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

Kaoru Fujimura; Shinichiro Yanase; Jiro Mizushima

doi:10.1016/0169-5983(88)90011-1

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

Kaoru Fujimura, Shinichiro Yanase, Jiro Mizushima

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	15-24
Number of pages	10
Journal	Fluid Dynamics Research
Volume	4
Issue number	1
DOIs	https://doi.org/10.1016/0169-5983(88)90011-1
Publication status	Published - Jul 1988

ASJC Scopus subject areas

Mechanical Engineering
Physics and Astronomy(all)
Fluid Flow and Transfer Processes

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AU - Yanase, Shinichiro

AU - Mizushima, Jiro

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AB - 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.

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

Abstract

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