On the two-dimensionality of the critical disturbances for stratified viscous plane parallel shear flows

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Abstract

It is rigorously proved that the most critical small disturbances to a stratified viscous plane parallel shear flow between rigid horizontal boundaries must be either two-dimensional (2-D) transverse or longitudinal modes, and that there are no marginally stable flows for which truly 3-D disturbances are neutrally stable. This allows the linear stability analysis to be restricted to (two classes of) 2-D disturbances.

Original languageEnglish (US)
Pages (from-to)751-753
Number of pages3
JournalPhysics of fluids
Volume28
Issue number2
DOIs
StatePublished - 1985
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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