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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Gespeichert in:

Autor*in:	Millet, Olivier [verfasserIn] Gagneux, Gérard [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch ; Französisch

Erschienen:	2023

Schlagwörter:	Distortion of capillary bridges Mean and Gaussian curvatures impact Generalized Young–Laplace equation Bending effects

Übergeordnetes Werk:	In: Comptes Rendus. Mécanique - Académie des sciences, 2022, 351(2023), S2, Seite 115-123
Übergeordnetes Werk:	volume:351 ; year:2023 ; number:S2 ; pages:115-123

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.5802/crmeca.196

Katalog-ID:	DOAJ092554970

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language	English French
source	In Comptes Rendus. Mécanique 351(2023), S2, Seite 115-123 volume:351 year:2023 number:S2 pages:115-123
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callnumber-first	T - Technology
author	Millet, Olivier
spellingShingle	Millet, Olivier misc TA401-492 misc Distortion of capillary bridges misc Mean and Gaussian curvatures impact misc Generalized Young–Laplace equation misc Bending effects misc Materials of engineering and construction. Mechanics of materials Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces
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topic_title	TA401-492 Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces Distortion of capillary bridges Mean and Gaussian curvatures impact Generalized Young–Laplace equation Bending effects
topic	misc TA401-492 misc Distortion of capillary bridges misc Mean and Gaussian curvatures impact misc Generalized Young–Laplace equation misc Bending effects misc Materials of engineering and construction. Mechanics of materials
topic_unstemmed	misc TA401-492 misc Distortion of capillary bridges misc Mean and Gaussian curvatures impact misc Generalized Young–Laplace equation misc Bending effects misc Materials of engineering and construction. Mechanics of materials
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title	Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces
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title_sort	bending effects distorting axisymmetric capillary bridges. generalized young–laplace equation and associated capillary forces
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title_auth	Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces
abstract	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.
abstractGer	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.
abstract_unstemmed	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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title_short	Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces
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Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces

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