Stability of a hydrodynamic discontinuity

While looking from a far field at a discontinuous front separating incompressible ideal fluids of different densities, we identify two qualitatively different behaviors of the front-unstable and stable-depending upon whether the energy flux produced by the perturbed front is large or small compared...

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Bibliographic Details
Published in:Physica scripta 2015-01, Vol.90 (1), p.18002-7
Main Authors: Abarzhi, Snezhana I, Fukumoto, Yasuhide, Kadanoff, Leo P
Format: Article
Language:English
Subjects:
Density
Discontinuity
evolution of fronts and discontinuity
Fluid dynamics
Fluid flow
Flux
hydrodynamic instabilities of fluids
Incompressible flow
interfacial dynamics and multiphase flows
Kinetic energy
Landau-Darrieus instability
plasmas and materials
regular and singular perturbation analyses
Stability
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Summary:While looking from a far field at a discontinuous front separating incompressible ideal fluids of different densities, we identify two qualitatively different behaviors of the front-unstable and stable-depending upon whether the energy flux produced by the perturbed front is large or small compared to the flux of kinetic energy across the planar front. Landau's solution for the Landau-Darrieus instability is consistent with one of these cases.
ISSN:0031-8949
1402-4896
DOI:10.1088/0031-8949/90/1/018002