The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width

Eyal Heifetz*, Yuval Reuveni, Alexander Gelfgat, Eliezer Kit, John Methven

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The Kelvin Helmholtz (KH) problem, with zero stratification, is examined as a limiting case of the Rayleigh model of a single shear layer whose width tends to zero. The transition of the Rayleigh modal dispersion relation to the KH one, as well as the disappearance of the supermodal transient growth in the KH limit, are both rationalized from the counterpropagating Rossby wave perspective.

Original languageEnglish
Article number018101
JournalPhysics of Fluids
Volume18
Issue number1
DOIs
StatePublished - 2006

Keywords

  • Dispersion relations
  • Flow instability
  • Shear flow
  • Waves

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