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Imbibition with swe...
Imbibition with swelling : Capillary rise in thin deformable porous media
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- Kvick, Mathias (author)
- Department of Chemical and Biological Engineering, University of British Columbia, Vancouver, British Columbia, Canada
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- Martinez, D. Mark (author)
- Department of Chemical and Biological Engineering, University of British Columbia, Vancouver, British Columbia, Canada
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- Hewitt, Duncan R. (author)
- Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom
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- Balmforth, Neil J. (author)
- Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada
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(creator_code:org_t)
- 2017-07-21
- 2017
- English.
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In: Physical Review Fluids. - : American Physical Society (APS). - 2469-990X. ; 2:7
- Related links:
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https://discovery.uc...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- 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.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Strömningsmekanik och akustik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Fluid Mechanics and Acoustics (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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