A spatial analogue of transient growth in plane Couette flow

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Abstract

The linear response of an inviscid two-dimensional Couette flow disturbed by a time-periodic forcing is studied under the assumption that the forcing is distributed along a straight line. When the forcing is tilted against the shear, the disturbance streamfunction and energy are shown to be locally amplified downstream of the source before decaying at large distance. This spatially localized amplification is interpreted as an analogue of the transient growth phenomenon studied in the context of unforced intial-value problems. The self-consistency of the linear approximation and the instability of the disturbance are also examined.

Original languageEnglish
Pages (from-to)317-330
Number of pages14
JournalJournal of Fluid Mechanics
Volume397
Publication statusPublished - 25 Oct 1999

Keywords

  • DISTURBANCES
  • INSTABILITIES
  • STABILITY
  • LAYERS
  • JET

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