Liquid bridge stabilization: Theory guides a codimension-two experiment

DOI10.1016/S0045-7825(98)00195-9zbMath0947.76025MaRDI QIDQ1965142

Jody M. Herndon, Nathaniel D. Robinson, Paul H. Steen, Yi-Ju Chen

Publication date: 2 November 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Lyapunov-Schmidt methodcylindrical liquid bridgelubrication-flow approximationPlateau-Rayleigh limit

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Interfacial stability and instability in hydrodynamic stability (76E17) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• Stability of core-annular flow with a small viscosity ratio
• Shear stabilization of the capillary breakup of a cylindrical interface
• Stability of slender liquid bridges subjected to axial flows
• Suppression of the capillary instability in the Rayleigh–Taylor slot problem
• Stabilization of an axisymmetric liquid bridge by viscous flow

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