On the capillarity equation in two dimensions

DOI10.1007/S00021-016-0257-6zbMath1398.76007arXiv1603.07329OpenAlexW3102430389MaRDI QIDQ520544

Rajat Bhatnagar, Robert Finn

Publication date: 3 April 2017

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07329

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Interfacial stability and instability in hydrodynamic stability (76E17) Capillarity (surface tension) for incompressible viscous fluids (76D45) Foundations of fluid mechanics (76A02)

Related Items (10)

Surface tension force on a partially submerged horizontal concave cylinder ⋮ Effects of surface tension on a floating body in two dimensions ⋮ Eccentricity effect on horizontal capillary emptying ⋮ Exotic flotation theory with new method for floating stability analysis ⋮ Rounded-corners-induced re-entrant non-occlusion in a horizontal tube ⋮ Bifurcation of a partially immersed plate between two parallel plates ⋮ Capillary plugs in horizontal rectangular tubes with non-uniform contact angles ⋮ The force singularity for partially immersed parallel plates ⋮ Capillary surfaces in and around exotic cylinders with application to stability analysis ⋮ Inside rod induced horizontal capillary emptying

Cites Work

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• The force singularity for partially immersed parallel plates
• The stability of the axially symmetric pendent drop
• Attractions and repulsions of parallel plates partially immersed in a liquid bath. III
• Force profiles for parallel plates partially immersed in a liquid Bath
• Mutual attractions of partially immersed parallel plates
• The shape of a pendant liquid drop
• Uniqueness of the singular solution to the capillary equation
• On Young’s Paradox, and the attractions of immersed parallel plates

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