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

Autor: Millet, Olivier, Gagneux, Gérard
Jazyk: English<br />French
Rok vydání: 2023
Předmět:
Zdroj: Comptes Rendus. Mécanique, Vol 351, Iss S2, Pp 115-123 (2023)
Druh dokumentu: article
ISSN: 1873-7234
DOI: 10.5802/crmeca.196
Popis: 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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