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Article Dans Une Revue Journal of Fluid Mechanics Année : 2023

Imbibition and collapse between swelling fibres

Pierre van de Velde
Julien Dervaux
Camille Duprat
Suzie Protière

Résumé

While capillary imbibition in tubes or porous materials has been studied extensively in the past, less attention has been paid to imbibition into a swellable porous material. However, swelling is commonly observed when a polymeric network, such as the cellulose composing paper fibres or sponges, absorbs a solvent. The incompressibility of the fluid leads to an elastic expansion of the polymeric matrix. In a porous material, swelling can affect the geometry of the pores, thus affecting the capillary flow. To describe this complex problem, we propose a model experiment, namely the capillary imbibition in a model pore composed of two parallel and stretched elastomeric fibres. In this configuration, one can observe both the progression of a capillary meniscus and the swelling of the fibres. We show that swelling enables a capillary imbibition for fibres placed further apart than the critical distance existing for non-swelling fibres. In this swelling-dominated regime, we identify a new imbibition dynamic at constant velocity which we rationalize using a linear poro-elastic theory. Finally, we describe the elastocapillary collapse of our model pore which is observed when capillary forces overcome the restoring tension force within the fibres.
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Dates et versions

hal-04424892 , version 1 (29-01-2024)

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Pierre van de Velde, Julien Dervaux, Camille Duprat, Suzie Protière. Imbibition and collapse between swelling fibres. Journal of Fluid Mechanics, 2023, 978, pp.A2. ⟨10.1017/jfm.2023.976⟩. ⟨hal-04424892⟩
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