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Drying by pervaporation in elementary channel networks

Published online by Cambridge University Press:  09 November 2020

Benjamin Dollet Open the ORCID record for Benjamin Dollet [Opens in a new window] ,
Kennedy Nexon Chagua Encarnación ,
Romain Gautier  and
Philippe Marmottant
Benjamin Dollet*
Affiliation:
Univ. Grenoble Alpes, CNRS, LIPhy, 38000Grenoble, France
Kennedy Nexon Chagua Encarnación
Affiliation:
Univ. Grenoble Alpes, CNRS, LIPhy, 38000Grenoble, France
Romain Gautier
Affiliation:
Univ. Grenoble Alpes, CNRS, LIPhy, 38000Grenoble, France
Philippe Marmottant
Affiliation:
Univ. Grenoble Alpes, CNRS, LIPhy, 38000Grenoble, France
*
†Email address for correspondence: benjamin.dollet@univ-grenoble-alpes.fr
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Abstract

The drying dynamics inside a network of interconnected channels driven by pervaporation, e.g. by diffusion of water through a permeable material surrounding the channels, is studied. The channels are initially filled with water and a single air/water meniscus is initiated at the entrance of the network; drying proceeds as menisci progressively invade the network. The study is focused on elementary networks: simple branched networks without reconnections, or simple loops, in order to get a clear physical picture on which an understanding of drying on more complex networks, such as those encountered in leaves, could be built in the near future. Experiments are compared with models which elaborate on a previously published single-channel model (Dollet et al., J. R. Soc. Interface, vol. 16, 2019, 20180690). In branched networks, experiments reveal velocity discontinuities of the menisci as they split at the nodes. In loops, it is found that the drying rate depends on the number of menisci bounding a given connected water region; when there are two such menisci, a prediction of the dynamics of each of them is proposed, based on the pervaporation-induced hydrodynamics inside the channels. Experiments and model predictions compare favourably for the global drying rate. Some deviations are found for the dynamics of individual menisci, which are ascribed to the sensitivity of the dynamics to small fluctuations in wetting conditions.

JFM classification

Phase change: Condensation/evaporation Micro-/Nano-fluid dynamics: Microfluidics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 906 , 10 January 2021 , A6
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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