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An experimental study of the Saffman-Taylor instability
229
Citations
23
References
1987
Year
Numerical AnalysisEngineeringLiquid-liquid FlowFluid MechanicsMechanical EngineeringWettingFinger SizeTip SplittingStabilityMechanicsCapillarity PhenomenonNumerical SimulationRheologyNumerical StabilityWetting FluidsHydrodynamic StabilityPerturbation MethodPhysicsMultiphase FlowSaffman-taylor InstabilitySingularly Perturbed ProblemFluid-solid Interaction
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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