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Article Dans Une Revue Comptes Rendus. Mécanique Année : 2023

Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces

Résumé

This study proposes a theoretical contribution to the problem of the various distortions affecting axisymmetric capillary bridges, due to gravity or to bending effects linked to the Gaussian curvature. We deduce a clear hierarchization of effects between various reference configurations and put in a prominent position an exact first integral for the Young–Laplace equations, classical or generalized. These relationships are taken advantage of to obtain the theoretical expression of the varying inter-particle force, quantified effects of flexural strength. Finally, we establish a generalization of the classical “gorge method” to calculate accurately the capillary force of a profile subjected to distorsion due to bending when the gravity effects are negligible or not taken into account.
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Dates et versions

hal-04224519 , version 1 (02-10-2023)

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Olivier Millet, Gérard Gagneux. Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces. Comptes Rendus. Mécanique, 2023, 351 (S2), pp.1-9. ⟨10.5802/crmeca.196⟩. ⟨hal-04224519⟩
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