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Imbibition with swelling: Capillary rise in thin deformable porous media
Department of Chemical and Biological Engineering, University of British Columbia, Vancouver, British Columbia, Canada.ORCID iD: 0000-0002-6438-4563
Department of Chemical and Biological Engineering, University of British Columbia, Vancouver, British Columbia, Canada.
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom.
Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada.
2017 (English)In: Physical Review Fluids, E-ISSN 2469-990X, Vol. 2, no 7Article in journal (Refereed) Published
Abstract [en]

The imbibition of a liquid into a thin deformable porous substrate driven by capillary suction is considered. The substrate is initially dry and has uniform porosity and thickness. Two-phase flow theory is used to describe how the liquid flows through the pore space behind the wetting front when out-of-plane deformation of the solid matrix is considered. Neglecting gravity and evaporation, standard shallow-layer scalings are used to construct a reduced model of the dynamics. The model predicts convergence to a self-similar behavior in all regions except near the wetting front, where a boundary layer arises whose structure narrows with the advance of the front. Over time, the rise height approaches the similarity scaling of t1/2, as in the classical Washburn or BCLW law. The results are compared with a series of laboratory experiments using cellulose paper sheets, which provide qualitative agreement.

Place, publisher, year, edition, pages
American Physical Society (APS) , 2017. Vol. 2, no 7
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-320748DOI: 10.1103/physrevfluids.2.074001ISI: 000406048300002Scopus ID: 2-s2.0-85035349196OAI: oai:DiVA.org:kth-320748DiVA, id: diva2:1707450
Note

QC 20221102

Available from: 2022-10-31 Created: 2022-10-31 Last updated: 2023-09-06Bibliographically approved

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Kvick, Mathias

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