Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces
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...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-09-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.196/ |
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| author | Millet, Olivier Gagneux, Gérard |
| author_facet | Millet, Olivier Gagneux, Gérard |
| author_sort | Millet, Olivier |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0c3ea18e452247a38118a4cb43bb4b88 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-0c3ea18e452247a38118a4cb43bb4b882025-02-07T13:47:30ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-09-01351S211512310.5802/crmeca.19610.5802/crmeca.196Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forcesMillet, Olivier0Gagneux, Gérard1LaSIE, UMR-CNRS 7356, Université de La Rochelle, avenue Michel Crépeau,17042 La Rochelle cedex 1, FranceLaSIE, UMR-CNRS 7356, Université de La Rochelle, avenue Michel Crépeau,17042 La Rochelle cedex 1, FranceThis 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.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.196/Distortion of capillary bridgesMean and Gaussian curvatures impactGeneralized Young–Laplace equationBending effects |
| spellingShingle | Millet, Olivier Gagneux, Gérard Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces Comptes Rendus. Mécanique Distortion of capillary bridges Mean and Gaussian curvatures impact Generalized Young–Laplace equation Bending effects |
| title | Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces |
| title_full | Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces |
| title_fullStr | Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces |
| title_full_unstemmed | Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces |
| title_short | Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces |
| title_sort | bending effects distorting axisymmetric capillary bridges generalized young laplace equation and associated capillary forces |
| topic | Distortion of capillary bridges Mean and Gaussian curvatures impact Generalized Young–Laplace equation Bending effects |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.196/ |
| work_keys_str_mv | AT milletolivier bendingeffectsdistortingaxisymmetriccapillarybridgesgeneralizedyounglaplaceequationandassociatedcapillaryforces AT gagneuxgerard bendingeffectsdistortingaxisymmetriccapillarybridgesgeneralizedyounglaplaceequationandassociatedcapillaryforces |