Journal of Fluid Mechanics · 1987 · 232 citations · 23 references
EngineeringPhysicsFluid DynamicsFluid MechanicsRheologyCapillary PressureExperimental Fluid MechanicsFlow StabilityFluid PropertiesHydrodynamic StabilityCapillary InstabilityCapillary NumberCapillary Number EffectsCapillary PhenomenaFlow Instability ExperimentsParameter ControlWettingWetting Dynamics
An experiment on the Saffman-Taylor instability with wetting fluids is presented that explores a greater range of capillary numbers than did the original experiment of Saffman and Taylor. It turns out that no clear one-half plateau for the finger size is observed, and that the ensemble of experiments cannot be analysed in terms of a single control parameter. The effect of the film of oil left behind the finger is important, and we measure its thickness. A qualitative discussion of the instabilities of the fingers for large capillary numbers is presented, the first instability leading to asymmetrical fingers. Tip splitting appears for larger values of 1/ B . The 1/ B value for the onset of instabilities is shown to be noise dependent.
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The motion of long bubbles in tubes
F. P. Bretherton · Journal of Fluid Mechanics · 1961 · 2.3K citations
Deposition of a viscous fluid on the wall of a tube
Geoffrey Ingram Taylor · Journal of Fluid Mechanics · 1961 · 837 citations
Viscous flows in two dimensions
David Bensimon, Leo P. Kadanoff, Shoudan Liang et al. · Reviews of Modern Physics · 1986 · 751 citations