Numerical Study of the Effect of Surface Tension on Interface Instability

1969 The Physics of Fluids 124 citations

Abstract

A new technique for including the effect of surface tension in time-dependent, incompressible flow calculations is used to examine the linear and nonlinear phases of Rayleigh-Taylor instability. The variation of the linear growth rate with the surface tension coefficient and (for a fixed coefficient) with the wavenumber of the perturbation is shown to be in good agreement with Chandrasekhar's analytic prediction. In the nonlinear regime, it is shown how surface tension affects the growth of the Rayleigh-Taylor spike and provides the mechanism for drop separation from the spike.

Keywords

Rayleigh–Taylor instabilitySurface tensionPhysicsInstabilityWavenumberPerturbation (astronomy)MechanicsNonlinear systemCompressibilityCapillary lengthCapillary waveDrop (telecommunication)Chandrasekhar limitClassical mechanicsThermodynamicsOptics

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Publication Info

Year
1969
Type
article
Volume
12
Issue
7
Pages
1340-1354
Citations
124
Access
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Bart J. Daly (1969). Numerical Study of the Effect of Surface Tension on Interface Instability. The Physics of Fluids , 12 (7) , 1340-1354. https://doi.org/10.1063/1.1692673

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DOI
10.1063/1.1692673