for the transport and drying of solutions in thin porous media: Coffee-stain effect and solute ring formation

Abstract

Bibliographical note

Funding

Keywords

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