Modulational instability of plane waves in a two-dimensional jet and wake

Kaoru Fujimura, Shinichiro Yanase, Jiro Mizushima

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The modulational instability problem is reformulated by the amplitude expansion method. A generalized version of the Stewartson-Stuart equation is derived, which is applicable to any supercritical state as long as the amplitude of the disturbance is small. The modulational instability of plane waves in a two-dimensional jet and wake is investigated on the basis of this equation, and it is found that the plane waves are stable to side-band disturbances in supercritical states except in the close neighbourhood of the critical state.

Original languageEnglish
Pages (from-to)15-24
Number of pages10
JournalFluid Dynamics Research
Volume4
Issue number1
DOIs
Publication statusPublished - 1988

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two dimensional jets
wakes
plane waves
disturbances
expansion

ASJC Scopus subject areas

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

Cite this

Modulational instability of plane waves in a two-dimensional jet and wake. / Fujimura, Kaoru; Yanase, Shinichiro; Mizushima, Jiro.

In: Fluid Dynamics Research, Vol. 4, No. 1, 1988, p. 15-24.

Research output: Contribution to journalArticle

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