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  1. Journal of Mathematical Fluid Mechanics
  2. Journal of Mathematical Fluid Mechanics : Volume 16
  3. Journal of Mathematical Fluid Mechanics : Volume 16, Issue 4, December 2014
  4. Liquid Bridges Between Contacting Balls
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Journal of Mathematical Fluid Mechanics : Volume 19
Journal of Mathematical Fluid Mechanics : Volume 18
Journal of Mathematical Fluid Mechanics : Volume 17
Journal of Mathematical Fluid Mechanics : Volume 16
Journal of Mathematical Fluid Mechanics : Volume 16, Issue 4, December 2014
Local Controllability to Trajectories of the Magnetohydrodynamic Equations
Instability of Equatorial Water Waves with an Underlying Current
Strong L p -Solutions of the T α-Type Navier–Stokes Equation and the Regularizing-Decay Rate Estimation
Hölder Continuity of Solutions to the Kinematic Dynamo Equations
The Rot-Div System in Exterior Domains
A Weak-L p Prodi–Serrin Type Regularity Criterion for the Navier–Stokes Equations
Nonlinear Stability of Convection in a Porous Layer with Solid Partitions
Liquid Bridges Between Contacting Balls
On the Regularity of Weak Solutions to the MHD System Near the Boundary
Incompressible Limit for the Compressible Flow of Liquid Crystals
On a Nonlinear Model for Tumor Growth: Global in Time Weak Solutions
Noise Prevents Infinite Stretching of the Passive Field in a Stochastic Vector Advection Equation
Higher Integrability of Solutions to Generalized Stokes System Under Perfect Slip Boundary Conditions
Journal of Mathematical Fluid Mechanics : Volume 16, Issue 3, September 2014
Journal of Mathematical Fluid Mechanics : Volume 16, Issue 2, June 2014
Journal of Mathematical Fluid Mechanics : Volume 16, Issue 1, March 2014
Journal of Mathematical Fluid Mechanics : Volume 15
Journal of Mathematical Fluid Mechanics : Volume 14
Journal of Mathematical Fluid Mechanics : Volume 13
Journal of Mathematical Fluid Mechanics : Volume 12
Journal of Mathematical Fluid Mechanics : Volume 11
Journal of Mathematical Fluid Mechanics : Volume 10
Journal of Mathematical Fluid Mechanics : Volume 9
Journal of Mathematical Fluid Mechanics : Volume 8
Journal of Mathematical Fluid Mechanics : Volume 7
Journal of Mathematical Fluid Mechanics : Volume 6
Journal of Mathematical Fluid Mechanics : Volume 5
Journal of Mathematical Fluid Mechanics : Volume 4
Journal of Mathematical Fluid Mechanics : Volume 3
Journal of Mathematical Fluid Mechanics : Volume 2
Journal of Mathematical Fluid Mechanics : Volume 1

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Liquid Bridges Between Contacting Balls

Content Provider SpringerLink
Author Vogel, Thomas I.
Copyright Year 2014
Abstract The problem studied is that of a rotationally symmetric liquid bridge between two contacting balls of equal radius, with the same contact angle with both balls, and in the absence of gravity. The bridge surface must be of constant mean curvature, hence a Delaunay surface. If the contact angle is less than $${\frac{\pi}{2}}$$ , existence of a rotationally symmetric bridge is shown for a large range of the relevant parameter, giving unduloidal, catenoidal, and nodoidal bridges. If the contact angle is greater than or equal to $${\frac{\pi}{2}}$$ , it is shown that no stable rotationally symmetric bridge which is symmetric across the perpendicular bisector of the line segment between the two centers of the balls exists. Existence therefore depends discontinuously on contact angle.
Ending Page 744
Page Count 8
Starting Page 737
File Format PDF
ISSN 14226928
e-ISSN 14226952
Journal Journal of Mathematical Fluid Mechanics
Issue Number 4
Volume Number 16
Language English
Publisher Springer Basel
Publisher Date 2014-07-16
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mathematical Methods in Physics Fluid- and Aerodynamics Capillarity (surface tension) Minimal surfaces, surfaces with prescribed mean curvature Classical Continuum Physics
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics
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