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...
Ausführliche Beschreibung
Autor*in: |
Millet, Olivier [verfasserIn] Gagneux, Gérard [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch ; Französisch |
Erschienen: |
2023 |
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Schlagwörter: |
Distortion of capillary bridges Mean and Gaussian curvatures impact |
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Übergeordnetes Werk: |
In: Comptes Rendus. Mécanique - Académie des sciences, 2022, 351(2023), S2, Seite 115-123 |
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Übergeordnetes Werk: |
volume:351 ; year:2023 ; number:S2 ; pages:115-123 |
Links: |
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DOI / URN: |
10.5802/crmeca.196 |
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Katalog-ID: |
DOAJ092554970 |
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10.5802/crmeca.196 doi (DE-627)DOAJ092554970 (DE-599)DOAJ0c3ea18e452247a38118a4cb43bb4b88 DE-627 ger DE-627 rakwb eng fre TA401-492 Millet, Olivier verfasserin aut Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Distortion of capillary bridges Mean and Gaussian curvatures impact Generalized Young–Laplace equation Bending effects Materials of engineering and construction. Mechanics of materials Gagneux, Gérard verfasserin aut In Comptes Rendus. Mécanique Académie des sciences, 2022 351(2023), S2, Seite 115-123 (DE-627)348585381 (DE-600)2079504-X 18737234 nnns volume:351 year:2023 number:S2 pages:115-123 https://doi.org/10.5802/crmeca.196 kostenfrei https://doaj.org/article/0c3ea18e452247a38118a4cb43bb4b88 kostenfrei https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.196/ kostenfrei https://doaj.org/toc/1873-7234 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2004 GBV_ILN_2014 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 351 2023 S2 115-123 |
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10.5802/crmeca.196 doi (DE-627)DOAJ092554970 (DE-599)DOAJ0c3ea18e452247a38118a4cb43bb4b88 DE-627 ger DE-627 rakwb eng fre TA401-492 Millet, Olivier verfasserin aut Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Distortion of capillary bridges Mean and Gaussian curvatures impact Generalized Young–Laplace equation Bending effects Materials of engineering and construction. Mechanics of materials Gagneux, Gérard verfasserin aut In Comptes Rendus. Mécanique Académie des sciences, 2022 351(2023), S2, Seite 115-123 (DE-627)348585381 (DE-600)2079504-X 18737234 nnns volume:351 year:2023 number:S2 pages:115-123 https://doi.org/10.5802/crmeca.196 kostenfrei https://doaj.org/article/0c3ea18e452247a38118a4cb43bb4b88 kostenfrei https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.196/ kostenfrei https://doaj.org/toc/1873-7234 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2004 GBV_ILN_2014 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 351 2023 S2 115-123 |
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10.5802/crmeca.196 doi (DE-627)DOAJ092554970 (DE-599)DOAJ0c3ea18e452247a38118a4cb43bb4b88 DE-627 ger DE-627 rakwb eng fre TA401-492 Millet, Olivier verfasserin aut Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Distortion of capillary bridges Mean and Gaussian curvatures impact Generalized Young–Laplace equation Bending effects Materials of engineering and construction. Mechanics of materials Gagneux, Gérard verfasserin aut In Comptes Rendus. Mécanique Académie des sciences, 2022 351(2023), S2, Seite 115-123 (DE-627)348585381 (DE-600)2079504-X 18737234 nnns volume:351 year:2023 number:S2 pages:115-123 https://doi.org/10.5802/crmeca.196 kostenfrei https://doaj.org/article/0c3ea18e452247a38118a4cb43bb4b88 kostenfrei https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.196/ kostenfrei https://doaj.org/toc/1873-7234 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2004 GBV_ILN_2014 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 351 2023 S2 115-123 |
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10.5802/crmeca.196 doi (DE-627)DOAJ092554970 (DE-599)DOAJ0c3ea18e452247a38118a4cb43bb4b88 DE-627 ger DE-627 rakwb eng fre TA401-492 Millet, Olivier verfasserin aut Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Distortion of capillary bridges Mean and Gaussian curvatures impact Generalized Young–Laplace equation Bending effects Materials of engineering and construction. Mechanics of materials Gagneux, Gérard verfasserin aut In Comptes Rendus. Mécanique Académie des sciences, 2022 351(2023), S2, Seite 115-123 (DE-627)348585381 (DE-600)2079504-X 18737234 nnns volume:351 year:2023 number:S2 pages:115-123 https://doi.org/10.5802/crmeca.196 kostenfrei https://doaj.org/article/0c3ea18e452247a38118a4cb43bb4b88 kostenfrei https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.196/ kostenfrei https://doaj.org/toc/1873-7234 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2004 GBV_ILN_2014 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 351 2023 S2 115-123 |
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10.5802/crmeca.196 doi (DE-627)DOAJ092554970 (DE-599)DOAJ0c3ea18e452247a38118a4cb43bb4b88 DE-627 ger DE-627 rakwb eng fre TA401-492 Millet, Olivier verfasserin aut Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Distortion of capillary bridges Mean and Gaussian curvatures impact Generalized Young–Laplace equation Bending effects Materials of engineering and construction. Mechanics of materials Gagneux, Gérard verfasserin aut In Comptes Rendus. Mécanique Académie des sciences, 2022 351(2023), S2, Seite 115-123 (DE-627)348585381 (DE-600)2079504-X 18737234 nnns volume:351 year:2023 number:S2 pages:115-123 https://doi.org/10.5802/crmeca.196 kostenfrei https://doaj.org/article/0c3ea18e452247a38118a4cb43bb4b88 kostenfrei https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.196/ kostenfrei https://doaj.org/toc/1873-7234 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2004 GBV_ILN_2014 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 351 2023 S2 115-123 |
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Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces |
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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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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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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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score |
7.4002886 |