Stability of a hydrodynamic discontinuity

Snezhana I. Abarzhi, Yasuhide Fukumoto, Leo P. Kadanoff

Research output: Contribution to journalReview article

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number018002
JournalPhysica Scripta
Volume90
Issue number1
DOIs
Publication statusPublished - Jan 1 2015

Fingerprint

Discontinuity
Hydrodynamics
discontinuity
hydrodynamics
ideal fluids
Ideal Fluid
Far Field
Kinetic energy
Incompressible Fluid
far fields
kinetic energy
Unstable
Energy
energy

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

Cite this

Stability of a hydrodynamic discontinuity. / Abarzhi, Snezhana I.; Fukumoto, Yasuhide; Kadanoff, Leo P.

In: Physica Scripta, Vol. 90, No. 1, 018002, 01.01.2015.

Research output: Contribution to journalReview article

Abarzhi, Snezhana I. ; Fukumoto, Yasuhide ; Kadanoff, Leo P. / Stability of a hydrodynamic discontinuity. In: Physica Scripta. 2015 ; Vol. 90, No. 1.
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